Casio FX-100AU PLUS User Manual
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Casio FX-100AU PLUS User Manual

2nd edition / natural- v.p.a.m.
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fx-100AU PLUS
(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-100AU PLUS

  • Page 1 PLUS (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............ 4 About this Manual..................4 Initializing the Calculator................4 Precautions....................4 Safety Precautions..................4 Handling Precautions..................5 Getting Started..................5 Removing the Hard Case................5 Turning Power On and Off................6 Adjusting Display Contrast................6 Key Markings....................
  • Page 3 Function Calculations............30 Pi (π), Natural Logarithm Base e............30 Trigonometric Functions................ 30 Hyperbolic Functions................30 Angle Unit Conversion................31 Exponential Functions................31 Logarithmic Functions................31 Power Functions and Power Root Functions.........32 Rectangular-Polar Coordinate Conversion..........33 Factorial Function (!)................34 Absolute Value Function (Abs)...............34 Random Number (Ran#)................34 Random Integer (RanInt#)..............
  • Page 4 Before Assuming Malfunction of the Calculator........62 Replacing the Battery................62 Calculation Priority Sequence..............63 Calculation Ranges, Number of Digits, and Precision......64 Calculation Range and Precision..............64 Function Calculation Input Ranges and Precision........65 Specifications..................67 Verifying the Authenticity of Your Calculator.......... 67 Frequently Asked Questions..........69 Frequently Asked Questions..............69...

  • Page 5: 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 6: Handling Precautions

    Replace the battery immediately after display figures become dim. fx-100AU PLUS: 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 7: 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 8: Reading The Display

    Example: (sin )* 1 * Indicates the function that is accessed by the key operation ( ) before it. Note that this is not part of the actual key operation you perform. • The following shows an example of how a key operation to select an on- screen menu item is represented in this manual.
  • Page 9 Display indicators 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. 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.

  • Page 10: Using Menus

    The display currently shows an intermediate result Disp of a multi-statement calculation. Important! • For some type of calculation that takes a long time to execute, the display may show only the above indicators (without any value) while it performs the calculation internally.

  • Page 11: 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) Complex number calculations (CMPLX) Statistical and regression calculations...
  • Page 12 Specifying the Display Format To specify this Perform this key operation: display format: Natural Display (SETUP) (MthIO) (MathO) (MthIO-MathO) 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.
  • Page 13 LineIO (Number Format: Norm 1) Note • The calculator switches to Linear Display automatically whenever you enter the STAT, BASE-N, or VECTOR Mode. Specifying the Default Angle Unit To specify this as the Perform this key operation: default angle unit: Degrees (SETUP) (Deg)
  • Page 14 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: (LineIO) 1 ÷ 7 = 1.4286 × 10 (Sci 5) 1.429 ×...

  • Page 15: Initializing Calculator Settings

    Hide FREQ Column (SETUP) (STAT) (OFF) Specifying the Decimal Point Display Format Specifies whether to display a dot or a comma for the calculation result decimal point. A dot is always displayed during input. To specify this decimal point Perform this key operation: display format: Dot (.) (SETUP)
  • Page 16 Complex Number a+bi Format Stat Format Decimal Point...

  • Page 17: 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 18 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 19: 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 20: 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 21 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 22: 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 23: 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 24: 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 25: 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 26: 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 27: 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 28 Inputting Ans Memory Contents into an Expression Example: To perform the calculations shown below: (MthIO-LineO) (Continuing) 789 Using PreAns Memory Example: For T (Fibonacci sequence), determine the sequence from T to T . Note however, that T = 1 and T = 1.

  • Page 29: Variables (A, B, C, D, E, F, M, X, Y)

    Result: The sequence is {1, 1, 2, 3, 5}. 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 30: Clearing The Contents Of All Memories

    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. PreAns memory contents are retained even if you press and turn off the calculator without exiting the COMP Mode.

  • Page 31: 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 32: 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 33: 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 34: 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). • x can be used in complex number calculations.

  • Page 35: Factorial Function (!)

    Example 2: To convert polar coordinates (√2, 45°) to rectangular coordinates (Angle unit: Deg) (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.

