Table of Contents
Before Using the Calculator
................................................... 5
Read This First ........................................................................................5
About This Manual ......................................................................................... 5
Key Operations .............................................................................................. 5
Menu Operations ............................................................................................6
Key and Key ........................................................................................7
Examples
....................................................................................................... 7
Initializing the Calculator .........................................................................7
Calculator "Get Started" Screen ............................................................. 7
Precautions .............................................................................................8
Safety Precautions .........................................................................................8
Handling Precautions ................................................................................... 11
Getting Started ......................................................................................12
Attaching and Removing the Front Cover ....................................................12
Turning Power On and Off ........................................................................... 13
HOME Screen ..............................................................................................14
Adjusting Display Contrast ...........................................................................14
Key Markings ............................................................................................... 14
Indicators ......................................................................................................15
Using Menus ................................................................................................ 15
Calculator Apps and Menus ................................................. 19
Calculator Apps .....................................................................................19
Selecting a Calculator App ...........................................................................19
Installed Calculator App List .........................................................................19
Using the SETTINGS Menu ..................................................................20
Changing Calculator Settings .......................................................................21
Items and Available Setting Options ............................................................ 21
Using the CATALOG Menu and CATALOG List ....................................26
CATALOG Menu .......................................................................................... 26
CATALOG List ..............................................................................................27
Example Operations .....................................................................................27
Using the TOOLS Menu ........................................................................28
Inputting Expressions and Values .......................................29
Basic Input Rules ..................................................................................29
Inputting an Expression Using Natural Textbook Format (MathI/MathO or
MathI/DecimalO Only) ...........................................................................30
Undo Operations ..........................................................................................31
Using Values and Expressions as Arguments ............................................. 31
Overwrite Input Mode (LineI/LineO or LineI/DecimalO Only) ................31
Basic Calculations .................................................................32
Arithmetic Calculations ......................................................................... 32
1
Fraction Calculations ............................................................................ 32
Powers, Power Roots, and Reciprocals
................................................34
Pi, Natural Logarithm Base e ................................................................ 37
Pi ..................................................................................................................37
Natural Logarithm Base e .............................................................................37
Calculation History and Replay .............................................................38
Calculation History ....................................................................................... 38
Replay ..........................................................................................................38
Using Memory Functions ...................................................................... 39
Answer Memory (Ans) ..................................................................................39
Variables (A, B, C, D, E, F, x, y, z) ................................................................ 39
Clearing the Contents of All Memories .........................................................42
Changing Calculation Result Format .................................. 43
Toggling Calculation Results between Standard (Fraction, π, √
Form)
and Decimal
..........................................................................................43
Changing the Display Format of Calculation Results (FORMAT Menu) ...
...............................................................................................................44
FORMAT Menu List ......................................................................................44
Conversion Sample Operation .....................................................................45
Standard and Decimal Conversion ....................................................... 45
Prime Factorization ...............................................................................46
Recurring Decimal Conversion (Recurring Decimal Calculations) ........47
Converting a Calculation Result to a Recurring Decimal Value ................... 47
Inputting a Recurring Decimal ......................................................................47
Recurring Decimal Calculation Example ......................................................48
Improper Fraction and Mixed Number Conversion ...............................49
Standard Form (a×10
n
) ......................................................................... 49
Sexagesimal Conversion (Degree, Minute, Second Calculations)
....... 49
Converting a Decimal Value Calculation Result to a Sexagesimal Value .... 49
Inputting and Calculating with a Sexagesimal Value ....................................50
Advanced Calculations .........................................................51
Function Analysis ..................................................................................51
Logarithm(logab), Logarithm(log) .................................................................51
Natural Logarithm .........................................................................................52
Probability ............................................................................................. 52
% ..................................................................................................................52
Factorial(!) ....................................................................................................53
Permutation(P), Combination(C) ..................................................................53
Random Number ..........................................................................................53
Random Integer ........................................................................................... 53
Numeric Calculations ............................................................................54
GCD, LCM ....................................................................................................54
Absolute Value ............................................................................................. 54
Recurring Decimal ........................................................................................55
Round Off .....................................................................................................55
2
Angle Unit, Polar/Rectangular Coordinate, Sexagesimal ..................... 55
Degrees, Radians, Gradians
........................................................................55
Rect to Polar, Polar to Rect ..........................................................................56
Degrees, Minutes, Seconds .........................................................................56
Hyperbolic, Trigonometric ..................................................................... 57
Hyperbolic Functions ....................................................................................57
Trigonometric Functions ...............................................................................57
Others ................................................................................................... 58
Registering and Using Defining Equations for f(x) and g(x)
..................................................................................................59
Registering and Using Defining Equations for f(x) and g(x) .................. 59
Registering a Defining Equation ...................................................................59
Performing a Calculation by Assigning a Value to the Registered Defining
Equation .......................................................................................................60
Registering a Composite Function ...............................................................60
Data Retention ............................................................................................. 61
Using QR Code Functions ....................................................62
Using QR Code Functions .................................................................... 62
Displaying a QR Code ..................................................................................62
If You Experience Difficulty Scanning a QR Code ........................................63
Using Calculator Apps ..........................................................64
Statistical Calculations ..........................................................................64
General Procedure for Performing a Statistical Calculation .........................64
Inputting Data with Statistics Editor ..............................................................65
Displaying Statistical Calculation Results .................................................... 68
Using Statistical Calculation Screen ............................................................ 72
Statistical Calculation Formula .....................................................................77
Creating a Number Table ......................................................................80
General Procedure for Creating a Number Table .........................................80
Maximum Number of Rows in a Number Table According to Table Type .... 81
Defining Equation Registration .....................................................................82
Editing Number Table Screen Data ..............................................................82
f(x) and g(x) Update Timing .......................................................................... 83
Data Retention ............................................................................................. 83
Ratio Calculations .................................................................................84
General Procedure for Performing a Ratio Calculation ................................84
Calculation Example .................................................................................... 85
Using Math Box .....................................................................................85
Dice Roll .......................................................................................................85
Coin Toss ..................................................................................................... 89
Number Line .................................................................................................92
Circle ............................................................................................................96
Technical Information ......................................................... 101
Errors .................................................................................................. 101
3
Displaying the Location of an Error ............................................................101
Error Messages
..........................................................................................101
Before Assuming Malfunction of the Calculator... ............................... 103
Replacing the Battery ..........................................................................104
Calculation Priority Sequence .............................................................105
Calculation Ranges, Number of Digits, and Precision ........................ 107
Calculation Range and Precision ...............................................................107
Function Calculation Input Ranges and Precision ..................................... 107
Specifications ......................................................................................110
Frequently Asked Questions .............................................. 111
Frequently Asked Questions ............................................................... 111
4
Before Using the Calculator
Read This First
About This Manual
• In no event shall CASIO Computer Co., Ltd. be liable to anyone for
special, collateral, incidental, or consequential damages in connection
with or arising out of the purchase or use of this product and items that
come with it. Moreover
, CASIO Computer Co., Ltd. shall not be liable for
any claim of any kind whatsoever by any other party arising out of the
use of this product and the items that come with it.
• The contents of this manual are subject to change without notice.
• The displays and illustrations (such as key markings) shown in this
manual are for illustrative purposes only, and may differ somewhat from
the actual items they represent.
• QR Code is a registered trademark of DENSO WAVE INCORPORATED
in Japan and in other countries.
• Company and product names used in this manual may be registered
trademarks or trademarks of their respective owners.
Key Operations
The example below shows how key operations are represented in this
manual.
Example 1:
Keys should be pressed in the sequence shown above (left to right).
Example 2: (π)*
The above indicates you should press and then , which will input
a π symbol. All multiple-key input operations are indicated like this. Key
cap markings are shown, followed by the input character or command in
parentheses.
5
* Refer to "Key Markings"
(page 14) for more information about the key
symbols used in this example.
Example 3:
, , , , ,
• Individual cursor keys indicated by (1) are represented as , , ,
.
• Individual page scroll keys indicated by (2) are represented as , .
Menu Operations
Some operations in this manual use a simplified form of menu operations,
as shown in the examples below
.
Example 1
– [Other] > [π]
or
Press , and then select [Other] > [π].
Actual Operation 1
1. Press .
2. Use and to select [Other], and then press .
3. Use and to select [π], and then press .
Example 2
– Calculate
or
6
Press , select the Calculate app icon, and then press .
Actual Operation 2
1. Press .
2. Use the cursor keys ( , , , ) to select the Calculate app icon,
and then press .
Key and Key
The key and key perform the same operation. In this manual, is
used for selecting or applying a setting, while is used for executing a
calculation. Note, however
, that it makes no difference whether you press
or for operations where either or is shown.
Examples
If you are not instructed to use a specific calculator app or to configure
particular settings for an example operation, the app and settings below
are assumed.
Calculator app: Calculate
Settings: Initial default calculator settings
For information about returning the calculator to its initial default settings,
see "Initializing the Calculator"
(page 7).
Initializing the Calculator
Important!
• The procedure below initializes all calculator settings, except for Contrast and Auto
Power Of
f. Also clears all data stored in calculator memory.
1. Press
to display the HOME screen.
2. Use the cursor keys ( , , , ) to select a calculator app icon,
and then press .
3. Press , and then select [Reset] > [Initialize All] > [Yes].
• This displays the HOME screen.
Calculator "Get Started" Screen
While the HOME screen is displayed, pressing the key will display the
"Get Started" screen, which includes the information below.
7
• QR Code for accessing the "Get Started" webpage of the Worldwide
Education Service (https://wes.casio.com/calc/cw/)
The Get Started webpage gives you access to the User
’s Guide and
other related information to help you get started with your calculator.
• Calculator ID number (24-character string)
Press
to return to the HOME screen.
Note
• You can also display the Get Started screen, by selecting it from the SETTINGS menu.
See "Using the SETTINGS Menu"
(page 20).
Precautions
Safety Precautions
Thank you for purchasing this CASIO product.
Be sure to read the "Safety Precautions" before using this product to
ensure that you use it correctly. Be sure to keep all user documentation
handy for future reference.
Symbol Examples
The symbol indicates something you should not do.
The symbol indicates something you must do.
8
Danger
Indicates something that creates the major risk of death or
serious personal injury.
Button Type and Coin Type Battery Precautions (fx-85GT
CW+ only)
Take care to ensure that a battery will not be swallowed
accidentally
.
Particular care is required to keep batteries away from
children.
Should a battery be swallowed accidentally or if there is a possibility
that a battery has been swallowed, immediately contact a physician.
Swallowing a battery can result in chemical burns, mucosal tissue
penetration, and other serious problems that create the risk of death.
Warning
Indicates something that creates the risk of death or serious
personal injury.
Display Screen
Do not press the LCD or subject it to strong impact.
Doing so can cause the LCD glass to crack, creating the risk of
personal injury
.
Should the LCD become cracked, never touch any of the
liquid inside.
LCD liquid getting on the skin creates the risk of skin irritation.
Should LCD liquid get into your mouth, immediately rinse your mouth
out and contact your physician.
Should LCD liquid get in your eyes or on your skin, rinse with clean
water and then contact your physician.
Battery Precautions
Should fluid leaking from a battery get on your skin or
clothing, immediately rinse it off with clean water
.
Battery fluid getting into the eyes creates the risk of eyesight loss, etc.
Rinse the eyes and then immediately contact a physician.
9
Caution
Indicates something that creates the risk of minor personal injury
or physical damage.
Observe the precautions below. Failure to do so can cause a
battery to rupture, creating the risk of fire, personal injury
, and
soiling of nearby objects by leaking fluid.
• Do not try to take a battery apart and never allow a battery to
become shorted.
• Do not charge a non-rechargeable battery.
• Do not expose a battery to heat or throw it into fire.
• Use only the specified type of battery.
• Load a battery with its poles (plus (+) and minus (–)) facing
correctly
.
• Replace the battery as soon as possible after it goes dead.
Battery Precautions
Observe the precautions below. Failure to do so can cause the
battery to explode or leak flammable liquid or gas.
• Remove and immediately recycle or dispose of used batteries
according to local regulations and keep away from children. Do not
dispose of batteries in household trash or incinerate.
• Even used batteries may cause severe injury or death.
• Call a local poison control center for treatment information.
• Use only the type of battery that is specified for this product.
• Do not burn a battery or dispose of it in an incinerator, or by
mechanical crushing or cutting.
• Do not subject a battery to excessively high or low temperatures
during use, storage, or transport.
• Do not subject a battery to excessively low barometric pressure
during use, storage, or transport.
• Remove and immediately recycle or dispose of batteries from
equipment not used for an extended period of time according to
local regulations.
• Always completely secure the battery compartment.
If the battery compartment does not close securely
, stop using the
product, remove the batteries, and keep them away from children.
10
How to Replace the Battery
The procedure for replacing the battery varies depending on the product.
Product name Battery type
Battery replacement
method
fx-83GT CW+ AAA-size battery R03
Please replace the battery
yourself.
fx-85GT CW+
Built-in solar cell;
button battery LR44 × 1
For safety reasons, please
do not replace the battery
yourself.
Always leave battery
replacement up to an
authorized CASIO service
center
.
Handling Precautions
• fx-83GT CW+: Even if the calculator is operating normally, replace the
battery at least once every two years (R03).
fx-85GT CW+: Even if the calculator is operating normally, replace the
battery at least once every two years (LR44).
A dead battery can leak, causing damage to and malfunction of the
calculator. Never leave a dead battery in the calculator. Do not try using
the calculator while the battery is completely dead (fx-85GT CW+).
• You will be charged for malfunction or damage due to battery leakage,
which is not covered by the warranty
.
• The battery that comes with the calculator discharges slightly during
shipment and storage. Because of this, it may require replacement
sooner than the normal expected battery life.
• Avoid use and storage of the calculator in areas subjected to
temperature extremes, and large amounts of humidity and dust.
• Do not subject the calculator to excessive impact, pressure, or bending.
• Never try to take the calculator apart.
• Use a soft, dry cloth to clean the exterior of the calculator.
• Whenever discarding the calculator or batteries, be sure to do so in
accordance with the laws and regulations in your particular area.
11
Getting Started
Attaching and Removing the Front Cover
T
o remove the front cover
Before using the calculator, remove the front cover (①) and attach it to the
back (②).
