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Casio fx-991ES PLUS User's Manual

1. e Pressing any one of the following keys while the MatAns screen is displayed will switch automatically to the calculation screen amp Gey 3 x x The calculation screen will show the MatAns variable followed by the operator or function for the key you pressed Assigning and Editing Matrix Variable Data Important The following operations are not supported by the Matrix Editor M M STO Pol Rec and multi statements also cannot be input with the Matrix Editor To assign new data to a matrix variable 1 Press 4 MATRIX Q Dim and then on the menu that appears select the matrix variable to which you want to assign data 2 On the next menu that appears select dimension mxn E 30 3 Use the Matrix Editor that appears to input the elements of the matrix J 2 To assign f i 1 to MatC aA MATRIX D Dim 3 MatC 4 2x3 1680160160160166 To edit the elements of a matrix variable 1 Press 4 MATRIX 2 Data and then on the menu that appears select the matrix variable you want to edit 2 Use the Matrix Editor that appears to edit the elements of the matrix e Move the cursor to the cell that contains the element you want to change input the new value and then press To copy matrix variable or MatAns contents 1 Use the Matrix Editor to display the matrix you want to copy e lf you want to copy MatA for example perform the following key operation 4
2. Calculation Range 1 x 10 to 9 999999999 x 109 or O Number of Digits for Internal PER Calculation ie Precision In general 1 at the 10th digit for a single calculation Precision for exponential display is 1 at the least significant digit Errors are cumulative in the case of consecutive calculations Function Calculation Input Ranges and Precision Functions input Range pow DEG 0 x lt 9x 10 sinx RAD 0 x lt 157079632 7 o pe osu enar cosx EG Same as sinx except when x 2n 1 x 90 tanx RAD Same as sinx except when x 2n 1 x 7 2 Same as sinx except when x 2n 1 x 100 0s 0 x 9 999999999 x 10 sinh x x 4 999999999 x 10 x 4 999999999 x 10 0 x 9 999999999 x 10 E 38 x 230 2585092 x 1 0 x 9 999999999 x 107 be lt 1 x 101 x0 x lt 1 x 101 O0sn lt 1x10 0SrZn n r are integers 1 lt n n r lt 1 x 101 nPr c O0Sn lt 1x10 0SrZn n r are integers Wee Tenlri lt 1x10 or 1 lt n n r lt 1 x101 g ixl y 9 999999999 x 10 olx y ery 9 999999999 x 10 0 r lt 9 999999999 x 10 Rec r 0 0 Same as sinx lal b c lt 1 x10 pap 0 5 The display seconds value is subject to an error of 1 at the second decimal place ie To PE Decimal Sexagesimal Conversions 0 0 0 x 9999999 59 59 x gt 0 1 x 101 lt ylogx lt 100 x 0 y gt 0 i x lt 0 y n nsi m n are
3. Input an initial value for X Here input 1 1 S782 S136 Statistical Calculations STAT To start a statistical calculation perform the key operation B 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 Regression formula shown in parentheses Single variable X 1 1 VAR Paired variable X Y linear regression y A Bx 2 A BX Paired variable X Y quadratic regression 2 y A Bx Cx me Paired variable X Y logarithmic regression y A Bin E X Paired variable X Y e exponential regression p g y Ae 5 eX Paired variable X Y ab exponential regression y AB Paired variable X Y power regression y Ax A X B Paired variable X Y inverse regression y A B BOM Pressing any of the above keys C to 8 displays the Stat Editor Note When you want to change the calculation type after entering the STAT Mode perform the key operation 1 STAT 1 Type to display the calculation type selection screen Press this key 6 A B4X Inputting Data Use the Stat Editor to input data Perform the following key operation to display the Stat Editor 1 STAT 2 Data The Stat Editor provides 80 rows for data input when there is an X column only 40 rows when there are X and FREQ columns or X and Y columns or 26 r
4. constant or symbol Purple or enclosed in purple brackets Enter the CMPLX Mode to access the function Green or enclosed in green brackets Enter the BASE N Mode to access the function Reading the Display The display of the calculator shows expressions you input calculation results and various indicators Input expression ne r 2 8 45 r 0 0 7853981 Calculation result e If a gt indicator appears on the right side of the calculation result it means the displayed calculation result continues to the right Use and to scroll the calculation result display e If a gt indicator appears on the right side of the input expression it means the displayed calculation continues to the right Use and to scroll the input expression display Note that if you want to scroll the input expression while both the and gt indicators are displayed you will need to press first and then use and to scroll Display indicators rns Means this indicator The keypad has been shifted by pressing the key The S keypad will unshift and this indicator will disappear when you press a key The alpha input mode has been entered by pressing the Al key The alpha input mode will be exited and this indicator will disappear when you press a key M There is a value stored in independent memory The calculator is standing by for input of a variable name to STO assign a value to the variable This indicator appears a
5. first press 2 CMPLX to enter the CMPLX Mode You can use either rectangular coordinates a bi or polar coordinates 726 to input complex numbers Complex number calculation results are displayed in accordance with the complex number format setting on the setup menu L 2 61 2i 3 i Complex number format a bi Am E E ya e abe 3 i L 2245 V2 V2i GY CEJ Complex number format a bi 2 H O 4 45 E V2 v2i L v2 V2i 2 245 MMI CZJ Complex number format 720 Va 2 P Ws 2 fxg 7 amp 2245 Note e If you are planning to perform input and display of the calculation result in polar coordinate format specify the angle unit before starting the calculation The 0 value of the calculation result is displayed in the range of 180 lt 0 180 Display of the calculation result while Linear Display is selected will show a and bi or r and 0 on separate lines CMPLX Mode Calculation Examples L 1 i 14 ti CEG Complex number format a bi 01 amp mova e L 0 i a i 0 A OA md a o G Mmd aG 0 1 gt N To obtain the conjugate complex number of 2 3i Complex number format a bi 2 CMPLX 2 Conjg 2 H 3 m 7 O amp 2 31 L To obtain the absolute value and argument of 1 i QZ DEE Absolute Value fw Abs 1 mS v2 Argument 2 CMPLX C arg 1 amp 0 E 45 Using a Command to Specify the Calculation Result Format Either of two special commands gt r lt 0 o
6. i 263081828 r 2030081028 ma 28301828 7 16 LINE 46381828 142 Note e Mixing fractions and decimal values in a calculation while Linear Display is selected will cause the result to be displayed as a decimal value e Fractions in calculation results are displayed after being reduced to their lowest terms To switch a calculation result between improper fraction and mixed fraction format Perform the following key operation g a2 2 To switch a calculation result between fraction and decimal format Press 0 E 10 Percent Calculations Inputting a value and pressing causes the input value to become a percent L 150 x 20 30 150 X 20 r O 5 30 L Calculate what percentage of 880 is 660 75 660 880 75 L Increase 2500 by 15 2875 2500 4 2500 X 15 2875 ZG Discount 3500 by 25 2625 3500 3500 X 25 2625 Degree Minute Second Sexagesimal Calculations Performing an addition or subtraction operation between sexagesimal values or a multiplication or division operation between a sexagesimal value and a decimal value will cause the result to be displayed as a sexagesimal value You also can convert between sexagesimal and decimal The following is the input format for a sexagesimal value degrees minutes seconds f Note You must always input something for the degrees and minutes even if they are zero f 2 20 30 39 30 3 00 00 2 E 20 E3 30 EJ
7. 06339633063 E 3 00 L Convert 2 15 18 to its decimal equivalent 26 15641864 E 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 L 3 3 3x3 3 30 3 386 6 E 9 Using Engineering Notation A simple key operation transforms a displayed value to engineering notation Transform the value 1234 to engineering notation shifting the decimal point to the right 1234 1234 Eng 1 234x10 Eg 1234x10 rA Transform the value 123 to engineering notation shifting the decimal point to the left 123 123 fg e 0 123x10 Ex lt 0 000123x10 Calculation History In the COMP CMPLX or BASE N Mode the calculator remembers up to approximately 200 bytes of data for the newest calculation You can scroll through calculation history contents using and L 1 1 2 1018 2 2 4 2028 3 3 6 3 H3 Scrolls back Scrolls back again NO amp Oo BN Note Calculation history data is all cleared whenever you press on when you change to a different calculation mode when you change the display format or whenever you perform any reset operation Replay While a calculation result is on the display you can press or to edit the expression you used for the previous calculation GO 4x3 25 145 MA 4
