Casio fx-82AR X User manual

EN
http://edu.casio.com
User’s Guide
CASIO Worldwide Education Website
http://world.casio.com/manual/calc
Manuals are available in multi languages at
Be sure to keep all user documentation handy for future reference.
fx-95AR X
fx-82AR X

CONTENTS
About this Manual......................................................................................2
Initializing the Calculator........................................................................... 2
Precautions................................................................................................2
Getting Started.......................................................................................... 3
Calculation Mode.......................................................................................4
Input and Output Formats......................................................................... 5
Configuring the Calculator Setup.............................................................. 6
Inputting Expressions and Values............................................................. 7
Toggling Calculation Results..................................................................... 9
Basic Calculations................................................................................... 10
Calculation History and Replay............................................................... 11
Using Memory Functions.........................................................................11
Function Calculations.............................................................................. 12
Statistical Calculations.............................................................................15
Equation Calculations (fx-95AR X only)...................................................17
Creating a Number Table........................................................................ 19
Inequality Calculations (fx-95AR X only)................................................. 20
Ratio Calculations (fx-95AR X only).........................................................20
Errors....................................................................................................... 21
Before Assuming Malfunction of the Calculator... .................................22
Replacing the Battery.............................................................................. 22
Technical Information...............................................................................22
■■ Frequently Asked Questions ■■.........................................................25
• 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.
1

About this Manual
• Unless specifically stated, all sample operations in this manual assume
that the calculator is in its initial default setup. Use the procedure under
“Initializing the Calculator” to return the calculator to its initial default
setup.
• The contents of this manual are subject to change without notice.
• The displays and illustrations (such as key markings) shown in this User’s
Guide are for illustrative purposes only, and may differ somewhat from
the actual items they represent.
• Company and product names used in this manual may be registered
trademarks or trademarks of their respective owners.
Initializing the Calculator
Perform the following procedure when you want to initialize the calculator
and return the calculation mode and setup (except Language and Contrast
settings) to their initial default settings. Note that this operation also clears
all data currently in calculator memory.
(RESET)(Initialize All)(Yes)
Precautions
Safety Precautions
Battery
• Keep batteries out of the reach of small children.
• Use only the type of battery specified for this calculator in this manual.
Handling Precautions
• Even if the calculator is operating normally, replace the battery at least
once every two years. A dead battery can leak, causing damage to and
malfunction of the calculator.
• 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.
2

Getting Started
Before using the calculator, slide its hard case
downwards to remove it, and then affix the hard
case to the back of the calculator as shown in the
illustration nearby.
Turning Power On and Off
Press to turn on the calculator. Press
(OFF) to turn off the calculator.
Note: The calculator also will turn off automatically after approximately 10
minutes of non-use. Press the key to turn the calculator back on.
Adjusting Display Contrast
Display the Contrast screen by performing the key operation below:
(SETUP)*1or *2(Contrast). Next, use and to
adjust contrast. After the setting is the way you want, press .
*1: fx-82AR X *2: fx-95AR X
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 or 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.
(1) Keycap function (2) Alternate function
This color: Means this:
Yellow Press and then the key to access the
applicable function.
Red
Press and then the key to input the
applicable variable, constant, function, or
symbol.
Reading the Display
• If a or indicator appears on the right side of either the input
expression line or calculation result line, it means the displayed line
continues to the right. Use and to scroll the line display. Note that
if you want to scroll the input expression while both the and 
indicators are displayed, you will need to press first and then use 
and to scroll.
• The table below describes some of the typical indicators that appear at
the top of the screen.
3

The keypad has been shifted by pressing the key. The
keypad will unshift and this indicator will disappear when you
press a key.
The alpha input mode has been entered by pressing the 
key. The alpha input mode will be exited and this indicator
will disappear when you press a key.
//Indicates the current setting of Angle Unit (: Degree, :
Radian, or : Gradian) on the setup menu.
FIX A fixed number of decimal places is in effect.
SCI A fixed number of significant digits is in effect.
MThere is a value stored in independent memory.

