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Casio FX-115ESPLUS User's Manual

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2. Su STAT Mode estimated values 1 2 th Multiplication where the multiplication sign is omitted Permutation nPr combination nCr complex number polar coordinate symbol Z 9th Dot product 10th Multiplication x division remainder calculations R 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 log x2 x3 x Vm 9m Va x 10 e d dx X TI Abs just as they are written in your textbook f 2 v2 14 v2 amp 2 CE ie AeA 1 2H vw 2 E E 8 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
3. Z D A Continuing 30 53 na 789 579 210 m G Continuing 789 2 a E SUSAM 210 f For Ti Tki Tk Fibonacci sequence determine the sequence from T to Ts Note however that T 1 and T2 1 X Tam IE Ans T 1 D Math A Ho 1 1 l l Ans T2 1 PreAns T 1 Ts2 Te T121 1 D Math A s ns PreAns E ANS PreAns Ans Ts 2 PreAns T 1 Math A D T4 13 T2 2 1 ANS PreAns D Math A Ans Preans Is I4 1T3 3 2 Result The sequence is 1 1 2 3 5 E 17 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 f To assign the result of 3 5 to variable A 3 4 5 suey Rol STO O A 8 f To multiply the contents of variable A by 10 Continuing A X 10 E 80 f To recall the contents of variable A Continuing c A f To clear the contents of variable A 0 STO OKA 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 f To clear the contents of M 0 STO MA M 0 f To add the result of 10 x 5 to M Continuing 10 X 5 50 f To subtract the result of 10 5 from M Continuing 10 5 M 15 f To recall the contents of
4. Note MatAns stands for Matrix Answer Memory See Matrix Answer Memory for more information 7 Perform the next calculation MatA MatB 4 MATRIX 3 MatA 4 MATRIX 4 MatB MAT 0 Mate rWatH MAT D 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 e Pressing any one of the following keys while the MatAns screen is displayed will switch automatically to the calculation screen F X x33 A 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 M fa STO Pol Rec R and multi statements also cannot be input with the Matrix Editor To assign new data to a matrix variable 1 Press 4 MATRIX 1 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 3 Use the Matrix Editor that appears to input the elements of the
5. x HEX hexadecimal 09 BIN binary m OCT octal To calculate 1510 x 3710 in the decimal mode and then convert the result to hexadecimal binary and octal c x DEC 15 X 37 z 555 HEX 0000022B BIN 0000001000101011 in OCT 00000001053 Logical and Negation Operations Your calculator provides you with logical operators and or xor xnor and functions Not Neg for logical and negation operations on binary values Use the menu that appears when you press 3 BASE to input these logical operators and functions All of the following examples are performed in the binary mode leg BIN To determine the logical AND of 10102 and 11002 10102 and 11002 1010 fr 3 BASE 1 and 1100 0000000000001000 To determine the logical OR of 10112 and 110102 10112 or 110102 1011 fr 3 BASE 2 or 11010 000000000001 101 1 E 34 f To determine the logical XOR of 10102 and 11002 10102 xor 11002 1010 fr 3 BASE 3 xor 1100 0000000000000110 f To determine the logical XNOR of 11112 and 1012 11112 xnor 1012 AG 1111 97 3 BASE 2 xnor 101 1111111111110101 f To determine the bitwise complement of 10102 Not 10102 3 BASE 5 Not 1010 O a 1111111111110101 f To negate take the two s complement of 1011012 Neg 1011012 3 BASE 6 Neg 101101 Q a 1111111111010011 Note In the case of a negative binary octal or hexadecimal value the calculato
6. e Equalities or inequalities that include multiple relational operators 1 S 1 lt 141 39 lt 7 lt 4 2 2422 424 2 4 lt 6 2 3 542 4 5 8 etc Note The verification result will cause 1 to be assigned to Ans memory when TRUE and 0 when FALSE e The input expression can be a total of 99 bytes including the left side right side and relational operators e Any variable A B C D E F X Y M input into an expression is treated as a value using the value currently assigned to the variable e R Pol and Rec functions cannot be used in an expression In the VERIFY Mode the calculator performs a mathematical operation on the input expression and then displays TRUE or FALSE based on the result Because of this calculation error can occur or a mathematically correct result may not be able to be displayed when the input calculation expression includes calculation that approaches the singular point or inflection point of a function or when the input expression contains multiple calculation operations Expression Input Precautions The following types of expressions cause a Syntax ERROR and cannot be verified e An expression with nothing on the left side or right side Example 5v7 e An expression in which a relational operator is inside of a fraction or function Example Z 1 cos 8 lt 9 2 e An expression in which a relational operator is enclosed in parentheses Example 8 9 10 e An expression in which multiple
7. example using VctAns VCTD Hn Ac 3 X VctA EB E VCTD An VctB Z ar gl E 42 4 VctA VctB Vector dot product Weta Vote Ac VctA ir 5 VECTOR 7 Dot VctB E A 5 VctA x VctB Vector cross product VctA X VctB A 6 Obtain the absolute values of VctC VCTD Abs VctC Q E Rbst vet 7 Determine the angle formed by VctA and VctB to three decimal places Fix 3 PREJ A B _ which becomes cos IA IB IA IB uo SETUP 6 Fix 3 X VctA Gir 5 VECTOR 7 Dot VctB D cos 0 VCTD FIX p Abs VctA O Gar hyp Abs LV CEA Vole J ABE VctB g VCTD FIX Giri 53 cos i C E cas tns J 10 305 Inequality Calculations INEQ You can use the following procedure to solve a quadratic inequality or cubic inequality 1 Press O 1 INEQ to enter the INEQ Mode 2 On the menu that appears select an inequality type To select this inequality type Press this key Quadratic inequality 1 aX bX c Cubic inequality 2 aX bX cX d 3 On the menu that appears use keys 1 through 4 to select the inequality symbol type and orientation 4 Use the Coefficient Editor that appears to input coefficient values e To solve x 2x 3 lt 0 for example input the coefficients a 1 b 2 C 3 by pressing 1 2 Z c 8 E 43 e To change a coefficient value you already have input move t
8. which generates a random integer within the range of a to b See s nPr nCr Permutation nPr and combination nCr functions See JAT Rnd The argument of this function is made a decimal value and then rounded in accordance with the current number of display digits setting Norm Fix or Sci With Norm 1 or Norm 2 the argument is rounded off to 10 digits With Fix and Sci the argument is rounded off to the specified digit 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 2 9 999 or not used 10 3 x3 10 000 See fis GCD LCM GCD determines the greatest common divisor of two values while LCM determines the least common multiple See Z9 Int Extracts the integer part of a value See Pao E 21 Intg Determines the largest integer that does not exceed a value See Orr 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 Diff
9. 1 968503937 0 2 cm gt in f To convert 100 g into ounces IX rakaz 3 02 e ln 100 sk 8 CONV 2 2 g gt oz f To convert 31 C into Fahrenheit XG 0 31 Cb F 31 CONV 3 8 C F E E 51 The following shows the two digit numbers for each of the metric conversion commands 13 gal US gt 15 gal UK gt Conversion formula data is based on the NIST Special Publication 811 1995 Note The Ji 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 Calculation Range 1 x 10 to 9 999999999 x 10 or O Number of Digits for Internal Calculation uS 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 inputRane sinx m e 0 x lt 9 x 10 cosx 0 x lt 157079632 7 0 S x lt 1x10 tanx Same as sinx except when x 2n 1 x 1 2 Same as sinx except when x 2n 1 x 100 E 52 T em cos cos x coshx tanh x 0 x 9 999999999 x 1
10. 109 Note however that internal calculation error can make it impossible to display some calculation results in x form It also can cause calculation results that should be in decimal form to appear in rx form 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 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 f When you input 14 0 x 2 by mistake instead of 14 10x2 Math D Math ERROR 14 0 XJ 2 3 CAC cancel 41Lk1 GOt O D Math amp or IF D Math A a1 14 10x2 i4 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 e The calculation you are performing contains an illegal mathematical oper