To attach the front cover
When you are not using the calculator, remove the front cover (①) and
attach it to the front (②).
12
Important!
• Always attach the front cover to the calculator whenever you are not using it.
Otherwise, accidental operation of the key can cause the power to turn on and
run down the battery
.
Turning Power On and Off
Press
to turn on the calculator.
Press (OFF) to turn off the calculator.
Note
• To turn on power, long-press
. To avoid turning on power accidentally, the top of
key is slightly lower than the other keys.
• If the screen shown below appears right after you turn on power, it means that
remaining battery power is low
.
If this screen appears, replace the battery as soon as possible. For details about
battery replacement, see "Replacing the Battery" (page 104).
• The calculator also will turn off automatically after approximately 10 minutes or 60
minutes of non-use. Press the key to turn the calculator back on.
13
HOME Screen
Pressing displays the HOME screen. The HOME screen shows a list of
installed calculator apps.
HOME Screen Calculate App Screen
For information about installed calculator apps, see "Installed Calculator
App List" (page
19).
Adjusting Display Contrast
1. Press
, select a calculator app icon, and then press .
2. Press , and then select [System Settings] > [Contrast].
3. Use and to adjust display contrast.
4. After the setting is the way you want, press .
Important!
• If adjusting display contrast does not improve display readability, it probably means
that battery power is low
. Replace the battery.
Key Markings
Pressing the
key followed by a second key performs the alternate
function of the second key
. The alternate function is indicated by the text
printed above the key, on the left.
(1) Keycap function:
(2) Alternate function: (π)
14
Indicators
Indicators
The table below describes indicators that appear at the top of the screen.
This indicator: Means this:
The keypad has been shifted by pressing the
key. The keypad will unshift and this indicator will
disappear when you press a key
.
MathI/MathO or MathI/DecimalO is selected for
Input/Output on the SETTINGS menu.
/ /
Current setting of Angle Unit ( : Degree, :
Radian, or : Gradian) on the SETTINGS menu.
FIX A fixed number of decimal places is in effect.
SCI A fixed number of significant digits is in effect.
/
There is previous ( ) or following ( ) calculation
history for the currently displayed calculation
result.
Calculator is being powered directly by its solar
cells, either entirely or in some combination with
the battery
. (fx-85GT CW+ only)
Using Menus
Many of the operations of your calculator are performed using menu
screens. The example below shows operations starting from the menu
screen that appears when you press
.
15
Selecting a Menu Item
There are two ways to select an item on a menu.
• Method 1: Use the cursor keys to move the highlighting to the item
you want to use and then press .
• Method 2: Press the key that corresponds to the number or symbol
to the left of the item you want to select.
The number or symbol to the left of an item is its "Option Number".
Option Numbers
• You can use Option Numbers to select a menu by pressing its
corresponding number or symbol key even if its menu is not currently
displayed.
• Option Numbers are displayed when "On" is selected for the Show
Option Num (page 25)
setting on the SETTINGS menu and not
displayed when "Off" is selected. The default setting is On. Note that
menu operations you execute by pressing number and symbol keys
remain in effect even when "Off" is selected for the Show Option Num
setting.
16
Example of Menu Operations Using Option Numbers
1. Press , select the Calculate app icon, and then press .
• This displays the Calculate app’s initial screen.
2. Press , and then press to select [System Settings].
• This displays the menu items included under [System Settings].
3. Press to select [Show Option Num].
4. Press (Off).
• This turns off the Show Option Num setting, which causes the Option
Numbers to the left of the menu items to disappear
.
5. Press to close the menu.
6. Perform the following key operation: press , (System Settings),
(Show Option Num), (On).
• This turns on the Show Option Num setting, which causes the Option
Numbers to reappear
.
7. Press to close the menu.
Navigating Between Menu Hierarchies
The " " indicator to the right of a menu item means that there are lower
hierarchy levels under that item. Selecting the menu item and pressing
17
or navigates the next lower level of the hierarchy. To return to the next
upper level of the hierarchy
, press
.
Note
• If you are in a lower level of the hierarchy of a one-column menu, you can press
in
addition to to return to the next higher level.
Selecting a Menu Item with a Radio Button ( / )
When the display shows a list of multiple options, each option will have a
radio button ( or ) to its left. indicates the currently selected option.
T
o configure the setting of a radio button menu item
1. Highlight the applicable menu item and then press
.
• What happens next depends on the type of menu item you selected.
- If there are no more settings to configure for the menu item you
selected, the radio button next to it will change to .
- The menu item you selected has more settings to configure, a
screen for selecting the menu item setting will appear
. In this case,
proceed to step 2.
2. On the setting screen, highlight the setting you want and then press
.
• This returns to the menu item screen in step 1, with the radio button
next to the menu item you previously selected changed to .
Scrolling Between Screens
A scroll bar will appear along the right side of the display when there are
so many menu items that they do not fit on one screen.
• Use and to scroll between screens.
• Use and to scroll line-by-line.
T
o close the menu and return to the screen displayed before
the menu
Press
.
Note
• You can close a menu displayed by pressing
, , , , , or ( )
by pressing . If the displayed menu is one that appears immediately after launching
a particular calculator app or if it is an app-specific menu, you cannot close it by
pressing . In that case, you must press to close the menu.
18
Calculator Apps and Menus
Calculator Apps
Selecting a Calculator App
Select a calculator app that is suitable for the type of calculation you want
to perform.
1. Press to display the HOME screen.
• For information about each calculator app, see the "Installed
Calculator App List"
(page 19).
2. Use the cursor keys to move the highlighting to the icon of the app you
want to start up, and then press .
Alternatively, you can press a key that is shown in the upper right corner
of the icon to start up an app.
• If 1 is shown in the upper right corner of the icon, press .
Installed Calculator App List
Icon Description
(Calculate)
General calculations
(Statistics)
Statistical and regression
calculations
(Table)
Generates a number table based on
one or two functions
19
(Ratio)
Ratio calculations
(Math Box)
The following functions to support
math learning.
Dice Roll, Coin T
oss: Probability
simulation
Number Line: Number line graphs
for up to three equalities or
inequalities
Circle: Angles and trigonometric
values shown using a Unit Circle or
Half Circle figure. Angles can also
be shown using a Clock figure.
Using the SETTINGS Menu
T
o display the SETTINGS menu, press
while using a calculator app.
The SETTINGS menu includes the menu items below
.
Calc Settings
Includes menu items for configuring calculation
settings, such as the display format for
calculation results.
System Settings
Includes menu items for configuring calculator
operation settings, such as contrast adjustment.
Reset
Includes menu items for performing various types
of reset operations.
Get Started
Displays the Get Started screen. For more
information, see "Calculator "Get Started"
Screen" (page 7).
20
Note
• Pressing while the HOME screen is displayed will display the Get Started screen
instead of the SETTINGS menu.
• Depending on the screen displayed by the calculator app, pressing may not
display the SETTINGS menu.
Changing Calculator Settings
1. Press
, select a calculator app icon, and then press .
2. Press to display the SETTINGS menu.
3. Use and to select Calc Settings or System Settings, and then
press .
• This displays a list of setting items included on the selected menu.
The screen here shows an example of what appears when [Calc
Settings] is selected.
• See "Items and A
vailable Setting Options" (page 21) for the
setting items included for [Calc Settings] and [System Settings].
4. Use
and to highlight the item whose setting you want to change,
and then press .
• This displays a list of setting options for the item you selected.
The screen here shows an example of what appears when [Input/
Output] is selected.
5. Use and to highlight the option you want, and then press .
6. After the setting is the way you want, press .
Items and A
vailable Setting Options
"◆" indicates the initial default setting.
21
Calc Settings > Input/Output
Specifies the format to be used by the calculator for expression input and
calculation result output.
MathI/MathO
◆
Input: Natural Textbook; Output:
Format that includes a fraction, √ ,
and/or π*
1
MathI/DecimalO
Input: Natural Textbook; Output:
Converted to decimal value
LineI/LineO
Input: Linear*
2
; Output: Decimal or
fraction
LineI/DecimalO
Input: Linear*
2
; Output: Converted
to decimal value
*
1
Decimal output is applied when these formats cannot be output for
some reason.
*
2
All calculations, including fractions and functions are input in a single
line. Same output format as that for models without Natural Textbook
Display (S-V.P.A.M. models, etc.)
Input/output format display examples:
MathI/MathO
(initial default setting)
MathI/DecimalO
(Number Format: Norm1:1.23 )
(Number Format: Norm2:0.00123)
LineI/LineO
LineI/DecimalO
(Number Format: Norm2:0.00123)
22
Calc Settings > Angle Unit
Degree
◆
; Radian; Gradian
Specifies degree, radian or gradian as the angle unit for value input and
calculation result display
.
Calc Settings > Number Format
Specifies the number of digits for display of a calculation result.
Fix: The value you specify (from 0 to 9) controls the number of decimal
places for displayed calculation results. Calculation results are rounded off
to the specified digit before being displayed.
Example: 1 ÷ 6
(Fix3:0.123)
1
6 ( )*
Sci: The value you specify (from 1 to 10) controls the number of significant
digits for displayed calculation results. Calculation results are rounded off
to the specified digit before being displayed.
Example: 1 ÷ 6
(Sci3 :1.23 )
1 6 ( )*
Norm: Displays calculation results in exponential format when they fall
within the ranges below
.
Norm 1: 10
-2
> |x|, |x|
≥ 10
10
, Norm 2
◆
: 10
-9
> |x|, |x| ≥ 10
10
Example: 1 ÷ 200
(Norm1:1.23
)
1 200 ( )*
(Norm2:0.00123)
1 200 ( )*
23
* Pressing ( ) instead of after inputting a calculation will display
the calculation result in decimal form.
Calc Settings > Fraction Result
Mixed Number; Improp Fraction
◆
Specifies either mixed number or improper fraction for display of fractions
in calculation results.
Calc Settings > Decimal Mark
Dot
◆
; Comma
Specifies whether to display a dot or a comma for the calculation result
decimal mark. A dot is always displayed during input. When dot is selected
as the decimal mark, the separator for multiple results is a comma (,).
When comma is selected, the separator is a semicolon (;).
Calc Settings > Digit Separator
On
◆
; Off
Specifies whether or not a separator character should be used in
calculation results.
Calc Settings > Key
This setting specifies the operation of the key. For more information
and example operations, see " Key (Power of 10)" (page 35).
(Power)
Pressing produces the same input
result as pressing .
(Sci Notat)
◆
Pressing
inputs the function . This
function takes arguments before and after
it with the form a
n
(n is an integer) and
returns the result of 10
n
multiplied by a.
Calc Settings > FORMAT Key
Y
ou can toggle what happens when
is pressed between the two
operations described below
.
24
Decimal
◆
Each press of
toggles the displayed
calculation result between a form that
includes fraction/π/√ and decimal form.
Press ( ) to display the FORMAT
menu.
Format Menu
Press to display the FORMAT menu.
Each press of ( ) toggles the
displayed calculation result between a
form that includes fraction/π/√ and
decimal form.
System Settings > Contrast
See "Adjusting Display Contrast"
(page 14).
System Settings > Auto Power Off
10 Min.
◆
; 60 Min.
Specify the amount of time until Auto Power Of
f is triggered.
System Settings > MultiLine Font
Normal Font
◆
; Small Font
Specifies the display font size when LineI/LineO or LineI/DecimalO is
selected for Input/Output. Up to four lines can be displayed while Normal
Font is selected, and up to six lines can be displayed with Small Font.
System Settings > Show Option Num
On
◆
; Off
Specifies whether to show Option Numbers (numbers and symbols to
the left of menu items) on menus and dialogs. For details about Option
Numbers, see "Selecting a Menu Item"
(page 16).
System Settings > QR Code
Specifies the version of the QR Code displayed when
(QR) is
pressed.
V
ersion 3: Indicates QR Code Version 3.
25
Version 11
◆
: Indicates QR Code Version 11.
Reset > Settings & Data
See "T
o initialize calculator settings" (page 26).
Reset > Variable Memory
See "Clearing the Contents of All Memories" (page 42).
Reset > Initialize All
See "Initializing the Calculator" (page 7).
Get Started
See "Calculator "Get Started" Screen" (page 7).
To initialize calculator settings
Important!
• The procedure below initializes all calculator settings, except for Contrast and Auto
Power Of
f. Also clears all data except for variable memory and Ans data.
1. Press
, select a calculator app icon, and then press .
2. Press , and then select [Reset] > [Settings & Data] > [Yes].
• This displays the HOME screen.
Using the CA
TALOG Menu and
CATALOG List
CATALOG Menu
Press
to display the CATALOG menu like the one shown below. This
menu shows categories of the commands, functions, and symbols in
accordance with the calculator app you are currently using and the current
status (displayed screen or current settings) of the app.
26
Example: CATALOG menu of the Calculate app
CATALOG List
Pressing ( ) displays the CATALOG list like the one shown below
instead of the CA
TALOG menu. By pressing the key indicated in a black
circle (
) on this list, you can input the command, function or symbol
followed by the circle.
Example: CATALOG list of the Calculate app
Example Operations
Example: T
o calculate 20% of 30 in the Calculate app
Using the CATALOG menu:
30
20
[Probability] > [%]
Using the CATALOG list:
30
20
( )
27
*
* Items that appear on the CATALOG list vary depending on the current
settings and the app you are using. Because of this, "%" may not always
be input with the same key. Be sure to find the function, command or
symbol you want to input on the CATALOG list and press the appropriate
key.
Note
• For information about all commands, functions, and symbols that can be input from the
CA
TALOG menu, see "Advanced Calculations" (page 51).
• For information about the commands, functions, and symbols specific to each
calculator app, refer to the calculator app descriptions in "Using Calculator Apps"
(page 64).
Using the TOOLS Menu
The TOOLS menu that appears when you press
includes menu items
for performing functions specific to each calculator app and for configuring
settings.
Example: TOOLS menu for the Calculate app
Examples: TOOLS menu for the Table app
Note
• The menu items below are common to multiple calculator apps.
- Undo (See "Undo Operations"
(page 31).)
28
Inputting Expressions and
V
alues
Basic Input Rules
When you press
the priority sequence of the input calculation will be
evaluated automatically and the result will appear on the display
.