8. 15 r To recall the contents of M Continuing w M 35 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 ac change the calculation mode or turn off the calculator Perform the following procedure when you want to clear the contents of all memories 9 CLR 2 Memory Yes Function Calculations For actual operations using each function see the Examples section following the list below T T is displayed as 3 141592654 but n 3 14159265358980 is used for internal calculations e e is displayed as 2 718281828 but e 2 71828182845904 is used for internal calculations sin cos tan sin cos tan Trigonometric functions Specify the angle unit before performing calculations See 1 sinh cosh tanh sinh cosh tanh Hyperbolic functions Input a function from the menu that appears when you press fy The angle unit setting does not affect calculations See 2 9 These functions specify the angle unit specifies degrees radians and 9 grads Input a function from the menu that appears when you perform the following key operation Mn DRG gt See 10 e Exponential functions Note that the input method is different depending upon whether you are using Natural Display or Linear Display See 4 log Logarithmic function Use the key to input log
9. 2 O GB 0 5 Ao x 1 20 math EEC e oo OX 11056 20 ma SHFT o E PH O X GE 1 GF O 1 HF 0 5 0 B 20 Ai To convert rectangular coordinates V2 V2 to polar coordinates Deg CXS en GE Pol a 2 SF 0 I 2 O E r 2 6 45 m e GE Pol fs 2 O A O1 20 OO amp r 2 0 45 To convert polar coordinates V2 45 to rectangular coordinates Deg CAI En Rec va 2 er 0 45 0E X 1 Y 1 G12 5 3 40320 O05 e 3D en amp x amp 40320 JA3 l2 7 x2 10 MATH r tye Abs 2 7 x 2 E 10 LINE srt ty Abs 2 7 O K 2 E 10 4 To obtain three random three digit integers 1000 CJ Ran E 459 B 48 B 117 Results shown here are for illustrative purposes only Actual results will differ As To generate random integers in the range of 1 to 6 ue C Ranint 1 e OJ 6 O amp 2 6 1 Results shown here are for illustrative purposes only Actual results will differ A To determine the number of permutations and combinations possible when selecting four people from a group of 10 Permutations 10 X nPr 4 EB 5040 Combinations 10 nCr 4 B 210 JAT To perform the following calculations when Fix 3 is selected for the number of display digits 10 3 x 3 and Rnd 10 3 x3 MA SHR mo SETUP 6 Fix 3 1030 B 10 000 fA 0 Rnd 10 E3 0 A 3EB 9 999 Complex Number Calculations CMPLX To perform complex number calculations
10. See p23 5 Function that for a specified range of f x determines sum 2 F fla flat 1 fla 2 fb Natural Display input syntax is z f x while Linear Display input syntax is X x a b a and b are integers that can be specified within the range of 1 x 10 lt a b lt 1 x 10 See Ao Note The following cannot be used in f x a or b Pol Rec J d dx Pol Rec Pol converts rectangular coordinates to polar coordinates while Rec converts polar coordinates to rectangular coordinates See A1 Pol x y r 0 Rec r 0 x y Specify the angle unit before performing calculations The calculation result for r and 0 and for x and y are each assigned respectively to variables X and Y X Calculation result 0 is displayed Rectangular Polar in the range of 180 lt 0 S Coordinates Rec Coordinates Pol 180 E 14 x Factorial function See An Abs Absolute value function Note that the input method is different depending upon whether you are using Natural Display or Linear Display See A3 Ran Generates a 3 digit pseudo random number that is less than 1 The result is displayed as a fraction when Natural Display is selected See A4 Ranint For input of the function of the form RanInt a b which generates a random integer within the range of a to b See Js nPr nCr Permutation nPr and combination nCr functions See As Rnd The argument of this function
11. b as log a b Base 10 is the default setting if you do not input anything for a The key also can be used for input but only while Natural Display is selected In this case you must input a value for the base See f In Natural logarithm to base e See s x x x vm V Va x7 Powers power roots and reciprocals Note that the input methods for x Vm Vm and Vo are different depending upon whether you are using Natural Display or Linear Display See Pa Note The following functions cannot be input in consecutive sequence x XLIR a If you input 2 x xJ for example the final x will be ignored To input 92 input 20A press the key and then press J Jm Function for performing numerical integration using the Gauss Kronrod method Natural Display input syntax is f feo while Linear Display input syntax is fe F x a b tol tol specifies tolerance which becomes 1 x 10 when nothing is input for tol Also see Integration and Differential Calculation Precautions and Tips for Successful Integration Calculations for more information See La ou Function for approximation of the derivative based on the central difference method Natural Display input syntax is FOI ecu while Linear Display input syntax is Li f x a tol tol specifies tolerance which becomes 1 x 107 when nothing is input for tol Also see Integration and Differential Calculation Precautions for more information
12. bi or polar coordinates 720 for EQN Mode solutions 4 STAT OON 2JOFF Specifies whether or not to display a FREQ frequency column in the STAT Mode Stat Editor 5 Disp 1 Dot 2 Comma _ Specifies whether to display a dot or a comma for the calculation result decimal point A dot is always displayed during input Note When dot is selected as the decimal point the separator for multiple results is a comma When comma is selected the separator is a semicolon 6 CONT Adjusts display contrast See Adjusting Display Contrast for details E 6 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 9 CLR 4 Setup Yes Inputting Expressions and Values Basic Input Rules Calculations can be input in the same form as they are written When you press Z the priority sequence of the input calculation will be evaluated automatically and the result will appear on the display GQ 4x sin30 x 30 10 x 3 120 4 X sin 30 O amp CO 30 10 x 3D B 7 120 1 Input of the closing parenthesis is required for sin sinh and other functions that include parentheses 2 These multiplication symbols x can be omitted A multiplication symbol can be omitted when it occurs immediately before an openin
13. for details 2 To input the single variable data x 1 2 2 3 3 3 4 4 5 using the FREQ column to specify the number of repeats for each items xn freqn 131 232 3 3 4 2 5 1 and calculate the mean and population standard deviation woot SETUP A STAT 4 ON 3 STAT 1 1 VAR 12 3se4E5eO 16826362B BMD STAND Van DOS 0 STAT 4 Var 8 von E 1 154700538 Results Mean 3 Population Standard Deviation 1 154700538 L 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 Specify Fix 3 three decimal places for results SETUP 4 STAT 2 OFF wove SETUP 6 Fix 3 3 STAT 2 A BX 20 E 110 E 200 290 E OO 3150 7310 8800 9310 0J STAT 8 Reg 3 r 0 923 QJ STAT Q Type 4 In X 0J STAT 8 Reg 3 r E 0 998 G1 STAT 5 Reg GJ A amp 0057 904 G1 STAT 5 Reg 2 B amp edo oe Results Linear Regression Correlation Coefficient 0 923 Logarithmic Regression Correlation Coefficient 0 998 Logarithmic Regression Formula y 3857 984 2357 532Inx E 24 Calculating Estimated Values Based on the regression formula obtained by paired variable statistical calculation the estimated value of y ca
14. integers However 1 x 101 lt ylog x lt 100 x y gt 0 x 0 1 x 10 lt 1 x logy lt 100 y 0 x gt 0 y lt 0 x 2n 1 anl m 0 m n are integers However 1 x 10 lt 1 x log y lt 100 Total of integer numerator and denominator must be 10 digits or less including division marks Ranint a b a lt b lal b lt 1 x 101 b a lt 1x10 e Precision is basically the same as that described under Calculation Range and Precision above e Vy 3V xl nPr nCr type functions require consecutive internal calculation which can cause accumulation of errors that occur with each calculation e Error is cumulative and tends to be large in the vicinity of a function s singular point and inflection point Y b le a E 39 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 amp or to display the location of the error or pressing to clear the message and calculation Displaying the Location of an Error While an error message is displayed press amp or to return to the 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 L When you input 14 0 x 2 by mistake instead of 14 10 x 2 Math D Math ERROR 14 0