11. For single variable statistical calculations the variables marked with an asterisk are available Sum A m Xy xy Lx Sy Xx 1 STAT DIST 3 Sum 1 to Number of Items n Mean x y Population Standard Deviation ox oy Sample Standard Deviation sx sy 1 STAT DIST 4 Var 1 to Regression Coefficients A B Correlation Coefficient r Estimated Values x 1 STAT DIST 5 Reg 1 to 5 Regression Coefficients for Quadratic Regression A B C Estimated Values X 2 Y 1 STAT DIST 5 Reg 1 to 6 e See the table at the beginning of this section of the manual for the regression formulas E 30 e X1 X and Yare 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 1 STAT DIST 6 MinMax 1 to 2 When the single variable statistical calculation is selected 1 STAT DIST 6 MinMax 1 to 4 When a paired variable statistical calculation is selected First Quartile Q1 Median med Third Quartile Q3 1 STAT DIST 6 MinMax 8 to 5 When the single variable statistical calculation is selected 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 o
12. Use the Vector Editor that appears to input the elements of the vector L 2 To assign 2 1 2 to VctC 8 VECTOR 3 Dim 3 VctC 3 3 2 B 1 3 26 To edit the elements of a vector variable 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 5 To copy vector variable or VctAns contents 1 Use the Vector Editor to display the vector you want to copy e f you want to copy VctA for example perform the following key operation 5 VECTOR 2 Data 1 VctA e f you want to copy VctAns contents perform the following to display the VctAns screen 5 VECTOR 6 VctAns 2 Press STO and then perform one of the following key operations to specify the copy destination VctA fs 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 fh and VctC 2 1 2 from f You can input a vector variable into a key operation by pressing 5 VECTOR and then pressing one of the following number keys 3 VctA 4 VctB 5 VctC L 3 3x VctA Vector scalar multiplication 3 x VctA VctB Calculation
13. 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 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 ll What is the key operation to take me from the STAT Mode or TABLE Mode to a mode where I 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 dol get a calculation result that is completely different from older CASIO calculator models With a Natural Textbook Display model the argument of a function that uses parentheses must be followed by a closing parenthesis Failing to 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 LIT Older S VPAM Model sin 30 H 15 z 15 5 Natural Textbook Display Model I sin 30 15 z 15 5 Failure to press here as shown below will result in calculation of sin 45 sin 30 4 15 0 7071067812 E 57 CASIO CASIO COMPUTER CO LTD 6 2 Hon machi 1 chome ohibuya ku Tokyo 151 8543 Japan SA1111 A O 2012 CASIO COMPUTER CO LTD
14. Yes Safety Precautions N Battery e Keep batteries out of the reach of small children Use only the type of battery specified for this calculator in this manual Handling Precautions Even if the calculator is operating normally replace the battery at least once every three years LR44 GPA76 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 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 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 e Never try to take the calculator apart 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 Company and product names used in this manual may be registered trademarks or trademarks of
15. bi LO 2 4 6 Ed 7 D CJ CO 2 9 2 D 3 3 i f 2745 2 V2i NH LEJ Complex number format a bi 2 br O 2 45 V2 vV2i f V2 v21 2 245 EMI LZ Complex number format r40 Va 2 E vs 2 mi E 2 45 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 e 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 f 1 1 ltd DW Complex number format a bi 1 amp 69 2 D c E f i i 1 i 0 Eni CO 1 A 9 2 D 83 GP CO 1 C9 9 2 0 3 3 0 f To obtain the conjugate complex number of 2 3i Complex number format a bi Nho N 2 CMPLX 2 Conjg 2 3 Ed 7 0 E 2 31 f To obtain the absolute value and argument of 1 7 CUG LZ Absolute Value Abs 1 ENG 2 V2 Argument Ar 2 CMPLX 1 arg 1 CE m O S 45 E 25 Using a Command to Specify the Calculation Result Format Either of two special commands amp rZO or Babi 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 ff 2 2i22245 2745 2 2 2i De Ca 2 CE b 2 emit A CMPLX 3 hr 2
16. 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 bg In the overwrite mode move the cursor so it is directly under the character or function you want to delete and then press be E 9 To insert a character or function into a calculation Use and amp to move the cursor to the location where you want to insert the character or function and then input it Be sure always to use the insert mode if Linear Display is selected To clear all of the calculation you are inputting Press Ad Recurring Decimal Calculations Your calculator uses a recurring decimal when you input a value Calculation results also can be displayed using recurring decimal form whenever applicable Inputting a Recurring Decimal When inputting a recurrent decimal press va BE before inputting its period repetend and then input the period up to the ending value To input the recurring decimal 0 909090 0 90 perform the following operation O C ue vm Eb 90 Important e If the value starts with an integer part like 12 3123123 do not include the integer part when inputting the period 12 312 Recurring decimal input is possible only when Natural Display is selected ff Toi
17. AA nn 19 Function Calculations 229T 200 ununun asuman 20 Complex Number Calculations CMPLX 25 Using CALC Say SAM EIER 26 Using SOLVE 9 EA anana aaa anna amaaan Dansa unns 27 Statistical Calculations STAT 29 Base n Calculations BASE N 33 Equation Calculations EQN 35 Matrix Calculations MATRIX 37 Creating a Number Table from Two Functions TABLE 39 Vector Calculations VECTOR 41 Inequality Calculations INEO 43 Using VERIFY VER P kaan s nu neriman uuu india RR abu irsn a niii 45 Distribution Calculations DIST 47 Scientific Constants asses aaa Y ERUMEVHREENEEEUIM NEU RUE RUSO SEE 50 Metric COnNnvVerSlON miim visicss ut E PXEF ARS REESE KU MI aan 51 Calculation Ranges Number of Digits and Precision 52 OU Se aa al a a em 54 Before Assuming Malfunction of the Calculator 56 Replacing the Battery ees 56 SIC CWC ALIGNS casieria E 57 Frequently Asked Questions 57 E 1 Impor
18. 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 4 Calculation result e f 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 f 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 lt to scroll Display indicators Tur Means this indicator The keypad has been shifted by pressing the key The K keypad will unshift and this indicator will disappear when you press a key The alpha input mode has been entered by pressing the A 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 after you press ci STO The calculator is standing by for input of a variable name to RCL recall the var
19. 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 f fox dx f x dx cf f x dx 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 each part and then combine the results fo 7 x dx f x dx Ni fGOdx f x dx E 22 Examples LA sinas0 05 DYES E 30 0 S 0 5 sin 10 55 30 MA Bey sin sin 0 5 OQ 30 2 sinh 1 1 175201194 1 sinh 1 D amp 1 175201194 cosh 120 5 cosh 1 D 3 0 P 7 2 radians 90 50 grads 45 DEY LO Sur 107 70 2 D sr ans DRG gt 2 0 3 90 50 sur an DRG P 3 9 E 45 Za To calculate e x 2 to three significant digits Sci 3 o SETUP 2 Sci 3 MATH in e 5 X 2 3 2 97x10 LINE n e 5 2 E 2 97x10 f 5 109 1000 log 1000 3 1000 0 amp 3 log 16 4 log 2 suet D 16 D B 4 MATH 2 16 E 4 PA To calculate In 90 loge 90 to three significant digits Sci 3 mo SETUP 7 Sci 3 im 90 D B 4 50x10 I 12x10 1200 RINI 1 2 X 10 3 3 S 1200 1412 16 EX GO 810 x2 CH 2 z 16 5 156259 2 x 3 15625 V32 2 LX er e