4 × sin 30 × (30 + 10 × 3) = 120
*
1
Input of the closing parenthesis is required for sin and other functions
that include parentheses.
*
2
These multiplication symbols (×) can be omitted.
*
3
The closing parenthesis immediately before the operation can be
omitted.
Moving the Cursor to the Beginning or End of an Input
Expression
While inputting an expression, you can press to make the cursor
jump to the beginning of the expression or to jump to the end of the
expression.
Input Expression and Calculation Result "More" Indicator ( ,
)
If you see a pointer ( or ) symbol on the right side of either an
input expression line or calculation result line, it means the displayed line
continues to the right. Use and to scroll the line left and right.
• When you see at the right end of a calculation result line, you can
jump to the end of the result by pressing . To jump to the beginning of
a calculation result line, press .
• Note that if you want to scroll the input expression while both the and
indicators are displayed, you will need to press or first and
then use and to scroll.
29
Parentheses Auto Complete
If you execute a calculation that includes both division and multiplication
operations in which a multiplication sign has been omitted, parentheses
will be inserted automatically as shown in the examples below.
- When a multiplication sign is omitted immediately before an open
parenthesis or after a closing parenthesis.
Example: 6 ÷ 2(1 + 2) → 6 ÷ (2(1 + 2))
- When a multiplication sign is omitted immediately before a variable, a
constant, etc.
Example: 6 ÷ 2π → 6 ÷ (2π)
Input Limit Indication
The cursor will change shape to
when there are 10 bytes or less of
allowed input remaining. If this happens, end calculation input and then
press .
Inputting an Expression Using
Natural Textbook Format (MathI/
MathO or MathI/DecimalO Only)
Expressions that include fractions and/or special functions such as √ can
be input in natural textbook format by using templates that appear when
certain keys are pressed, or when you input certain functions from the
CATALOG menu.
Example: 3
1
2
+ 5
3
2
1. Press ( ).
• This inputs a mixed number template.
2. Input values into the integer, numerator, and denominator areas of the
template.
3 1 2
30
3. Do the same to input the remainder of the expression.
( )5 3 2
Note
• While the input cursor is located within the input area of a template (mixed numbers),
pressing jumps to the position immediately following (to the right of) the
template, while pressing jumps to the position immediately before (to the left
of) it.
• You can always tell the current location of the cursor within a template because the
blank framed area or the characters where it is located will be dark black. Everything
else in the calculation expression will be dark gray
.
Undo Operations
T
o undo the last key operation, press
, select [Undo], and then press
.
T
o redo a key operation you have just undone, press
, select [Undo],
and then press again.
Using V
alues and Expressions as Arguments
Example: To input 1 +
7
6
and then change it to 1 +
1 7 6 (INS)
Pressing (INS) in the above example causes
7
6
to be the argument
of the function input by the next key operation (
√
).
Overwrite Input Mode (LineI/LineO or
LineI/DecimalO Only)
In the overwrite mode, text you input replaces the text at the current
cursor location. Y
ou can toggle between the insert and overwrite modes
by performing the operation:
(INS). The cursor appears as " " in the
insert mode and as " " in the overwrite mode.
31
Basic Calculations
Arithmetic Calculations
Use the , , , and keys to perform arithmetic calculations.
Example: 7 × 8 −
4 × 5 = 36
7
8 4 5
Fraction Calculations
Note that the input method for fractions depends on the current Input/
Output setting on the SETTINGS menu.
T
o input
7
3
(improper fraction)
(Input/Output: MathI/MathO or MathI/DecimalO)
7 3 or 7 3
7
3
(Input/Output: LineI/LineO or LineI/DecimalO)
7 3
(a) Numerator, (b) Denominator
To input 2
1
3
(mixed number)
(Input/Output: MathI/MathO or MathI/DecimalO)
( )2 1 3
2
1
3
(Input/Output: LineI/LineO or LineI/DecimalO)
32
2 1 3
(a) Numerator, (b) Denominator, (c) Integer Part
Example:
2
3
+ 1
1
2
=
13
6
(Input/Output: MathI/MathO)
2 3 ( )1 1 2
(Input/Output: LineI/LineO)
2 3 1 1 2
Note
• Fractions in calculation results are displayed after being reduced to their lowest terms.
T
o convert a calculation result format to improper fraction or mixed
number, press
( ). For more information, see "Improper Fraction
and Mixed Number Conversion"
(page 49).
Fraction Format Calculation Results
A calculation result whose total number of digits used in the mixed number
(including integer, numerator, denominator, and separator symbol
) is
greater than 10 cannot be displayed using fraction format. In this case, the
calculation result is displayed as a decimal value.
Example 1:
1
1 123456 = 123457 123456
(Input/Output: LineI/LineO)
1 1 123456
Since the total number of digits of the value 1 1 123456 is 10, the result
is displayed as a fraction value.
Example 2:
1
1 1234567 (= 1234568 1234567) = 1.00000081
33
(Input/Output: LineI/LineO)
1
1 1234567
Since the total number of digits of the value 1 1 1234567 is 11, the
result is displayed as a decimal value.
Note
• Mixing fractions and decimal values in a calculation while something other than MathI/
MathO is selected will cause the result to be displayed as a decimal value.
Powers, Power Roots, and
Reciprocals
Use the keys below to input power functions, power root functions, and
reciprocal function.
Power functions:
(square), (n
th
power)
Power root functions: (square root), ( ) (n
th
root)
Reciprocal function:
( )
Example 1: (5
2
)
3
= 15625
5 3
Example 2: (1 + 1)
2+2
= 16
1 1 2 2
Example 3: √2 × 3 = 3√2 = 4.242640687...
(Input/Output: MathI/MathO)
2 3
(Input/Output: LineI/LineO)
34
2 3
Example 4:
5
√32 = 2
(Input/Output: MathI/MathO)
( ) 5 32
(Input/Output: LineI/LineO)
5 ( ) 32
Example 5: 10
-1
=
1
10
(Input/Output: MathI/MathO)
10
( )
Key (Power of 10)
Use the key to calculate power of 10. Pressing inputs " " or
" " in accordance with the current – [Calc Settings] > [ Key]
setting.
• When " (Sci Notat)" is selected for [ Key] (initial default): Pressing
inputs the function . This function takes arguments before and
after it with the form a
n
(n is an integer) and returns the result of 10
n
multiplied by a.
• When " (Power)" is selected for [ Key]: Pressing produces
the same input result as pressing , which inputs " ".
T
o calculate
4 × 10
7
3 × 10
8
When " (Sci Notat)" is selected for [ Key] (initial default):
Example 1: (Input/Output: MathI/MathO)
35
4 7 3 8
Example 2: (Input/Output: LineI/LineO)
4 7 3 8
When " (Power)" is selected for [ Key]:
Example 3: (Input/Output: MathI/MathO)
4 7 3 8 *
1
Example 4: (Input/Output: LineI/LineO)
4 7 3 8 *
2
*
1
With these settings ( Key: (Power), Input/Output: MathI/MathO),
executing 4 × 10
7
÷ 3 × 10
8
causes the calculation to be performed
sequentially from left to right, which produces a dif
ferent calculation
result than the one in the above example (using fractions). To obtain
the same calculation result, each term needs to be enclosed in
parentheses: (4 × 10
7
) ÷ (3 × 10
8
).
*
2
With these settings (
Key: (Power), Input/Output: LineI/LineO),
executing 4×10^(7) 3×10^(8) (or 4×10^(7) ÷ 3×10^(8)) causes the
calculation to be performed sequentially from left to right, which
produces a dif
ferent calculation result than the example 3. To obtain the
same calculation result, each term needs to be enclosed in parentheses
as the example 4.
Note
• When "
(Sci Notat)" is selected for [ Key], parentheses will be inserted
automatically as shown in the example below (The same applies to Example 1 and
Example 2 above).
1 1 2
36
Note, however, that parentheses will not be inserted automatically if you input the
sexagesimal symbol ( ) immediately after .
1 2 ( )2 2 ( )
3 2 ( )
√ Form Calculation Range
The allowable display ranges of the
√
form calculation result are shown
below
.
± a√
b, ± d ± a√b, ±
a√b
c
±
d√e
f
1 ≤ a < 100, 1 < b < 1000, 1 ≤
c < 100
0 ≤ d < 100, 0 ≤ e < 1000, 1 ≤ f < 100
Example:
• 10√
2 + 15 × 3√3 = 45√3 + 10√2 ... Displayed in √ form
• 99√999 (= 297√111) = 3129.089165 ... Displayed as a decimal value
Pi, Natural Logarithm Base e
Pi
Input π by pressing (π).
π is displayed as 3.141592654, but π = 3.1415926535897932384626 is
used for internal calculations.
Natural Logarithm Base e
Input e by pressing
(e).
Natural Logarithm Base e is displayed as 2.718281828, but e =
2.7182818284590452353602 is used for internal calculations.
37
Calculation History and Replay
Calculation History
An and/or at the top of the screen indicates more calculation history
content above and/or below
. You can scroll through calculation history
contents using
and .
Calculation history can be used only in the Calculate app.
Example
2 + 2 = 4
2 2
3 + 3 = 6
3 3
(Scrolls back.)
Note
• Calculation history data is all cleared whenever you press or , when
you change the Input/Output setting, or whenever you perform a Reset operation
("Settings & Data" or "Initialize All").
Replay
While a calculation result is on the display
, you can press
, or to
edit the expression you used for the previous calculation.
Example
4 × 3 + 2 = 14
4 3 2
4 × 3 − 7 = 5
38
(Continuing) 7
Note
• If
(left) or (right) is displayed on either end or both ends of a calculation result
line, you can use and to scroll the line left and right. If this happens, press
or first, and then use and to edit the expression.
Using Memory Functions
Answer Memory (Ans)
The last calculation result obtained is stored in Ans (answer) memory
.
Using Ans Memory to Perform a Series of Calculations
Example: To divide the result of 3 × 4 by 30
3
4
(Continuing) 30
Inputting Ans Memory Contents into an Expression
Example:
To perform the calculations shown below:
123 456
(Continuing) 789
Variables (A, B, C, D, E, F, x, y, z)
Y
ou can store values to variables and use the variables in calculations.
39
Variable List Screen
Pressing displays a screen that shows the values currently stored to
variables A, B, C, D, E, F
, x, y, and z. On this screen, values are always
displayed using the "Norm 1" Number Format. To close the screen, press
or .
Example 1: To store the result of 3 + 5 to variable A
1. Execute the calculation.
3 5
2. Press , and then select [A=] > [Store].
• This stores the result of 3 + 5 (which is 8) to variable A.
3. Press .
Example 2: T
o change the contents of variable A to 1
1. Press
, and then highlight [A=].
2. Press .
• This displays the editing screen with 1 entered.
3. Press .
Note
• In place of the operation in step 2 above, you can press and then select [Edit].
This displays the editing screen with nothing input. Input the value you want and then
press .
• Depending on the operation you were performing immediately before pressing to
display the variable list screen, you cannot change the contents of a variable from
the variable list screen. In this case, a lock ( ) icon appears when you highlight a
40
variable on the variable list screen, indicating that the highlighted variable cannot be
edited.
For example, if you press while inputting data in the Statistics Editor of the
Statistics app (page 64), the icon appears on the right of the highlighted
variable, which means the variable cannot be edited.
On the Statistics Editor, press to stop inputting data and then press . The
icon disappears, and you will be able to edit the variable.
Example 3: T
o recall the contents of variable A
(Continuing from step 2 of Example 1)
1. Press
, and then select [A=] > [Recall].
• This inputs "A".
2. Press .
• This recalls the value of variable A.
Example 4: T
o multiply the contents of variable A by 10
(Continuing from step 2 of Example 1)
(A)* 10
* Input a variable as shown here: press and then press the key that
corresponds to the desired variable name. T
o input x as the variable
name, you can press
(x) or .
41
Clearing the Contents of All Memories
Ans memory and variable contents are retained even if you press ,
change the calculator app, or turn of
f the calculator.
Perform the procedure below when you want to clear the contents of all
memories.
1. Press
, select a calculator app icon, and then press .
2. Press , and then select [Reset] > [Variable Memory] > [Yes].
42
Changing Calculation Result
Format
T
oggling Calculation Results
between Standard (Fraction, π,
√
Form) and Decimal
Each press of while a calculation result is displayed toggles the result
between the following two forms:
- a form that includes fraction, π, or
√
(standard format)
- decimal form
Note
• Toggling calculation result display formats by pressing only is supported when
" Decimal" (initial default) is selected for the FORMAT Key setting on the
SETTINGS menu. If "Format Menu" is selected for the FORMA
T Key setting, press
( ).
• Conversion to standard format that includes √ or π is possible when MathI/MathO or
MathI/DecimalO is selected for the Input/Output setting on the SETTINGS menu.
Example: 2√
2 = 2.828427125 (Input/Output: MathI/MathO)
2 2
To obtain a decimal value calculation result while MathI/MathO
or LineI/LineO is selected
Press ( ) instead of after inputting a calculation.
43
Changing the Display Format of
Calculation Results (FORMA
T Menu)
Pressing
( )* displays the FORMAT menu, which you can use to
change the display format of calculation results.
* When " Decimal" (initial default) is selected for the FORMAT Key
setting on the SETTINGS menu. If "Format Menu" is selected for the
FORMA
T Key setting, press
.
FORMA
T Menu List
This menu item: Converts to this format:
(Standard)
Standard (Includes fraction, π,
√
formats.)
Decimal Decimal
Prime Factor Prime factorization
Recurring Decimal Recurring decimal
Improper Fraction Improper fraction
Mixed Number Mixed number
Standard Form a×10
n
Sexagesimal
Degree, minute, second
(Sexagesimal)
Note
• The menu items that appear when
( ) is pressed depend on the currently
displayed calculation result. Also, if a calculation result that cannot be converted is
displayed, the menu will not appear when you press ( ).
44
Conversion Sample Operation
Example: 3 ÷ 2 =
3
2
= 1.5 = 1
1
2
In this example, we will convert a calculation result displayed as an
improper fraction to a decimal value and then to a mixed number
. Finally,
we will cancel the conversion and go back to the original calculation result.
(Input/Output: MathI/MathO, Fraction Result: Improp Fraction)
1. Execute the calculation 3 ÷ 2.
3
2
2. To convert the calculation result to a decimal value, press ( ),
select [Decimal], and then press .
