Casio fx-991ZA Plus User Manual
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Casio fx-991ZA Plus User Manual

Casio fx-991ZA Plus User Manual

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fx-991ZA PLUS
User's Guide
CASIO Worldwide Education Website
http://edu.casio.com

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Summary of Contents for Casio fx-991ZA Plus

  • Page 1 PLUS User’s Guide CASIO Worldwide Education Website http://edu.casio.com...

  • Page 2: Table Of Contents

    Contents Important Information ............. 2 Sample Operations ..............2 Initializing the Calculator ............2 Safety Precautions ..............2 Handling Precautions .............. 2 Removing the Hard Case ............3 Turning Power On and Off ............3 Adjusting Display Contrast ............ 3 Key Markings ................

  • Page 3: Important Information

    • The contents of this manual are subject to change without notice. • In 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.

  • Page 4: Removing The Hard Case

    • Never try to take the calculator apart. • Use a soft, dry cloth to clean the exterior of the calculator. • 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 their respective owners.

  • Page 5: Reading The Display

    Reading the Display The display of the calculator shows expressions you input, calculation results, and various indicators. Input expression Indicators Math Math Math Math Calculation result • If a ' indicator appears on the right side of the calculation result, it means the displayed calculation result continues to the right.

  • Page 6: Using Menus

    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.
  • Page 7 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 (LineIO) causes fractions and other expressions to be displayed in a single line.

  • Page 8: Inputting Expressions And Values

    c7APO 110 Min. ; 260 Min. You can specify a trigger time of 10 minutes or 60 minutes for Auto Power Off. c8]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.

  • Page 9: Calculation Priority Sequence

    • When inputting a function that uses commas (such as Pol, Rec, and RanInt#), be sure to input the closed parentheses required by the expression. If you do not input closed parentheses, parentheses may not be inserted automatically as described above. Important: If you execute a calculation in which a multiplication sign has been omitted immediately before a fraction (including mixed fractions), parentheses will be inserted automatically as shown in the examples below.
  • Page 10 Negative sign (–), base- symbols (d, h, b, o) Note: When squaring a negative value (such as –2), the value being squared must be enclosed in parentheses ((- 2 )w =). Since has a higher priority than the negative sign, inputting - 2 w= would result in the squaring of 2 and then appending a negative sign to the result.

  • Page 11: Toggling Calculation Results

    To input 1 + 7 and then change it to 1 + Math Math 1 + 7 ' 6 Math Math dddd1Y(INS) Math Math As shown above, the value or expression to the right of the cursor after 1Y(INS) are pressed becomes the argument of the function that is specified next.

  • Page 12: Basic Calculations

    While Linear Display is selected, each press of f will toggle the currently displayed calculation result between its decimal form and fraction form. 1 ÷ 5 = 0.2 = 1 1 / 5 = 1 – 4 = 0.2 1 - 4 ' 5 = Important: •...

  • Page 13: Using Engineering Notation

    Calculate what percentage of 880 is 660. (75%) 660 / 880 1((%)= Increase 2500 by 15%. (2875) 2500 + 2500 * 15 1((%)= 2875 Discount 3500 by 25%. (2625) 3500 - 3500 * 25 1((%)= 2625 Degree, Minute, Second (Sexagesimal) Calculations Performing an addition or subtraction operation between sexagesimal values, or a multiplication or division operation between a sexagesimal value and a decimal value will cause the result to be displayed as a sexagesimal value.
  • Page 14 Calculation History In the COMP, CMPLX, or BASE-N Mode, you can scroll through calculation history contents using f and c. 1 + 1 = 1 + 1 = 2 2 + 2 = 2 + 2 = 4 3 + 3 = 3 + 3 = 6 (Scrolls back.) f (Scrolls back again.) f...
  • Page 15 For T (Fibonacci sequence), determine the sequence = 1. B from T to T . Note however, that T = 1 and T (Ans = T = 1) (Ans = T = 1, PreAns = T = 1) = 1 + 1 G+SG(PreAns)= (Ans = T = 2, PreAns = T...