15. product VctA X VctB Vj 6 Obtain the absolute values of VctC veTO fa Abs vetc oy o HbStvetl L 7 Determine the angle formed by VctA and VctB to three decimal places Fix 3 RZJ A B A B F _ which becomes 0 cos IA IB ATIB wove SETUP 6 Fix 3 O Veta mF E VECTOR 7 Dot Vete Q E cos 0 vVcCT FIX fya Abs VetA O SH typ Abs CVctA Vcetbi CAbe vB ODE 0 984 VCTH FIX cos m 0 E cos tans 10 305 Scientific Constants Your calculator comes with 40 built in scientific constants that can be used in any mode besides BASE N Each scientific constant is displayed as a unique symbol such as r which can be used inside of calculations To input a scientific constant into a calculation press CONST and then input the two digit number that corresponds to the constant you want E 35 To input the scientific constant Co speed of light in a vacuum and display its value CONS TAHT CONST Number 01 407 _ 2 8 Co E 299792458 V4 To calculate Co on MATH oq 1 Ge e A CONST o 2 eo 4 7 CONST 3 8 uc E 4io0 l0 299792450 The following shows the two digit numbers for each of the scientific constants 01 mp proton mass 03 me electron mass 05 ao Bohr radius 07 uN nuclear magneton 09 h Planck constant rationalized 11 re classical electron radius 13 yp prot
16. the argument of the calculation you are performing Action Make necessary corrections Dimension ERROR MATRIX and VECTOR Modes only Cause The matrix or vector you are trying to use in a calculation was input without specifying its dimension You are trying to perform a calculation with matrices or vectors whose dimensions do not allow that type of calculation Action Specify the dimension of the matrix or vector and then perform the calculation again e Check the dimensions specified for the matrices or vectors to see if they are compatible with the calculation Variable ERROR SOLVE feature only Cause You did not specify a solution variable and there is no X variable in the equation you input e The solution variable that you specified is not included in the equation you input Action The equation you input must include an X variable when you do not specify the solution variable e Specify a variable that is included in the equation you input as the solution variable Can t Solve Error SOLVE feature only Cause The calculator could not obtain a solution Action Check for errors in the equation that you input Input a value for the solution variable that is close to the expected solution and try again Insufficient MEM Error Cause The configuration of TABLE Mode parameters caused more than 30 X values to be generated for a table Action Narrow the table calculation range by changing the Start End
17. use the number table screen for viewing values only Table contents cannot be edited e The number table generation operation causes the contents of variable X to be changed Important The function you input for number table generation is deleted whenever you display the setup menu in the TABLE Mode and switch between Natural Display and Linear Display Vector Calculations VECTOR Use the VECTOR Mode to perform 2 dimensional and 3 dimensional vector calculations To perform a vector calculation you first assign data to special vector variables VctA VctB VctC and then use the variables in the calculation as shown in the example below fA To assign 1 2 to VctA and 3 4 to VctB and then perform the following calculation 1 2 3 4 1 Press VECTOR to enter the VECTOR Mode 2 Press O0 VctA 2 2 e This will display the Vector Editor for input of the 2 dimensional vector for VctA A stands for VctA 3 Input the elements of VctA 1 B 2 4 Perform the following key operation 5 VECTOR 2 Data 2 VctB 2 2 e This will display the Vector Editor for input of the 2 dimensional vector for VctB 5 Input the elements of VctB 3 4 B 6 Press to advance to the calculation screen and perform the calculation VctA VctB 5 VECTOR 8 VctA 4 5 VECTOR 4 VctB e This will display the VctAns screen with the calculation results vcTo veTO An Ans s
18. 030256 145 4x3 7 1 4 9 Continuing 7 1 E 4 9 Note If you want to edit a calculation when the P indicator is on the right side of a calculation result display see Reading the Display press and then use and to scroll the calculation Answer Memory Ans The last calculation result obtained is stored in Ans answer memory Ans memory contents are updated whenever a new calculation result is displayed To divide the result of 3x 4 by 30 ENA see 1a 1D A Continuing 30 J 123 456 579 MI 123 H456 E M 789 579 210 Continuing 789 amp rs E Variables A B C D E F X Y Your calculator has eight preset variables named A B C D E F X and Y You can assign values to variables and also use the variables in calculations L To assign the result of 3 5 to variable A 3 H 5 Er Rot STO A 8 L To multiply the contents of variable A by 10 Continuing O4 10 E 80 V4 To recall the contents of variable A Continuing O A 8 V4 To clear the contents of variable A 0 Ret STO A 0 Independent Memory M You can add calculation results to or subtract results from independent memory The M appears on the display when there is any value other than zero stored in independent memory V4 To clear the contents of M 0 Rey STO M M 0 L To add the result of 10 x 5 to M Continuing 10 k 5 50 L To subtract the result of 10 5 from M Continuing 10 5 M
19. 1 Press 5 VECTOR 2 Data and then on the menu that appears select the vector variable you want to edit 2 Use the Vector Editor that appears to edit the elements of the vector e Move the cursor to the cell that contains the element you want to change input the new value and then press To copy vector variable or VctAns contents 1 Use the Vector Editor to display the vector you want to copy e If you want to copy VctA for example perform the following key operation 5 VECTOR 2 Data QJ VctA e If you want to copy VctAns contents perform the following to display the VctAns screen 5 VECTOR 6 VctAns E 2 Press STO and then perform one of the following key operations to specify the copy destination VctA VctB or hyp VctC e This will display the Vector Editor with the contents of the copy destination Vector Calculation Examples The following examples use VctA 1 2 and VctB 3 4 from VAS and VctC 2 1 2 from 22 You can input a vector variable into a key operation by pressing 5 VECTOR and then pressing one of the following number keys 8 VctA 4 VctB 6 VctC E 34 VA 3 3 x VctA Vector scalar multiplication 3 x VctA VctB Calculation example using VctAns Vero An 3 K VctA S i E vcTO S Vete E 1 a 4 VctA VctB Vector dot product Vote veto VctA an 5 VECTOR 7 Dot VctB VA 5 VctA x VctB Vector cross
20. 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 Positive 0000000000000000 S x S 0111111111111111 Negative 1000000000000000 S x S 1111111111111111 Octal Positive 00000000000 x 17777777777 Negative 20000000000 S x S 37777777777 Decimal 2147483648 x S 2147483647 E 26 Positive 00000000 x 7FFFFFFF Hexadecimal Negative 80000000 x FEFFFFFF Specifying the Number Mode of a Particular Input Value You can input a special command immediately following a value to specify the number mode of that value The special commands are d decimal h hexadecimal b binary and o octal To calculate 1010 1016 102 10s and display the result as a decimal value x DEC 3 BASE 3 BASE 3 BASE 3 BASE d 10 2 h 10 8 b 10 a 0 10 36 w ower as wa 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 x DEC decimal HEX hexadecimal 09 BIN binary n OCT octal To calculate 1510 x 3710 in the decimal mode and then convert the result to hexadecimal binary and octal ac 3 DEC 15 X 37 S 555 HEX 0000022B BIN 0000001000101011 in OCT 00000001053 Logical and Negation Operation
21. Depending on what you input for the initial value for X solution variable SOLVE may not be able to obtain solutions If this happens try changing the initial value so they are closer to the solution e SOLVE may not be able to determine the correct solution even when one exists SOLVE uses Newton s Law so even if there are multiple solutions only one of them will be returned Due to limitations in Newton s Law solutions tend to be difficult to obtain for equations like the following y sin x y e y Vx Solution Screen Contents Solutions are always displayed in decimal format Equation The equation you input D Math l Y s 5 l Variable solved for l d 1 qo 1 cia Solution L R i Left Side Right Side result Left Side Right Side result shows the result when the right side of the equation is subtracted from the left side after assigning the obtained value to the variable being solved for The closer this result is to zero the higher the accuracy of the solution Continue Screen SOLVE performs convergence a preset number of times If it cannot find a solution it displays a confirmation screen that shows Continue asking if you want to continue Press to continue or to cancel the SOLVE operation L To solve y x x 1 for x when y 3 7 and 13 Math A D mm Geo Y m Cag Y g m 0 xa a moe 1 Cao SOLVE E 21 So ve for i 3