3. To convert the calculation result to a mixed number, press ( ),
select [Mixed Number], and then press .
4. To cancel conversion, press .
• This displays the original calculation result from step 1.
Standard and Decimal Conversion
Standard is a format that displays a calculation result in a form that
includes a fraction,
√
, or π when possible. Decimal is a format that
displays the calculation result as a decimal value.
Note
• Conversion to standard format that includes √
or π is possible when MathI/MathO or
MathI/DecimalO is selected for the Input/Output setting on the SETTINGS menu.
45
You can use the operation below to convert a calculation result to the
standard or decimal format.
Example: π ÷ 6 =
1
6
π = 0.5235987756 (Input/Output: MathI/MathO)
(π) 6
( )
(Select [Decimal].)
(Converts to a decimal value.)
( )
(Coverts to standard format.)
Important!
• With certain calculation results, selecting [
(Standard)] on the FORMAT menu will
not convert the displayed value.
T
o obtain a decimal value calculation result while MathI/MathO
or LineI/LineO is selected
Press
( ) instead of after inputting a calculation.
Prime Factorization
In the Calculate app, a positive integer no more than 10 digits long can be
factored to prime factors.
Example: To perform prime factorization on 1014
46
1014
( ) – [Prime Factor]
Note
• The types of values described below cannot be factored, even if they have 10 or fewer
digits.
- One of the prime factors of the value is 1,018,081 or greater
.
- Two or more of the prime factors of the value have more than three digits.
• The part that cannot be factored is enclosed in parentheses on the display.
Example: 2036162 = 2 × (1018081)*
*1018081 = 1009
2
2036162
( ) – [Prime Factor]
Recurring Decimal Conversion
(Recurring Decimal Calculations)
Y
our calculator lets you convert a calculation result to recurring decimal
format in the Calculate app when possible. It also makes it possible for you
to input a recurring decimal value and perform a calculation.
Converting a Calculation Result to a Recurring
Decimal Value
To convert a calculation result to a recurring decimal value, press
( ), and then select [Recurring Decimal] from the FORMAT menu that
appears. For the actual operation, see "Recurring Decimal Calculation
Example"
(page 48).
Inputting a Recurring Decimal
To input a recurring decimal value, use
( ) or the CATALOG menu
item shown below
.
– [Numeric Calc] > [Recurring Decimal]
For the actual operation, see "Recurring Decimal Calculation Example"
(page 48).
47
Important!
• If the value starts with an integer part (like: 12.3123123...), do not include the integer
part when inputting the period (12.312).
• Recurring decimal input is possible only when MathI/MathO or MathI/DecimalO is
selected for Input/Output on the SETTINGS menu.
Recurring Decimal Calculation Example
T
o calculate 3.
021 + 0.312 (Input/Output: MathI/MathO)
1. Use the following operation to input the calculation expression.
3 ( ) 021
0 ( ) 312
• This displays the calculation result as a fraction.
2. Press ( ), and then select [Recurring Decimal].
• This changes the result format to recurring decimal.
• To return the calculation result to a fraction, select ( ) – [
(Standard)].
Note
• Only a calculation result that satisfies the conditions below can be displayed as a
recurring decimal.
- The total number of digits used in the mixed number (including integer, numerator,
denominator, and separator symbol) must be no more than 10.
- The data size of the value when displayed as a recurring decimal must be no larger
than 99 bytes, calculated as: [number of digits (1 byte each)] + [1 byte for the
decimal point] + [3 bytes for recurring decimal management code]. For example, the
data size of 0.123 would be 4 bytes for digits, 1 byte for the decimal point, and 3
bytes for recurring decimal management code, for a total of 8 bytes.
48
Improper Fraction and Mixed
Number Conversion
Y
ou can convert the currently displayed fraction or decimal value (decimal
value that is convertible to a fraction by this calculator) calculation result to
a mixed number or an improper fraction.
Example 1:
13
4
= 3
1
4
(Input/Output: MathI/MathO, Fraction Result: Improp Fraction)
13 4
( ) – [Mixed Number]
( ) – [Improper Fraction]
Example 2: 3.25 =
13
4
= 3
1
4
(Input/Output: LineI/LineO)
3 25
( ) – [Improper Fraction]
( ) – [Mixed Number]
Standard Form (a×10
n
)
Y
ou can convert the currently displayed calculation result to a ×10
n
format.
Example: 123456 = 1.23456×10
5
123456
( ) – [Standard Form]
Sexagesimal Conversion (Degree,
Minute, Second Calculations)
Y
ou can convert a decimal value calculation result to a sexagesimal value.
Converting a Decimal Value Calculation Result to a
Sexagesimal Value
Example: 1.25 = 1°15’0”
49
1 25
( ) – [Sexagesimal]
Inputting and Calculating with a Sexagesimal
V
alue
In addition to converting a displayed value to a sexagesimal value, you
can also input sexagesimal values and use them in calculations.
The syntax below is for inputting a sexagesimal value:
{degrees}
( ) {minutes} ( ) {seconds} ( )
Note that you must always input something for the degrees and minutes,
even if they are zero.
Example: T
o perform the calculation 2°20’30” + 9’30”. Next, convert the
calculation result to a decimal value.
2
( )20 ( )30 ( )
0 ( )9 ( )30 ( )
(Convert to a decimal value.)
( ) – [Decimal]
(Return to sexagesimal display.)
( ) – [Sexagesimal]
50
Advanced Calculations
This section describes commands, functions, and symbols that are
common to all of the calculator apps. The order used here to present
commands, functions, and symbols is the same order in which they are
displayed on the CA
TALOG menu that appears when you press
.
Note
• There are also calculator app-specific CATALOG menu items, which are not shown
here. See the chapter for each calculator app for more information about app-specific
menu items.
• Depending on the calculator app you are using and the screen displayed by the
calculator app, you may not be able to input some commands, functions, or symbols.
Commands, functions, and symbols that cannot be input do not appear on the
CA
TALOG menu.
• Pressing
( ) displays a list of up to 15 commands, functions, and symbols
per a screen (CA
TALOG list) instead of the CATALOG menu. For more information,
see "CATALOG List" (page 27).
Function Analysis
This section explains commands and functions that you can input after
performing the operation:
– [Func Analysis].
Logarithm(logab), Logarithm(log)
Use – [Func Analysis] > [Logarithm(log)] to input log
a
b as log (a, b).
Base 10 is the initial default setting if you do not input anything for a.
Example 1: log
10
1000 = log 1000 = 3
– [Func Analysis] > [Logarithm(log)] 1000
Example 2: log
2
16 = 4
– [Func Analysis] > [Logarithm(log)] 2
(,)16
The key (or – [Func Analysis] > [Logarithm(logab)]) also can be
used for input, but only while MathI/MathO or MathI/DecimalO is selected
51
for Input/Output on the SETTINGS menu. In this case, you must input a
value for the base.
Example 3: log
2
16 = 4
2 16
Natural Logarithm
Use (ln) or – [Func Analysis] > [Natural Logarithm] to input "ln".
Example: ln 90 (= log
e
90) = 4.49980967
(ln)90
Probability
This section explains commands and functions that you can input after
performing the operation: – [Probability].
%
Inputting a value followed by % command causes the input value to
become a percent.
Example 1: 150 × 20% = 30
150 20
– [Probability] > [%]
Example 2: Calculate what percentage of 880 is 660. (75%)
660 880
– [Probability] > [%]
Example 3: Discount 3500 by 25%. (2625)
3500 3500 25
– [Probability] > [%]
52
Factorial(!)
This function obtains the factorials of a value that is zero or a positive
integer
.
Example: (5 + 3)! = 40320
5 3
– [Probability] > [Factorial(!)]
Permutation(P), Combination(C)
Permutation (nPr) and combination (nCr) functions.
Example: To determine the number of permutations and combinations
possible when selecting four people from a group of 10
Permutations:
10
– [Probability] > [Permutation(P)]
4
Combinations:
10
– [Probability] > [Combination(C)]
4
Random Number
This function generates a pseudo random number in the range of 0.000 to
0.999. The result is displayed as a fraction when MathI/MathO is selected
for Input/Output on the SETTINGS menu.
Example: T
o obtain random three-digit integers
1000
– [Probability] > [Random Number]
(The result differs with each execution.)
Random Integer
This function generates a pseudo random integer between a specified
start value and end value.
53
Example: T
o generate random integers in the range of 1 to 6
– [Probability] > [Random Integer]
1 (,)6
(The result differs with each execution.)
Numeric Calculations
This section explains commands and functions that you can input after
performing the operation: – [Numeric Calc].
GCD, LCM
GCD determines the greatest common divisor of two values, while LCM
determines the least common multiple.
Example 1: To determine the greatest common divisor of 28 and 35
– [Numeric Calc] > [GCD]
28 (,)35
Example 2: T
o determine the least common multiple of 9 and 15
– [Numeric Calc] > [LCM]
9 (,)15
Absolute Value
When you are performing a real number calculation, this function simply
obtains the absolute value.
Example: |2
− 7| = Abs(2 − 7) = 5
(Input/Output: MathI/MathO)
– [Numeric Calc] > [Absolute Value]
2 7
(Input/Output: LineI/LineO)
– [Numeric Calc] > [Absolute Value]
2 7
54
Recurring Decimal
Y
ou can use
( ) or the menu item below to input a recurring
decimal.
– [Numeric Calc] > [Recurring Decimal]
For details, see "Recurring Decimal Conversion (Recurring Decimal
Calculations)" (page 47).
Round Off
Using the Round Of
f function (Rnd) causes decimal fraction values of
the argument to be rounded in accordance with the current Number
Format setting. For example, the internal and displayed result of Rnd(10
÷ 3) is 3.333 when the Number Format setting is "Fix3:0.123". Using
the Norm1:1.23
or Norm2:0.00123 setting cause the argument to be
rounded of
f at the 11th digit of the mantissa part.
Example: To perform the following calculations when "Fix3:0.123" is
selected for the number of display digits: 10 ÷ 3 × 3 and Rnd(10 ÷ 3)
× 3
(Input/Output: MathI/DecimalO, Number Format: Fix3:0.123)
10
3 3
– [Numeric Calc] > [Round Off]
10 3 3
Angle Unit, Polar/Rectangular
Coordinate, Sexagesimal
This section explains commands, functions, and symbols that you can
input after performing the operation: – [Angle/Coord/Sexa].
Degrees, Radians, Gradians
These functions specify the angle unit.
° specifies degree,
r
radian, and
g
gradian.
Y
ou can input each function using the menu items below.
– [Angle/Coord/Sexa] > [Degrees]
– [Angle/Coord/Sexa] > [Radians]
– [Angle/Coord/Sexa] > [Gradians]
55
Example: π/2 radians = 90° (Angle Unit: Degree)
(π) 2
– [Angle/Coord/Sexa] > [Radians]
Rect to Polar, Polar to Rect
"Pol(" converts rectangular coordinates to polar coordinates, while "Rec("
converts polar coordinates to rectangular coordinates.
• Specify the Angle Unit on the SETTINGS menu before performing
calculations.
• The calculation result for r
and θ and for x and y are each stored
respectively to variables x and y.
• Calculation result θ is displayed in the range of -180° < θ ≤ 180°.
Note
• Pol( and Rec( can be used on the calculation screen of the calculator apps below.•
Calculate, Statistics
Example 1: T
o convert rectangular coordinates (√
2, √2) to polar
coordinates (Input/Output: MathI/MathO, Angle Unit: Degree)
– [Angle/Coord/Sexa] > [Rect to Polar]
2 (,) 2
Example 2: T
o convert polar coordinates (√
2, 45°) to rectangular
coordinates (Input/Output: MathI/MathO, Angle Unit: Degree)
– [Angle/Coord/Sexa] > [Polar to Rect]
2 (,) 45
Degrees, Minutes, Seconds
Y
ou can use the keys or the menu item below to input the sexagesimal
symbol (
).
56
( )
– [Angle/Coord/Sexa] > [Degs Mins Secs]
For details, see "Sexagesimal Conversion (Degree, Minute, Second
Calculations)" (page 49).
Hyperbolic, T
rigonometric
This section explains hyperbolic and trigonometric functions.
Hyperbolic Functions
Hyperbolic functions can be input using the menu items below.
– [Hyperbolic/Trig] > [sinh], [cosh], [tanh], [sinh
-1
], [cosh
-1
], or [tanh
-1
]
The angle unit setting does not af
fect calculations.
Example: sinh 1 = 1.175201194
– [Hyperbolic/Trig] > [sinh] 1
Trigonometric Functions
T
rigonometric functions can be input using the keys or menu items below.
Key Menu Item
– [Hyperbolic/Trig] > [sin]
– [Hyperbolic/Trig] > [cos]
– [Hyperbolic/Trig] > [tan]
(sin
-1
) – [Hyperbolic/Trig] > [sin
-1
]
(cos
-1
) – [Hyperbolic/Trig] > [cos
-1
]
(tan
-1
) – [Hyperbolic/Trig] > [tan
-1
]
Specify the Angle Unit on the SETTINGS menu before performing
calculations.
Example: sin 30 =
1
2
(Angle Unit: Degree)
57
*
1
*
2
*
3
30
Others
Functions and symbols that can be input with the calculator keys can also
be input using the [Other] menu. Use – [Other] to display the function
and symbol menu. For example, to input Ans, you could either press or
perform the following operation: – [Other] > [Ans].
The table below shows the [Other] menu item that corresponds to each
key operation.
Menu Item Key
Ans
π
(π)
e
(e)
√ (
x
√
( ( )
-1
( )
2
^(
- ((-))
, (,)
(
)
*
1
Reciprocal
*
2
Square
*
3
Minus sign
58
Registering and Using Defining
Equations for f(x) and g(x)
Registering and Using Defining
Equations for f(x) and g(x)
Y
our calculator includes "f(" and "g(" functions that you can use after
registering defining equations for them. For example, after registering f(x)
= x
2
+ 1 as a defining equation for the "f(" function, you can calculate f(0) =
1 and f(5) = 26.
Pressing
displays a menu for registering the defining equation of f(x) or
g(x), and for inputting "f(" or "g(".
Note
• The defining equations of f(x) and g(x) are also used by f(x) and g(x) in the T
able app.
