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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)

(a:b=X:d)

1

2

10

Example 2:

To calculate X in the ratio 1 : 2 = 10 : X

(RATIO)

(a:b=c:X)

1

2

10

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Содержание fx-82ZA PLUS

Страница 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...

Страница 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...

Страница 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...

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

Страница 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...

Страница 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...

Страница 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...

Страница 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...

Страница 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...

Страница 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...

Страница 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...

Страница 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...

Страница 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...

Страница 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...

Страница 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...

Страница 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...

Страница 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...

Страница 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...

Страница 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...

Страница 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...

Страница 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...

Страница 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...

Страница 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...

Страница 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...

Страница 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...

Страница 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...

Страница 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...

Страница 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...

Страница 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...

Страница 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...

Страница 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...

Страница 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...

Страница 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...

Страница 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...

Страница 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...

Страница 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...

Страница 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...

Страница 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...

Страница 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...

Страница 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 _...

Страница 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...

Страница 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...

Страница 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...

Страница 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...

Страница 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...

Страница 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...

Страница 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...

Страница 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...

Страница 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...

Страница 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...

Страница 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...

Страница 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...

Страница 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...

Страница 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...

Страница 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...

Страница 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...

Страница 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...

Страница 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...

Страница 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...

Страница 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...

Страница 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...

Страница 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...

Страница 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...

Страница 64: ...2020 CASIO COMPUTER CO LTD...

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