  • Page 36: 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 37: 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 38 (cm in) Example 2: To convert 100 g into ounces (LineIO) (CONV) (g oz) Example 3: To convert -31°C into Fahrenheit (LineIO) (CONV) (°C °F) The following shows the two-digit numbers for each of the metric conversion commands. 01: in cm 02: cm in 03: ft m 04: m ft...
  • Page 39 Note • The J cal command performs conversion for values at a temperature of 15°C.

  • Page 40: Using Calculation Modes

    Using Calculation Modes Complex Number Calculations (CMPLX) To perform complex number calculations, first press (CMPLX) to enter the CMPLX Mode. You can use either rectangular coordinates (a+bi) or polar coordinates (r∠θ) to input complex numbers. Complex number calculation results are displayed in accordance with the complex number format setting on the setup menu.

  • Page 41: Cmplx Mode Calculation Examples

    CMPLX Mode Calculation Examples Example 1: (1 - i) i (MthIO-LineO) (Complex number format: a +bi) Example 2: (1 + i) + (1 - i) = -4 - 2i (MthIO-LineO) -4-2i Example 3: To obtain the conjugate complex number of 2 + 3i (Complex number format: a+bi) (CMPLX) (Conjg) 2...

  • Page 42: Statistical Calculations (Stat)

    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 43: 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 44: 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 45 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 46 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 Distr Sub-menu ( (STAT) (Distr)) (P() This menu can be used to calculate the (Q() probability of standard normal distribution.
  • Page 47 (∑x) Sum of the X-data (∑y Sum of squares of the Y-data (∑y) Sum of the Y-data (∑xy) Sum of products of the X-data and Y-data (∑x Sum of cubes of the X-data (∑x Sum of (X-data squares × Y-data) (∑x Sum of biquadrate of the X-data Var Sub-menu (...
  • Page 48 (y ˆ ) Estimated value of Y MinMax Sub-menu ( (STAT) (MinMax)) Select this menu When you want to obtain this: item: (minX) Minimum value of the X-data (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...

  • Page 49: Calculating Estimated Values

    items ({x ; freq } = {1;1, 2;2, 3;3, 4;2, 5;1}), and calculate the mean and population standard deviation. (SETUP) (STAT) (ON) (STAT) (1-VAR) (STAT) (Var) (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 50: Performing Normal Distribution Calculations

    Example 3. Specify Fix 3 for the result. (Perform the following operation after completing the operations in Example 3.) (STAT) (Reg) (x ˆ ) 4.861 Important! • Regression coefficient, correlation coefficient, and estimated value calculations can take considerable time when there are a large number of data items. Performing Normal Distribution Calculations While single-variable statistical calculation is selected, you can perform normal distribution calculation using the functions shown below from the...

  • Page 51: Base-N Calculations (Base-N)

    Results: Normalized variate ( t): -0.762 P(t): 0.223 Base-n Calculations (BASE-N) Press (BASE-N) to enter the BASE-N Mode when you want to perform calculations using decimal, hexadecimal, binary, and/or octal values. The initial default number mode when you enter the BASE-N Mode is decimal, which means input and calculation results use the decimal number format.

  • Page 52: Specifying The Number Mode Of A Particular Input Value

    Note • Use the following keys to input the letters A through F for hexadecimal values: (A), (B), (C), (D), (E), (F). • In the BASE-N Mode, input of fractional (decimal) values and exponents is not supported. If a calculation result has a fractional part, it is cut off. •...

  • Page 53: Logical And Negation Operations

    (DEC) 15 (HEX) 0000022B (BIN) 0000001000101011 (OCT) 00000001053 Logical and Negation Operations Your calculator provides you with logical operators (and, or, xor, xnor) and functions (Not, Neg) for logical and negation operations on binary values. Use the menu that appears when you press (BASE) to input these logical operators and functions.

  • Page 54: Using Verify (Verif)

    Example 2: To determine the logical OR of 1011 and 11010 (1011 11010 1011 (BASE) (or) 11010 0000000000011011 Example 3: To determine the logical XOR of 1010 and 1100 (1010 1100 1010 (BASE) (xor) 1100 0000000000000110 Example 4: To determine the logical XNOR of 1111 and 101 (1111 xnor...