For information about the Table app, see "Creating a Number Table" (page 80).
Registering a Defining Equation
Example 1: To register f(x) = x
2
+ 1
1. Press
, select the Calculate app icon, and then press .
2. Press , and then select [Define f(x)].
• This displays the f(x) equation registration screen.
3. Input x
2
+ 1.
1
4. Press .
• This registers the expression you input, and the screen that was
shown before you pressed in step 2 of this procedure re-appears.
Note
• A defining equation can be registered from any calculator app except Ratio and Math
Box. However
, depending on the screen displayed by the calculator app (for example,
if a menu screen is displayed), the menu may not appear when you press
.
59
Performing a Calculation by Assigning a Value to
the Registered Defining Equation
Example 2: T
o assign the value x = 3 to f(x), which you registered in
Example 1
(Continuing from Example 1)
1. Press
, and then select [f(x)].
• This inputs "f(".
2. Assign a value of 3 and then execute the calculation.
3
Registering a Composite Function
Example 3: T
o insert f(x) defined in Example 1 into g(x) in order to register
g(x) = f(x) × 2 − x
(Continuing from Example 1)
1. Press
, and then select [Define g(x)].
• This displays the g(x) equation registration screen.
2. Input f(x) × 2 − x.
* 2
* Pressing while the g(x) equation registration screen is displayed,
the only menu item that appears is [f(x)]. In the same way
, pressing
while the f(x) equation registration screen is displayed, the only menu
item that appears is [g(x)].
3. Press
.
• This registers the equation you input and returns to the screen
displayed before you started this operation with step 1.
Note
• The operation for assigning a value to x
of g(x) and calculating the result is the same
as that under "Performing a Calculation by Assigning a Value to the Registered
Defining Equation" (page 60). However, note that instead of selecting [f(x)] in step 1,
you should select [g(x)].
• In the operation of Example 3, you input f(x) into the defining equation of g(x).
Conversely
, you can also input g(x) into the f(x) defining equation. However, do not
60
have g(x) input into f(x), and f(x) input into g(x) at the same time. If you do, a Circular
ERROR will occur when you perform a calculation using f(x) or g(x).
Data Retention
Performing any one of the operations below causes the defining equations
registered to f(x) and g(x) to be deleted.
• Pressing
• Using the SETTINGS menu to switch the Input/Output setting
between MathI*
1
and LineI*
2
.
*
1
MathI/MathO or MathI/DecimalO
*
2
LineI/LineO or LineI/DecimalO
• Executing – [Reset] > [Settings & Data] or – [Reset] > [Initialize
All]
61
Using QR Code Functions
Using QR Code Functions
Y
our calculator can display QR Code symbols that can be read by a smart
device.
Important!
• The operations in this section assume that the smart device being used has a QR
Code reader that can read multiple QR Code symbols, and it can connect to the
Internet.
• Scanning a QR Code displayed by this calculator with a smart device will cause the
smart device to access the CASIO website.
Note
• QR Code appears on the display whenever you press
(QR) while any one of
the screens below is displayed.
- HOME screen
- SETTINGS menu screen
- Error screens
- Calculation result screens in any calculator app
- T
able screens in any calculator app
For details, visit the CASIO website (https://wes.casio.com).
Displaying a QR Code
Example: To display the QR Code for a calculation result in the
calculator’s Calculate app and scan it with a smart device
1. In the Calculate app, perform some calculation.
2. Press
(QR) to display the QR Code.
• The numbers in the lower right corner of the display show the current
QR Code number and the total number of QR Code symbols. T
o
display the next QR Code, press
or .
Note
• To return to a previous QR Code, press
or as many times as required to
scroll forward until it appears.
3. Use a smart device to scan the QR Code on the calculator display
.
• For information about how to scan a QR Code, refer to the user
documentation of the QR Code reader you are using.
62
If You Experience Difficulty Scanning a QR Code
While the QR Code is displayed, use and to adjust the display
contrast of the QR Code. This contrast adjustment af
fects QR Code
displays only.
Important!
• Depending on the smart device and/or QR Code reader app being used, you may
experience problems scanning the QR Code symbols produced by this calculator
.
• When the "QR Code" setting on the SETTINGS menu is "Version 3", the calculator
apps that can display QR Code symbols are limited. If you try to display a QR Code in
an app that does not support QR Code display, the message "Not Supported (Version
3)" will appear. However, the QR Code produced by this setting is easier to scan with a
smart device.
• For more information, visit the CASIO website (https://wes.casio.com).
63
Using Calculator Apps
Statistical Calculations
The Statistics app calculates various statistical values based on single-
variable (x) or paired-variable (x, y) data.
General Procedure for Performing a Statistical
Calculation
1. Press , select the Statistics app icon, and then press .
2. On the menu that appears, select [1-Variable] (single-variable) or [2-
Variable] (paired-variable), and then press .
• This displays the Statistics Editor.
Single-variable
Paired-variable
• You can use the Freq column to specify the frequency of each sample
value. For details, see "Freq (Frequency) Column"
(page 65).
3. Input data.
• For details, see "Inputting Data with Statistics Editor" (page 65).
4. After you finish inputting data, press
.
• This causes the menu below to appear.
Single-variable
64
Paired-variable
5. Select the menu item for the operation you want to perform.
• Select [1-Var Results], [2-Var Results], or [Reg Results] to see a list
of calculation results based on the data you entered. For details, see
"Displaying Statistical Calculation Results"
(page 68).
• To display a statistical calculation screen for performing calculations
based on the input data, select [Statistics Calc]. For details, see
"Using Statistical Calculation Screen" (page 72).
Note
• To return to the Statistics Editor from a statistical calculation screen, press
and
then .
Inputting Data with Statistics Editor
Statistics Editor displays one, two, or three columns: single-variable
(x), single-variable and frequency (x, Freq), paired-variable (x, y), paired-
variable and frequency (x, y, Freq). The number of data rows that can be
input depends on the number of columns: 160 rows for one column, 80
rows for two columns, 53 rows for three columns.
Important!
• All data currently input in the Statistics Editor is deleted whenever you perform any of
the operations below
.
- Switching the statistical calculation type between single-variable and paired-variable
- Changing the Frequency setting on the TOOLS menu
• Statistical calculations can take considerable time when there are a large number of
data items.
Freq (Frequency) Column
When the Frequency setting on the TOOLS menu is turned on, a column
labeled "Freq" will be included on the Statistics Editor. You can use the
Freq column to specify the frequency (the number of times the same
sample appears in the data group) of each sample value.
65
Single-variable
Paired-variable
T
o hide the Freq column
1. While the Statistics Editor is displayed, press
and then select
[Frequency] > [Of
f].
2. Press
to return to the Statistics Editor.
T
o display the Freq column
1. While the Statistics Editor is displayed, press
and then select
[Frequency] > [On].
2. Press to return to the Statistics Editor.
Rules for Inputting Sample Data on the Statistics Editor
Data you input is inserted into the cell where the cursor is located. Use the
cursor keys to move the cursor between cells.
Cursor
After inputting a value, press . This registers the value and displays up
to six of its digits in the cell.
Example 1: T
o select paired-variable and input the following data: (170,
66), (179, 75), (173, 68)
1. Press
, select the Statistics app icon, and then press .
2. Select [2-V
ariable], and then press
.
66
3. Use the operation below to input data.
170 179 173
66 75 68
Note
• On the Statistics Editor, you can store the value in a cell to a variable. For example,
performing the following operation while the screen in step 3 is displayed above
will store 68 to variable A: – [A=] > [Store]. For details about variables, see
"V
ariables (A, B, C, D, E, F, x, y, z)" (page 39).
Editing Sample Data
To replace the data in a cell
On the Statistics Editor, move the cursor to the cell containing the data you
want to edit, input the new data, and then press
.
To delete a row
On the Statistics Editor, move the cursor to the row you want to delete and
then press .
T
o insert a row
1. On the Statistics Editor, move the cursor to the row that will be under
the row you will insert.
2. Perform the following operation:
– [Edit] > [Insert Row].
T
o delete all Statistics Editor contents
On the Statistics Editor, perform the following operation:
– [Edit] >
[Delete All].
Sorting Data
Y
ou can sort Statistics Editor data in ascending or descending order on its
x, y, or Freq-column values.
Important!
• Note that after you change the data sort sequence, you will not be able to return it to
its original sequence.
67
Example 2: T
o sort the data input in Example 1 (page 66) in ascending
order on the x column, and then in descending order on the y column
1. Use the procedure in Example 1 to input the data.
2. Sort the data in ascending order on the x column.
– [Sort] > [x Ascending]
3. Sort the data in descending order on the y column.
– [Sort] > [y Descending]
Displaying Statistical Calculation Results
Displaying Single-V
ariable Statistical Calculation Results
The 1-Var Results screen shows a list of various statistical values (such
as mean and population standard deviation) calculated based on single-
variable data. This section describes the operation required to display the
1-Var Results screen.
Example 3: To input the data below and display single-variable statistical
calculation results
x
1 2 3 4 5 6 7 8 9 10
Freq 1 2 1 2 2 2 3 4 2 1
1. Press
, select the Statistics app icon, and then press .
2. Select [1-V
ariable], and then press
.
• This displays the Statistics Editor.
3. Input data into the x-column.
1
2 3 4 5 6 7 8 9 10
4. Input data into the Freq column.
68
2 2 2 2 3 4 2
5. Press .
6. Select [1-Var Results], and then press .
• This displays the 1-Var Results screen.
(or )
(or )
• For the meanings of the variables shown on the 1-Var Results
screen, see the "List of Statistical V
alue Variables and Statistical
Calculation Functions" (page 75).
7. Press
or to return to the Statistics Editor.
Displaying Paired-Variable Statistical Calculation Results
The 2-Var Results screen shows a list of various statistical values (such
as mean and population standard deviation) calculated based on paired-
variable data. This section describes the operation required to display the
2-Var Results screen.
Example 4: To input the data below and display paired-variable statistical
calculation results
x
1.0 1.2 1.5 1.6 1.9 2.1 2.4 2.5 2.7 3.0
y
1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 2.0
1. Press , select the Statistics app icon, and then press .
2. Select [2-Variable], and then press .
• This displays the Statistics Editor.
3. Press and then select [Frequency] > [Off].
69
• Press to return to the Statistics Editor.
4. Input data into the x-column.
1 1 2 1 5 1 6 1 9
2 1 2 4 2 5 2 7 3
5. Input data into the y-column.
1 1 1 1 2 1 3 1 4
1 5 1 6 1 7 1 8 2
6. Press .
7. Select [2-Var Results], and then press .
• This displays the 2-Var Results screen.
(or )
(or )
(or )
• For the meanings of the variables shown on the 2-Var Results
screen, see the "List of Statistical Value Variables and Statistical
Calculation Functions" (page 75).
8. Press or to return to the Statistics Editor.
Displaying Regression Calculation Results
The Reg Results screen displays a list of regression calculation results
(coef
ficients of regression equations) based on paired-variable data. This
70
section describes the operation required to display the Reg Results
screen.
Example 5: T
o use the paired-variable data input in Example 4 (page 69)
and display the results of the two regression calculations shown below
• The regression equation "y = a + bx" coefficients (a, b), and the
correlation coefficient (r) when linear regression is performed on the
data
• The regression equation "y = a + bx + cx
2
" coefficients (a, b, c) when
quadratic regression is performed on the data
Note
• For information about regression calculation types supported by the Statistics app, see
the "Supported Regression T
ype List" (page 72).
1. Perform steps 1 through 6 of the procedure under Example 4 (page
69).
2. Select [Reg Results], and then press
.
• This displays the regression type menu.
3. Select [y=a+bx], and then press .
• This displays the linear regression Reg Results screen.
4. Press or to return to the Statistics Editor.
5. Press , and then select [Reg Results] > [y=a+bx+cx
2
].
• This displays quadratic regression Reg Results screen.
6. Press or to return to the Statistics Editor.
• For the meanings of the variables shown on the Reg Results
screen, see the "List of Statistical V
alue Variables and Statistical
Calculation Functions" (page 75).
71
Supported Regression Type List
Regression Type
Regression Equation
(regression type menu item)
Linear Regression
y = a + bx
Quadratic Regression
y = a + bx + cx
2
Logarithmic Regression
y = a + b･ln(x)
e exponential Regression y = a･e^(bx)
ab exponential Regression y = a･b^x
Power Regression
y = a･x^b
Inverse Regression
y = a + b/x
Using Statistical Calculation Screen
Y
ou can use the statistical calculation screen to recall individual statistical
values and use the values in calculations.
Screen without calculation expression input
Example calculation
T
o recall a statistical value, use a variable representing the statistical
value you want to recall (for example, x mean:
x, x
population standard
deviation: σ
x
, x maximum value: max(x), and so on). For more information
about these variables, see the "List of Statistical V
alue Variables and
Statistical Calculation Functions" (page 75).
72
Displaying a Statistical Calculation Screen
Single-variable
1. While the Statistics Editor is displayed, press .
2. On the menu that appears, select [Statistics Calc] and then press .
Paired-variable
1. While the Statistics Editor is displayed, press .
2. On the menu that appears, select [Statistics Calc] and then press .
• This displays the regression type menu (see the "Supported
Regression Type List" (page 72)).
3. On the menu, select the regression type you want and then press .
• In the example above, use the displayed menu to select [y=a+bx]
(Linear regression).
T
o return to the Statistics Editor from a statistical calculation screen
Press
, and then .
Calculation Example Using the Statistical Calculation Screen
Example 6: T
o determine the sum of the sample data (Σx) and mean (
x) of
the single-variable data input in Example 3 (page 68)
1. Perform steps 1 through 5 of the procedure under Example 3 (page
68).
2. Select [Statistics Calc], and then press .
3. Calculate the sum of the sample data (Σx).
73
– [Statistics] > [Summation] > [Σx]
4. Calculate the mean (x).
– [Statistics] >
[Mean/V
ar/Dev
...
] > [
x]
Note
• To display the 1-Var Results screen from the statistical calculation screen above, press
and then select [1-Var Results]. To return to the statistical calculation screen from
the 1-V
ar Results screen, press
or .
Example 7: T
o determine the coefficients (a, b) and correlation coefficient
(r) of the linear regression equation "y = a + bx" based on the paired-
variable data input in Example 4 (page 69)
1. Perform steps 1 through 6 of the procedure under Example 4 (page
69).
