Casio fx-82ZA PLUS, User Manual

Page 1: ...EN https edu casio com CASIO Worldwide Education Website https world casio com manual calc Manuals are available in multi languages at User s Guide NATURAL V P A M fx 82ZA PLUS II...

Page 2: ...c Input Rules 15 Inputting with Natural Display 16 Form Calculation Range 16 Using Values and Expressions as Arguments Natural Display only 17 Overwrite Input Mode Linear Display only 18 Correcting an...

Page 3: ...Data 37 Statistics Calculation Screen 38 Using the Statistics Menu 38 Calculating Estimated Values 43 Creating a Numerical Table from Two Functions TABLE 44 Base n Calculations BASE N 46 Specifying th...

Page 4: ...Specifications 59 Verifying the Authenticity of Your Calculator 59 Frequently Asked Questions 61 Frequently Asked Questions 61 3...

Page 5: ...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 t...

Page 6: ...tery life may be shorter than normal Do not use a nickel based primary battery with this product Incompatibility between such batteries and product specifications can result in shorter battery life an...

Page 7: ...ess 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 k...

Page 8: ...l cursor key operation is indicated as and Reading the Display The two line display makes it possible to view both the input expression and its result at the same time 1 Input expression 2 Calculation...

Page 9: ...cator appears after you press STO RCL The calculator is standing by for input of a variable name to recall the variable s value This indicator appears after you press STAT The calculator is in the STA...

Page 10: ...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 correspond...

Page 11: ...Generation of a numerical table based one or two functions TABLE Calculations involving specific number systems binary octal decimal hexadecimal BASE N Ratio calculations RATIO Note The initial defau...

Page 12: ...ional 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 MthIO LineO displ...

Page 13: ...Specifying the Number Format Specifies the number of digits for display of a calculation result To specify this Perform this key operation Number of Decimal Places SETUP Fix Number of Significant Dig...

Page 14: ...exponential format Norm 1 10 2 x x 1010 Norm 2 10 9 x x 1010 Example LineIO 1 200 5 10 3 Norm 1 0 005 Norm 2 Specifying the Fraction Display Format To specify this fraction display format Perform thi...

Page 15: ...T 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 setting...

Page 16: ...tely before sin or other function that includes parentheses immediately before the Ran random number function or immediately before a variable A B C D E F M X Y scientific constants or e 3 The closing...

Page 17: ...of an input expression to be greater than one display line The maximum allowable height of an input expression is two display screens 31 dots 2 Further input will become impossible if the height of t...

Page 18: ...ument of a function After you have input 7 6 for example you can make it the argument of resulting in 7 6 Example To input 1 7 6 and then change it to 1 7 6 MthIO MathO 1 7 6 INS As shown above the va...

Page 19: ...Display to Natural Display will automatically switch to the insert mode Correcting and Clearing an Expression To delete a single character or function Move the cursor so it is directly to the right of...

Page 20: ...raction form and decimal form its form and decimal form or its form and decimal form Example 1 6 1 6 0 5235987756 MthIO MathO 6 1 6 0 5235987756 Example 2 2 2 3 6 2 3 5 913591358 MthIO MathO 2 2 3 6 2...

Page 21: ...ion result in decimal form a calculation that results in a form or form expression a division calculation Pressing after that will switch to the fraction form or form of the calculation result The for...

Page 22: ...of 880 is 660 75 660 880 75 Example 3 Increase 2500 by 15 2875 2500 2500 15 2875 Example 4 Decrease 3500 by 25 2625 3500 3500 25 2625 Degree Minute Second Sexagesimal Calculations You can perform calc...

Page 23: ...ou 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 3 3 3 6 9 Using Engineering Notation A simple key ope...

Page 24: ...to X If a R calculation is part of a multi step calculation only the quotient is passed on to the next operation Example 10 17 R 6 10 2 12 Operation of the and keys is disabled while a remainder divi...

Page 25: ...tion result display Pressing FACT or Pressing any of the following keys or Using the setup menu to change the angle unit setting Deg Rad Gra or the display digits setting Fix Sci Norm Note You will no...

Page 26: ...3 2 14 Continuing 7 5 Using Memory Functions Answer Memory Ans Previous Answer Memory PreAns The last calculation result obtained is stored in Ans answer memory The calculation result obtained prior t...

Page 27: ...tions shown below 123 456 579 Continuing 789 Using PreAns Memory Example For Tk 2 Tk 1 Tk Fibonacci sequence determine the sequence from T1 to T5 Note however that T1 1 and T2 1 T1 1 1 Ans T1 1 T2 1 1...

Page 28: ...of variable A by 10 Continuing A 10 80 To recall the contents of variable A Continuing A 8 To clear the contents of variable A 0 STO A 0 Independent Memory M You can add calculation results to or sub...

Page 29: ...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 ca...

Page 30: ...ess Pi Natural Logarithm Base e is displayed as 3 141592654 but 3 14159265358980 is used for internal calculations e is displayed as 2 718281828 but e 2 71828182845904 is used for internal calculation...

Page 31: ...Note that the input method is different depending upon whether you are using Natural Display or Linear Display Example To calculate e5 2 to three significant digits Sci 3 SETUP Sci MthIO MathO 5 2 2...

Page 32: ...100 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 2 103 1200 MthIO Math...

