Casio fx 991MS User Guide

Casio fx 991MS - Scientific Display Calculator Manual

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  • Casio fx 991MS | User Guide - 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. E http://world.casio.com/edu_e/
  • Casio fx 991MS | User Guide - Page 2
    CASIO ELECTRONICS CO., LTD. Unit 6, 1000 North Circular Road, London NW2 7JD, U.K.
  • Casio fx 991MS | User Guide - Page 3
    Removing and Replacing the Calculator's Cover • Before starting .....1 Holding the cover as shown in the illustration, slide the unit out of the cover. • After you are finished .....2 Holding the cover
  • Casio fx 991MS | User Guide - Page 4
    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 calculator in this manual. Disposing of the Calculator • Never dispose of the calculator by burning it. Doing so
  • Casio fx 991MS | User Guide - Page 5
    to press the 5 key before using the calculator for the first time. • Even if the calculator is operating normally, replace the battery at least once every three years for the fx115MS/fx-570MS/fx-991MS, or at least once every two years for the fx-95MS/fx-100MS. A dead battery can leak, causing damage
  • Casio fx 991MS | User Guide - Page 6
    trousers or other tight-fitting clothing where it might be subjected 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
  • Casio fx 991MS | User Guide - Page 7
    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 k Variables 17 Scientific Function Calculations .......... 18 kTrigonometric/Inverse
  • Casio fx 991MS | User Guide - Page 8
    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-95MS only 39
  • Casio fx 991MS | User Guide - Page 9
    the "User's Guide 2 (Additional Functions)" for information about modes and their selection. fx-95MS Modes To perform this type of calculation: Perform this To enter key operation: this mode: Basic arithmetic calculations F 1 COMP Standard deviation F 2 SD Regression calculations F 3 REG
  • Casio fx 991MS | User Guide - Page 10
    setup screens. Setup screens are described in the sections of this manual where they are actually used to change the calculator setup. • In this manual, the name of the mode you need to enter in order to perform the calculations being described is indicated in the main title of each section
  • Casio fx 991MS | User Guide - Page 11
    During Input • Use e and r to move the cursor to the location you want. • Press [ to delete the number or function at the current cursor the insert cursor. k Replay Function • Every time you perform a calculation, the replay function stores the calculation formula and its result in replay
  • Casio fx 991MS | User Guide - Page 12
    point exponential notation is used. • To change the exponential display format, press the F key a number of times until you used for integer values with more than 10 digits and decimal values with more than nine decimal places. • All of the examples in this manual show calculation re- sults using
  • Casio fx 991MS | User Guide - Page 13
    • Display the selection screen. fx-95MS: 1 r Other Models: 1 r r • Press the 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
  • Casio fx 991MS | User Guide - Page 14
    Fraction Operations uFraction Calculations • Values are displayed in decimal format automatically whenever the total number of digits of calculations that mix fraction and decimal values are always decimal. uDecimal ↔ Fraction Conversion • Use the operation shown below to convert calculation
  • Casio fx 991MS | User Guide - Page 15
    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. Disp 1 • Display the selection screen. fx-95MS
  • Casio fx 991MS | User Guide - Page 16
    , 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
  • Casio fx 991MS | User Guide - Page 17
    Calculations • You can perform sexagesimal calculations using degrees (hours), minutes, and seconds, and convert between sexagesimal and decimal values. • Example 1: To convert number of decimal places, the number of significant digits, or the exponential display format, press the F key a number
  • Casio fx 991MS | User Guide - Page 18
    .) 200 \ 7 = - 14 = 28.57100 400.00000 The following performs the same calculation using the specified number of decimal places. 200 \ 7 = 28.57100 (Internal rounding) A Q 28.57100 - 14 = 399.99400 • Press F ..... 3(Norm) 1 to clear the Fix specification. • Example 2: 1 Ö 3, displaying
  • Casio fx 991MS | User Guide - Page 19
    Memory. • The result of a calculation can also be used with a subsequent Type A function (x2, x3, x-1, x!, DRG • There are nine variables (A through F, M, X and Y), which can be used to store data, constants, results, and other values. • Use the following operation to delete data assigned to a 17
  • Casio fx 991MS | User Guide - Page 20
    193.2 A j 1 \ 23 = p 1 \ 28 = Scientific Function Calculations COMP Use the F key to enter the COMP Mode when you want to perform calculation. • π = 3.14159265359 k Trigonometric/Inverse Trigonometric Functions • To change the default angle unit (degrees, radians, grads), press the F key a number
  • Casio fx 991MS | User Guide - Page 21
    ҃ π 4 (rad) q ..... 2 (Rad) A V R L 2 \ 2 T = g \ A x = • Example 4: tanҀ1 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: sinhҀ1 30 ҃ 4.094622224 M A j 30 = k Common and Natural Logarithms
  • Casio fx 991MS | User Guide - Page 22
    of fx-570MS/fx-991MS. • Example 6: 1 ҃ 12 1 3 ȕ 1 4 R 3 a , 4 a T a = • Example 7: 8! ҃ 40320 8 A f = • Example 8: To generate a random number between how many different 4-digit values can be produced using the numbers 1 through 7 • Numbers cannot be duplicated within the same 4-digit
  • Casio fx 991MS | User Guide - Page 23
    value of x, or 0 o to display 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/fx-115MS/fx-570MS/ fx-991MS. θ ҃ 1.047197551 0 o • Press 0 n to display the value of r, or 0 o to display
