Casio fx-82AU PLUS II User Manual

Casio fx-82AU PLUS II User Manual

2nd edition / natural - v.p.a.m.
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fx-82AU PLUS II
(2nd edition / NATURAL-V.P.A.M.)
User's Guide
CASIO Worldwide Education Website
https://edu.casio.com
Manuals are available in multi languages at
https://world.casio.com/manual/calc/
EN

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Summary of Contents for Casio fx-82AU PLUS II

  • Page 1 PLUS II (2nd edition / NATURAL-V.P.A.M.) User’s Guide CASIO Worldwide Education Website https://edu.casio.com Manuals are available in multi languages at https://world.casio.com/manual/calc/...
  • Page 2: Table Of Contents

    Table of Contents Before Using the Calculator............ 3 About this Manual..................3 Initializing the Calculator................3 Precautions....................3 Safety Precautions..................3 Handling Precautions..................4 Getting Started..................4 Removing the Hard Case................4 Turning Power On and Off................5 Adjusting Display Contrast................5 Key Markings....................
  • Page 3 Function Calculations............27 Pi (π), Natural Logarithm Base e............27 Trigonometric Functions................ 27 Hyperbolic Functions................27 Angle Unit Conversion................28 Exponential Functions................28 Logarithmic Functions................28 Power Functions and Power Root Functions.........29 Rectangular-Polar Coordinate Conversion..........30 Factorial Function (!)................31 Absolute Value Function (Abs)...............31 Random Number (Ran#)................31 Random Integer (RanInt#)..............
  • Page 4: Before Using The Calculator

    Before Using the Calculator 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.
  • Page 5: Handling Precautions

    Replace the battery immediately after display figures become dim. fx-82AU PLUS II: Every 2 years • A dead battery can leak, causing damage to and malfunction of the calculator. Never leave a dead battery in the calculator.
  • Page 6: Turning Power On And Off

    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 1.
  • Page 7: Reading The Display

    • The following shows an example of how a key operation to select an on- screen menu item is represented in this manual. Example: (COMP) * Indicates the menu item that is selected by the number key operation ( ) before it. Note that this is not part of the actual key operation you perform.
  • Page 8 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. There 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.
  • Page 9: Using Menus

    Using Menus Some of the calculator's operations are performed using menus. Pressing , for example, will display a menu of applicable functions. The following are the operations you should use to navigate between menus. • You can select a menu item by pressing the number key that corresponds to the number to its left on the menu screen.
  • Page 10: Calculation Modes And Calculator Setup

    Calculation Modes and Calculator Setup Calculation Mode Before starting a calculation, you must first enter the correct mode as indicated in the table below. When you want to perform this type of Perform this key operation: operation: General calculations (COMP) Statistical and regression calculations (STAT) Verify a calculation...
  • Page 11 Natural Display (SETUP) (MthIO) (LineO) (MthIO-LineO) Linear Display (SETUP) (LineIO) (LineIO) Natural Display (MthIO-MathO, MthIO-LineO) causes fractions, irrational numbers, and other expressions to be displayed as they are written on paper. MthIO-MathO displays input and calculation results using the same format as they are written on paper.
  • Page 12 Note • The calculator switches to Linear Display automatically whenever you enter the STAT Mode. Specifying the Default Angle Unit To specify this as the Perform this key operation: default angle unit: Degrees (SETUP) (Deg) Radians (SETUP) (Rad) Grads (SETUP) (Gra) 90°= π/2 radians = 100 grads Specifying the Number Format...
  • Page 13 format. Outside the specified range, results are displayed using non- > |x|, |x| ≧ 10 exponential format. > |x|, |x| ≧ 10 Norm 1: 10 Norm 2: 10 Example: (LineIO) 1 ÷ 200 = 5 × 10 (Norm 1) 0.005 (Norm 2) Specifying the Fraction Display Format To specify this fraction display...
  • Page 14: Initializing Calculator Settings

    Adjusting Display Contrast (SETUP) CONT See "Getting Started" for details. Initializing Calculator Settings Perform the following procedure to initialize the calculator, which returns the calculation mode to COMP and returns all other settings, including setup menu settings, to their initial defaults. (CLR) (Setup) (Yes)
  • Page 15: Inputting Expressions And Values

