Casio fx 991MS - Scientific Display Calculator, User Manual

Page 1: ...fx 95MS fx 100MS fx 115MS fx 912MS fx 570MS fx 991MS User s Guide kfx 912MS owners Please be sure to read the important notice of this manual http world casio com edu_e E ...

Page 2: ...CASIO ELECTRONICS CO LTD Unit 6 1000 North Circular Road London NW2 7JD U K ...

Page 3: ...as shown in the illustration slide the unit out of the cover After you are finished 2 Holding the cover as shown in the illustration slide the unit out of the cover Always slide the keyboard end of the unit into the cover first Never slide the display end of the unit into the cover 1 2 ...

Page 4: ...k and dam age nearby items and can create the risk of fire and personal injury Always make sure that the battery s positive k and negative l ends are facing correctly when you load it into the calculator Remove the battery if you do not plan to use the calculator for a long time fx 95MS 100MS 570MS Use only the type of battery specified for this calcu lator in this manual Disposing of the Calculat...

Page 5: ...years for the fx 95MS fx 100MS A dead battery can leak causing damage to and mal function of the calculator Never leave a dead battery in the calculator The battery that comes with this unit discharges slightly during shipment and storage Because of this it may require replacement sooner than the normal expected battery life Low battery power can cause memory contents to become corrupted or lost c...

Page 6: ... sers or other tight fitting clothing where it might be sub jected to twisting or bending Never try to take the calculator apart Never press the keys of the calculator with a ball point pen or other pointed object Use a soft dry cloth to clean the exterior of the cal culator If the calculator becomes very dirty wipe it off with a cloth moistened in a weak solution of water and a mild neutral house...

Page 7: ...play Formats 10 kDecimal Point and Separator Symbols 11 kInitializing the Calculator 11 Basic Calculations 11 kArithmetic Calculations 11 kFraction Operations 12 kPercentage Calculations 14 kDegrees Minutes Seconds Calculations 15 kFIX SCI RND 15 Memory Calculations 16 kAnswer Memory 16 kConsecutive Calculations 17 kIndependent Memory 17 kVariables 17 Scientific Function Calculations 18 kTrigonome...

Page 8: ...version Pol x y Rec r 21 kEngineering Notation Calculations 22 Equation Calculations 22 kQuadratic and Cubic Equations 22 kSimultaneous Equations 24 Statistical Calculations 26 Standard Deviation 26 Regression Calculations 28 Technical Information 32 kWhen you have a problem 32 kError Messages 32 kOrder of Operations 34 kStacks 35 kInput Ranges 36 Power Supply fx 95MS only 38 Specifications fx 95M...

Page 9: ...d k Modes Before starting a calculation you must first enter the cor rect mode as indicated in the table below The following table shows the modes and required operations for the fx 95MS only Users of other mod els should refer to the User s Guide 2 Additional Functions for information about modes and their selection fx 95MS Modes To perform this type of Perform this To enter calculation key opera...

Page 10: ...e sure to check the current calculation mode SD REG COMP and angle unit setting Deg Rad Gra before beginning a calculation k Input Capacity The memory area used for calculation input can hold 79 steps One step is taken up each time you press a number key or arithmetic operator key A A or p key operation does not take up a step so inputting A D for example takes up only one step You can input up to...

Page 11: ... sequentially new to old through past calculations Pressing the e or r key while a replay memory cal culation is on the display changes to the editing screen Pressing the e or r key immediately after you finish a calculation displays the editing screen for that calcula tion Pressing t does not clear replay memory so you can recall the last calculation even after you press t Replay memory capacity ...

Page 12: ... the exponential display format press the F key a number of times until you reach the exponential display format setup screen shown below Press 3 On the format selection screen that appears press 1 to select Norm 1 or 2 for Norm 2 uNorm 1 With Norm 1 exponential notation is automatically used for integer values with more than 10 digits and decimal values with more than two decimal places uNorm 2 W...

Page 13: ...e number key 1 or 2 that corresponds to the setting you want to use 1 Dot Period decimal point comma separator 2 Comma Comma decimal point period separator k Initializing the Calculator Perform the following key operation when you want to initialize the calculation mode and setup and clear re play memory and variables A B 3 All k Arithmetic Calculations Use the F key to enter the COMP Mode when yo...