  • Page 16: Prime Factorization

    To subtract the result of 10 + 5 from M 10 + 5 1l(M–) (Continuing) tl(M) To recall the contents of M (Continuing) 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 A, change the calculation mode, or turn off the calculator.
  • Page 17 −1 −1 −1 sin, cos, tan, sin , cos , tan : Trigonometric functions. Specify the angle unit before performing calculations. See −1 −1 −1 sinh, cosh, tanh, sinh , cosh , tanh : Hyperbolic functions. Input a function from the menu that appears when you press w. The angle unit setting does not affect calculations.
  • Page 18 Pol, Rec : Pol converts rectangular coordinates to polar coordinates, while Rec converts polar coordinates to rectangular coordinates. See Specify the angle unit before Pol( ) = ( Rec( , ) = ( performing calculations. The calculation result for and for are each assigned respectively to variables X and Y.
  • Page 19 Precautions for Differential Calculation Only • If convergence to a solution cannot be found when input is omitted, the value will be adjusted automatically to determine the solution. • 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.
  • Page 20 To calculate ln 90 (= log 90) to three significant digits (Sci 3) 1N(SETUP)7(Sci)3 i 90 )= 4.50×10 1.2 × 10 = 1200 B 1.2 * 10 6 3 = 1200 B ( 1 + 1 )6 2 + 2 = (1+1) = 16 ( 5 x)1w(...

  • Page 21: Complex Number Calculations (Cmplx)

    |2 – 7| × 2 = 10 1w(Abs) 2 - 7 e* 2 = 1w(Abs) 2 - 7 )* 2 = To obtain three random three-digit integers 1000 1.(Ran#)= (Results shown here are for illustrative purposes only. Actual results will differ.) To generate random integers in the range of 1 to 6 S.(RanInt) 1 1)(,) 6 )= (Results shown here are for illustrative purposes only.

  • Page 22: Using Calc

    CMPLX Mode Calculation Examples B (Complex number format: –1 (1 – ( 1 -W( ))E= (1 + + (1 – = – 4 – 2 ( 1 +W( ))6 4 e+( 1 -W( –4–2 ))w= To obtain the conjugate complex number of 2 + 3 (Complex number format: 12(CMPLX)2(Conjg) 2 + 3 W(...

  • Page 23: Using Solve

    Math Math 5 = 10 = Math Math s (or =) Math Math 7 = 20 = To exit CALC: A and then determine ' 3 + , 1 + ' 3 To store A + B using polar ∠ ) coordinates ( N2(CMPLX) CMPLX...
  • Page 24 To solve when = 0, = 1, and = –2 Math Math Sf(Y)Ss(=)S-(A) S)(X)w+Se(B) Math Math 1s(SOLVE) Prompts for input of a value for Y Current value of Y Math Math 0 = 1 =- 2 = Current value of X Math Math Input an initial value for X (Here, input 1):...

  • Page 25: Statistical Calculations (Stat)

    Continue Screen SOLVE performs convergence a preset number of times. If it cannot find a solution, it displays a confirmation screen that shows “Continue: [=]”, asking if you want to continue. Press = to continue or A to cancel the SOLVE operation. To solve –...
  • Page 26 Paired-variable (X, Y), exponential regression B^X) • = AB ) 7(A X^B) Paired-variable (X, Y), power regression • Paired-variable (X, Y), inverse regression 8(1/X) = A + B/ 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 11(STAT/DIST)1(Type) to display the calculation type selection screen.
  • Page 27 Obtaining Statistical Values from Input Data To obtain statistical values, press A while in the Stat Editor and then , Σ recall the statistical variable (σ , etc.) you want. Supported statistical variables and the keys you should press to recall them are shown below. For single-variable statistical calculations, the variables marked with an asterisk (*) are available.
  • Page 28 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: ( = (20, 3150), (110, 7310), (200, 8800), (290, 9310). Specify Fix 3 (three decimal places) for results. 1N(SETUP)c4(STAT)2(OFF) 1N(SETUP)6(Fix)3 N3(STAT)2(A+BX)

  • Page 29: Base- N Calculations (Base-N)

    P, Q, R: These functions take the argument and determine a probability of standard normal distribution as illustrated below. This function is preceded by the argument X, and determines the normalized variate For the single variable data { n ; freq n } = {0;1, 1;2, 2;1, 3;2, 4;2, 5;2, 6;3, 7;4, 9;2, 10;1}, to determine the normalized variate (' ) when = 3, and P(...
  • Page 30 Continuing from above, switch to the hexadecimal mode and calculate 1F A6(HEX) 1 t(F)+ 1 = Continuing from above, switch to the octal mode and calculate Ai(OCT) 7 + 1 = Note: • Use the following keys to input the letters A through F for hexadecimal values: -(A), $(B), w(C), s(D), c(E), t(F).