The calculator is standing by for input of a variable name to
assign a value to the variable. This indicator appears after
you press .
Indicates that MathI/MathO or MathI/DecimalO is selected for
Input/Output on the setup menu.
The display currently shows an intermediate result of a multi-
statement calculation.
Using Menus
Some of the operations of this calculator are performed using menus.
Menus are displayed by pressing or and then (SETUP).
General menu operation operations are described below.
• You can select a menu item by pressing the number key that
corresponds to the number to its right*1or left*2on the menu screen.
or
*1*2
• A vertical scroll bar (1) indicates that the menu runs off the screen. In this
case, you can use and to scroll the menu up and down. A right*1
or left*2arrow (2) indicates that the currently displayed menu is a sub-
menu. To return from a sub-menu to its parent menu, press *1or
*2.
• To close a menu without selecting anything, press .
*1 Language: Arabic *2 Language: English
Calculation Mode
Specify the calculation mode that is suitable for the type of calculation you
want to perform.
1. Press  to display the Main Menu.
2. Use the cursor keys to move the
highlighting to the icon you want.
(Example: fx-95AR X)
For this: Select this icon:
4

General calculations (Calculate)
Statistical and regression calculations (Statistics)
Generate a number table based on one
or two functions (Table)
Equation and function calculations (Equation/Func)*
Inequality calculations (Inequality)*
Ratio calculations (Ratio)*
* fx-95AR X only
3. Press to display the initial screen of the mode whose icon you
selected.
Note: The initial default calculation mode is the Calculate Mode.
Input and Output Formats
Before starting a calculation on the calculator, you should first use the
operations in the table below to specify the formats that should be applied
for calculation formula input and calculation result output.
To specify this type of input and output:
Press (SETUP)


(Input/Output) and then
press:
Input: Natural Textbook; Output: Format that
includes a fraction, √, or π*1(MathI/MathO)
Input: Natural Textbook; Output: Converted
to decimal value (MathI/DecimalO)
Input: Linear*2; Output: Decimal or fraction (LineI/LineO)
Input: Linear*2; Output: Converted to
decimal value (LineI/DecimalO)
*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
MathI/DecimalO
5

LineI/LineO
LineI/DecimalO
Note: The initial default input/output format setting is MathI/MathO.
Configuring the Calculator Setup
To change the calculator setup
1. Press (SETUP) to display the setup menu.
2. Use and to scroll the setup menu, and then input the number
displayed to the right*1 or left*2 of the item whose setting you want to
change.
*1 Language: Arabic *2 Language: English
Items and Available Setting Options
“◆” indicates the initial default setting.
Input/Output 

MathI/MathO◆;

MathI/DecimalO;

LineI/LineO;

LineI/DecimalO Specifies the format to be used by the calculator for
formula input and calculation result output.
Angle Unit

Degree◆;

Radian;

Gradian Specifies degree,
radian or gradian as the angle unit for value input and calculation result
display.
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: 1007(≈)* 14.286 (Fix 3)

Sci: The value you specify (from 0 to 9) controls the number of
significant digits for displayed calculation results. Calculation results are
rounded off to the specified digit before being displayed.
Example: 17(≈)* 1.4286 × 10-1 (Sci 5)

Norm: Displays calculation results in exponential format when they fall
within the ranges below.

Norm 1◆:10-2 > |x|, |x| ≧1010,

Norm 2: 10-9 > |x|, |x| ≧1010
Example: 1200(≈)* 5 × 10-3 (Norm 1), 0.005 (Norm 2)
* Pressing (≈) instead of after inputting a calculation will display
the calculation result in decimal form.
Fraction Result

ab/c;

d/c◆Specifies either mixed fraction or
improper fraction for display of fractions in calculation results.
Complex (fx-95AR X only)

a+bi◆;

r
∠
θSpecifies either rectangular
coordinates or polar coordinates for Equation/Func Mode solutions.
Note: An iindicator is displayed at the top of the screen while a+biis
selected for the Complex setting. ∠is displayed while r∠θis selected.
6

Statistics 

On;

Off◆Specifies whether or not to display a Freq
(frequency) column in the Statistics Mode Statistics Editor.
Equation/Func (fx-95AR X only)