20. mo 5 EQN 3 aX bX c 0 1 B O 2 3 2 D 3 2 B 3 X v2 E 36 2X Xx42 0 one 5 EQN 4 aX bX cX d 0 1 2 oJ 2 6B c 1 3 2 3 3 Xi 1 Gn X 2 2 Gn Xs 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 f To assign E MS MatA and E 7 Jt MatB and then perform the following calculations E i x 4 gt MatAxMatB 2 1 2 1 d E 1 MatA MatB Press 6 MATRIX to enter the MATRIX Mode 2 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 A stands for MatA 3 Input the elements of MatA 2 5 1 1 3 1 4 Perform the following key operation 4 MATRIX 2 Data 2 MatB 5 2x2 This will display the Matrix Editor for input of the elements of the 2 x 2 matrix you specified for MatB 5 Input the elements of MatB 2 z 1 c 1 2 z 6 Press to advance to the calculation screen and perform the first calculation MatAxMatB 4 MATRIX 3 MatA 4 MATRIX 4 MatB e This will display the MatAns screen with the calculation results MAT D HataxMatH M s T LA for
21. o 5 32 S 2 LINE 5 str x 2 32 D 3 2 To calculate V2 x 3 2 3 2 4 242640687 to three decimal places Fix 3 A ce SETUP Fx EX 20093 3 2 4 243 LINE 2 DJ Xx 3 4 243 Zs Jing LE UE Un uj D X D 1 un kio e E 1 LINE YE n um OJ X DJ rr D 1 suet D C uei 107 e D 2 1 VA To obtain the derivative at point x 1 2 for the function y sin x Rad MATH sHiFT ic sin um OJ X DJ amp br kio x 2 E 0 LINE hrr en sin um OJ X D uer LJ sur io x amp 2 D E 0 E 23 5 fio 2 x 1 20 SHIFT 09 0 ALPHA DJ X HF 1 0 1 0 5 z 20 LINE SHIFT 09 0 ALPHA D X CE 1 D 1 sar 5 6 5 D B 20 5 Z1 1 x 1 720 CI Ou log rm APH OJ X EE 1 1 09 5 E 720 LINE ALPHA log T ALPHA O X CE 1 r OJ 1 Qr DJ 5 D 3 720 2 To convert rectangular coordinates v2 v2 to polar coordinates Deg LX sit 4 Pol Wa 2 HF O J 2 OIE r 2 0 45 EU sar H Pol Wa 2 O er O Ge 20 OE r 2 d 45 To convert polar coordinates v2 45 to rectangular coordinates Deg El aA Rec S2060 450E X1 Y 1 O13 b 3 40320 LO 5 CE 3 D Hr kA x E 40320 Z4 l2 7 x 2210 MATH GE fm Abs 2 7 X 2 E 10 LINE EE yg Abs 2 E 7 D 9 2 E 10 J5 To obtain three random three digit integers 1000 Ranz z 459 48
22. 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 45 keys e To return to the Coefficient Editor while any solution is displayed press AC Note Even if Natural Display is selected the solutions of simultaneous linear equations are not displayed using any form that includes V e Values cannot be converted to engineering notation on the solution screen E 35 e A message appears to let you know when there is no solution or when there are infinite solutions Pressing or will return to the Coefficient Editor 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 EQN Mode Calculation Examples f x 2y 3 2x 3y 4 mo 5 EQN 1 anX bnY Cn 1 2 2 3 2 2 B 3 z 4 z B Y 2 X y Z 2 x y z 0 c y z7 4 8 EQN 2 anX bs Y CZ di 1 2 cj 1 3 1 z 2 z 1 3 1 BO 1 30 3 cj 1 z 1 z 1 2 46 X 1 Y 2 O Z 3 fp 2x 3x 6 0 D woe 5 EQN 3 aX bX c 0 22038068 E X z 31197 X d X Value Minimum Y Value Minimum 5 The local minimum value is displayed when a gt 0 The local maximum value is displayed when a 0 x 2 2x 2 0 UN
23. press and then use and amp to scroll the input expression 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 t for example you can make it the argument of V resultin in g g 6 L i M 7 f To input 1 and then change it to 1 1 MATH D Math A TT br H INS LE O Math a D Math A HE As shown above the value or expression to the right of the cursor after be INS are pressed becomes the argument of the function that is specified next The range encompassed as the argument is everything up to the first open parenthesis to the right if there is one or everything up to the first function to the right sin 30 log2 4 etc This capability can be used with the following functions en VE VE at 20 1 fos x VE log 10 surr in e vm x9 SHE vu Cvm SMF hye 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 p INS The cursor appears as ll in the insert mode and as mm in the overwrite mode Note Natural Display always uses the insert mode
24. screen and perform the calculation VctA VctB 5 VECTOR 8 VctA 5 VECTOR 4 VctB e This will display the VctAns screen with the calculation results VCTD VCTI Ain Ans stands for WCTATVCTA lt _ lt E A Note VctAns stands for Vector Answer Memory See Vector Answer Memory for more information 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 Toinsert the VctAns variable into a calculation perform the following key operation 5 VECTOR 6 VctAns e Pressing any one of the following keys while the VctAns screen is displayed will switch automatically to the calculation screen 4 X CG The calculation screen will show the VctAns variable followed by the operator for the key you pressed E 41 Assigning and Editing Vector Variable Data Important The following operations are not supported by the Vector Editor M M M fa STO Pol Rec R and multi statements also cannot be input with the Vector Editor To assign new data to a vector variable 1 Press 5 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
25. 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 mo SETUP amp 8 4 CONT Next use 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 rD 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 umi and then the key to input the applicable variable constant or symbol Purple or enclosed in purple brackets Enter the CMPLX Mode to
26. x 101 lt a S b lt 1 x 1079 See o Note The following cannot be used in f x Pol Rec R The following cannot be used in f x a or b J d dx X I1 T Determines the product of f x over a given range The calculation formula is Hoe Ka x fla 1 x flat2 x x fib The Natural Display b input suia IS Hof while the Linear Display input syntax is IT x b a and b are integers in the range of a lt 1 x 10 b lt 1x10 ax b See f1 Note The following cannot be used in f x Pol Rec R The following cannot be used in f x a or b J d dx II Pol Rec Pol converts rectangular coordinates to polar coordinates while Hec converts polar coordinates to rectangular coordinates See Z2 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 z Coordinates Rec Coordinates Pol 180 x Factorial function See Z3 Abs Absolute value function Note that the input method is different depending upon whether you are using Natural Display or Linear Display See Ga 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 Js Ranint For input of the function of the form Ranlnt a b
27. 0 0 n 1x v peran T r are integers 1 x n n r lt 1 x 10199 0 n lt 1x10 0 r lt n n rare integers 1 x nir lt 1x10 or 1 x nl n r lt 1 x 10100 Pol Ixl y 9 999999999 x 109 m vx y x 9 999999999 x 10 0 zr zx 9 999999999 x 1099 ecir 0 Same as sinx al 5 c XM x 10 0 x b c Bu The display seconds value is subject to an error of 1 at the second decimal place Ix lt 1 x 10199 Decimal lt gt Sexagesimal Conversions 0 0 0 x 9999999 59 59 x gt 0 21x 10 9 lt ylogx lt 100 x 0 y gt 0 x lt 0 y n Oo 7 m n are integers 2n 1 However 1 x 10 lt ylog x lt 100 y gt 0 x 0 1 x 101 lt 1 x logy lt 100 m yz0 x gt 0 gt Vy y lt 0 x 2n 1 m O m n are integers However 1 x 10 9 lt 1 x log y lt 100 by Total of integer numerator and denominator must be 10 a C TP or less including division marks Ranlnt a a lt b lal lbl lt 1x10 9 b a lt 1x10 E 53 e Precision is basically the same as that described under Calculation Range and Precision above eX 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 e The range for calculation results that can be displayed in x form when using Natural Display is Ixl lt
28. 0 GJ 2 45 2 HFT C3 7 45 ir 2 CMPLX 3 gt a bi 3 V2 V 2i Using CALC CALC lets you save calculation expressions that contain variables which you can then recall and execute in the COMP Mode m 1 and the CMPLX Mode mo 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 Equalities with a single variable on the left and an expression including variables on the right A B C Y X X 4 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 Math Prompts for input of a value for A Current value of A Math A 5 10 GAYE cac or ay p Math A BE SA B 41 To exit CALC E 26 f To store A Bi and then determine V3 i 1 V3i using polar coordinates rZ0 A 2 CMPLX m p D Math c A CE ui E B Ene 2 2 CMPLX 3 gt r Z0 cac v amp 3 D G 1 3 ea cc or 2 1 E v 3 DJ 3 BL To exit CALC Note During the time from when you press until you exit CALC by pressing 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 wove 1 only The following describes the types o