Page 33: ...input in consecutive sequence x2 x3 x 1 If you input 2 for example the final will be ignored To input 222 input 2 press the key and then press MthIO MathO Rectangular Polar Coordinate Conversion Pol c...

Page 34: ...tes 2 2 to polar coordinates Angle unit Deg MthIO MathO Pol 2 2 r 2 45 LineIO Pol 2 2 r 2 45 Example 2 To convert polar coordinates 2 45 to rectangular coordinates Angle unit Deg MthIO MathO Rec 2 45...

Page 35: ...e are for illustrative purposes only Actual results will differ 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 To ge...

Page 36: ...yed value and the calculator s internal value become 3 333 Because of this a series of calculations will produce different results depending on whether Rnd is used Rnd 10 3 3 9 999 or not used 10 3 3...

Page 37: ...n in parentheses Press this key Single variable X 1 VAR Paired variable X Y linear regression y A Bx A BX Paired variable X Y quadratic regression y A Bx Cx2 _ CX2 Paired variable X Y logarithmic regr...

Page 38: ...t the quantity frequency of identical data items Display of the FREQ column can be turned on displayed or off not displayed using the Stat Format setting on the setup menu Example 1 To select linear r...

Page 39: ...ts In the Statistics Editor perform the following key operation STAT Edit Del A Statistics Calculation Screen The Statistics Calculation Screen is for performing statistical calculations with the data...

Page 40: ...e Reg Display the Reg sub menu of commands for regression calculations For details see Commands when Linear Regression Calculation A BX Is Selected and Commands when Quadratic Regression Calculation _...

Page 41: ...When you want to obtain this minX Minimum value maxX Maximum value Q1 First quartile med Median Q3 Third quartile Commands when Linear Regression Calculation A BX Is Selected Sum Sub menu STAT Sum Se...

Page 42: ...on of the X data y Mean of the Y data y Population standard deviation of the Y data sy Sample standard deviation of the Y data Reg Sub menu STAT Reg Select this menu item When you want to obtain this...

Page 43: ...C of the regression coefficients x 1 Estimated value of x1 x 2 Estimated value of x2 y Estimated value of y Note x x 1 x 2 and y are not variables They are commands of the type that take an argument...

Page 44: ...ient 0 998 Logarithmic Regression Formula y 3857 984 2357 532lnx Calculating Estimated Values Based on the regression formula obtained by paired variable statistical calculation the estimated value of...

Page 45: ...n the format f x and the other in the format g x Be sure to input the X variable X when generating a numerical table Any variable other than X is handled as a constant If you are using a single functi...

Page 46: ...Inputting the Step value and pressing generates and displays the numerical table in accordance with the parameters you specified Pressing while the numerical table screen is displayed will return to...

Page 47: ...ion is deleted whenever you display the setup menu in the TABLE Mode and switch between Natural Display and Linear Display Base n Calculations BASE N Press BASE N to enter the BASE N Mode when you wan...

Page 48: ...ranges is 16 bits for binary values and 32 bits for other types of values The following shows details about input and output ranges Base n Mode Input Output Ranges Binary 0000000000000000 x 0111111111...

Page 49: ...EX 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 oper...

Page 50: ...1010 0000000000011011 Example 3 To determine the logical XOR of 10102 and 11002 10102 xor 11002 1010 BASE xor 1100 0000000000000110 Example 4 To determine the logical XNOR of 11112 and 1012 11112 xnor...

Page 51: ...tep 1 and then input the following for the coefficients a 3 b 8 d 12 3 8 12 To change a coefficient value you already have input move the cursor to the appropriate cell input the new value and then pr...

Page 52: ...rom 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 r...

Page 53: ...e calculation screen 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 inpu...

Page 54: ...eeded Action Simplify the calculation expression so it does not exceed the capacity of the stack Try splitting the calculation into two or more parts Syntax ERROR Cause There is a problem with the for...

Page 55: ...tion functions are operating correctly If the calculator discovers any abnormality it automatically initializes the calculation mode and clears memory contents For details about initialized settings s...

Page 56: ...lations 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 re...

Page 57: ...ve sign to the result Always keep the priority sequence in mind and enclose negative values in parentheses when required Calculation Ranges Number of Digits and Precision The calculation range number...

Page 58: ...2n 1 2 Gra 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 1099 sinhx coshx 0 x 230 2585092 sinh 1 x 0 x 4 999999999 1099 cosh 1 x 1 x 4 999999999 1099 tanhx 0 x 9 9...

Page 59: ...of 1 at the second decimal place x 1 10100 Decimal Sexagesimal Conversions 0 0 0 x 9999999 59 59 xy x 0 1 10100 ylogx 100 x 0 y 0 x 0 y n m 2n 1 m n are integers However 1 10100 ylog x 100 x y y 0 x...

Page 60: ...alculation error can make it impossible to display some calculation results in form It also can cause calculation results that should be in decimal form to appear in form Specifications Power Requirem...

Page 61: ...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...

Page 62: ...formed Use this memory to carry the result of one calculation on to the next PreAns Memory Stores the result of calculation before the last one PreAns memory can be used only in the COMP Mode Independ...

Page 63: ...ay 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 30 15 15 5 Natural Textbook Display Model LineIO 30 15 15 5 Failur...

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