Page 14: ... of digits of a fractional value integer numerator denominator separator marks exceeds 10 1 5 2 3 13 15 00 13 15 Example 1 2 C 3 1 C 5 Example 2 3 1 4 3 C 1 C 4 1 C 2 C 3 2 3 1 4 11 12 1 2 Example 4 1 6 2 1 1 C 2 1 6 Example 3 2 C 4 2 4 1 2 Results of calculations that mix fraction and decimal val ues are always decimal uDecimal Fraction Conversion Use the operation shown below to convert calculat...

Page 15: ... 1 2 3 00 You can use the display setup Disp screen to specify the display format when a fraction calculation result is greater than one To change the fraction display format press the q key a number of times until you reach the setup screen shown below 1 D i s p Display the selection screen fx 95MS 1 Other Models 1 r Press the number key 1 or 2 that corresponds to the setting you want to use 1 ab...

Page 16: ...p 1 20 A v As shown here if you want to use the current Answer Memory value in a mark up or discount calculation you need to assign the Answer Memory value into a variable and then use the variable in the mark up discount calculation This is because the calculation performed when v is pressed stores a result to Answer Memory before the key is pressed Example 6 If 300 grams are added to a test samp...

Page 17: ...12 34 56 3 45 12 I 34 I 56 I 3 45 43 24 31 2 k FIX SCI RND To change the settings for the number of decimal places the number of significant digits or the exponential dis play format press the F key a number of times until you reach the setup screen shown below 1 2 3 F i x Sc i No rm Press the number key 1 2 or 3 that corresponds to the setup item you want to change 1 Fix Number of decimal places ...

Page 18: ...cant digits Sci 2 F 2 Sci 2 1 3 3 3 01 SCI Press F 3 Norm 1 to clear the Sci specifica tion k Answer Memory Whenever you press after inputting values or an ex pression the calculated result automatically updates An swer Memory contents by storing the result In addition to Answer Memory contents are also up dated with result whenever you press A v A or A j followed by a letter A through F or M X or...

Page 19: ...e to change to Ans indicating it is the value that is currently stored in Answer Memory The result of a calculation can also be used with a sub sequent Type A function x2 x3 x 1 x DRG xy x nPr and nCr k Independent Memory Values can be input directly into memory added to memory or subtracted from memory Independent memory is convenient for calculating cumulative totals Independent memory uses the ...

Page 20: ...you want to perform basic arithmetic calculations COMP F 1 Certain types of calculations may take a long time to complete Wait for the result to appear on the display before start ing the next calculation π 3 14159265359 k Trigonometric Inverse Trigonometric Functions To change the default angle unit degrees radians grads press the F key a number of times until you reach the angle unit setup scree...

Page 21: ...n 1 0 741 36 53844577 q 1 Deg A g 0 741 k Hyperbolic Inverse Hyperbolic Functions Example 1 sinh 3 6 18 28545536 M S 3 6 Example 2 sinh 1 30 4 094622224 M A j 30 k Common and Natural Logarithms Antilogarithms Example 1 log 1 23 0 089905111 R 1 23 Example 2 In 90 loge 90 4 49980967 T 90 ln e 1 T p P Example 3 e10 22026 46579 A U 10 Example 4 101 5 31 6227766 A Q 1 5 Example 5 24 16 2 W 4 ...

Page 22: ... 2 L 3 L 5 Example 2 3 5 3 27 1 290024053 A D 5 A D R D 27 T 0 66400 Example 8 To generate a random number between 0 000 and 0 999 A M The above value is a sample only Results differ each time Example 9 3π 9 424777961 3 A x Example 10 To determine how many different 4 digit values can be produced using the numbers 1 through 7 Numbers cannot be duplicated within the same 4 digit value 1234 is allow...

Page 23: ...nversion Pol x y Rec r θ Calculation results are automatically assigned to vari ables E and F Example 1 To convert polar coordinates r 2 60 to rectangular coordinates x y Deg x 1 A F 2 P 60 T y 1 732050808 0 o Press 0 n to display the value of x or 0 o to dis play the value of y Example 2 To convert rectangular coordinates 1 3 to polar coordinates r Rad r 2 f 1 P L 3 T A f in the case of fx 100MS ...