2. Select [Statistics Calc], and then press
.
• This displays the regression type menu.
3. Select [y=a+bx], and then press .
4. Determine the coefficients (a, b) and correlation coef
ficient (r) of the
regression equation "y = a + bx".
– [Statistics] > [Regression] > [a]
– [Statistics] > [Regression] > [b]
74
– [Statistics] > [Regression] > [r]
• To select a different regression type, press and then select [Select
Reg Type]. This displays the regression type menu from step 2.
To display the 2-Var Results screen from a statistical calculation
screen
Press and then select [2-Var Results].
T
o display the Reg Results screen from a statistical calculation
screen
Press
and then select [Reg Results].
List of Statistical V
alue Variables and Statistical Calculation
Functions
You can use the CATALOG menu to recall variables representing
statistical values and functions used for statistical calculations.
Note
• For single-variable statistical calculations, the variables marked with an asterisk (*) are
available.
• For the calculation formula used for each variable and command, see "Statistical
Calculation Formula"
(page 77).
– [Statistics] > [Summation]
Σx*, Σy ...... sum of the sample data
Σx
2
*, Σy
2
...... sum of squares of the sample data
Σxy
...... sum of products of the x-data and y-data
Σx
3
...... sum of cubes of the x-data
Σx
2
y ...... sum of (x-data squares × y-data)
Σx
4
...... sum of biquadrate of the x-data
– [Statistics] > [Mean/Var/Dev
...
]
x*, y ...... mean
σ
2
x
*, σ
2
y
...... population variance
σ
x
*, σ
y
...... population standard deviation
s
2
x
*, s
2
y
...... sample variance
s
x
*, s
y
...... sample standard deviation
n* ...... number of items
– [Statistics] > [Min/Max/Quartile] (Single-V
ariable Data Only)
75
min(x)* ...... minimum value
Q
1
* ...... first quartile
Med* ...... median
Q
3
* ...... third quartile
max(x)* ...... maximum value
– [Statistics] > [Min/Max] (Paired-V
ariable Data Only)
min(x), min(y) ...... minimum value
max(x), max(y) ...... maximum value
– [Statistics] > [Regression] (Paired-V
ariable Data Only)
For quadratic regression
a, b, c ...... regression coefficients for quadratic regression
xˆ
1
, xˆ
2
...... Functions for determining x
1
and x
2
estimated values for an
input y-value. For the argument, input the value of y immediately before
the xˆ
1
or xˆ
2
function.
yˆ ...... Function for determining the y estimated value for an input x-
value. For the argument, input the value of x immediately before this
function.
For non-quadratic regression
a, b ...... regression coef
ficients
r ...... correlation coefficient
xˆ ...... Function for determining x estimated value for an input y-value.
For the argument, input the value of y immediately before this function.
yˆ ...... Function for determining the y estimated value for an input x-
value. For the argument, input the value of x immediately before this
function.
For an example of the operation to determine estimated values, see
"Calculating Estimated V
alues (Paired-Variable Data Only)" (page
76).
Calculating Estimated Values (Paired-Variable Data Only)
Based on the regression equation obtained by paired-variable statistical
calculation, the estimated value of y can be calculated for a given x-value.
The corresponding x-value (two values, x
1
and x
2
, in the case of quadratic
regression) also can be calculated for a value of y in the regression
equation.
Example 8: T
o determine the estimated value for y when x = 5.5 in the
regression equation produced by linear regression of the data input in
Example 4 (page 69)
76
1. Perform steps 1 through 6 of the procedure under Example 4 (page
69).
2. Select [Statistics Calc], and then press .
• This displays the regression type menu.
3. Select [y=a+bx], and then press .
4. Input the x-value (5.5), and then input "y
ˆ
", which is the function to
determine the estimated value of y.
5 5
– [Statistics] > [Regression] > [yˆ]
5. Press .
Statistical Calculation Formula
Single-V
ariable Statistical Calculation Formula
Paired-Variable Statistical Calculation Formula
77
Regression Calculation Formula
Linear Regression (y = a + bx)
Quadratic Regression (y = a + bx + cx
2
)
Logarithmic Regression (y = a + b･ln(x))
78
e Exponential Regression (y = a･e^(bx))
ab Exponential Regression (y
= a･b^x)
Power Regression (y = a･x^b)
Inverse Regression (y = a + b/x)
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Creating a Number Table
You can use the Table app to create a number table based on the defining
equations registered for functions f(x) and g(x).
General Procedure for Creating a Number Table
Example : To generate a number table for the function f(x) = x
2
+
1
2
for
the range -1 ≤ x
≤ 1, incremented in steps of 0.5
1. Press
, select the Table app icon, and then press .
• This displays the number table screen.
• If a defining equation is not registered for either or both of f(x) and
g(x) and the data at the cursor selection position is empty
, a message
will appear at the bottom of the screen indicating that the defining
equation is not registered.
2. Configure settings to generate a number table from the function.
(1) Press , and then select [Table Type] > [f(x)].
(2) Press .
• For information about settings, see "Maximum Number of Rows in a
Number T
able According to Table Type" (page 81).
3. Register a defining equation for f(x).
– [Define f(x)/g(x)] > [Define f(x)]
1 2
80
(Screen immediately before you pressed )
• You can also use to register a defining expression. For more
information, see "Defining Equation Registration"
(page 82).
4. Configure the number table range setting.
– [Table Range]
((-))1 1 0 5
5. Press .
• This displays the result in the number table screen.
• The number table generation operation causes the contents of
variable x
to be changed to the end value you input in step 4 above.
Note
• On the number table screen, you can store the value in a cell to a variable. For
example, performing the following operation while the screen in step 6 is displayed
above will store -1 to variable A:
– [A=] > [Store]. For details about variables, see
"Variables (A, B, C, D, E, F, x, y, z)" (page 39).
Maximum Number of Rows in a Number Table
According to Table Type
You can configure number table screen settings to show columns for both
f(x) and g(x), or for either one of them. To set it, use the menu that
appears when you press
– [Table Type] while the number table screen
is displayed.
f(x)/g(x) ... Show both f(x)- and g(x)-columns
f(x) ... Show only f(x)-column (initial default setting)
g(x) ... Show only g(x)-column
The maximum number of rows in the generated number table depends on
the T
able Type setting. Up to 45 rows are supported for the "f(x)" or "g(x)"
setting, while 30 rows are supported for the "f(x)/g(x)" setting.
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Defining Equation Registration
There are two ways to register defining equations for f(x) and g(x).
• While the Table app number table screen is displayed, registering an
equation by pressing
– [Define f(x)/g(x)] > [Define f(x)]
– [Define f(x)/g(x)] > [Define g(x)]
• While the Table app number table screen is displayed, or while using
any calculator app except Ratio and Math Box, registering an equation
by pressing
– [Define f(x)]
– [Define g(x)]
The same f(x) or g(x) equation registration screen appears regardless of
which of the two above operations is used to register defining equations.
Note
• For details about operations using , see "Registering and Using Defining
Equations for f(x) and g(x)" (page 59).
Editing Number T
able Screen Data
To delete a row
1. On the number table screen, move the cursor to the row you want to
delete.
2. Press
.
T
o insert a row
1. On the number table screen, move the cursor to the row that will be
under the row you will insert.
2. Perform the following operation:
– [Edit] > [Insert Row].
T
o delete all number table screen contents
On the number table screen, perform the following operation:
– [Edit] >
[Delete All].
T
o change the value input in a cell in column x
You can change the value in the currently highlighted x cell. Changing the
x value causes the f(x) and g(x) values in the same row to be updated
accordingly.
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To enter a value into the highlighted x-column cell using:
{value of the cell above} +/− {step value}
If there is value in the x cell above the currently highlighted x cell, pressing
or automatically inputs into the highlighted cell the value equal to
the value of the cell above it plus the step value. So also, pressing
automatically inputs the value equal to the value of the cell above less
the step value. The f(x) and g(x) values in the same row are also updated
accordingly.
f(x) and g(x) Update Timing
f(x) and g(x) values displayed on the number table screen are updated
when any of the following occurs.
• When is pressed while [Execute] is selected on the Table Range
screen.
• When the defining equations for f(x) and g(x) are updated (except when
a defining equation is a composite function).
• When a number is input into column x (including pressing , , in
column x).
Note, however
, that values are not updated automatically after the
following operations.
• When the SETTINGS menu is used to change the Angle Unit setting.
• When the variable of a defining equation is updated (new numeric value
stored) when a defining equation that contains a variable (example: f(x)
= 2x + A) is registered.
• When the defining equation of a composite function (Example: g(x) = f(x)
× 2 − x) is registered, and the defining equation of the reference function
(Example: f(x) of g(x) = f(x) × 2
− x) is updated (new defining equation
registered).
In these cases, execute
– [Recalculate] while the number table screen
is displayed to update values.
Data Retention
Doing the following will discard some data and clear some settings of the
T
able app.
① Returning to the HOME screen and launching another calculator
app.
② Pressing
.
③ Changing the Input/Output setting with the SETTINGS menu.
④ Changing the T
able Type setting with the TOOLS menu.
The table below shows which data is discarded and which data is retained.
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Operation
Data, Setting
① ② ③ ④
Number table data
(x-, f(x)-, g(x)-columns)
Discarded Discarded Discarded Discarded
Table Range settings Discarded Retained Retained Retained
Table Type settings Retained Retained Retained --
f(x), g(x) defining
equations
Retained Discarded Discarded Retained
Ratio Calculations
The Ratio app lets you determine the value of X in the ratio expression A :
B = X : D (or A : B = C : X) when the values of A, B, C and D are known.
General Procedure for Performing a Ratio
Calculation
Example 1: T
o solve 3 : 8 = X : 12 for X
1. Press
, select the Ratio app icon, and then press .
2. On the menu that appears, select [A:B=X:D] or [A:B=C:X].
• Here we want to solve 3 : 8 = X : 12 for X, select [A:B=X:D], and then
press .
3. On the Coef
ficient Editor that appears, input coefficient values.
• Here we input the following for the coefficients: A = 3, B = 8, D = 12.
3
8 12
4. After all the values are the way you want, press .
• This displays the solution (value of X).
• Press , , or to return to the Coefficient Editor.
Note
• A Math ERROR will occur if you perform a calculation while 0 is input for a coefficient.
• Performing the steps below resets all Coefficient Editor coefficients to 1.
- While the Coef
ficient Editor is displayed, press
, , , or .
- While a solution is displayed, press or .
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• You can store the currently displayed calculation result to a variable. For example,
performing the following operation while the screen in step 4 is displayed above
will store the calculation result to variable A: – [A=] > [Store]. For details about
variables, see "V
ariables (A, B, C, D, E, F, x, y, z)" (page 39).
To change the ratio expression type
1. While the Coefficient Editor is displayed, press
.
2. On the menu that appears, select the ratio expression type you want.
Calculation Example
Example 2: T
o calculate X in the ratio 1 : 2 = X : 10
– [Ratio] > [A:B=X:D]
1 2 10
Using Math Box
The Math Box app has the following learning support functions.
Dice Roll: Dice Roll is function that simulates dice probability
.
Coin Toss: Coin Toss is a function that simulates coin toss probability.
Number Line: Number Line registers up to three equations or inequalities
and displays their number lines.
Circle: Circle uses a Unit Circle or Half Circle graphic to display angle and
trigonometric values. You can also use a Clock graphic to display angles.
Dice Roll
Dice Roll performs a simulation of one, two, or three virtual dice rolls a
specified number of times. You can select either of the following screens
for the result.
List screen
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Relative Freq screen
Dice Roll General Operation Procedure
Example: T
o simulate 100 rolls of two dice. For this example, the
Relative Freq screen is used for simulation results, showing the number
of occurrences (frequencies) and relative frequencies of the numeric
difference (0, 1, 2, 3, 4, 5) between the two dice each roll.
1. Press
, select the Math Box app icon, and then press .
• This displays the Math Box menu.
2. Select [Dice Roll], and then press .
• This displays the parameter input screen.
Dice: Select the number of dice as 1, 2, or 3.
Attempts: Input the number of dice rolls (number of trials) as a value
from 1 to 250.
Same Result: This setting is normally Of
f (initial default setting). For
details, see "Same Result Setting" (page 89).
3. Select each of the menu settings and configure them the way you want.
(1) Select [Dice] and then press
. On the menu that appears, select [2
Dice] and then press .
(2) Select [Attempts] and then press . On the input screen that
appears, input 100 and then press . Select [Confirm] and then
press .
(3) Leave the [Same Result] set to Of
f (initial default setting).
4. After all of the settings are the way you want, select [Execute] and then
press
.
• The screen showing execution of the simulation will appear, and then
the screen will change to the Result T
ype menu.
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List: Shows a list of the outcome of each roll (trial).*
1
Relative Freq: Shows the number of occurrences based on roll results*
2
and their relative frequencies.
*
1
When there are two dice, the outcome of each roll is displayed along
with each roll’s sum and difference. When there are three dice, the
outcome of each roll is displayed along with the sum of the roll.
*
2
Outcome (1 through 6) in the case of one die, sum (2 through 12) or
dif
ference (0 through 5) of the outcomes in the case of two dice, and
sum (3 through 18) of the outcomes in the case of three dice.
5. Use the Result Type menu to select a result display format.
(1) Here, we want to display the number of occurrences and relative
frequencies, so select [Relative Freq] and then press
.
• This displays the [Sum] or [Difference] selection menu.
(2) Here, we want to display the dif
ference in the outcome of each roll,
so select [Difference] and then press
.
• The simulation result is displayed on the Relative Freq screen.
(The result differs with each execution.)
• For details about the simulation result screen, see "Dice Roll
Result Screen"
(page 88).
6. To display results using a different format, display the result screen and
then press
.
• This returns to the Result Type menu, so you can repeat step 5 of this
procedure and change the result display format.
7. If you want to perform a simulation with dif
ferent settings, press
while the Result Type menu is displayed.
• This clears the simulation result and returns to the parameter input
screen. Perform the procedure again from step 3.
8. T
o exit Dice Roll, press
while the parameter input screen is
displayed.
• This returns to the Math Box menu.
