Related Manuals for Casio fx-82ZA PLUS II
Summary of Contents for Casio fx-82ZA PLUS II
- Page 1 PLUS II (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/...
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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 Clearing the Contents of All Memories............28 Function Calculations............29 Pi (π), Natural Logarithm Base e............29 Trigonometric Functions................ 29 Hyperbolic Functions................29 Angle Unit Conversion................30 Exponential Functions................30 Logarithmic Functions................30 Power Functions and Power Root Functions.........31 Rectangular-Polar Coordinate Conversion..........32 Factorial Function (!)................
- Page 4 Specifications..................59 Verifying the Authenticity of Your Calculator.......... 59 Frequently Asked Questions..........61 Frequently Asked Questions..............61...
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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-82ZA PLUS II: Every two 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 or approximately 60 minutes of non-use. Press the key to turn the calculator back Adjusting Display Contrast 1. -
Page 8: Reading The Display
* 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.
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Page 10: Using Menus
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. Using Menus Some of the calculator's operations are performed using menus. Pressing , for example, will display a menu of applicable functions. -
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) Statistical and regression calculations (STAT) Generation of a numerical table based one or... - 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 or BASE-N Mode. Specifying the Default Angle Unit To specify this as the Perform this key operation: default angle unit: Degrees (SETUP) (Deg) Radians...
- 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 ×...
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Page 15: Initializing Calculator Settings
f(x) and g(x) (SETUP) (TABLE) (f(x),g(x)) Specifying the Auto Power Off Setting You can specify a trigger time of 10 minutes or 60 minutes for Auto Power Off. To specify this: Perform this key operation: 10 Minutes (SETUP) (APO) (10Min.) 60 Minutes (SETUP) (APO) -
Page 16: 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 17: Inputting With Natural Display
• When Natural Display is selected, pressing while the cursor is at the end of the input calculation will cause it to jump to the beginning, while pressing while the cursor is at the beginning will cause it to jump to the end. •... -
Page 18: Using Values And Expressions As Arguments (Natural Display Only)
± a'√b ± d'√e ± a√b, ± d ± a√b, 1 ≦ a < 100, 1 < b < 1000, 1 ≦ c < 100 * The ranges of the coefficients (a, b, c, d, e, f) are as shown below. 0 ≦... -
Page 19: Overwrite Input Mode (Linear Display Only)
Overwrite Input Mode (Linear Display only) You can select either insert or overwrite as the input mode, but only while Linear Display is selected. 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). -
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 While Natural Display is selected, each press of will toggle the currently displayed calculation result between its fraction form and decimal form, its √... -
Page 21: Fraction Calculations
Important! • Depending on the type of calculation result that is on the display when you press the key, the conversion process may take some time to perform. • With certain calculation results, pressing the key will not convert the displayed value. -
Page 22: Percent Calculations
• Fractions in calculation results are displayed after being reduced to their lowest terms. To switch a calculation result between improper fraction and mixed fraction form: (a b c d c ) Perform the following key operation: To switch a calculation result between fraction and decimal form: Press Percent Calculations Inputting a value and pressing... -
Page 23: Multi-Statements
Note • You must always input something for the degrees and minutes, even if they are zero. Example 1: 2°20’30” + 39’30” = 3°00’00” 3°0’0” Example 2: Convert 2°15’18” to its decimal equivalent. 2°15’18” (Converts sexagesimal to decimal.) 2,255 (Converts decimal to sexagesimal.) 2°15’18”... -
Page 24: Remainder Calculations
(←) 0,000123×10 Remainder Calculations You can use the ÷R function to obtain the quotient and remainder in a division calculation. Example: To calculate the quotient and remainder of 5 ÷ 2 (quotient = 2, remainder = 1) (MthIO-MathO) (÷R) 2 (LineIO) (÷R) 2 Note... -
Page 25: Prime Factorization
Prime Factorization In the COMP Mode, a positive integer no more than 10 digits long can be factored to prime factors. 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. -
Page 26: Replay
Example: 1 + 1 = 2 2 + 2 = 4 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) - Page 27 (Continuing) Inputting Ans Memory Contents into an Expression Example: To perform the calculations shown below: (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.
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Page 28: Variables (A, B, C, D, E, F, M, X, Y)
= 3 + 2 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. -
Page 29: Clearing The Contents Of All Memories
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 30: 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 31: 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 32: Power Functions And Power Root Functions
(;) 16 (MthIO-MathO, MthIO-LineO) Example 3: ) = 6 (MthIO-MathO, MthIO-LineO) Example 4: = 8 (MthIO-MathO, MthIO-LineO) Example 5: To calculate ln 90 (= log 90) to three significant digits (Sci 3) (SETUP) (Sci) 4,50×10 Power Functions and Power Root Functions Note that the input methods for , and... -
Page 33: Rectangular-Polar Coordinate Conversion
(MthIO-MathO) 3√2 4,243 (LineIO) 4,243 Example 6: √5 + √-27 = -1,290024053 (LineIO) -1,290024053 Example 7: = 12 (LineIO) Note • The following functions cannot be input in consecutive sequence: x . If you input 2 , for example, the final will be ignored. -
Page 34: Factorial Function (!)