29. 117 Results shown here are for illustrative purposes only Actual results will differ Z6 To generate random integers in the range of 1 to 6 uei C Ranint 1 sar D 6 D E 2 6 B 1 Results shown here are for illustrative purposes only Actual results will differ Z7 To determine the number of permutations and combinations possible when selecting four people from a group of 10 Permutations 10 nPr 4 E 5040 Combinations 10 nCr 4 a 210 O18 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 mo SETUP 6 Fix 3 10 3 3 XJ 3 3 10 000 far 9 Rnd 10 E 3 0 X 3 E 9 999 E 24 Z9 To determine the greatest common divisor of 28 and 35 wend X GCD 28 ser D 35 D 7 To determine the least common multiple of 9 and 15 AP LCM 9 sir D 15 D 45 O20 To extract the integer part of 3 5 Int O 3 5 D B 3 O21 To determine the largest integer that does not exceed 3 5 Intg cj 3 5 D 4 Complex Number Calculations CMPLX To perform complex number calculations first press 2 CMPLX to enter the CMPLX Mode You can use either rectangular coordinates a bi or polar coordinates r 0 to input complex numbers Complex number calculation results are displayed in accordance with the complex number format setting on the setup menu f 2 6i 21 3 i Complex number format a
30. 3 2 4 2 5 2 6 3 7 4 9 2 10 1 to determine the normalized variate t when x 3 and P t at that point up to three decimal places Fix 3 SETUP 4 STAT 1 ON uoc SETUP 6 Fix 3 t 3 STAT 1 1 VAR 0 z 1 EJ 2 3 3 3J 4 3J 5 3J 6 3 7 B 9 z 10 z 0006261626262636 4 3 2 3J 1 zj E 32 3 sir 1 STAT DIST 5 Distr 4 gt S STAT PLANS 1 STAT DIST 5 Distr 1 P ns D z Results Normalized variate Pf 0 762 P t 0 223 Base 7 7 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 x3 DEC for decimal x HEX for hexadecimal les BIN for binary or m OCT for octal To enter the BASE N Mode switch to the binary mode and calculate 112 12 4 BASE N a tes BIN Innnnnonnpnnontnn HI 16168 aenonnonnonno Goo Cu C m Continuing from above switch to the hexadecimal mode and calculate 1 F s 116 CI ru C Continuing from above switch to the octal mode and calculate 8 18 Lo m m OCT 7 E 1 B bappoanpGT Note Usethe following keys to input the letters A through F for hexadecimal value
31. 50 Em one 1 INEQ 2 aX bX cX d Pa 54 M 1 aX bX cX d gt 0 ax gt bHE 04 4020 3 z 3 ZJ oJ 1 2 d D Math m DAS BART vey zat D Math Math ASKERLER DOO diken ZL cy D Note Solutions are displayed as shown acxzBsi Cex here when Linear Display is selected A 1 Enc 0 465 762601565 Special Solution Display e All Real Numbers appears on the solution screen when the solution of an inequality is all numbers pg xso Tw uoo 1 NEO 1 aX bX c 3 aX bX c 0 1eoBo0G amp All Real Numbers e No Solution appears on the solution screen when no solution exists for an inequality such as X lt 0 Using VERIFY VERIF VERIFY is a function you can use to verify whether an input equality or inequality is true indicated by TRUE or false indicated by FALSE The following shows the general procedure for using VERIFY f To verify whether 4 9 12 istrue QING 1 Press Gn 2 VERIF to enter the VERIFY Mode TRUE FALSE E 45 2 Input 4V9 12 4 va 9 6 VERIFY 1 2 12 e You can select the equality symbol or inequality symbol from the menu that appears when you press 6 VERIFY 3 To verify press You can input the following expressions for verification in the VERIFY Mode Equalities or inequalities that include one relational operator 4 v16 443 7 gt 3 14 2 55 8x6 lt 2 4 6 x2 etc
32. 7 det MatA D 1 A 5 Obtain the transposition of MatC Trn MatC A MATRIX Trn Matc 0 E fin 4 L 6 Obtain the inverse matrix of MatA MatA Note You cannot use for this input Use the key to input Hn Maas men L 7 Obtain the absolute value of each element of MatB Abs MatB n Er Abs MatBo E j A 8 Determine the square and cube of MatA MatA MatA Note You cannot use for this input Use to specify squaring and x3 to specify cubing mmaa me a Hn Mam m E sg 12 3 La Determine the MatA 4 5 6 row echelon form 8 9 Ar Ac Gir 4 MATRIX 0 Ref MatA D SB m me ar 12 3 Z0 Determine the MatA 4 5 6 reduced row echelon form 8 9 Ar ac Gir 4 MATRIX 2 Rref MatA D B m 3 Creating a Number Table from Two Functions TABLE TABLE generates a number table based on one or two functions You can use the function f x or the two functions f x and g x See Configuring the Calculator Setup for more information Perform the following steps to generate a number table 1 Press TABLE to enter the TABLE Mode 2 Use the X variable to input two functions one in the format f x and the other in the format g x E 39 e Be sure to input the X variable umy O X when generating a number table Any variable other than X is handled as a constant e f you are using a single function input a function in the format fx only
33. A im I 45 E 6 D f 16 28 45 DN 1 Omm CD 1 642 8 2 e ALPHA va IE 8 E Gp f To confirm the following 0 123 129 0 1234 1234 1534 12345 999 9999 0 12345 99999 ATH 1234 3 9999 5 12345 E 99999 E 13 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 V form and decimal form or its xt form and decimal form fp n n 0 5235987756 MATH HFT GA x GJ 6 E Tr 0 5235987756 ff V2 2 x V3 V6 4 2v3 5 913591358 MINI Om 20H20 03 v6 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 m 165 0 2 bo 145 f P4702 ma 16465 145 6 amp 9 0 2 Important Depending on the type of calculation result that is on the display when you press the key the conversion process may take some time to perform With certain calculation results pressing the key will not convert the displayed value When ON is selected for Rdec on the setup menu pressing will switch the calculation result to recurring decimal form For details see Recurring Decimal Calculations e You cannot switch from decimal form to mixed fraction form if the total number of digits used in the mixed fraction including integer numerator denominator and separator
34. M Continuing 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 PreAns memory contents are retained even if you press and turn off the calculator without exiting the COMP Mode Perform the following procedure when you want to clear the contents of all memories 9 CLR 2 Memory Yes Remainder Calculations You can use the R function in order to obtain the quotient and remainder in a division calculation f To calculate the quotient and remainder of 5 2 MATH 5 APA 5 R 2 B Quotient Remainder Quotient Remainder E 18 Note Only the quotient value of a R calculation is stored in Ans memory e Assigning the result of a remainder division calculation to a variable will assign the quotient value only Performing the operation 5 amp lt R 2 c STO D X which assigns the result of 5 R2 to X will assign a value of 2 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 E 5 10 2 Operation of the and keys is disabled while a remainder division result is on the display Cases when Remainder Division becomes Non remainder Division If either of the following conditions exists when you perform a remainder div
35. 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 For details about initialized settings see Configuring the Calculator Setup 4 Initialize all modes and settings by performing the following operation 9 CLR 1 Setup 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 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 h
36. ROR 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 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 e Input a value for the solution variable that is close to the expected solution and try again Insufficient MEM Error Cause An attempt to generate a number table in the TABLE Mode whose conditions cause it to exceed the maximum number of allowable rows The maximum number of rows is 30 when f x is selected for the setup menu table setting and 20 when f x g x is selected Action Narrow the table calculation range by changing the Start End and Step values and try again Time Out Error Cause The current differential or integration calculation ends without the ending condition being fulfilled The current distribution calculation ends without the ending condition being fulfilled Action Differential or integration calculation Try increasing the tol value Note that this also decreases solution precision E 55 Before Assuming Malfunction of the Calculator