22. MATRIX 2 Data QJ MatA e If you want to copy MatAns contents perform the following to display the MatAns screen 4 MATRIX 6 MatAns 2 Press STO and then perform one of the following key operations to specify the copy destination MatA MatB or typ MatC e This will display the Matrix Editor with the contents of the copy destination Matrix Calculation Examples The following examples use MatA J and MatB k 2 from and MatC p from 2 You can input a matrix variable into a key operation by pressing 4 MATRIX and then pressing one of the following number keys 8 MatA 4 MatB 6 MatC VA 3 3 x MatA Matrix scalar multiplication An smaa je 3 A 4 Obtain the determinant of MatA det MatA 4 MATRIX 7 det MatA D 1 Vi 5 Obtain the transposition of MatC Trn MatC 4 MATRIX 8 Trn MatC D VA 6 Obtain the inverse matrix of MatA MatA Note You cannot use x for this input Use the key to input An Mage j E 31 PT Obtain the absolute value of each element of MatB Abs MatB An Abs Mate E fam A 8 Determine the square and cube of MatA MatA MatA Note You cannot use for this input Use to specify squaring and x8 to specify cubing Ah cg Maw a M Damme ie e Creating a Number Table from a Function TABLE TABLE generates a number table for x and f x using an input f x function P
23. MatB E 29 Press 6 MATRIX to enter the MATRIX Mode Press 1 MatA 5 2x2 e This will display the Matrix Editor for input of the elements of the 2 x 2 matrix you specified for MatA Nh A stands for MatA Input the elements of MatA 2 1 B 1 1 B Perform the following key operation 4 MATRIX 2 Data 2 MatB 8 2x2 e This will display the Matrix Editor for input of the elements of the 2 x 2 matrix you specified for MatB Input the elements of MatB 2 1 B He 22 Press to advance to the calculation screen and perform the first calculation MatAxMatB 4 MATRIX 8 MatA X 4 MATRIX 4 MatB e This will display the MatAns screen with the calculation results MAT D MatA Mathl a 7 A for A U O oO Note MatAns stands for Matrix Answer Memory See Matrix Answer Memory for more information Perform the next calculation MatA MatB 4 MATRIX B MatA 4 MATRIX 4 MatB MAT O MAT D Mat tHatH U o N Matrix Answer Memory Whenever the result of a calculation executed in the MATRIX Mode is a matrix the MatAns screen will appear with the result The result also will be assigned to a variable named MatAns The MatAns variable can be used in calculations as described below e To insert the MatAns variable into a calculation perform the following key operation 4 MATRIX 6 MatAns
24. ONV and then input the two digit number that corresponds to the command you want L To convert 5 cm into inches MA CONVERS ITOH 5 8 CONV Humber O1 d0 7 el FCmrIN 1 968503937 0 2 cmP in E L To convert 100 g into ounces MA 100groz d g2 Podbood 100 Gr 8 CONV 2 2 g gt oz L To convert 31 C into Fahrenheit MA 003 BA CON Wecrrye EAF i 20 0 The following shows the two digit numbers for each of the metric conversion commands 05 yd gt m 06 m gt yd 07 mile km 08 km gt mile 13 gal US gt 2 14 2 gt gal US 15 gal UK gt 2 16 2 gt gal UK 17 pc gt km 18 km gt pc 19 km h gt m s 20 m s gt km h 21 0zPg 22 g gt oz 23 lb gt kg 24 kg gt Ib E 37 25 atm gt Pa 26 Pa gt atm 27 mmHg gt Pa 28 Pa gt mmHg 29 hp gt kW 30 kW gt hp 31 kgf cm gt Pa 32 Pa kgf cm 33 kgf e m gt J 34 J gt kgf e m 35 Ibf in gt kPa 36 kPa Ibf in 37 F gt C 38 C gt F 39 J P cal 40 cal gt J Conversion formula data is based on the NIST Special Publication 811 1995Y Note The J cal command performs conversion for values at a temperature of 15 C Calculation Ranges Number of Digits and Precision The calculation range number of digits used for internal calculation and calculation precision depend on the type of calculation you are performing Calculation Range and Precision
25. ach part and then combine the results f of x dx I fdx i FDdx j j Sx Examples i sin30 05 DOES Gn 30 Q E 0 5 sin 0 5 30 PG Eel sin sin 0 5 Q B 30 2 sinh 1 1 175201194 fe sinh 1 0 amp 1 175201194 cosh 1 0 5 cosh 1 Q EB 0 L m 2 radians 90 50 grads 45 A CO suet 107 m G 2 O bry fans DRGP 2 0GS 90 50 hrr ans DRG gt 3 9 E 45 A 4 To calculate e x 2 to three significant digits Sci 3 wove SETUP Z Sci 3 MATH Er in e 5 X 2 2 97x10 LINE in e 5 D X 2 B 2 97x102 Ps log 1000 log 1000 3 1000 0 B 3 log 16 4 log 2 ern 0 16 Q B 4 MATH b 2 16 4 VAS To calculate In 90 loge 90 to three significant digits Sci 3 m SETUP 7 Sci 3 in 90 0 B 4 50x10 7 12x10 1200 DE 1 2 10 03 E 1200 1 16 U 0O 0a 16 52 3 15625 5 x x E 15625 V32 2 CY enem 5 32 amp 2 M sewoe 2 E 16 To calculate V2 x 3 3V2 4 242640687 to three decimal places Fix 3 sur wove SETUP 6 Fix 3 DZ Va 2 Xx 3 amp 3V2 En E 4 243 ma DHDIEIS 4 243 As Siin x 1 A A m m 0 X 0 1 A Wa e e E 1 ma n O X O er O 1 Er O PH to e O GS 1 VA To obtain the derivative at point x 1 2 for the function y sin x MATH sue Sin WP OJ X I HA ko x 2 amp 0 LINE sae in WW OJ X I Er O Er tO x S
26. al Display while the IX symbol indicates Linear Display 3 Deg 4 Rad 5 Gra_ Specifies degrees radians or grads as the angle unit for value input and calculation result display Note In this manual the ERJ symbol next to a sample operation indicates degrees while the EJ symbol indicates radians 6 Fix 7 Sci 8 Norm Specifies the number of digits for display of a calculation result Fix The value you specify from O to 9 controls the number of decimal places for displayed calculation results Calculation results are rounded off to the specified digit before being displayed Example XG 100 7 14 286 Fix 3 14 29 Fix 2 Sci The value you specify from 1 to 10 controls the number of significant digits for displayed calculation results Calculation results are rounded off to the specified digit before being displayed Example XG 1 7 1 4286 x 10 Sci 5 1 429 x107 Sci 4 Norm Selecting one of the two available settings Norm 1 Norm 2 determines the range in which results will be displayed in non exponential format Outside the specified range results are displayed using exponential format Norm 1 102 gt Ixl Ixl 10 Norm 2 10 gt Ixl Ixl 10 Example MMJ 1 200 5 x 10 Norm 1 0 005 Norm 2 Jab e 2 d e Specifies either mixed fraction ab c or improper fraction d c for display of fractions in calculation results BICMPLX G a bi 2 rz6 Specifies either rectangular coordinates a
27. and Step values and try again Time Out Error Cause The current differential or integration calculation ends without the ending condition being fulfilled Action Try increasing the to value Note that this also decreases solution precision 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 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 3 If the above steps do not correct your problem press the key This will cause the calculator to perform a routine that checks whether calculation functions are operating correctly If the calculator discovers any abnormality it automatically initializes the calculation mode and clears memory contents E 41 For details about initialized settings see Configuring the Calculator Setup 4 Initialize all modes and settings by performing the following operation 9 CLR 4 Setup E Yes Replacing the Battery A low battery is indicated by a dim display even if contrast is adjusted or by failure of figures to appear on the display immediately after you
28. can perform input and display results the same way did on a model that does not have Natural Textbook Display Perform the following key operation F1 wove SETUP 2 LinelO See Configuring the Calculator Setup on page E 5 for more information E How can change a fraction format result to decimal format How can I change a fraction format result produced by a division operation to decimal format See Toggling Calculation Results on page E 9 for the procedure E What is the difference between Ans memory independent memory and variable memory Each of these types of memory acts like containers for temporary storage of a single value Ans Memory Stores the result of the last calculation performed Use this memory to carry the result of one calculation on to the next Independent Memory Use this memory to totalize the results of multiple calculations Variables This memory is helpful when you need to uses the same value multiple times in one or more calculations E What is the key operation to take me from the STAT Mode or TABLE Mode to a mode where can perform arithmetic calculations Press 1 COMP E How can return the calculator to its initial default settings Perform the following operation 9 CLR 1 Setup Yes E When execute a function calculation why do get a calculation result that is completely different from older CASIO calculator models With a Natural Textbook Display model