  • Casio fx 991MS | User Guide - Page 24
    -3 (mg) 0.08125 = J Equation EQN Calculations The EQN Mode lets you solve equations up to three degrees and simultaneous linear equations with up to three 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
  • Casio fx 991MS | User Guide - Page 25
    final coefficient (c for a quadratic equation, d for a cubic equation), you can use the [ and ] keys to move between coefficients on the screen and make changes, if you want. • Note that you cannot input complex numbers for coefficients. Calculation starts and one of the solutions appears as soon as
  • Casio fx 991MS | User Guide - Page 26
    = d2 a3x + b3y + c3z = d3 Entering the EQN Mode displays the initial simultaneous equation screen. Unk now ns? 2 3 Use this screen to specify 2 or 3 as the number of un- knowns, and input values for each of the coefficients. Coefficient name a 1? Arrow indicates direction you should scroll to
  • Casio fx 991MS | User Guide - Page 27
    coefficient (c2 for two unknowns, d3 for three unknowns), you can use the [ and ] keys to move between coefficients on the screen and make changes, if you want. • Note that you cannot input complex numbers for coefficients. Calculation starts and one of the solutions appears as soon as you input
  • Casio fx 991MS | User Guide - Page 28
    SD Calculations REG Standard Deviation SD Use the F key to enter the SD Mode when you want to perform statistical calculations using standard deviation. SD F 2 (fx-95MS) F F 1 (Other Models) • Always start data input with A B 1(Scl) = to clear statistical memory. • Input data using the
  • Casio fx 991MS | User Guide - Page 29
    Population Standard Deviation (σn) = 1.316956719 Arithmetic Mean (o) = 53.375 Number of Data (n) = 8 using A G to specify the data frequency (number 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
  • Casio fx 991MS | User Guide - Page 30
    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. L i n Log Ex p 1 23 re Pw r I nv Quad 1 23 • Press the number key (1, 2, or 3) that corresponds to the type of
  • Casio fx 991MS | User Guide - Page 31
    data input with A B 1(Scl) = to clear statistical memory. • Input data using the key sequence shown below. P S • The values produced by a regression calculation depend on the values input, and results can be recalled using the key operations shown in the table below. To recall
  • Casio fx 991MS | User Guide - Page 32
    determine the regression formula terms and correlation coefficient for the data nearby. Next, use the regression formula to estimate atmospheric pressure at 18°C and temperature at 1000 hPa. Finally, calculate the coefficient of determination (r2) and sample covariance . In the REG Mode: 1(Lin
  • Casio fx 991MS | User Guide - Page 33
    U 3 , 1 F = u Logarithmic, Exponential, Power, and Inverse Regression • Use the same key operations as linear regression to recall results for these types of regression termine the regression formula terms for the data nearby. Next, use the 50 23.5 regression formula to estimate the 74 38.0
  • Casio fx 991MS | User Guide - Page 34
    any order, and not necessarily that shown above. • 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
  • Casio fx 991MS | User Guide - Page 35
    error, or press e or r to display the calculation and correct the problem. See "Error Locator" for details. Math ERROR • Causes • Calculation result is outside the allowable calculation range. • An attempt to perform a function calculation using a value that exceeds the allowable input range. • An
  • Casio fx 991MS | User Guide - Page 36
    corrections. k Order of Operations Calculations are performed in the following order of precedence. 1 Coordinate transformation: Pol (x, y), Rec (r, θ) Differentials: d/dx* Integrations: ∫dx* Normal distribution: P(*, Q(*, R(* 2 Type A functions: With these functions, the value is entered and
  • Casio fx 991MS | User Guide - Page 37
    that is so complex that the capacity of a stack is exceeded. • Matrix calculations use up to two levels of the matrix stack. Squaring a matrix, cubing a matrix, or inverting a matrix uses one stack level. (fx-570MS, fx-991MS only) • Example: 1 23 45 123 4 56 7 Numeric Stack 12 23 34
  • Casio fx 991MS | User Guide - Page 38
    Operations." Commands and values are deleted from the stack as the calculation is performed. k Input Ranges Internal digits: 12 Accuracy*: As a rule, accuracy is ±1 at the 10th digit. Functions Input Range sinx DEG 0Ϲ ȊxȊ Ϲ4.499999999҂1010 RAD 0Ϲ ȊxȊ Ϲ785398163.3 GRA 0Ϲ ȊxȊ Ϲ4.999999999҂1010
  • Casio fx 991MS | User Guide - Page 39
    Functions Input Range x 0Ϲ x  1 ҂ 10100 x2 ȊxȊ 1҂ 1050 1/x ȊxȊ 1҂ 10100 ; x G 0 3 x ȊxȊ 1҂ 10100 x! 0Ϲ x Ϲ 69 (x is an integer) nPr 0Ϲ n  1҂1010, 0Ϲ r Ϲ n (n, r are integers) 1Ϲ {n!/(n-r)!}  1҂10100 nCr 0Ϲ n  1҂1010, 0Ϲ r Ϲ n (n, r are integers) 1Ϲ [n!/{r!(n-r)!}]  1҂10100 Pol(x, y)
  • Casio fx 991MS | User Guide - Page 40
    (fx-95MS only) Users of other models should refer to the "User's Guide 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
  • Casio fx 991MS | User Guide - Page 41
    . When this happens, press 5 to turn power back on. Specifications (fx-95MS only) Users of other models should refer to the "User's Guide 2 (Additional Functions)." Power Supply: Single AA-size battery (R6P (SUM-3)) Battery Life: Approximately 17,000 hours continuous display of flashing cursor
  • Casio fx 991MS | User Guide - Page 42
    CASIO COMPUTER CO., LTD. 6-2, Hon-machi 1-chome Shibuya-ku, Tokyo 151-8543, Japan SA02S0A60-2D06P-Er inPtreindteidn inCChihninaa CAC3A13010060367-1-1
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fx-95MS
fx-100MS
fx-115MS
(fx-912MS)
fx-570MS
fx-991MS
User's Guide
k
fx-912MS owners
Please be sure to read the important notice of this manual.
E