Page 24: ...e unknowns Use the F key to enter the EQN Mode when you want to solve an equation EQN F F 1 fx 95MS F F F 1 Other Models k Quadratic and Cubic Equations Quadratic Equation ax2 bx c 0 Cubic Equation ax3 bx2 cx d 0 Entering the EQN Mode and pressing r displays the ini tial quadratic cubic equation screen Use this screen to specify 2 quadratic or 3 cubic as the degree of the equation and input values...

Page 25: ... d 2 x1 2 x2 1 x3 1 If a result is a complex number the real part of the first solution appears first This is indicated by the R I symbol on the display Press A r to toggle the display between the real part and imaginary part of a solution Any time until you input a value for the final coefficient c for a quadratic equation d for a cubic equation you can use the and keys to move between coefficien...

Page 26: ... Simultaneous Linear Equations with Three Unknowns a1x b1y c1z d1 a2x b2y c2z d2 a3x b3y c3z d3 Entering the EQN Mode displays the initial simultaneous equation screen k Simultaneous Equations 2 3 Unknowns Use this screen to specify 2 or 3 as the number of un knowns and input values for each of the coefficients 0 a1 Element value Coefficient name Arrow indicates direction you should scroll to view...

Page 27: ...ns appears as soon as you input a value for the final coefficient 0 x Solution Variable name Arrow indicates direction you should scroll to view other solutions Press the key to view other solutions Use and to scroll between all of the solutions for the equation Pressing the t key at this point returns to the coefficient input screen Example To solve the following simultaneous equations 2x 3y z 15...

Page 28: ...late values for n Σx Σx2 o σn and σn 1 which you can recall using the key opera tions noted nearby To recall this type of value Perform this key operation Σx2 A U 1 Σx A U 2 n A U 3 o A X 1 σn A X 2 σn 1 A X 3 Example To calculate σn 1 σn o n Σx and Σx2 for the following data 55 54 51 55 53 53 54 52 In the SD Mode A B 1 Scl Stat clear 55 S Each time you press S to register your input the number of...

Page 29: ... data item and a separate screen for the data frequency Freq You can then edit the displayed data if you want Input the new value and then press the key to replace the old value with the new one This also means that if you want to perform some other operation calculation recall of statistical calculation results etc you should always press the t key first to exit data display Pressing the S key in...

Page 30: ...orm either the following operations Changing to another mode Changing the regression type Lin Log Exp Pwr Inv Quad 1 2 3 L i n Log Exp 1 2 3 Pw r Inv Quad r e Use the F key to enter the REG Mode when you want to perform statistical calculations using regression REG F 3 fx 95MS F F 2 Other Models Entering the REG Mode displays screens like the ones shown below Press the number key 1 2 or 3 that cor...

Page 31: ... U r 1 Σy A U r 2 Σxy A U r 3 o A X 1 xσn A X 2 xσn 1 A X 3 p A X r 1 yσn A X r 2 yσn 1 A X r 3 Regression coefficient A A X r r 1 Regression coefficient B A X r r 2 Regression calculation other than quadratic regression Correlation coefficient r A X r r 3 m A X r r r 1 n A X r r r 2 The following table shows the key operations you should use to recall results in the case of quadratic regression T...

Page 32: ...mperature at 1000 hPa Fi nally calculate the coefficient of determination r2 and sample covariance Temperature Atmospheric Pressure 10 C 1003 hPa 15 C 1005 hPa 20 C 1010 hPa 25 C 1011 hPa 30 C 1014 hPa In the REG Mode 1 Lin A B 1 Scl Stat clear 10 P1003 S 1 n REG Each time you press S to register your input the number of data input up to that point is indicated on the display n value 15 P 1005 S 2...