29. d 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 ac 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 vV form and decimal form or its x form and decimal form E 9 F u 6 an 0 5235987756 ENJ ko n E 6 B Tr o 0 5235987756 GO V2 2 x V3 V6 2V3 5 913591358 PINI CAAMA v 2v3 5 913591358 While Linear Display is selected each press of will toggle the currently displayed calculation result between its decimal form and fraction form 5 1656 0 2 be 145 L 1 o 5 0 2 LINE _ 1644252 145 p 0 2 Important e 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 Note With Natural Display pressing instead of after inputting a calculation will display the calculation result in decimal form Pressing after that will switch to the fraction form or x form of the calculation result The v form of the result will not appear in this case Basic Calculations Fraction Calculations Note that the input method for fractions is different depending upon whether you are using Natural Display or Linear Display lt gt
30. eeeeeeeeeeeeeeeeeeeee 43 Important Information e The displays and illustrations such as key markings shown in this User s Guide are for illustrative purposes only and may differ somewhat from the actual items they represent e The contents of this manual are subject to change without notice e Inno 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 Moreover CASIO Computer Co Ltd shall not be liable for any claim of any kind whatsoever by any other party arising out of the use of this product and the items that come with it e Be sure to keep all user documentation handy for future reference Sample Operations Sample operations in this manual are indicated by a Vi icon Unless specifically stated all sample operations assume that the calculator is in its initial default setup Use the procedure under Initializing the Calculator to return the calculator to its initial default setup For information about the QZ MA CE3 and RZJ marks that are shown in the sample operations see Configuring the Calculator Setup Initializing the Calculator Perform the following procedure when you want to initialize the calculator and return the calculation mode and setup to their initial default settings Note that this operation also clears all data currently in ca
31. eesecescceseisisessicecds Cocacescereretdacs 10 Function Calculations sssssssssssessssceesssesssssesseseeseeeeees 13 Complex Number Calculations CMPLX ccsccccseseeeeees 18 Using CALC crccnccciscceine ct acteteardcccec dt cescs r Ea EEEE aneren 19 Using SOLVE creesscerrcicecnenteseetcuctinvnccpeeesnnsainantmcessncecenniaseebeenian 20 Statistical Calculations STAT csseeeeeeeeesseeeenseeeees 22 Base n Calculations BASE N sssssnssssnnnnnnnnnnnnnnnnnnnnnnnn 26 Equation Calculations EQN cccccccesceesesesseeeseeseeeenneneee 28 Matrix Calculations MATRIX sssssssssnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn 29 Creating a Number Table from a Function TABLE 32 Vector Calculations VECTOR sssssesssssesssssssesseesses 33 Scientific CONSTANTS occas scccccessnenecencecccastcccscccessittctececacthennnccens 35 MEIC CONVEISION scscicsnintcesetieececersnactseesssetseteaadenscbeberedecereenes 37 Calculation Ranges Number of Digits and IPVECISION sitesine enan e e aee Oaea EEEE Ee EEA EER EEEE 38 EPP ONS cotsecnnccceuccadtetdaescescacdeccenssstarneencessaceitcecntdcandiceucccscueteeneesdeds 40 Before Assuming Malfunction of the Calculator 41 Replacing the Baler yiiicccnsiitcnccnnnsscssdccsassssnssssdnnnenanasseneaunian 42 Specifications ogasiisisacscacectcccccathisedceecebs soe euesie st cecewteadenedebnccees 42 Frequently Asked QueSTIONS cccccceeeeeeeeeeeee
32. erform the following steps to generate a number table 1 Press TABLE to enter the TABLE Mode 2 Input a function in the format f x using the X variable e Be sure to input the X variable m OJ X when generating a number table Any variable other than X is handled as a constant e The following cannot be used in the function Pol Rec J d dx 3 In response to the prompts that appear input the values you want to use pressing after each one For this prompt Input this Start Input the lower limit of X Default 1 End Input the upper limit of X Default 5 Note Make sure that the End value is always greater than the Start value Step Input the increment step Default 1 Note The Step specifies by how much the Start value should be sequentially incremented as the number table is generated If you specify Start 1 and Step 1 X sequentially will be assigned the values 1 2 3 4 and so on to generate the number table until the End value is reached e Inputting the Step value and pressing generates and displays the number table in accordance with the parameters you specified e Pressing while the number table screen is displayed will return to the function input screen in step 2 V4 To generate a number table for the function f x x ales for the range 1 x 1 incremented in steps of 0 5 QW Z TABLE ree 1D Math E 32 D WH 01x 1 2 f 6016816056 Note You can
33. essing ac you should use Linear Display input procedures for input Using SOLVE SOLVE uses Newton s Law to approximate the solution of equations Note that SOLVE can be used in the COMP Mode ove 1 only The following describes the types of equations whose solutions can be obtained using SOLVE e Equations that include variable X X 2X 2 Y X 5 X sin M X 3 B C SOLVE solves for X An expression like X 2X 2 is treated as X 2X 2 0 e Equations input using the following syntax equation solution variable SOLVE solves for Y for example when an equation is input as Y X 5 Y Important If an equation contains input functions that include an open parenthesis such as sin and log do not omit the closing parenthesis e The following functions are not allowed inside of an equation J d dx X Pol Rec L To solve y ax b for x when y 0 a 1 and b 2 Oo Math Geo Y N Co HPA O A Y Ax E QJ X Ge GE W B D Math YI Cuc SOLVE Prompts for input of a value for Y Current value of Y E 20 ath D M 0010026 0lve for X Current value of X iD Math 5y Input an initial value for X Here input 1 1 S y 6 1 414215562 R 0 Solution screen To exit SOLVE Note During the time from when you press Cac SOLVE until you exit SOLVE by pressing Ac you should use Linear Display input procedures for input Important e
34. fter you press fey STO The calculator is standing by for input of a variable name to RCL recall the variable s value This indicator appears after you press fel STAT The calculator is in the STAT Mode CMPLX The calculator is in the CMPLX Mode MAT The calculator is in the MATRIX Mode VCT The calculator is in the VECTOR Mode D The default angle unit is degrees RI The default angle unit is radians el The default angle unit is grads FIX A fixed number of decimal places is in effect SCI A fixed number of significant digits is in effect Math Natural Display is selected as the display format Calculation history memory data is available and can be VA replayed or there is more data above below the current screen E 4 The display currently shows an intermediate result of a Disp 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 Using Menus Some of the calculator s operations are performed using menus Pressing or hye for example will display a menu of applicable functions The following are the operations you should use to navigate between menus e You can select a menu item by pressing the number key that corresponds to the number to its left on the menu screen e The Y indicator in the upper right corner of a menu means there is another menu bel
35. fx 570ES PLUS fx 991ES PLUS User s Guide CASIO Worldwide Education Website http edu casio com CASIO EDUCATIONAL FORUM http edu casio com forum CASIO Contents Important Information ccccceeeeeeeeeeeeeeeeeneeeeseeeeeneeeeeeeeeeeneeees 2 Sample Operations cccccccceeeessssssssseeeeeeeeeeeeeeseeeeenseeeeeeees 2 Initializing the Calculator isis ccicsisesnckzancnsocenecegssndncdeassnccacdenasines 2 Safety Precaution S rasa scct cheese sad caceectcceeeebwacastnenuanceesecectcs 2 Handling PRECAUTIONS iisccciccsiiecceccesnsnssasnsenessescieadecsddcccsatecenanantes 2 Removing the Hard Case cccceccceceeeeseeeeeeeseeeseeeeseeseeesseeeeneees 3 Turning Power On and Off nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn 3 Adjusting Display Contrast nnsnnnnsnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn 3 Key Markings secicectecsnsnccensininancdenisanedsadensarsdasassienssssraeaabiaeancciouve 3 Reading the DISpl y siisiccccensccceccansscnssssinadnansnescenatsnnacnnnnssnacsanss 4 Using Men s Gicesiiiiasecssnntccucciuswiaddatessatssneidadseatsaasauiinieenmenssesccaasn 5 Specifying the Calculation Mode cccccccecesesssensssseeeeeees 5 Configuring the Calculator Setup sssssssssssssnnnnnnnnnnnnnnnnnnnnnnnna 5 Inputting Expressions and Values cccsccceseeeeeeeeeeeeeeeeeeee 7 Toggling Calculation Results ssseeeeeeeeeeeeneeeeeeees 9 Basic Calculations cesisiisctcceceesnee