Note
• On the Relative Freq screen, you can store the value in a Rel Fr column cell to a
variable. For example, performing the following operation in step 5, above, will store
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the value in the first row of the "Rel Fr" column to variable A: – [A=] > [Store]. For
details about variables, see "V
ariables (A, B, C, D, E, F, x, y, z)" (page 39).
Dice Roll Result Screen
• List screen
(1) Each row shows a sequential roll number. For example, 1 is the first
roll, 2 is the second roll, and so on.
(2) A, B, and C indicate each of the die being used. "Sum" is for the
outcome total, and "Dif
f" is for the difference between the outcomes
of two dice. The columns that appear on the display depend on how
many dice are being used.
1 die: A-column only.
2 dice: A, B, Sum, and Diff columns.
3 dice: A, B, C, and Sum columns.
• Relative Freq screen
(1) Sum or Diff: Shows the one die outcome (Sum: 1 through 6), two
dice outcome sum (Sum: 2 through 12) or dif
ference (Diff: 0 through
5), or three dice outcome sum (Sum: 3 through 18).
(2) Freq: Shows the number of occurrences (frequency) of each roll
outcome.
(3) Rel Fr: Shows the relative frequency (frequency divided by number
of rolls) of roll results.
(4) Number of trials
(5) Highlighted Rel Fr cell’s value
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Same Result Setting
When executing a Dice Roll or Coin Toss simulation with Same Result at
its initial default setting (Off), each execution displays a different (random)
result. If the Same Result setting is changed to something other than Off,
the displayed results are those determined by the calculator. Using the #1,
#2, or #3 setting is useful when you want the same result to be displayed
by all the calculators being used by the students in a class.
Note
• To have multiple calculators display the same result, make sure that the settings below
are identical on all of the calculators.
- Number of dice or coins
- Number of trials (rolls or tosses)
- Same Result setting (#1, #2, or #3)
Coin T
oss
Coin Toss performs a simulation of one, two, or three virtual coin tosses a
specified number of times. You can select either of the following screens
for the result.
List screen
Relative Freq screen
The screen shows heads as and tails as .
Coin T
oss General Operation Procedure
Example: To simulate 100 tosses of three coins. For this example, the
Relative Freq screen is used for simulation results, showing the number of
heads (0, 1, 2, 3) and the relative frequencies of heads of each toss.
1. Press
, select the Math Box app icon, and then press .
• This displays the Math Box menu.
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2. Select [Coin Toss], and then press .
• This displays the parameter input screen.
Coins: Select the number of coins as 1, 2, or 3.
Attempts: Input the number of coin tosses (number of trials) as a value
from 1 to 250.
Same Result: This setting is normally Of
f (initial default setting). For
details, see "Same Result Setting" (page 89).
3. Select each of the menu settings and configure them the way you want.
(1) Select [Coins] and then press
. On the menu that appears, select
[3 Coins] and then press .
(2) Select [Attempts] and then press . When the input screen
appears, input 100 and then press . Select [Confirm] and then
press .
(3) Leave the [Same Result] set to Of
f (initial default setting).
4. After all of the settings are the way you want, select [Execute] and then
press
.
• The screen showing execution of the simulation will appear, and then
the screen will change to the Result T
ype menu.
List: Shows a list of heads or tails*
1
for each toss (trial).
Relative Freq: Shows the number of occurrences for each coin that
comes up heads,*
2
and their relative frequencies.
*
1
When there are two or three coins, shows the number of coins of
each toss that come up heads.
*
2
For two or three coins. When there is one coin, this shows the
frequencies of heads and tails and the relative frequencies.
5. Use the Result T
ype menu to select a result display format.
Here we want to display the number of occurrences and relative
frequencies, so select [Relative Freq] and then press
.
• The simulation result is shown on the Relative Freq screen.
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(The result differs with each execution.)
• For details about the simulation result screen, see "Coin T
oss Result
Screen" (page 91).
6. To display results using a different format, display the result screen and
then press
.
• This returns to the Result Type menu, so you can repeat step 5 of this
procedure and change the result display format.
7. If you want to perform a simulation with dif
ferent settings, press
while the Result Type menu is displayed.
• This clears the simulation result and returns to the parameter input
screen. Perform the procedure again from step 3.
8. T
o exit Coin Toss, press
while the parameter input screen is
displayed.
• This returns to the Math Box menu.
Note
• On the Relative Freq screen, you can store the value in a Rel Fr column cell to a
variable. For example, performing the following operation in step 5, above, will store
the value in the first row of the "Rel Fr" column to variable A: – [A=] > [Store].
Coin T
oss Result Screen
• List screen
(1) Each row shows a sequential toss number. For example, 1 is the first
toss, 2 is the second toss, and so on.
(2) A, B, and C indicate each of the coins being used. When two coins
or three coins are being used, the column on the right shows the
number of coins that came up heads.
• Relative Freq screen
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(1) Side: When using only one coin, " " indicates heads while " "
indicates tails. When using two or three coins, this column shows the
number of heads (0 to 3).
(2) Freq: Shows the number of occurrences (frequency) of each toss
outcome.
(3) Rel Fr: Shows the relative frequency (frequency divided by number
of tosses) of toss results.
(4) Number of trials
(5) Highlighted Rel Fr cell’
s value
Number Line
Number Line registers up to three equations or inequalities and displays
their number line graphs. The expression types that can be selected are
shown below.
x<a, x≤a, x=a, x>a, x≥a, a<x<b, a≤x<b, a<x≤b, a≤x≤b
The values that you input for a and b in the above expressions must be
within the ranges defined below.
-1×10
10
≤ a ≤ 1×10
10
-1×10
10
≤ b ≤ 1×10
10
Number Line General Operation Procedure
Example: T
o register following three inequalities and display their number
line graphs: x≤-1.5, x>-1.0, -2.0<x≤-0.5
1. Press
, select the Math Box app icon, and then press .
• This displays the Math Box menu.
2. Select [Number Line], and then press .
• This displays the expression registration screen.
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3. Perform the steps below to register x≤-1.5 in Line A.
(1) Select [A:], and then press .
(2) On the expression type list that appears, select [x≤a] and then press
.
(3) Input -1.5 for a.
((-))1 5
(4) After making sure that [Confirm] is selected, press .
4. Use the steps shown in step 3 to register x>-1.0 in Line B and
-2.0<x≤-0.5 in Line C.
[B:] > [x>a]
((-))1 0
[C:] > [a<x≤b]
((-))2 0
((-))0 5
5. After you finish registering all the expressions, select [Execute] on the
expression registration screen, and then press .
• This displays the number line graph screen. You can use and
to scroll the number line graph left or right.
(1) Shows the number lines of the equations or inequalities registered in
lines A, B, and C in sequence from top to bottom. The meanings of
the arrows (←, →) and circles ( , ) displayed on either end of the
number lines are described below
.
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← Indicates continuation of a range smaller than a in the inequality
x<a, or a range less than or equal to a in x≤a.
→ Indicates continuation of a range greater than a in the inequality
x>a or a range greater than or equal to a in x≥a.
Indicates that this value itself (in the case of an equation) or
inclusion of this value (in the case of an inequality).
Indicates non-inclusion of this value (in the case of an
inequality).
(2) x-axis. This shows the center and either end values.
(3) Shows the equations or inequalities of the currently selected number
line (the number line displayed in bold). T
o display a different number
line expression, use
and to move the bolding to the number
line whose expression you want to view
.
6. To change the expression, display the number line graph screen and
then press
.
• This returns to the expression registration screen. You can change
only the values of a registered expression, or you can re-register
another type of expression. For information about how to do this, see
"Modifying a Registered Expression"
(page 94).
7. To exit Number Line, press
on the expression registration screen.
• This clears the registered expression and returns to the Math Box
menu.
Important!
• If you change the Angle Unit setting on the SETTINGS menu, all expressions currently
registered in Number Line will be deleted.
Modifying a Registered Expression
T
o modify a registered expression
Example: To change the expression in Line C (-2.0<x≤-0.5) to -1.5<x≤0.5
1. On the expression registration screen, select Line C and then press .
2. On the menu that appears, select [Edit] and then press .
3. Input -1.5 for a and 0.5 for b.
((-))1 5 0 5
4. After making sure that [Confirm] is selected, press .
T
o re-register another type of expression
Example: To change the expression in Line A (x≤-1.5) to x=-1.5
1. On the expression registration screen, select Line A and then press
.
2. On the menu that appears, select [Define New] and then press .
3. On the expression type list that appears, select [x=a] and then press .
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4. Input -1.5 for a.
((-))1 5
5. After making sure that [Confirm] is selected, press .
T
o delete a registered expression
On the expression registration screen, select the registered expression
you want to delete, and then press
.
Changing the Display Range of the Number Line Graph Screen
(V
iew-Window)
When you register an expression and display the number line graph
screen, optimal display range settings are configured automatically. You
can change the display range by changing Center (1) and Scale (2)
settings of the x-axis. Use the View-Window screen to change display
range settings.
Example: T
o change the x-axis Scale setting to 1 and the Center setting to
2, and display a number line graph
1. Display the number line graph screen.
2. Press
, select [View-Window], and then press .
• This displays the View-Window screen.
3. Input 1 for [Scale] and 2 for [Center].
1
2
4. After making sure that [Execute] is selected, press .
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Note
• The maximum and minimum values for the x-axis depend on the Center and Scale
settings, as shown below
.
Maximum value: (Center Value) + (Scale Value) × 8
Minimum Value: (Center Value) - (Scale Value) × 8
• After changing the View-Window settings, you can restore the Center and Scale
settings to their automatically configured display range settings by performing the
operation:
– [View-Reset].
• The values that you input for Scale and Center must be within the ranges defined
below
.
1×10
-10
≤ Scale ≤ 1×10
10
-1×10
10
≤ Center ≤ 1×10
10
Circle
Circle provides the functions described below
, which can be used to learn
about angles and trigonometric functions.
• Unit Circle and Half Circle Graphics
The Unit Circle graphic shows the unit circle with a radius of 1, while the
Half Circle graphic shows a half circle with a radius of 1. Both the unit
circle and half circle are centered on the origin of rectangular coordinates.
The figures below show each type of circle with angles of θ1 and θ2, along
with trigonometric function values.
Unit Circle
Half Circle
• Clock Graphic
The Clock graphic can be used to show the two angles that the hour and
minute hands form depending on the time of day
. The figure below shows
a clock graphic with angles θ1 and θ2. In this graphic, the position of the
minute hand is fixed at 12 o’clock.
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Clock
Circle General Operation Procedure
1. Press , select the Math Box app icon, and then press .
• This displays the Math Box menu.
2. Configure the Angle Unit setting as required.
• You can select any one of the following units for angle value input:
Degree, Radian, Gradian. See "Changing Calculator Settings"
(page 21).
3. Select [Circle], and then press .
• This displays the parameter input screen.
• If you want to select Unit Circle for this procedure, you can proceed
directly to step 5. (In this case, press to selects [θ1] in step 5.)
4. Select the Circle type you want to use.
(1) Select [T
ype], and then press
.
(2) On the type list that appears, select [Unit Circle], [Half Circle], or
[Clock] and then press .
• If you selected [Unit Circle] or [Half Circle], you can proceed
directly to step 5.
• If you selected [Clock], proceed to step 6.
5. Input the [θ1] and [θ2] angles.
• When inputting an angle value, use the unit for the currently selected
Angle Unit setting.
• For example, perform the operation below to input 45° for [θ1] and
135° for [θ2] (Angle Unit: Degree).
45
135
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• For the allowable input range for angle values, see the "Note" below.
6. After making sure that [Execute] is selected, press .
• This displays the graphic screen.
• Refer to the sections below for information about how to view the
graphic screen and perform its operations.
"Unit Circle and Half Circle Graphic Screens" (page 98)
"Clock Graphic Screen" (page 99)
7. Press to return to the parameter input screen from the graphic
screen.
8. To exit Circle, display the parameter input screen and then press .
• This returns to the Math Box menu.
Note
• The table below shows the allowable input ranges for values you input in step 5
above.
Angle Unit setting Unit Circle Half Circle
Degree
-10000 < θ < 10000
0 ≤ θ ≤ 180
Radian
0 ≤ θ ≤ π*
Gradian
0 ≤ θ ≤ 200
* 3.1415926535897932384626
Unit Circle and Half Circle Graphic Screens
The Unit Circle and Half Circle appear as shown below
. The sample
displays below are for when values for both θ1 and θ2 have been input.
Unit Circle
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Half Circle
(1) Lines forming angles [θ1] and [θ2]. The currently selected line is
thicker than the other line. Y
ou can change the selection between θ1
and θ2 by pressing
or .
(2) Angle value of the currently selected line’
s angle (θ1 or θ2).
(3) Trigonometric function values of the currently selected line’s angle
(θ1 or θ2).
Note
• When only a single angle (θ1 or θ2) is input, a single thick line will be displayed to
form the angle. In this case, the angle value of the single angle is shown for (2), and
trigonometric function values for the angle are shown for (3).
• On the graphic screen, the values of the trigonometric functions are displayed in
accordance with the settings of Input/Output and Angle Unit.
• When MathI/MathO or MathI/DecimalO is selected for Input/Output, trigonometric
values may include fraction or √
values as applicable.
Example: sin (45) =
√
2/2, cos (30) = √3/2 (Angle Unit: Degree)
Clock Graphic Screen
The example below shows a typical Clock graphic screen.
(1) Clock graphic. The Clock always initially indicates 12 o’clock.
Press to advance the hour hand by one hour, or to move it
back.
(2) T
ime indicated by the clock.
(3) θ1: The smaller angle between the hour and minute hands.
θ2: The larger angle between the hour and minute hands.
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Note
• Angle values are displayed in accordance with the settings of Input/Output and Angle
Unit.
• If Radian is selected for Angle Unit and MathI/MathO is selected for Input/Output, the
angle value will be displayed in π format.
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Technical Information
Errors
The calculator will display an error message whenever an error occurs for
any reason during a calculation.
Displaying the Location of an Error
While an error message is displayed, pressing , , or returns
to the screen that was displayed immediately before the error message
appeared. The cursor will be positioned at the location where the
error occurred, ready for input. Make the necessary corrections to the
calculation and execute it again.
Example: When you input 14 ÷ 0 × 2 by mistake instead of 14 ÷ 10 × 2.