37. al SeD U 142557 Return to initial display format Norm 1 1 7 O 14225571423 f 0 142857 0 1428571429 Norm 1 IG i78 lir Display as recurring decimal SeD Decimal value according to Norm 1 setting Heturn to initial display format fraction SeD f 1 7 0 1428571429 Norm 1 0 142857 LINE 1076 l U 1428571429 Display as fraction SeD Display as recurring decimal SeD Return to initial display format Norm 1 SeD 0 14225571423 Conditions for Displaying a Calculation Result as a Recurring Decimal If a calculation result satisfies the following conditions pressing will display it as a recurring decimal value e The total number of digits used in the mixed fraction including integer numerator denominator and separator symbol must be no more than 10 E 12 e The data size of value to be displayed as the recurring decimal must be no larger than 99 bytes Each value and the decimal point require one byte and each digit of the period requires one byte The following for example would require of total of 8 bytes 4 bytes for the values 1 byte for the decimal point 3 bytes for the period 0 123 Note For information about switching the display format of a calculation result when OFF is selected for the Rdec setting on the setup menu see Toggling Calculation Results Recurring Decimal Examples f 0 3 045 0 78 BW OC API ve E 3 8H 440 45 O 2 AP
38. ard case onto the front of the calculator 2 Remove the cover as shown in the illustration and Screw replace the battery taking care that its plus and minus ends are facing correctly 3 Replace the cover 4 Initialize the calculator 9 CLR 3 All amp Yes e Do not skip the above step E 56 Specifications Power Requirements Built in solar cell button battery LR44 GPA76 x 1 Approximate Battery Life 3 years based on one hour of operation per day Operating Temperature 0 C to 40 C 32 F to 104 F Dimensions 11 1 H x 80 W x 162 D mm 3 8 H x 3 e W x 69 5 D Approximate Weight 95 g 3 4 oz including the battery Frequently Asked Questions E How can perform input and display results the same way I did on a model that does not have Natural Textbook Display Perform the following key operation mo SETUP 2 LinelO See Configuring the Calculator Setup on page E 5 for more information E How can change a fraction form result to decimal form How can I change a fraction form result produced by a division operation to decimal form see Toggling Calculation Results on page E 14 for the procedure E What is the difference between Ans memory PreAns 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
39. ation such as division by zero E 54 Action e 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 e The calculation you are performing has caused the capacity of the matrix or vector stack to be exceeded Action e Simplify the calculation expression so it does not exceed the capacity of the stack e 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 Action Make necessary corrections Argument ERROR Cause There is a problem with 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 e 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 Check the dimensions specified for the matrices or vectors to see if they are compatible with the calculation Variable ER
40. cursor is at the end of the input calculation will cause it to jump to the beginning while pressing amp 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 e The cursor will change shape to M when there are 10 bytes or less of allowed input remaining If this happens end calculation input and then press Calculation Priority Sequence The priority 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 ist Parenthetical expressions ogg Functions that require an argument to the right and a closing parenthesis following the argument 3rd Functions that come after the input value x2 x x xl 7 9 gt t powers x roots vc 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 C 2 Sth Since x has a higher priority than the negative sign inputting 2 x Z 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 Metric conversion commands cm in etc
41. e The following cannot be used in the function Pol Rec d dx TI 3 In response to the prompts that appear input the values you want to use pressing z after each one For this prompt Input this otart 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 Pressing while the number table screen is displayed will return to the function input screen in step 2 f To generate a number table for the functions f x x ER and 2 g x 2 x for the range 1 x 1 incremented in steps of 0 5 MATH D Math Z TABLE fCX 14 rr uoo SETUP 5 TABLE 2 f x 9 x 30963 1092 f GO g Math G gi e Pressing without inputting anything for g x will generate a number table based on fx only D 3096391092 a 5 3 D Math Fond btn 2 O 1 amp 1 230 5 B ar E o B 0 5 1 Note e The maximum numbe
42. e result of a calculation that uses Pol Rec H is displayed E 19 Function Calculations For actual operations using each function see the Examples section following the list below T 7 is displayed as 3 141592654 but x 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 Z1 sinh cosh tanh sinh cosh tanh Hyperbolic functions Input a function from the menu that appears when you press yp The angle unit setting does not affect calculations See 2 3 These functions specify the angle unit specifies degrees radians and grads Input a function from the menu that appears when you perform the following key operation s DRG See Z3 10 e Exponential functions Note that the input method is different depending upon whether you are using Natural Display or Linear Display See Z 4 log Logarithmic function Use the key to input log 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 5 In Natural logarithm to base e See Ze X x3 x Vm 9 m Vo x Powers power roots and reciprocals Note that the input met
43. erential 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 Pol Rec R The following cannot be used in f x a b or tol J d dx gt II 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 14 or greater Precautions for Integration Calculation Only e Integration normally requires considerable time to perform e For f x lt 0 where a x zb as in the case of ib 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 f convergence to a solution cannot be found when tol 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
44. f 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 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 II Pol Rec R f To solve y ax b for x when y 0 a 1 and b 2 D Math c Y un cuc A Ax Bl DJ X J b B D Math TA Cac SOLVE Prompts for input of a value for Y Current value of Y ath D M 00910026 ove for Current value of X E 27 D Math Input an initial value for X Here input 1 1 E SPE IES se ecsiceacs To exit SOLVE Solution screen Note During the time from when you press c c SOLVE until you exit SOLVE by pressing ac you should use Linear Display input procedures for input Important 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 e
45. fx LISES PLUS fx 99LES PLUS C User s Guide CASIO Worldwide Education Website http edu casio com CASIO EDUCATIONAL FORUM http edu casio com forum CASIO Contents Important Information salar emire salan isa adamda 2 Sample CDC AUONS sensiz saki aa ii ma araman inanki 2 Initializing the Calculator 2 Salely PRECAUTIONS asia recien iiec beins isi aquas dope Po inen iii 2 Handling PIecaullOPiS EM MC 2 Removing the Hard Case eere 3 Turning Power On and Off 3 Adjusting Display Contrast 3 AVAL 3 Reading the Display eessuesse 4 Using Menus li ERA 5 Specifying the Calculation Mode 5 Configuring the Calculator Setup 5 Inputting Expressions and Values 7 Recurring Decimal Calculations 10 Toggling Calculation Results 14 Basic Calculations I 7 Os 14 Remainder Calculations sees eere 18 Prime Factorization 99 ue
46. he cursor to the appropriate cell input the new value and then press z e Pressing Will clear all of the coefficients to zero Note The following operations are not supported by the Coefficient Editor M M STO Pol Rec R and multi statements also cannot be input with the Coefficient Editor 5 After all the values are the way you want press 5 e This will display the solutions e To return to the Coefficient Editor while the solutions are displayed press Note Values cannot be converted to engineering notation on the solution screen Changing the Inequality Type Press 1 INEQ and then select an inequality type from the menu that appears Changing the inequality type causes the values of all Coefficient Editor coefficients to change to zero INEQ Mode Calculation Examples f 242x 3 lt 0 BW s ce BSc 2 2 5x a in wont Cw 1 INEQ 1 aX bX c axz4bx cx ER m AN D Math IZ i 1 nl 2 aX bX c lt 0 axz4 bxrca Ll D Math b a E 1 B 286 0 3 3 axz4bx4 c 0 3 242x 3z20 ini wove 1 INEQ 1 aX bX c 3 aX bX c 0 asz b5 ci Math 1 2 2 3 Os is ASH BRA Min SA Note Solutions are displayed as shown here when Linear Display is selected E 44 20 920 Ll wove 1 INEQ 2 aX bX cX d ee aX bX cX dz O axo ime 2 2 6 3 3 n D Math S As BEA E AS S5X 39 3x x