  • Page 55: Expression Input Precautions

    • You can select the equality symbol or inequality symbol from the menu that appears when you press (VERIFY). 3. To verify, press You can input the following expressions for verification in the VERIFY Mode. 3, π > 3, 1 + 2 ≦ 5, (3 × 6) < (2 + 6) × 2, etc. •...

  • Page 56: Verify Mode Calculation Examples

    , cos (8 ≦ 9)) • An expression in which a relational operator is inside of a fraction or function (Example: • An expression in which a relational operator is enclosed in parentheses (Example: 8 < (9 < 10)) in the same direction (Example: 5 ≦ 6 ≧ 4) •...

  • Page 57: Vector Answer Memory

    2. Press (VctA) (2). • This will display the Vector Editor for input of the 2-dimensional vector for VctA. (1) "A" stands for "VctA". 3. Input the elements of VctA: 1 4. Perform the following key operation: (VECTOR) (Data) (VctB) (2).

  • Page 58: Assigning And Editing Vector Variable Data

    . The calculation screen will show the VctAns variable followed by the operator or function for the key you pressed. Assigning and Editing Vector Variable Data Important! • The following operations are not supported by the Vector Editor: (M-), (STO). Pol, Rec, and multi-statements also cannot be input with the Vector Editor.
  • Page 59 Example 3: 3 × VctA (Vector scalar multiplication), 3 × VctA - VctB (Calculation example using VctAns) (VECTOR) (VctA) (VECTOR) (VctB) Example 4: VctA • VctB (Vector dot product) (VECTOR) (VctA) (VECTOR) (Dot) (VECTOR) (VctB) Example 5: VctA × VctB (Vector cross product) (VECTOR) (VctA) (VECTOR)
  • Page 60 (cos...

  • Page 61: 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 62 • 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 63: Before Assuming Malfunction Of The Calculator

    • You are trying to perform a calculation with vectors whose dimensions do not allow that type of calculation. Action: • Specify the dimension of the vector and then perform the calculation again. • Check the dimensions specified for the vectors to see if they are compatible with the calculation.

  • Page 64: Calculation Priority Sequence

    1. Press (OFF) to turn off the calculator. 2. On the back of the calculator, remove the screws and the cover. 3. Remove the battery, and then load a new battery with its plus (+) and minus (-) ends facing correctly. 4.

  • Page 65: Calculation Ranges, Number Of Digits, And Precision

    Metric conversion commands (cm in, etc.), STAT Mode estimated values (x ˆ , y ˆ , x ˆ , x ˆ Multiplication where the multiplication sign is omitted Permutation (nPr), combination (nCr), complex number polar coordinate symbol (∠) Dot product (•) Multiplication (×), division (÷) Addition (+), subtraction (-) and (logical operator)

  • Page 66: Function Calculation Input Ranges And Precision

    In general, ±1 at the 10th digit for a single calculation. Precision for exponential display is Precision ±1 at the least significant digit. Errors are cumulative in the case of consecutive calculations. Function Calculation Input Ranges and Precision Functions Input Range 0 ≦...
  • Page 67 0 ≦ x < 1 × 10 √x |x| < 1 × 10 |x| < 1 × 10 ; x ≠ 0 √x |x| < 1 × 10 0 ≦ x ≦ 69 (x is an integer) 0 ≦ n < 1 × 10 , 0 ≦...

  • Page 68: Specifications

    2 " (H) × 3" (W) × 6 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...
  • Page 69 • This displays the information below. - Calculator ID number (24-character string) - QR Code for accessing the Worldwide Education Service (https://wes.casio.com/calc/) 3. Access the above site. 4. Follow the instructions on the display to verify the authenticity of your calculator.

  • Page 70: 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 71 press after the argument to close the parentheses may cause unwanted values or expressions to be included as part of the argument. Example: (sin 30) + 15 (Angle Unit: Deg) 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 72 © 2020 CASIO COMPUTER CO., LTD.

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