36. g parenthesis immediately 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 n or e 3 The closing parenthesis immediately before the operation can be omitted Axg int 30 xCS0 1 b Input example omitting X and 0 operations in the above 45in 300304103 example 4 sin 30 0 O 30 H 10 3 B 120 Note e If the calculation becomes longer than the screen width during input the screen will scroll automatically to the right and the lt indicator will appear on the display When this happens you can scroll back to the left by using amp and to move the cursor e When Linear Display is selected pressing will cause the cursor to jump to the beginning of the calculation while will jump to the end 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 amp while the cursor is at the beginning will cause it to jump to the end You can input up to 99 bytes for a calculation Each numeral symbol or function normally uses one byte Some functions require three to 13 bytes The cursor will change shape to W when there are 10 bytes or less of allowed input remaining If this happens end calculation input and then press Calculation Priority Sequence The pr
37. h two or three unknowns quadratic equations and cubic equations 1 Press 5 EQN to enter the EQN Mode 2 On the menu that appears select an equation type To select this calculation type Press this key Simultaneous linear equations with two C anX bnY cn unknowns Simultaneous linear equations with three unknowns Quadratic equation B aX bX c 0 Cubic equation 4 aX bX cX d 0 2 anX bnY CnZ dn 3 Use the Coefficient Editor that appears to input coefficient values e To solve 2x x 3 0 for example press 8 in step 2 and then input the following for the coefficients a 2 b 1 c 3 261 B 36B e To change a coefficient value you already have input move the cursor to the appropriate cell input the new value and then press B e Pressing will clear all of the coefficients to zero Important The following operations are not supported by the Coefficient Editor M m M fey STO Pol Rec and multi statements also cannot be input with the Coefficient Editor 4 After all the values are the way you want press e This will display a solution Each press of will display another solution Pressing while the final solution is displayed will return to the Coefficient Editor e You can scroll between the solutions using the and keys e To return to the Coefficient Editor while any solution is displayed press acj Note e Even if Natural Dis
38. iority sequence of input calculations 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 E 7 ist Parenthetical expressions 2nd Functions that require an argument to the right and a closing parenthesis following the argument 3rd Functions that come after the input value x x X71 xl 9 59 Pt powers x roots Va 4th Fractions Negative sign base n symbols d h b o Note When squaring a negative value such as 2 the value being squared must be enclosed in parentheses CQ 2 5th Since x has a higher priority than the negative sign inputting 2 kA E would result in the squaring of 2 and then appending a negative sign to the result Always keep the priority sequence in mind and enclose negative values in parentheses when required 6th Metric conversion commands cmP in etc STAT Mode estimated values 21 2 7th Multiplication where the multiplication sign is omitted Permutation nPr combination nCr complex number polar coordinate symbol lt 9th Dot product 10th Multiplication division x 11th Addition subtraction 12th Logical AND and 13th Logical OR XOR XNOR or xor xnor 8th Inputting with Natural Display Selecting Natural Display makes it possible to input and display fractions and certain functions
39. 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 When Fix 3 is the display digits setting for example the result of 10 3 is displayed as 3 333 while the calculator maintains a value of 3 33333333333333 15 digits internally for calculation In the case of Rnd 10 3 3 333 with Fix 3 both the displayed 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 x 3 9 999 or not used 10 3x3 10 000 See a7 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 To interrupt an ongoing calculation before its result appears press ac Integration and Differential Calculation Precautions e Integration and differential calculations can be performed in the COMP Mode Mo 1 only e The following cannot be used in f x a b or tol Pol Rec J d dx e When using a trigonometric function in f x specify Rad as the angle unit e A smaller tol value increases precision but it also increases calculation time When specifying tol use value that is 1 x 10 or greater Precautions f
40. ix t 3 STAT 1 VAR 0818283848586 78298 10 18 2818 26262632 425618 3 suet Q STAT 5 Distr 4 gt E 25 G1 STAT 8 Distr 1 P Results Normalized variate Pt 0 762 P t 0 223 Base Calculations BASE N Press 4 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 Press one of the following keys to switch number modes DEC for decimal HEX for hexadecimal 09 BIN for binary or in OCT for octal To enter the BASE N Mode switch to the binary mode and calculate 11 1 T BASE N Def CJ BIN Bin OOOOO00000000000 F n ce ie om 1 loqoooocaooo00 Continuing from above switch to the hexadecimal mode and calculate 1F16 116 ac HEX 1 tan F GE 1 E dood JT Co L Continuing from above switch to the octal mode and calculate 7s 18 in OCT 7 1 E ooooocood t C ct Note Use the following keys to input the letters A through F for hexadecimal values A amp B by C Gin D 0s E tan 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 e The input and output ranges is
41. lculator memory 9 CLR 8 All Yes Safety Precautions AN Battery e Keep batteries out of the reach of small children e Use only the type of battery specified for this calculator in this manual Handling Precautions e Even if the calculator is operating normally replace the battery at least once every three years LR44 GPA76 or two years R03 UM 4 A dead battery can leak causing damage to and malfunction of the calculator Never leave a dead battery in the calculator Do not try using the calculator while the battery is completely dead fx 991ES PLUS e The battery that comes with the calculator discharges slightly during shipment and storage Because of this it may require replacement sooner than the normal expected battery life e Do not use an oxyride battery or any other type of nickel based primary battery with this product Incompatibility between such batteries and product specifications can result in shorter battery life and product malfunction e Avoid use and storage of the calculator in areas subjected to temperature extremes and large amounts of humidity and dust e Do not subject the calculator to excessive impact pressure or bending E 2 e Never try to take the calculator apart e Use a soft dry cloth to clean the exterior of the calculator e Whenever discarding the calculator or batteries be sure to do so in accordance with the laws and regulations in your particular area Compa
42. log x2 x3 x V V Vo x 10 e f d dx 2 Abs just as they are written in your textbook 2 v2 T 0 1 V2 620820010828 Important Certain types of expressions can cause the height of a calculation formula to be greater than one display line The maximum allowable height of a calculation formula is two display screens 31 dots x 2 Further input will become impossible if the height of the calculation you are inputting exceeds the allowable limit e Nesting of functions and parentheses is allowed Further input will become impossible if you nest too many functions and or parentheses If this happens divide the calculation into multiple parts and calculate each part separately Note When you press and obtain a calculation result using Natural Display part of the expression you input may be cut off If you need to view the entire input expression again press and then use and to scroll the input expression E 8 Using Values and Expressions as Arguments Natural Display only A value or an expression that you have already input can be used as the argument of a function After you have input amp for example you can make it the argument of V resulting in y Z g g 6 V4 To input 1 5 and then change it to 1 We MATH D Math A 1 76 6 itd D Math A E As shown above the value or expression to the right of the cursor after 0 INS are pressed becomes the argument of the function that is