47. hods for x Vm Vm and Na are different depending upon whether you are using Natural Display or Linear Display See LI Note The following functions cannot be input in consecutive sequence x X3 X x If you input 2 x x3 for example the final will be ignored To input 52 input 20A press the key and then press x3 EIN e X X5 x can be used in complex number calculations w Function for performing numerical integration using the Gauss Kronrod method Natural Display input syntax is feo while Linear Display input syntax is I 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 s Aa Function for approximation of the derivative based on the central difference method Natural Display input syntax is E F l a while Linear Display input syntax is f x a tol tol specifies tolerance which becomes 1 x 10 19 when nothing is input for tol Also see Integration and Differential Calculation Precautions for more information See 7 9 7 Z Function that for a specified range of f x determines sum X f x b Aa fla 1 f a 2 Ab Natural Display input syntax is 2 x while Linear Display input syntax is X f x a b a and b are integers that E 20 can be specified within the range of 1
48. iable s value This indicator appears after you press Rej 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 The default angle unit is degrees R The default angle unit is radians G 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 yp 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 indicator in the upper right corner of a menu means there is another menu below the current one The A indicator means another menu above Use and amp to switch bet
49. imately 200 bytes of data for the newest calculation You can scroll through calculation history contents using and ff 14152 1681 3 242 4 2 2 343 6 34 3 Scrolls back Scrolls back again NB OE 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 ff 4x8 2 5 145 mm 403256 14 5 4x3 7 1 4 9 Continuing lt bej p DE DE 7 1 E 34 9 Note If you want to edit a calculation when the b indicator is on the right side of a calculation result display see Reading the Display press and then use lt and amp to scroll the calculation E 16 Answer Memory Ans Previous Answer Memory PreAns The last calculation result obtained is stored in Ans answer memory The calculation result obtained prior to the last one is stored in PreAns previous answer memory Displaying the result of a new calculation will move current Ans memory contents to PreAns memory and store the new calculation results in Ans memory PreAns memory can be used only in the COMP Mode PreAns memory contents are cleared whenever the calculator enters another mode from the COMP Mode f To divide the result of 3x 4 by 30 TH sgag
50. ion calculations Pol Rec R J d dx When data is specified using parameter format calculation results are stored in Ans memory An error message appears if the input value is outside the allowable range ERROR will appear in the E 49 Ans column of the List Screen when the value input for the corresponding sample data is outside the allowable range 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 n 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 f To input the scientific constant Co speed of light in a vacuum and display its value CONSTANT Z CONST Humber 1 407 __ 2 8 Co 294 374590 1 f To calculate Co Te MATH amp 3 8 Oam C CONST Ae CONSTI MUE ogg 7g04R0 The following shows the two digit numbers for each of the scientific constants 01 mp proton mass 02 mn neutron mass 03 me electron mass 04 mu muon mass 05 ao Bohr radius 06 h Planck constant 07 UN nuclear magneton 08 uB Bohr magneton os 5 diei cont 10 0 fine structure constant rationalized 11 re classical electron radius 12 Ac Compton wavelength 14 Acp proton Compton 13 yp proton gyro
51. ision operation the calculation will be treated as normal non remainder division e When either the dividend or the divisor is a very large value Example 20000000000 amp R 17 Calculated as 20000000000 17 e When the quotient is not a positive integer or if the remainder is not a positive integer or positive fractional value Example 5 R 2 E gt Calculated as 5 2 Prime Factorization In the COMP Mode you can factor a positive integer up to 10 digits into prime factors up to three digits f To perform prime factorization on 1014 1014 E 1014 E FACT 2x 3x13 When you perform prime factorization on a value that includes a factor that is prime number with more than three digits the part that cannot be factored will be enclosed in parentheses on the display f To perform prime factorization on 4104676 2 2 x 1013 surr E FACT DE xt 10261693 Any one of the following operations will exit prime factorization result display e Pressing b FACT or e Pressing any of the following keys Eg or gt e Using the setup menu to change the angle unit setting Deg Rad Gra or the display digits setting Fix Sci Norm Note You will not be able to execute prime factorization while a decimal value fraction or negative value calculation result is displayed Trying to do so will cause a math error Math ERROR e You will not be able to execute prime factorization while th
52. itten When you press the priority sequence of the input calculation will be evaluated automatically and the result will appear on the display ff 4x sin30 x 30 10 x 3 120 4 X sin 30 DJ X LO 30 EJ 10 XJ 3 D z ps 2l Input of the closing parenthesis is required for sin sinh and other functions that include parentheses These multiplication symbols x can be omitted A multiplication symbol can be omitted when it occurs immediately before an opening 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 7 or e 3 The closing parenthesis immediately before the operation can be omitted Math A ASS NCED KES K b Input example omitting X and 3 operations in the above sinami 30 103 example 4 in 30 D XJ 30H 10 39 3 E MI 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 amp and to move the cursor e When Linear Display is selected pressing 45 will cause the cursor to jump to the beginning of the calculation while will jump to the end When Natural Display is selected pressing E 7 while the
53. magnetic ratio wavelength 15 Acn neutron Compton wavelength 16 Ree Rydberg constant 18 up proton magnetic 17 u atomic mass constant moment 20 un neutron magnetic 19 ue electron magnetic moment moment 21 uu muon magnetic moment 22 F Faraday constant E 50 NA Avogadro constant 24 26 Vm molar volume of ideal gas 273 15K 100kPa 28 23 e elementary charge 25 k Boltzmann constant 27 R molar gas constant o speed of light in vacuum 30 C2 second radiation 29 C1 first radiation constant constant 31 6 Stefan Boltzmann constant 32 eo electric constant 33 uo magnetic constant 34 00 magnetic flux quantum 35 g standard acceleration of 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 2010 recommended values Metric Conversion The calculator s 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 CONV and then input the two digit number that corresponds to the command you want f To convert 5 cm into inches M CONVERSION 5 CONV Humber O1 407 __ ACHR LN
54. matrix La To assign H b 4 to MatC 4 MATRIX 1 Dim 8 Mat 4 2x3 1 3J 0 B o 1 3 0 z oii 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 z To copy matrix variable or MatAns contents 1 Use the Matrix Editor to display the matrix you want to copy e f you want to copy MatA for example perform the following key operation 4 MATRIX 2 Data 1 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 f s MatB or yp MatC e This will display the Matrix Editor with the contents of the copy destination Matrix Calculation Examples The following examples use MatA E 1 and MatB E p from Zi and MatC lO P E 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 3 MatA 4 MatB 5 MatC E 38 A 3 3 x MatA Matrix scalar multiplication An 3GgMatA jir 3 L 4 Obtain the determinant of MatA det MatA 4 MATRIX