    Inputting Expressions and Values Basic Input Rules Calculations can be input in the same form as they are written. When you press the priority sequence of the input calculation will be evaluated automatically and the result will appear on the display. Example 1: 4 ×...
  • Page 16 Examples: 6 ÷ 2 (1 + 2) → 6 ÷ (2 (1 + 2)) 6 ÷ A (1 + 2) → 6 ÷ (A (1 + 2)) 1 ÷ (2 + 3) sin(30) → 1 ÷ ((2 + 3) sin(30)) - When a multiplication sign is omitted immediately before a variable, a constant, etc.
  • Page 17: Inputting With Natural Display

    • 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 with Natural Display Selecting Natural Display makes it possible to input and display fractions and certain functions ( , , Abs) just as they are written in your textbook.
  • Page 18: Overwrite Input Mode (Linear Display Only)

    (INS) As shown above, the value or expression to the right of the cursor after (INS) are pressed becomes the argument of the function that is specified next. The range encompassed as the argument is everything up to the first open parenthesis to the right, if there is one, or everything up to the first function to the right (sin(30), log(4), etc.) This capability can be used with the following functions: Overwrite Input Mode (Linear...
  • Page 19 To insert a character or function into a calculation: to move the cursor to the location where you want to insert the character or function and then input it. Be sure always to use the insert mode if Linear Display is selected. To clear all of the calculation you are inputting: Press...
  • Page 20: Basic Calculations

    Basic Calculations Use the key to enter the COMP Mode when you want to perform basic calculations. (COMP) Toggling Calculation Results Each press of will toggle the currently displayed calculation result between its decimal form and fraction form. Example 1: 1 ÷...
  • Page 21: Fraction Calculations

    Note • With Natural Display (MathO), pressing instead of after inputting a calculation will display the calculation result in decimal form. Fraction Calculations Note that the input method for fractions is different, depending upon whether you are using Natural Display or Linear Display. Example 1: (MthIO-LineO) (LineIO) 2...
  • Page 22: Percent Calculations

    Percent Calculations Inputting a value and pressing (%) causes the input value to become a percent. Example 1: 150 × 20% = 30 Example 2: Calculate what percentage of 880 is 660 (75%) Example 3: Increase 2500 by 15% (2875) 2500 2500 2875...
  • Page 23: Multi-Statements

    2°15’18” (Converts sexagesimal to decimal.) 2.255 (Converts decimal to sexagesimal.) 2°15’18” Multi-Statements You can use the colon character (:) to connect two or more expressions and execute them in sequence from left to right when you press Example: 3 + 3 : 3 × 3 (:) 3 Using Engineering Notation A simple key operation transforms a displayed value to engineering...
  • Page 24: Calculation History And Replay

    Example 1: To perform prime factorization on 1014 1014 1014 (FACT) When you perform prime factorization on a value that includes a factor that is prime number with more than three digits, the part that cannot be factored will be enclosed in parentheses on the display. Example 2: To perform prime factorization on 4104676 (= 2 ×...
  • Page 25: Replay

    3 + 3 = 6 (Scrolls back.) (Scrolls back again.) Note • Calculation history data is all cleared whenever you press , when you change to a different calculation mode, when you change the display format, or whenever you perform the following operations: (CLR) (Setup) (Yes),...
  • Page 26: Variables (A, B, C, D, E, F, M, X, Y)

    (MthIO-LineO) (Continuing) 789 Variables (A, B, C, D, E, F, M, X, Y) Your calculator has nine preset variables named A, B, C, D, E, F, M, X, and Y. You can assign values to variables and use the variables in calculations. Example: To assign the result of 3 + 5 to variable A (STO)
  • Page 27: Clearing The Contents Of All Memories

    To subtract the result of 10 + 5 from M (Continuing) 10 (M-) To recall the contents of M (Continuing) Note • Variable M is used for independent memory. Clearing the Contents of All Memories Ans memory, independent memory, and variable contents are retained even if you press , change the calculation mode, or turn off the calculator.
  • Page 28: Function Calculations

    Function Calculations Use the key to enter the COMP Mode when you want to perform function calculations. (COMP) Note: Using functions can slow down a calculation, which may delay display of the result. Do not perform any subsequent operation while waiting for the calculation result to appear.
  • Page 29: Angle Unit Conversion