Specify the angle unit before performing calculations. The calculation result for r and θ and for x and y are each assigned Calculation result θ is displayed in the range of -180° < θ ≦ 180°. respectively to variables X and Y. Example 1: To convert rectangular coordinates (√2;... -
Page 35: Random Number (Ran#)
Random Number (Ran#) Function that generates a pseudo random number in the range of 0,000 to 0,999. The result is displayed as a fraction when Natural Display is selected. Example: Generate three 3-digit random numbers. The random 3-digit decimal values are converted to 3-digit integer values by multiplying by 1000. -
Page 36: Rounding Function (Rnd)
Rounding Function (Rnd) The argument of this function is made a decimal value and then rounded in accordance with the current number of display digits setting (Norm, Fix, or Sci). With Norm 1 or Norm 2, the argument is rounded off to 10 digits. With Fix and Sci, the argument is rounded off to the specified digit. -
Page 37: 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 38: 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 39: 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 40 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 41 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 42 (∑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 43 (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...
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Page 44: 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;... -
Page 45: Creating A Numerical Table From Two Functions (Table)
Creating a Numerical Table from Two Functions (TABLE) TABLE generates a numerical table based on one or two functions. You can use the function f(x) or the two functions f(x) and g(x). See "Configuring the Calculator Setup" for more information. Perform the following steps to generate a numerical table. - Page 46 Input the increment step (Default = 1). Note: The Step specifies by how much the Start value should be sequentially incremented as the numerical table is generated. If you Step? specify Start = 1 and Step = 1, X sequentially will be assigned the values 1, 2, 3, 4, and so on to generate the numerical table until the End value is reached.
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Page 47: Base-N Calculations (Base-N)
Note • You can use the numerical table screen for viewing values only. Table contents cannot be edited. • The numerical table generation operation causes the contents of variable X to be changed. • The maximum number of rows in the generated numerical table depends on the setup menu table setting. -
Page 48: Specifying The Number Mode Of A Particular Input Value
Example 2: Continuing from above, switch to the hexadecimal mode and calculate 1F (HEX) 1 Example 3: Continuing from above, switch to the octal mode and calculate 7 (OCT) 7 Note • Use the following keys to input the letters A through F for hexadecimal values: (A), (B), (C),... -
Page 49: Converting A Calculation Result To Another Type Of Value
(DEC) (BASE) (d) 10 (BASE) (h) 10 (BASE) (b) 10 (BASE) (o) 10 Converting a Calculation Result to another Type of Value You can use any one of the following key operations to convert the currently displayed calculation result to another type of value: (DEC) (decimal), (HEX) (hexadecimal),... - Page 50 Logical operator "xnor" (exclusive (xnor) negative logical sum), which returns the result of a bitwise XNOR "Not(" function, which returns the result of (Not) a bitwise complement "Neg(" function, which returns the result of (Neg) a two's complement All of the following examples are performed in the binary mode ( (BIN)).
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Page 51: Ratio Calculations
Ratio Calculations The RATIO Mode 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. The following shows the general procedure for using RATIO. -
Page 52: Changing The Ratio Expression Type
Changing the Ratio Expression Type Re-enter the RATIO Mode and select the ratio expression type you want from the menu that appears. Changing the ratio expression type causes the values of all Coefficient Editor coefficients to change to zero. RATIO Mode Calculation Example Example 1: To calculate X in the ratio 1 : 2 = X : 10 (RATIO) -
Page 53: 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 54 • 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. •...
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Page 55: Before Assuming Malfunction Of The Calculator
Action: • Input only integers for the argument. Before Assuming Malfunction of the Calculator... Perform the following steps whenever an error occurs during a calculation or when calculation results are not what you expected. If one step does not correct the problem, move on to the next step. Note that you should make separate copies of important data before performing these steps. -
Page 56: 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 57: Calculation Ranges, Number Of Digits, And Precision
Multiplication where the multiplication sign is omitted Permutation (nPr), combination (nCr) Multiplication (×), division (÷), remainder calculations (÷R) Addition (+), subtraction (-) and (logical operator) or, xor, xnor (logical operators) Note • When squaring a negative value (such as -2), the value being squared must be enclosed in parentheses ( ). -
Page 58: 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 59 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 60 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 61 - 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. Press to return to the mode menu.
- Page 62 (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 63 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...
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