43. n be calculated for a given x value The corresponding x value two values x and xe in the case of quadratic regression also can be calculated for a value of y in the regression formula La To determine the estimate value for y when x 160 in the regression formula produced by logarithmic regression of the data in P Specify Fix 3 for the result Perform the following operation after completing the operations in L 160 1 STAT 8 Reg 5 0E a106 598 Result 8106 898 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 menu that appears when you perform the following key operation 1 STAT 5 Distr P Q R These functions take the argument and determine a probability of standard normal distribution as illustrated below P t Q t R Ot Ot Ot gt t This function is preceded by the argument X and determines the normalized variate X t VAs For the single variable data xn freqn 0 1 1 2 231 332 452 5 2 6 3 7 4 9 2 10 1 to determine the normalized variate 7 when x 3 and P r at that point up to three decimal places Fix 3 m SETUP 4 STAT GJ ON m SETUP 6 F
44. ny and product names used in this manual may be registered trademarks or trademarks of their respective owners Removing the Hard Case Before using the calculator slide its hard case downwards to remove it and then affix the hard case to the back of the calculator as shown in the illustration nearby Turning Power On and Off Press to turn on the calculator Press ac OFF to turn off the calculator Auto Power Off Your calculator will turn off automatically if you do not perform any operation for about 10 minutes If this happens press the key to turn the calculator back on Adjusting Display Contrast Display the CONTRAST screen by performing the following key operation SHIFT wove SETUP 6 lt CONTP Next use amp and to adjust contrast After the setting is the way you want press ac 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 Alternate function key performs the alternate function of the second key sin D4 The alternate function is indicated by the text printed above the key The following shows what the different colors of the alternate function key text mean Keycap function If key marking text is this color Press and then the key to access the Yellow applicable function Press and then the key to input the applicable variable
45. on gyromagnetic ratio 15 Acn neutron Compton wavelength 17 u atomic mass constant 19 ue electron magnetic moment 21 uu Muon magnetic moment 23 e elementary charge 25 k Boltzmann constant 27 R molar gas constant 29 C1 first radiation constant 31 o Stefan Boltzmann constant 02 mn neutron mass 04 mu muon mass 06 h Planck constant 08 uB Bohr magneton 10 a fine structure constant 12 Ac Compton wavelength 14 Acp proton Compton wavelength 16 Ree Rydberg constant 18 up proton magnetic moment 20 un neutron magnetic moment 22 F Faraday constant 24 NA Avogadro constant 26 Vm molar volume of ideal gas 28 Co speed of light in vacuum 30 Cz second radiation constant 32 eo electric constant E 36 33 uo magnetic constant 34 0 magnetic flux quantum 35 g standard acceleration of i 36 Go conductance quantum gravity 37 Zo characteristic impedance of 38 t Celsius temperature vacuum 39 G Newtonian constant of gravitation 40 atm standard atmosphere The values are based on CODATA recommended values March 2007 Metric Conversion The calculators built in metric conversion commands make it simple to convert values from one unit to another You can use the metric conversion commands in any calculation mode except for BASE N and TABLE To input a metric conversion command into a calculation press 8 C
46. or Integration Calculation Only e Integration normally requires considerable time to perform e For f x lt 0 where a x Sb as in the case of k 3x 2 1 calculation will produce a negative result e Depending on the content of f x and the region of integration calculation error that exceeds the tolerance may be generated causing the calculator to display an error message Precautions for Differential Calculation Only e If convergence to a solution cannont be found when fol input is omitted the tol value will be adjusted automatically to determine the solution e Non consecutive points abrupt fluctuation extremely large or small points inflection points and the inclusion of points that cannot be differentiated or a differential point or differential calculation result that approaches zero can cause poor precision or error Tips for Successful Integration Calculations When a periodic function or integration interval results in positive and negative f x function values Perform separate integrations for each cycle or for the positive part and the negative part and then combine the results Joda fdr cf fada f x Positive Part Negative Part S Positive S Negative When integration values fluctuate widely due to minute shifts in the integration interval Divide the integration interval into multiple parts in a way that breaks areas of wide fluctuation into small parts perform integration on e
47. ow the current one The A indicator means another menu above Use and to switch between menus e To close a menu without selecting anything press ac Specifying the Calculation Mode When you want to perform this type of Perform this key operation operation General calculations 1 COMP Complex number calculations 2 CMPLX Statistical and regression calculations B STAT Calculations involving specific number systems binary octal decimal 4 BASE N hexadecimal Equation solution E EQN Matrix calculations 6 MATRIX Generation of a number table based on an expression TABLE Vector calculations VECTOR Note The initial default calculation mode is the COMP Mode Configuring the Calculator Setup First perform the following key operation to display the setup menu SHIFT mo SETUP Next use and and the number keys to configure the settings you want Underlined ____ settings are initial defaults GQJMthiO 2 LinelO Specifies the display format Natural Display MthIO causes fractions irrational numbers and other expressions to be displayed as they are written on paper E 5 Linear Display LinelO causes fractions and other expressions to be displayed in a single 4sh 2 45 line Note The calculator switches to Linear Display automatically whenever you enter the STAT BASE N MATRIX or VECTOR Mode e In this manual the EENG symbol next to a sample operation indicates Natur
48. ows when there are X Y and FREQ columns E 22 Note Use the FREQ frequency column to input 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 Pa To select linear regression and input the following data 170 66 173 68 179 75 3 STAT 2 A BX 170 E 173 179 Ow 66 68 75 Important All data currently input in the Stat Editor is deleted whenever you exit the STAT Mode switch between the single variable and a paired variable statistical calculation type or change the Stat Format setting on the setup menu e The following operations are not supported by the Stat Editor M M M rc STO Pol Rec and multi statements also cannot be input with the Stat Editor To change the data in a cell In the Stat Editor move the cursor to the cell that contains the data you want to change input the new data and then press B To delete a line In the Stat Editor move the cursor to the line that you want to delete and then press 0 amp 1 To insert a line In the Stat Editor move the cursor to the location where you want to insert the line and then perform the following key operation 1 STAT 8 Edit Ins To delete all Stat Editor contents In the Stat Editor perform the following key operation 1 STAT 8 Edit 2 Del A Obtaining Statistical Values f
49. play is selected the solutions of simultaneous linear equations are not displayed using any form that includes V Values cannot be converted to engineering notation on the solution screen Changing the Current Equation Type Setting Press 5 EQN and then select an equation type from the menu that appears Changing the equation type causes the values of all Coefficient Editor coefficients to change to zero E 28 EQN Mode Calculation Examples GX 2y 3 2x4 3y 4 wove 5 EQN G1 anX bnY cn 1B2 636 2 B36 4E Y 2 V4 X V Z 2 xX y zZ 0 c y z 4 wove 5 EQN 2 anX bnY CnZ dhn 1801681628 181800160168 9018918916416 X 1 Y 2 Z 3 L txt O MATH wove 5 EQN 3 aX bX c 0 1 v2 18186386402 X1 5 7 i v2 2 Xx 5 Si L x 2V2x 2 0 NA wo0e 5 EQN 8 aX bX c 0 186020920686266 X v2 x8 2x x 2 0 m 5 EQN 4 aX bX cX d 0 16026016266 Xi 1 X2 2 X3 1 Matrix Calculations MATRIX Use the MATRIX Mode to perform calculations involving matrices of up to 3 rows by 3 columns To perform a matrix calculation you first assign data to special matrix variables MatA MatB MatC and then use the variables in the calculation as shown in the example below Ja To assign F Tto MatA and k 3 to MatB and then perform the following calculations k x 4 7 MatAxMatB 21 2 1 eli MatA