    (sinh) 1 1.175201194 Example 2: cosh 1 = 0 (cosh Angle Unit Conversion °, : These functions specify the angle unit. ° specifies degrees, radians, and grads. Input a function from the menu that appears when you perform the following key operation: (DRG ).
  • Page 30: Power Functions And Power Root Functions

    Power Functions and Power Root Functions Note that the input methods for , and are different depending upon whether you are using Natural Display or Linear Display. Example 1: 1.2 × 10 = 1200 (MthIO-LineO) 1200 Example 2: (1 + 1) = 16 (MthIO-LineO) Example 3: = 15625...
  • Page 31: Rectangular-Polar Coordinate Conversion

    Note • The following functions cannot be input in consecutive sequence: x . If you input 2 , for example, the final will be ignored. To input 2 , input 2 press the key, and then press (MthIO-LineO). Rectangular-Polar Coordinate Conversion Pol converts rectangular coordinates to polar coordinates, while Rec converts polar coordinates to rectangular coordinates.
  • Page 32: Factorial Function (!)

    (MthIO-LineO) (Rec) (,) 45 X = 1, Y = 1 Factorial Function (!) Example: (5 + 3)! = 40320 40320 Absolute Value Function (Abs) Note that the input method is different depending upon whether you are using Natural Display or Linear Display. Example: |2 - 7| ×...
  • Page 33: Random Integer (Ranint#)

    Random Integer (RanInt#) For input of the function of the form RanInt#(a, b), which generates a random integer within the range of a to b. Example: To generate random integers in the range of 1 to 6 (RanInt) 1 (,) 6 (Results shown here are for illustrative purposes only.
  • Page 34: Greatest Common Divisor (Gcd) And Least Common Multiple (Lcm)

    Example: To perform the following calculations when Fix 3 is selected for the number of display digits: 10 ÷ 3 × 3 and Rnd(10 ÷ 3) × 3 (LineIO) (SETUP) (Fix) 10.000 (Rnd) 10 9.999 Greatest Common Divisor (GCD) and Least Common Multiple (LCM) Greatest Common Divisor (GCD) GCD determines the greatest common divisor of two values.
  • Page 35: Using Calculation Modes

    Using Calculation Modes Statistical Calculations (STAT) To start a statistical calculation, perform the key operation (STAT) to enter the STAT Mode and then use the screen that appears to select the type of calculation you want to perform. To select this type of statistical calculation: Press this key: (Regression formula shown in parentheses) Single-variable (X)
  • Page 36: Inputting Data

    Note • When you want to change the calculation type after entering the STAT Mode, perform the key operation (STAT) (Type) to display the calculation type selection screen. Inputting Data Use the Statistics Editor to input data. Perform the following key operation to display the Statistics Editor: (STAT) (Data).
  • Page 37: Statistics Calculation Screen

    To change the data in a cell: In the Statistics Editor, move the cursor to the cell that contains the data you want to change, input the new data, and then press To delete a line: In the Statistics Editor, move the cursor to the line that you want to delete and then press To insert a line: In the Statistics Editor, move the cursor to the location where you want to...
  • Page 38 Statistics Menu Items Common Items Select this menu When you want to obtain this: item: (Type) Display the calculation type selection screen (Data) Display the Statistics Editor Display the Sum sub-menu of commands for (Sum) calculating sums Display the Var sub-menu of commands for (Var) calculating the mean, standard deviation, etc.
  • Page 39 Var Sub-menu ( (STAT) (Var)) Select this menu When you want to obtain this: item: Number of samples Mean of the sample data (σ Population standard deviation Sample standard deviation MinMax Sub-menu ( (STAT) (MinMax)) Select this menu When you want to obtain this: item: (minX) Minimum value...
  • Page 40 (∑x Sum of (X-data squares × Y-data) (∑x Sum of biquadrate of the X-data Var Sub-menu ( (STAT) (Var)) Select this menu When you want to obtain this: item: Number of samples Mean of the X-data (σ Population standard deviation of the X-data Sample standard deviation of the X-data Mean of the Y-data (σ...
  • Page 41 (maxX) Maximum value of the X-data (minY) Minimum value of the Y-data (maxY) Maximum value of the Y-data Commands when Quadratic Regression Calculation (_+CX ) Is Selected Reg Sub-menu ( (STAT) (Reg)) Select this menu When you want to obtain this: item: Regression coefficient constant term A Linear coefficient B of the regression...
  • Page 42: Calculating Estimated Values