14 0 2
(or or )
1
Error Messages
Syntax ERROR
Cause:
• There is a problem with the format of the calculation you are
performing.
Action:
• Make necessary corrections.
Math ERROR
Cause:
• The intermediate or final result of the calculation you are performing
exceeds the allowable calculation range.
101
• Your input exceeds the allowable input range (particularly when using
functions).
• The calculation you are performing contains an illegal mathematical
operation (such as division by zero).
Action:
• Check the input values, reduce the number of digits, and try again.
• When using a variable as the argument of a function, make sure that
the variable value is within the allowable range for the function.
Stack ERROR
Cause:
• The calculation you are performing has caused the capacity of the
numeric stack or the command stack to be exceeded.
Action:
• Simplify the calculation expression so it does not exceed the capacity
of the stack.
• Try splitting the calculation into two or more parts.
Argument ERROR
Cause:
• There is a problem with the argument of the calculation you are
performing.
Action:
• Make necessary corrections.
Range ERROR
Cause (T
able app):
• An attempt to generate a number table in the Table app whose
conditions cause it to exceed the maximum number of allowable rows.
Action:
• Narrow the table calculation range by changing the Start, End, and
Step values, and try again.
Cause (Math Box app):
• The value input as the Attempts (number of trials) for Dice Roll or
Coin Toss is outside the allowable range or is a non-integer value.
• The value input on the expression registration screen of Number Line
is outside the allowable range, or you entered an inequality with an
invalid maximum-minimum relationship (like 10 < x ≤ 5).
• A value input on the View-Window screen of Number Line is outside
the allowable range.
102
Action:
• For Attempts, input an integer value that is within the allowable range.
• On the expression registration screen, input a value that is within
the allowable range. In the case of an invalid maximum-minimum
relationship for an entered inequality
, edit the inequality to correct the
maximum-minimum relationship.
• On the View-Window screen, input values that are within the
allowable range.
Circular ERROR (f(x) and g(x) feature only)
Cause:
• Circular reference is occurring in a registered composite function
("Registering a Composite Function" (page 60)).
Action:
• Do not have g(x) input into f(x), and f(x) input into g(x) at the same
time.
Not Defined (f(x) and g(x) feature only)
Cause:
• You attempted to calculate f(x) or g(x) with f(x)/g(x) undefined.
Action:
• Define f(x) or g(x) before calculating f(x)/g(x).
Before Assuming Malfunction of the
Calculator
...
Note that you should make separate copies of important data before
performing these steps.
1. Check the calculation expression to make sure that it does not contain
any errors.
2. Make sure that you are using the correct calculator app for the type of
calculation you are trying to perform.
• To check which calculator app you are currently using, press
. This
highlights the icon of the calculator app currently in use.
3. If the above steps do not correct your problem, press the key.
• This causes the calculator to perform a routine that checks whether
calculation functions are operating correctly
. If the calculator discovers
any abnormality, it automatically initializes the calculator app and
clears memory contents.
103
4. Return the calculator settings (except for Contrast and Auto Power Off)
to their initial default settings by performing the procedure below
.
(1) Press
, select a calculator app icon, and then press .
(2) Press , and then select [Reset] > [Settings & Data] > [Yes].
Replacing the Battery
Important!
• fx-85GT CW+ sold in the EU countries: For safety reasons, please do not replace the
battery yourself. Always leave battery replacement up to an authorized CASIO service
center
.
If the screen shown below appears right after you turn on power, it means
that remaining battery power is low.
A low battery is also indicated by a dim display, even if contrast is
adjusted, or by failure of figures to appear on the display immediately after
you turn on the calculator
.
If this happens or if the above screen appears, follow the instructions
below for your calculator model.
fx-83GT CW+: Replace the battery with a new one. For details, see "To
replace the battery (fx-83GT CW+)" (page 104).
fx-85GT CW+: Contact an authorized CASIO Service Center to have the
battery replaced.
Important!
• Removing the battery causes all of the calculator’s memory contents to be cleared.
T
o replace the battery (fx-83GT CW+)
1. Press
(OFF) to turn off the calculator.
• To ensure that you do not accidentally turn on power while replacing
the battery
, attach the front cover to the front of the calculator.
2. As shown in the illustration, remove the battery cover, remove the
battery, and then load a new battery with its plus (+) and minus (−)
ends facing correctly.
104
3. Replace the battery cover.
4. Press to turn on the calculator.
5. Initialize the calculator
.
(1) Press
, select a calculator app icon, and then press .
(2) Press , and then select [Reset] > [Initialize All] > [Yes].
• Do not skip the above steps!
Calculation Priority Sequence
The calculator performs calculations according to a calculation priority
sequence.
• Basically, calculations are performed from left to right.
• Expressions within parentheses have the highest priority.
• The following shows the priority sequence for each individual command.
1 Parenthetical expressions
2
Functions that have parentheses (sin(, log(, f(, g(, etc.,
functions that take an argument to the right, functions that
require a closing parenthesis after the argument)
3
Functions that come after the input value (x
2
, x
-1
, x!, °’ ”, °,
r
,
g
, %), powers (
), roots ( )
4 Fractions
5 Negative sign ((-))
6
Statistics app estimated values (xˆ, yˆ, xˆ
1
, xˆ
2
)
7 Multiplication where the multiplication sign is omitted
105
8
Permutation (nPr), combination (nCr)
9 Multiplication (×), division (÷)
10 Addition (+), subtraction (−)
Precautions when a calculation contains negative values
If a calculation contains a negative value, you may need to enclose
the negative value in parentheses. If you want to square the value -2,
for example, you need to input: (-2)
2
. This is because x
2
is a function
preceded by a value (Priority 3, above), whose priority is greater than the
negative sign, which is a prefix symbol (Priority 5).
Example:
((-))2 -2
2
= -4
((-))2 (-2)
2
= 4
Precautions when using the key in a calculation
The data that is input when you press the key depends on the
current – [Calc Settings] > [ Key] (page 24) setting. Calculation
priority depends on the syntax of the formula that is input. Because of
this, changing the above setting may af
fect calculation results even if the
formula is input using identical key operations.
To calculate 100 ÷ 2 × 10
2
Example 1
When "
(Sci Notat)" is selected for [ Key] (initial default): 2 × 10
2
calculation priority is higher, so the result is 100 ÷ (2 × 10
2
) =
1
2
.
100 2 2
Example 2
When " (Power)" is selected for [ Key]: 100 ÷ 2 calculation priority
is higher
, so the result is (100 ÷ 2) × 10
2
= 5000.
100
2 2
106
Note
• When " (Sci Notat)" is selected for [ Key], parentheses will be inserted
automatically as shown in the Example 1 above. Note, however
, that parentheses
will not be inserted automatically if you input the sexagesimal symbol (
) immediately
after .
1 2 ( )2 2 ( )
3 2 ( )
Calculation Ranges, Number of
Digits, and Precision
The calculation range, number of digits used for internal calculation, and
calculation precision depend on the type of calculation you are performing.
Calculation Range and Precision
Calculation Range ±1 × 10
-99
to ±9.999999999 × 10
99
or 0
Number of Digits for
Internal Calculation
23 digits
Precision
In general, ±1 at the 10th digit for a single
calculation. Precision for exponential
display is ±1 at the least significant digit.
Errors are cumulative in the case of
consecutive calculations.
Function Calculation Input Ranges and Precision
Functions Input Range
sinx
cosx
Degree
0 ≤ |x| < 9 × 10
9
Radian
0 ≤ |x| < 157079632.7
Gradian
0 ≤ |x| < 1 × 10
10
107
tanx
Degree
Same as sinx, except when
|x| = (2n − 1) × 90.
Radian
Same as sinx, except when
|x| = (2n − 1) × π/2.
Gradian
Same as sinx, except when
|x| = (2n − 1) × 100.
sin
-1
x, cos
-1
x 0 ≤ |x| ≤
1
tan
-1
x 0 ≤ |x|
≤ 9.999999999 × 10
99
sinhx, coshx 0 ≤ |x|
≤ 230.2585092
sinh
-1
x 0 ≤ |x|
≤ 4.999999999 × 10
99
cosh
-1
x 1 ≤ x ≤ 4.999999999 × 10
99
tanhx 0 ≤ |x| ≤ 9.999999999 × 10
99
tanh
-1
x 0 ≤ |x|
≤ 9.999999999 × 10
-1
logx, lnx 0 < x ≤ 9.999999999 × 10
99
10
x
-9.999999999 × 10
99
≤ x ≤ 99.99999999
√
x 0 ≤ x < 1 × 10
100
x
2
|x| < 1 × 10
50
x
-1
|x| < 1 × 10
100
; x ≠ 0
x! 0 ≤ x ≤
69 (x is an integer)
nPr
0 ≤ n < 1 × 10
10
, 0 ≤ r ≤ n (n, r are integers)
1 ≤ {n!/(n − r)!} < 1 × 10
100
nCr
0 ≤ n < 1 × 10
10
, 0 ≤ r ≤
n (n, r are integers)
1 ≤ n!/r! < 1 × 10
100
or 1 ≤ n!/(n
− r)! < 1 × 10
100
Pol(x, y)
|x|, |y| ≤ 9.999999999 × 10
99
√
x
2
+ y
2
≤ 9.999999999 × 10
99
Rec(r, θ)
0 ≤ r ≤ 9.999999999 × 10
99
θ: Same as sinx
108
a°b’c”
|a|, b, c < 1 × 10
100
; 0 ≤ b, c
The display seconds value is subject to an error
of ±1 at the second decimal place.
a°b’c” = x
0°0’0” ≤ |x| ≤ 9999999°59’59”
A sexagesimal value outside of the above range
is automatically treated as a decimal value.
x
y
x > 0: -1 × 10
100
< ylogx
< 100
x = 0: y > 0
x < 0: y = n,
m
2n
+ 1
(m, n
are integers)
However: -1 × 10
100
< ylog |x| < 100
x
√
y
y > 0: x ≠ 0, -1 × 10
100
< 1/x logy < 100
y = 0: x > 0
y < 0: x = 2n + 1,
2n + 1
m
(m ≠ 0; m, n are integers)
However: -1 × 10
100
< 1/x
log |y| < 100
a
b
/
c
Total of integer, numerator, and denominator
must be 10 digits or less (including separator
symbol).
RanInt#(a, b) a < b; |a|, |b| < 1 × 10
10
; b − a < 1 × 10
10
GCD(a, b) |a|, |b| < 1 × 10
10
(a, b are integers)
LCM(a, b) 0 ≤ a, b < 1 × 10
10
(a, b are integers)
• Precision is basically the same as that described under "Calculation
Range and Precision" (page 107), above.
• x
y
,
x
√
y, x!, nPr, nCr type functions require consecutive internal calculation,
which can cause accumulation of errors that occur with each calculation.
• Error is cumulative and tends to be large in the vicinity of a function’s
singular point and inflection point.
• The range for calculation results that can be displayed in π
form when
MathI/MathO is selected for Input/Output on the SETTINGS menu is
|x| < 10
6
. Note, however, that internal calculation error can make it
impossible to display some calculation results in π form. It also can
cause calculation results that should be in decimal form to appear in π
form.
109
Specifications
fx-83GT CW+
Power Requirements:
AAA-size battery R03 × 1
Approximate Battery Life:
2 years (based on one hour of operation per day)
Power Consumption:
0.0008 W
Operating T
emperature:
0°C to 40°C (32°F to 104°F)
Dimensions:
13.8 (H) × 77 (W) × 162 (D) mm
9
/
16
” (H) × 3
1
/
16
” (W) × 6
3
/
8
” (D)
Approximate W
eight:
100 g (3.5 oz) including the battery
fx-85GT CW+
Power Requirements:
Built-in solar cell; button battery LR44 × 1
Approximate Battery Life:
2 years (based on one hour of operation per day)
Operating Temperature:
0°C to 40°C (32°F to 104°F)
Dimensions:
10.7 (H) × 77 (W) × 162 (D) mm
7
/
16
” (H) × 3
1
/
16
” (W) × 6
3
/
8
” (D)
Approximate W
eight:
95 g (3.4 oz) including the battery
110
Frequently Asked Questions
Frequently Asked Questions
■ How can I change a fraction form result produced by a division
operation to decimal form?
→ While a fraction calculation result is displayed, press , or press
( ). For more information, see "T
oggling Calculation Results
between Standard (Fraction, π, √
Form) and Decimal" (page 43). T
o
have calculation results initially appear as decimal values, change the
Input/Output setting on the SETTINGS menu to MathI/DecimalO.
■ What is the difference between Ans memory and variable memory?
→ Each of these types of memory acts like "containers" for temporary
storage of a single value.
Ans Memory: Stores the result of the last calculation performed. Use
this memory to carry the result of one calculation on to the next.
Variables: This memory is helpful when you need to use the same
value multiple times in one or more calculations.
■ How can I find a function I was using with an older CASIO
calculator model on this calculator?
→ This calculator’s functions can be accessed from the CATALOG menu
that appears when you press
or the CATALOG list that appears
when you press ( ). For details, see the sections below.
"Using the CA
TALOG Menu and CATALOG List" (page 26)
"Advanced Calculations" (page 51)
■ With an older CASIO calculator model, I pressed
to change
the calculation result display format. What should I do with this
calculator?
→ Use to change the calculation result display format. For details, see
"Changing Calculation Result Format"
(page 43).
■ How can I find out which calculator app I am currently using?
→ Press
. This causes the icon of the calculator app you are currently
using to become highlighted.
■ How do I calculate sin
2
x
→ For example, to calculate sin
2
30 =
1
4
, enter the calculation below.
111
30
■ Why does the battery icon ( ) appear right after the calculator is
turned on?
→ The battery icon indicates that battery power is low. If you see this
icon, replace the battery as soon as possible. For details about battery
replacement, see "Replacing the Battery" (page 104).
■ How can I return the calculator to its initial default settings?
→ Perform the procedure below to initialize calculator settings (except for
Contrast and Auto Power Off).
(1) Press , select a calculator app icon, and then press .
(2) Press , and then select [Reset] > [Settings & Data] > [Yes].
112
CASIO COMPUTER CO., LTD.
6-2, Hon-machi 1-chome
Shibuya-ku, Tokyo 151-8543, Japan