55. nputo 33333 0 3 CANI ff To input 1 428571428571 1 428571 CJ ee GS I BEEN D 45571 1 42857 II f To calculate 1 021 2 312 QING 1 C APA e I0 021 E 2 O ug 8 II 312 5S Math A Calculation result displayed as recurring decimal value SeD Note You can specify up to 14 decimal places for the recurring decimal period If you input more than 14 decimal places the value will be treated as a terminating decimal and not a recurring decimal e Recurring decimal value input can be performed regardless of the Rdec setting on the setup menu Displaying a Calculation Result as a Recurring Decimal Value Calculation results that can be displayed as recurring decimal values will be displayed as such when ON is selected for the Rdec setting on the setup menu Pressing the key will cycle between the available calculation result formats as shown below Recurring Decimal Decimal Value According to Display Norm Fix Sci Settings Or Decimal Value According to Display Norm Fix Sci Settings Recurring Decimal f Ll 0 142857 0 1428571429 Norm 1 Xd 1 87 B Display as recurring decimal SeD 0 1422957 Decimal value according to Norm 1 setting 0 14225571423 D Math A Return to initial display format fraction SeD f 1 7 0 142857 0 1428571429 Norm 1 MATH 1 2 7 sary 0 14225571423 Math A Display as fraction SeD Display as recurring decim
56. ot 3 line Note The calculator switches to Linear Display automatically whenever you enter the STAT BASE N MATRIX or VECTOR Mode In this manual the DEW symbol next to a sample operation indicates Natural Display MathO while the NA 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 RRJ symbol next to a sample operation indicates degrees while the ESEl 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 MNJ 100 7 14 286 Fix 3 14 29 Fix2 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 INA 1 7 1 4286 x 10 Sci 5 1 429 x10 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 10 gt Ixl Ixl 10 Norm 2 10 gt Ixl Ixl 10 Example IM 1 200 5 x 10 No
57. peration 1 STAT DIST 5 Distr See Performing Normal Distribution Calculations for details 29 Tloinput 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 1 1 2 2 3 3 4 2 5 1 and calculate the mean and population standard deviation SETUP G 4 STAT 1 ON 3 STAT 1 1 VAR 1 2 2 2 3 2 4 3 5 3 9 1 2 2 2 3 3 2 3 1 STAT DIST 4 Var 3 3 E 1 STAT DIST 4 Var 3 ox E 1 154700538 Results Mean 3 Population Standard Deviation 1 154700538 L3 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 amp 4 STAT 2 OFF wove SETUP 6 Fix 3 3 STAT 2 A BX 20 110 z 200 amp 290 z 9 3150 7310 8800 9310 1 STAT DIST 5 Reg 3 r 0 2253 1 STAT DIST 1 Type 4 In X 1 STAT DIST 8 Reg 3 r E 390 1 STAT DIST 5 Reg 1 A E ali eed E 31 1 STAT DIST 5 Reg 2 B AJRAT Hh Results Linear Regression Correlation Coefficient 0 923 Logarithmic Regression Correlation Coefficient 0 998 Logarithmic Regression Formula
58. r 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 with 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 1 aXX bsY cx unknowns Simultaneous linear equations with _ three EROS 2 anX bnY CnZ dn Quadratic equation 3 aX bX c 0 Cubic equation 4 aX bX cX d 0 3 Use the Coefficient Editor that appears to input coefficient values e To solve 2x x 3 0 for example press 3 in step 2 and then input the following for the coefficients a 2 b 1 c 8 2 z 1 x az e To change a coefficient value you already have input move the cursor to the appropriate cell input the new value and then press z e Pressing Will clear all of the coefficients to zero Important The following operations are not supported by the Coefficient Editor M M M c STO Pol Rec R and multi statements also cannot be input with the Coefficient Editor 4 After all the values are the way you want press 5 e This will display a solution Each press
59. r of rows in the generated number table depends on the setup menu table setting Up to 30 rows are supported for the f x E 40 setting while 20 rows are supported for the f x g x setting e You can 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 f 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 1 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 2 4 Perform the following key operation 5 VECTOR 2 Data 2 VctB 2 2 This will display the Vector Editor for input of the 2 dimensional vector for VctB 5 Input the elements of VctB 3 4 6 Press to advance to the calculation
60. ree 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 Ps 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 E 30 E E O E 39 99 30 ps E 3 00 f Convert 2 15 18 to its decimal equivalent 2 E 15 E 18 pe E 2 15 18 Converts sexagesimal to decimal 2 255 Converts decimal to sexagesimal 2 15 18 E 15 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 z ff 3 3 3x3 3 EE 3 i989 1 3 G9 3 9 6 5 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 B 1234 ENG 1 234x10 ENG 1234x10 Transform the value 123 to engineering notation shifting the decimal point to the left 123 123 ED 0 123x10 9 0 000123x109 Calculation History In the COMP CMPLX or BASE N Mode the calculator remembers up to approx
61. relational operators that are not oriented in the same direction Example 5 6 4 e An expression that contains two of the following operators in any combination Example 4 lt 6 8 e An expression that contains consecutive relational operators Example 5 gt 9 E 46 VERIFY Mode Calculation Examples f To verify log2 log3 log4 2 6 VERIFY 4 3 6 VERIFY 4 lt 4D TRUE f To verify 0 Sj 5 Dn O 6 VERIFY 4 8 amp 9 O x G 8 8 9 z FALSE f To verify 52 25 y65 BW 5 6 VERIFY 1 2 25 siri 6 VERIFY 1 Wa 625 E TRUE Distribution Calculations DIST You can use the procedures below to perform seven different types of distribution calculations 1 Press 3 DIST to enter the DIST Mode 2 On the menu that appears select a distribution calculation type To select this type of calculation Press this key Normal probability density 1 Normal PD Normal cumulative distribution 2 Normal CD Inverse normal cumulative distribution 3 Inverse Normal Binomial probability 4 Binomial PD Binomial cumulative distribution 1 Binomial CD Poisson probability 2 Poisson PD Poisson cumulative distribution 3 Poisson CD 3 Input values for the variables e With Binomial PD Binomial CD Poisson PD and Poisson CD you can input sample data and then perform calculations 4 After inputting values for all of the variables press
62. rm 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 y A Bx Cx 3 _ CX Paired variable X Y logarithmic regression y A Bina Un X Paired variable X Y e exponential regression y Ae L8 e X Paired variable X Y ab exponential regression y AB Paired variable X Y power regression y Ax5 A X B Paired variable X Y inverse regression y A B x Pressing any of the above keys 1 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 DIST 1 Type to display the calculation type selection screen Press this key 6 A B X 8 1 X Inputting Data Use the Stat Editor to input data Perform the following key operation to display the Stat Editor 1 STAT DIST 2 Data The Stat Editor provides 40 rows for data input when there is an X column only or when there are X and Y columns 20 rows when there are X and FREQ columns or 26 rows when there are X Y and FREQ columns 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 set
63. rm 1 0 005 Norm 2 1J ab c 2 d c Specifies either mixed fraction ab c or improper fraction d c for display of fractions in calculation results 3 CMPLX 1 a bi 2 rZ0 Specifies either rectangular coordinates a bi or polar coordinates rZ0 for EQN Mode solutions 4JSTAT JON 2 OFF Specifies whether or not to display a FREQ frequency column in the STAT Mode Stat Editor 5 TABLE f x 2 f x g x Specifies whether to use function f x only or the two functions f x and g x in the TABLE Mode E 6 6 Rdec OJON 2 OFF Specifies whether or not to display calculation results using recurring decimal form amp 7 Disp 1 Dot 27Comma _ 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 8 CONT Adjusts display contrast See Adjusting Display Contrast for details 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 1 Setup Yes Inputting Expressions and Values Basic Input Rules Calculations can be input in the same form as they are wr