    (STAT) (Var) (σ 1.154700538 Results: Mean: 3, Population Standard Deviation: 1.154700538 Example 3: To calculate the linear regression and logarithmic regression correlation coefficients for the following paired-variable data and determine the regression formula for the strongest correlation: (x, y) = (20, 3150), (110, 7310), (200, 8800), (290, 9310).
  • Page 43: Using Verify (Verif)

    Using VERIFY (VERIF) VERIFY is a function you can use to verify whether an input equality or inequality is true (indicated by TRUE) or false (indicated by FALSE). The following shows the general procedure for using VERIFY. Example: To verify whether 4√9 = 12 is true (MthIO-LineO) 1.
  • Page 44: Expression Input Precautions

    • Pol and Rec functions cannot be used in an expression. • In the VERIFY Mode, the calculator performs a mathematical operation on the input expression and then displays TRUE or FALSE based on the result. Because of this, calculation error can occur or a mathematically correct result may not be able to be displayed when the input calculation expression includes calculation that approaches the singular point or inflection point of a function, or when the input expression contains multiple calculation operations.
  • Page 45 (VERIFY) (VERIFY)
  • Page 46: Technical Information

    Technical Information Errors The calculator will display an error message whenever an error occurs for any reason during a calculation. There are two ways to exit an error message display: Pressing to display the location of the error, or pressing to clear the message and calculation.
  • Page 47: Before Assuming Malfunction Of The Calculator

    • 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. •...
  • Page 48: Replacing The Battery

    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 mode for the type of calculation you are trying to perform.
  • Page 49: Calculation Priority Sequence

    3. Remove the battery, and then load a new battery with its plus (+) and minus (-) ends facing correctly. 4. Replace the cover. 5. Initialize the calculator: (CLR) (All) (Yes). • Do not skip the above step! Calculation Priority Sequence The priority sequence of input calculations is evaluated in accordance with the rules below.
  • Page 50: Calculation Ranges, Number Of Digits, And Precision

    Permutation (nPr), combination (nCr) Multiplication (×), division (÷) Addition (+), subtraction (-) Note • When squaring a negative value (such as -2), the value being squared must be enclosed in parentheses ( ). Since x has a higher priority than the negative sign, inputting would result in the squaring of 2 and then appending a negative sign to the result.
  • Page 51: Function Calculation Input Ranges And Precision

    Function Calculation Input Ranges and Precision Functions Input Range 0 ≦ |x| < 9 × 10 0 ≦ |x| < 157079632.7 sinx 0 ≦ |x| < 1 × 10 cosx Same as sinx, except when |x| = (2n-1) × Same as sinx, except when |x| = (2n-1) × tanx π/2.
  • Page 52 0 ≦ x ≦ 69 (x is an integer) 0 ≦ n < 1 × 10 , 0 ≦ r ≦ n (n, r are integers) 1 ≦ {n!/(n-r)!} < 1 × 10 0 ≦ n < 1 × 10 , 0 ≦...
  • Page 53: Specifications

    8 " (D) Approximate Weight: 105 g (3.7 oz) including the battery Verifying the Authenticity of Your Calculator Use the steps below to verify that your calculator is a genuine CASIO calculator. 1. Press 2. Press • This displays the information below.
  • Page 54 4. Follow the instructions on the display to verify the authenticity of your calculator. Press to return to the mode menu.
  • Page 55: Frequently Asked Questions

    (Setup) (Yes). ■ When I execute a function calculation, why do I get a calculation result that is completely different from older CASIO calculator models? → With a Natural Textbook Display model, the argument of a function that uses parentheses must be followed by a closing parenthesis. Failing to...
  • Page 56 Older (S-V.P.A.M.) Model: 15.5 Natural Textbook Display Model: (LineIO) 15.5 Failure to press here as shown below will result in calculation of sin 0.7071067812...
  • Page 57 © 2020 CASIO COMPUTER CO., LTD.

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