Page 33: ...hmic Regression y A BⴢIn x Exponential Regression y AⴢeB x In y In A Bx Power Regression y AⴢxB In y In A BIn x Inverse Regression y A Bⴢ1 x uQuadratic Regression The regression formula for quadratic regression is y A Bx Cx2 In the REG Mode r 3 Quad A B 1 Scl Stat clear 29 P 1 6 S 50 P 23 5 S 74 P 38 0 S 103 P 46 4 S 118 P 48 0 S Example Perform quadratic regression to de termine the regression fo...

Page 34: ...ove Precautions when editing data input for standard devia tion also apply for regression calculations Technical Information k When you have a problem If calculation results are not what you expect or if an error occurs perform the following steps 1 Press A B 2 Mode to initialize all modes and settings 2 Check the formula you are working with to confirm it is correct 3 Enter the correct mode and t...

Page 35: ...s and make sure they are all within the allowable ranges Pay special attention to values in any memory areas you are using Stack ERROR Cause The capacity of the numeric stack or operator stack is exceeded Action Simplify the calculation The numeric stack has 10 lev els and the operator stack has 24 levels Divide your calculation into two or more separate parts Syntax ERROR Cause An attempt to perf...

Page 36: ...ngineering symbols Normal distribution t m m1 m2 n Angle unit conversions DRG Metric conversions 3 Powers and roots xy x 4 ab c 5 Abbreviated multiplication format in front of π e natu ral logarithm base memory name or variable name 2π 3e 5A πA etc 6 Type B functions With these functions the function key is pressed and then the value is entered 3 log In ex 10x sin cos tan sin 1 cos 1 tan 1 sinh co...

Page 37: ...ity Type A function or power or root operations Example 2 4 16 24 16 k Stacks This calculator uses memory areas called stacks to tem porarily store values numeric stack and commands com mand stack according to their precedence during calcu lations The numeric stack has 10 levels and the command stack has 24 levels A stack error Stack ERROR occurs whenever you try to perform a calculation that is s...

Page 38: ...A 0 x 4 999999999 1010 cosx DEG 0 x 4 500000008 1010 RAD 0 x 785398164 9 GRA 0 x 5 000000009 1010 tanx DEG Same as sinx except when x 2n 1 90 RAD Same as sinx except when x 2n 1 π 2 GRA Same as sinx except when x 2n 1 100 sin 1 x 0 x 1 cos 1 x tan 1 x 0 x 9 999999999 1099 sinhx 0 x 230 2585092 coshx sinh 1 x 0 x 4 999999999 1099 cosh 1 x 1 x 4 999999999 1099 tanhx 0 x 9 999999999 1099 tanh 1 x 0 x...

Page 39: ...99999999 1099 θ Same as sinx a b c 1 10100 0 b c x 1 10100 Decimal Sexagesimal Conversions 0 0 0 x 999999 59 x 0 1 10100 ylogx 100 xy x 0 y 0 x 0 y n n is an integer However 1 10100 ylog x 100 y 0 x G 0 1 10100 1 x logy 100 x y y 0 x 0 y 0 x 2n 1 n G 0 n is an integer However 1 10100 1 x log y 100 ab c x 1 1050 SD y 1 1050 REG n 1 10100 x n y n o p n G 0 x n 1 y n 1 A B r n G 0 1 Total of integer ...

Page 40: ...ide 2 Additional Functions This calculator is powered by a single AA size battery Replacing the Battery Dim figures on the display of the calculator indicate that battery power is low Continued use of the calculator when the battery is low can result in improper operation Re place the battery as soon as possible when display fig ures become dim To replace the battery 1 Press A i to turn power off ...

Page 41: ... SUM 3 Battery Life Approximately 17 000 hours continuous display of flashing cursor Approximately 2 years when left with power turned off Dimensions 19 5 H 78 W 155 D mm 3 4 H 31 16 W 61 8 D Weight 130 g 4 6 oz including battery Power Consumption 0 0002 W Operating Temperature 0 C to 40 C 32 F to 104 F Important notice for fx 912MS owners The names fx 912MS Japan domestic model name and fx 115MS ...

Page 42: ...SA0206 E Printed in China CA 310067 1 CASIO COMPUTER CO LTD 6 2 Hon machi 1 chome Shibuya ku Tokyo 151 8543 Japan SA0206 D Printed in China CA 310063 1 ...