On◆;

Off Specifies whether or not
to use complex numbers in solutions output in the Equation/Func Mode.
Table

f(x);

f(x),g(x)◆Specifies whether to use function f(x) only or
the two functions f(x) and g(x) in the Table Mode.
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.
Note: 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 (;).
Digit Separator

On;

Off◆Specifies whether or not a separator
character should be used in calculation results.
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.
Language

English;

Arabic◆Specifies the language to be used for
calculator menus and messages.
To initialize calculator settings (except the Contrast setting)
(RESET)(Setup Data)(Yes)
Inputting Expressions and Values
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.
Note
• 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 .
• 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 closed parenthesis.
Example: 6 ÷ 2 1 + 2 6 ÷ 21 + 2
- When a multiplication sign is omitted immediately before a variable, a
constant, etc.
Example: 2÷2 2 2 ÷ 2 2
7

Calculation Priority Sequence
The priority sequence of input calculations is evaluated in accordance with
the rules below. When the priority of two expressions is the same, the
calculation is performed from left to right.
1 Parenthetical expressions
2
Functions that have parentheses (sin(, log(, etc., functions that take
an argument to the right, functions that require a closing parenthesis
after the argument)
3Functions that come after the input value (𝑥2, 𝑥3, 𝑥-1, 𝑥!, °’ ”, °, r, g, %),
powers (), roots ( )
4 Fractions
5 Negative sign ((-))
6Statistics Mode estimated values (𝑥, 𝑦, 𝑥1, 𝑥2)
7 Multiplication where the multiplication sign is omitted
8Permutation (nPr), combination (nCr)
9 Multiplication (×), division (÷)
10 Addition (+), subtraction (−)
Note: When squaring a negative value (such as -2), the value being
squared must be enclosed in parentheses (2). Since x2has
a higher priority than the negative sign, inputting 2 would result in
the squaring of 2 and then appending a negative sign to the result. Always
keep the priority sequence in mind, and enclose negative values in
parentheses when required.
Inputting an Expression Using Natural Textbook
Format (MathI/MathO or MathI/DecimalO Only)
Formulas and 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.
Example: 31
2+53 2
1. Press ().
• This inputs a mixed fraction template.
2. Input values into the integer, numerator, and denominator areas of the
template.
312
3. Do the same to input the remainder of the expression.
() 532
Tip: While the input cursor is located within the input area of a template
(mixed fractions), pressing  jumps to the position immediately
following (to the right) of the template, while pressing  jumps to the
position immediate before (to the left of) it.
8

Note
• When you press and obtain a calculation result, part of the
expression you input may be cut off. If you need to view the entire input
expression again, press and then use and to scroll the input
expression.
• Nesting of functions and parentheses is allowed. Further input will
become impossible if you nest too many functions and/or parentheses.
To undo operations (MathI/MathO or MathI/DecimalO only): To undo the
last key operation, press (UNDO). To redo a key operation you have
just undone, press (UNDO) again.
Using Values and Expressions as Arguments (MathI/
MathO or MathI/DecimalO only)
Example: To input 1+ 7
6and then change it to 1+ 7 6
176(INS)

Pressing (INS) in the above example causes 7
6to 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. You can toggle between the insert and overwrite modes by
performing the operations: (INS). The cursor appears as “” in the
insert mode and as “” in the overwrite mode.
Toggling Calculation Results
While MathI/MathO or MathI/DecimalO is selected for Input/Output on the
setup menu, each press of will toggle the currently displayed
calculation result between its fraction form and decimal form, its √form
and decimal form, or its πform and decimal form.
𝜋÷6= 1
6𝜋=0.5235987756 (MathI/MathO)
(π)61
6π←→0.5235987756
2+2 ×3=5.913591358 = 6+2 3 (MathI/DecimalO)
2235.913591358 ←→6+2 3
Regardless of what is selected for Input/Output on the setup menu, each
press of will toggle the currently displayed calculation result between its
decimal form and fraction form.
Important
• With certain calculation results, pressing the  key will not convert the
displayed value.
9