50. r amp a bi can be input at the end of a calculation to specify the display format of the calculation results The command overrides the calculator s complex number format setting OG V2 V2i 2245 2245 V2 V2i MIRA Wa 2 We 2 m i SF C CMPLX B P26 B 2245 2 HF O 2 45 mr 2 CMPLX 4 gt a bi E V2 v2i Using CALC CALC lets you save calculation expressions that contain variables which you can then recall and execute in the COMP Mode woe J and the CMPLX Mode o 2 The following describes the types of expressions you can save with CALC e Expressions 2X 3Y 2AX 3BY C A Bi e Multi statements X Y X X Y e Equalities with a single variable on the left and an expression including variables on the right A B C Y X X 3 Use Calc to input the equals sign of the equality To store 3A B and then substitute the following values to perform the calculation A B 5 10 7 20 D Math JA H 3 Hl O A a E B Prompts for input of a value for A Current value of A Oo Math A 5 B 10 SAB or B E 19 D Math A 78326 JA B 41 To exit CALC V4 To store A Bi and then determine V3 i 1 V3 i using polar coordinates r20 QA wove 2 CMPLX A Bi age Math A M E B Eng 7 2 CMPLX 3 gt r20 ads OE 1 amp SEAD e or E 1 B306 ef 6 To exit CALC Note During the time from when you press until you exit CALC by pr
51. rom Input Data To obtain statistical values press while in the Stat Editor and then recall the statistical variable xon Xx etc you want Supported statistical variables and the keys you should press to recall them are shown below For single variable statistical calculations the variables marked with an asterisk are available Sum x Ex Sy Ey xy EX9 Ex y Ext STAT 3 Sum Q to Number of Items n Mean x y Population Standard Deviation xon yon Sample Standard Deviation xon 1 yon 1 STAT 4 Var to Regression Coefficients A B Correlation Coefficient r Estimated Values x GJ STAT Reg G to B Regression Coefficients for Quadratic Regression A B C Estimated Values 1 X2 ar C STAT 6 Reg G to 6 E 23 e See the table at the beginning of this section of the manual for the regression formulas e 1 f2 and are not variables They are commands of the type that take an argument immediately before them See Calculating Estimated Values for more information Minimum Value minX minY Maximum Value maxX maxY HFT C STAT 6 MinMax to 4 Note While single variable statistical calculation is selected you can input the functions and commands for performing normal distribution calculation from the menu that appears when you perform the following key operation 1 STAT 8 Distr See Performing Normal Distribution Calculations
52. s 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 B BASE to input these logical operators and functions All of the following examples are performed in the binary mode 09 BIN L To determine the logical AND of 10102 and 11002 10102 and 11002 1010 3 BASE and 1100 0000000000001000 V4 To determine the logical OR of 10112 and 110102 10112 or 110102 1011 3 BASE 2 or 11010 000000000001 1011 F To determine the logical XOR of 10102 and 11002 10102 xor 11002 1010 3 BASE 8 xor 1100 0000000000000110 V4 To determine the logical XNOR of 11112 and 1012 11112 xnor 1012 ac 1111 r 3 BASE 4 xnor 101 1111111111110101 E 27 To determine the bitwise complement of 10102 Not 1010z 3 BASE 8 Not 1010 Q E 1111111111110101 L To negate take the two s complement of 1011012 Neg 1011012 ac suit 3 BASE 6 Neg 101101 1111111111010011 Note In the case of a negative binary octal or hexadecimal value the calculator converts the value to binary takes the two s complement and then converts back to the original number base For decimal base 10 values the calculator merely adds a minus sign Equation Calculations EQN You can use the following procedure in the EQN Mode to solve simultaneous linear equations wit
53. 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 log2 4 etc This capability can be used with the following functions 3 0 Ghr CE Ge SHEN oo Sm HFT E er log 10 Cen Cn e a e Che vm v HFT bye Abs 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 oe INS The cursor appears as I in the insert mode and as m in the overwrite mode Note Natural Display always uses the insert mode so changing display format from Linear 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 the character or function you want to delete and then press bE In the overwrite mode move the cursor so it is directly under the character or function you want to delete and then press bE To insert a character or function into a calculation Use and to move the cursor to the location where you want to insert the character or function an
54. tands for WOTA CTH E SAnS Note VctAns stands for Vector Answer Memory See Vector Answer Memory for more information E 33 Vector Answer Memory Whenever the result of a calculation executed in the VECTOR Mode is a vector the VctAns screen will appear with the result The result also will be assigned to a variable named VctAns The VctAns variable can be used in calculations as described below e To insert the VctAns variable into a calculation perform the following key operation 5 VECTOR 6 VctAns Pressing any one of the following keys while the VctAns screen is displayed will switch automatically to the calculation screen H The calculation screen will show the VctAns variable followed by the operator for the key you pressed Assigning and Editing Vector Variable Data Important The following operations are not supported by the Vector Editor M M STO Pol Rec and multi statements also cannot be input with the Vector Editor To assign new data to a vector variable 1 Press 6 VECTOR 1 Dim and then on the menu that appears select the vector variable to which you want to assign data 2 On the next menu that appears select dimension m 3 Use the Vector Editor that appears to input the elements of the vector Vi 2 To assign 2 1 2 to VctC 5 VECTOR Dim 8 VetC 3 2501826 To edit the elements of a vector variable
55. the argument of a function that uses parentheses must be followed by a closing parenthesis Failing to 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 ZJ Older S VPAM Model G30 1i5 amp 15 5 Natural Textbook Display Model IX sin 30 155 15 5 Failure to press here as shown below will result in calculation of sin 45 sin 30 15 0 7071067812 E 43 Manufacturer CASIO COMPUTER CO LTD 6 2 Hon machi 1 chome Shibuya ku Tokyo 151 8543 Japan Responsible within the European Union CASIO EUROPE GmbH Bornbarch 10 22848 Norderstedt Germany This mark applies in EU countries only CASIO CASIO COMPUTER CO LTD 6 2 Hon machi 1 chome Shibuya ku Tokyo 151 8543 Japan SA0802 A
56. turn on the calculator If this happens replace the battery with a new one Important Removing the battery will cause all of the calculators memory contents to be deleted 1 Press ac OFF to turn off the calculator e To ensure that you do not accidentally turn on power while replacing the battery slide the hard case onto the front of the calculator fx 991ES PLUS 2 Remove the cover as shown in the illustration and replace the battery taking care that its plus and minus ends are facing correctly Screw __ Screw y Screw fx 570ES PLUS fx 991ES PLUS 3 Replace the cover 4 Initialize the calculator 9 CLR 8 All S Yes e Do not skip the above step Specifications Power Requirements fx 570ES PLUS AAA size battery R03 UM 4 x 1 fx 991ES PLUS Built in solar cell button battery LR44 GPA76 x 1 Approximate Battery Life fx 570ES PLUS 17 000 hours continuous display of flashing cursor fx 991ES PLUS 3 years based on one hour of operation per day Power Consumption 0 0002 W fx 570ES PLUS Operating Temperature 0 C to 40 C 32 F to 104 F Dimensions fx 570ES PLUS 13 8 H x 80 W x 162 D mm 1 2 H x 31 8 W x 6 s D fx 991ES PLUS 11 1 H x 80 W x 162 D mm 3 3 H x 31 8 W x 6 s D E 42 Approximate Weight fx 570ES PLUS 100 g 8 5 oz including the battery fx 991ES PLUS 95 g 3 4 oz including the battery Frequently Asked Questions E How
57. x 2 B CAC Cancel CAJC GOTO D Math or 14 0k2 D Maha 14 102 O16 id 5 Clearing the Error Message While an error message is displayed press to return to the calculation screen Note that this also clears the calculation that contained the error Error Messages Math ERROR Cause The intermediate or final result of the calculation you are performing exceeds the allowable calculation range 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 e When using independent memory or a variable as the argument of a function make sure that the memory or variable value is within the allowable range for the function Stack ERROR Cause The calculation you are performing has caused the capacity of the numeric stack or the command stack to be exceeded The calculation you are performing has caused the capacity of the matrix or vector stack to be exceeded 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 format of the calculation you are performing E 40 Action Make necessary corrections Argument ERROR Cause There is a problem with

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