64. s CJ A 5 B he C sin D cos E tan F e 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 The input and output 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 Positive 0000000000000000 x x 0111111111111111 Lud Negative 1000000000000000 x x 1111111111111111 E 33 Positive 00000000000 x 17777777777 Negative 20000000000 x S 37777777777 Decimal 2147483648 S x S 2147483647 Positive 00000000 x s 7FFFFFFF Negative 80000000 x FFFFFFFF Octal Hexadecimal 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 ac x DEC rr 3 Gary 3 SMET 3 Gary 3 BASE BASE BASE BASE 1 d 10 4 2 h 10 H 3 b 10 4 4 0 10 B 36 QU me A ME uus ua uu 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
65. symbols is greater than 10 Note With Natural Display MathO pressing instead of after inputting a calculation will display the calculation result in decimal form Pressing after that will switch the calculation result to recurring decimal form fraction form or x form 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 f 545 Um 2603081825 z TROKO HOAS Z LINE 2 amp 3 H 1 8 2 z 7 16 E 14 f 4 33 37 40M 8 5 3801028 1 d 423818228 142 Note 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 form Perform the following key operation Gen a 2 2 To switch a calculation result between fraction and decimal form Press 5 Percent Calculations Inputting a value and pressing 96 causes the input value to become a percent ff 150 x 20 30 150 X 20 95 GJ 30 f Calculate what percentage of 880 is 660 7596 660 880 75 ff Increase 2500 by 15 2875 2500 2500 XJ 15 96 E 2875 f Discount 3500 by 25 2625 3500 3500 X 25 96 E 2625 Deg
66. t contains the sample data you want to edit input the new sample data and then press 5 To delete sample data Move the cursor to the sample data you want to delete and then press QEL To insert sample data Move the cursor to the position where you want to insert the sample data press 1 STAT DIST 2 Edit 1 Ins and then input the sample data To delete all sample data Press 1 STAT DIST 2 Edit 2 Del A DIST Mode Calculation Examples f To calculate the normal probability density when x36 0 2 4 35 l Hormal PD zsblormal CD oe Inverse Normal d one 3 DIST Binomial PD D etl G Normal PD Normal Ph D er 26 Normal Ph Normal pp i E 48 U 176032566354 Result 0 1760326634 e Pressing or returns to the x input screen To calculate binomial probability for the sample data 10 11 12 13 14 when N 15 and p 0 6 1 Lizst Zz var 3 DIST 4 Binomial PD Display the List Screen 1 List 10 11 S 12 13 14 15 E 0 6 DOO Results x binomial probability of 10 0 18594 x binomial probability of 11 0 12678 x binomial probability of 12 0 063388 x binomial probability of 13 0 021942 x binomial probability of 14 4 7018 x 10 e Pressing returns to the N input screen Pressing returns to the List Screen input data samples are stored Note The following cannot be used in the distribut
67. tant 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 n no event shall CASIO Computer Co Ltd be liable to anyone for special collateral incidental or consequential damages in connection with or arising out of the purchase or use of this product and items that come with it 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 f 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 EN BITS CRJ and EJ 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 calculator memory 9 CLR 3 All
68. up menu E 29 LA To select linear regression and input the following data 170 66 173 68 179 75 3 STAT 2 A BX 170 173 179 z O 66 68 75 Important e 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 The following operations are not supported by the Stat Editor M M M ci STO Pol Rec R 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 5 To delete a line In the Stat Editor move the cursor to the line that you want to delete and then press bej 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 DIST 3 Edit 1 Ins To delete all Stat Editor contents In the Stat Editor perform the following key operation 1 STAT DIST 3 Edit 2 Del A Obtaining Statistical Values from Input Data To obtain statistical values press while in the Stat Editor and then recall the statistical variable ox Xx etc you want Supported statistical variables and the keys you should press to recall them are shown below
69. ween 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 3 STAT Calculations involving specific number systems binary octal decimal 4 BASE N hexadecimal Equation solution 5 EQN Matrix calculations 6 MATRIX Me table based on one or TABLE Vector calculations VECTOR Inequality solution 1 INEQ Verify a calculation 2 VERIF Distribution Calculations 3 DIST 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 mo SETUP Next use amp and and the number keys to configure the settings you want Underlined settings are initial defaults E 5 1 MthlO 2 LinelO Specifies the display format Natural Display MthlO causes fractions irrational numbers and other expressions to be displayed as they are written on paper MthIO Selects MathO or LineO MathO displays input and calculation results using the same format as they are written on paper LineO displays input the same way as MathO but calculation results are displayed in linear format Linear Display LinelO causes fractions and other expressions to be displayed in a single j
70. xists 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 y yx Solution Screen Contents Solutions are always displayed in decimal form Equation The equation you input Variable solved for Solution 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 2 asking if you want to continue Press to continue or to cancel the SOLVE operation f To solve y x7 x 1 for x when y 3 7 and 13 Math D APA Gp Y uv cuc Tx m OD 0 23 AA DJ X e 1 D Math P SHIFT SOLVE B D Ma 38 solve f r X E 28 Input an initial value for X Here input 1 1 2 7 3 z B 13 B Statistical Calculations STAT To start a statistical calculation perform the key operation 3 STAT to enter the STAT Mode and then use the screen that appears to select the type of calculation you want to perfo
71. y 2 3857 984 4 2357 532lnx Calculating Estimated Values Based on the regression formula obtained by paired variable statistical calculation the estimated value of y can be calculated for a given x value The corresponding x value two values x and x in the case of quadratic regression also can be calculated for a value of y in the regression formula Za To determine the estimate value for y when x 160 in the regression formula produced by logarithmic regression of the data in Z 3 Specify Fix 3 for the result Perform the following operation after completing the operations in 3 160 sar 1 STAT DIST 8 Reg 5 S D LE 830 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 DIST 5 Distr P Q R These functions take the argument and determine a probability of standard normal distribution as illustrated below P 1 Q 0 R 0 O f O f O t Mf This function is preceded by the argument X and determines the normalized variate X ee l J5 For the single variable data xn freqn 0 1 1 2 2 1
72. z e This displays the calculation results e Pressing or while a calculation result is displayed will return to the input screen of the first variable Note To change the distribution calculation type after you enter the DIST Mode press 1 STAT DIST 1 Type and then select the distribution type you want Distribution calculation accuracy is up to five significant digits E 47 Variables that Accept Input The following are distribution calculation variables that accept input values NOrmal P PN RENE X 0 H Normal CD Lower Upper o u Inverse Normal Area o u Tail setting always left Binomial PD Binomial CD x or List N p Poisson PD Poisson CD x or List u x data o standard deviation o gt 0 u mean Lower lower boundary Upper upper boundary Tail probability value tail specification Area probability value 0 Area 1 List sample data list N number of trials p success probability 0 Sp 1 List Screen Binomial PD Binomial CD Poisson PD Poisson CD With Binomial PD Binomial CD Poisson PD and Poisson CD use the List Screen for sample data input You can input up to 25 data samples for each variable Calculation results are also displayed on the List Screen Distribution calculation type Value at current cursor position X Sample data Ans Calculation results To edit sample data Move the cursor to the cell tha

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