  • Page 31: Equation Calculations (Eqn)

    × 37 To calculate 15 in the decimal mode, and then convert the result to hexadecimal, binary, and octal Ax(DEC) 15 * 37 = 6(HEX) 0000022B l(BIN) 0000001000101011 i(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.
  • Page 32 3(aX Quadratic equation + bX + c = 0) 4(aX Cubic equation + bX + cX + d = 0) 3. Use the Coefficient Editor that appears to input coefficient values. – 3 = 0, for example, press 3 in step 2, and then input •...

  • Page 33: Matrix Calculations (Matrix)

    – 3 – 6 = 0 N5(EQN)3(aX + bX + c = 0) 3 + 57 2 =- 3 =- 6 == 3 – 57 (X-Value Minimum=)* – (Y-Value Minimum=)* * The local minimum value is displayed when 0. The local maximum value is displayed when –...
  • Page 34 5. Input the elements of MatB: 2 =- 1 =- 1 = 2 =. 6. Press A to advance to the calculation screen, and perform the first calculation (MatA×MatB): 14(MATRIX)3(MatA)*14(MATRIX) 4(MatB)=. • This will display the MatAns screen with the calculation results. “Ans”...
  • Page 35 2. Use the Matrix Editor that appears to edit the elements of the matrix. • Move the cursor to the cell that contains the element you want to change, input the new value, and then press =. To copy matrix variable (or MatAns) contents: 1.

  • Page 36: Creating A Number Table From Two Functions (Table)

    Determine the MatA= row echelon form. A!4(MATRIX)c1(Ref) MatA)= Determine the MatA= reduced row echelon form. A!4(MATRIX)c2(Rref) MatA)= Creating a Number Table from Two Functions (TABLE) TABLE generates a number table based on one or two functions. You can use the function ) or the two functions ) and ).

  • Page 37: Vector Calculations (Vector)

    To generate a number table for the functions − for the range –1 1, incremented in steps of 0.5 Math Math N7(TABLE) 1N(SETUP)c5(TABLE)2(f(x),g(x)) Math Math S)(X)x+ 1 ' 2 Math Math • Pressing = without inputting anything for ) will generate a number table based on ) only.
  • Page 38 3. Input the elements of VctA: 1 = 2 =. 4. Perform the following key operation: 1 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.
  • Page 39 To copy vector variable (or VctAns) contents: 1. Use the Vector Editor to display the vector you want to copy. • If you want to copy VctA, for example, perform the following key operation: 15(VECTOR)2(Data)1(VctA). • If you want to copy VctAns contents, perform the following to display the VctAns screen: A15(VECTOR)6(VctAns)=.

  • Page 40: Distribution Calculations (Dist)

    (1w(Abs)VctA)1w(Abs) VctB))= 1c(cos –1 )G)= Distribution Calculations (DIST) You can use the procedures below to perform seven different types of distribution calculations. 1. Press Nc1(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: 1(Normal PD)
  • Page 41 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...
  • Page 42 To calculate binomial probability for the sample data {10, 11, 12, 13, 14} when N=15 and p=0.6 Nc1(DIST)4(Binomial PD) 1(List) Display the List Screen: • To specify data using parameter format, press 2(Var). 10 = 11 = 12 = 13 = 14 = 15 = 0.6 = ecccc...

  • Page 43: Scientific Constants

    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 π), which can be used inside of calculations. To input a scientific constant into a calculation, press 17(CONST) and then input the two-digit number that corresponds to the constant you want.

  • Page 44: Metric Conversion

    26: (Vm) molar volume of ideal 25: (k) Boltzmann constant gas (273.15K, 100kPa) 27: (R) molar gas constant 28: (C ) speed of light in vacuum 30: (C ) second radiation 29: (C ) first radiation constant constant 31: (σ) Stefan-Boltzmann constant 32: (ε...

  • Page 45: Calculation Ranges, Number Of Digits, And Precision

    The following shows the two-digit numbers for each of the metric conversion commands. 01: in ' cm 02: cm ' in 03: ft ' m 04: m ' ft 05: yd ' m 06: m ' yd 07: mile ' km 08: km ' mile 09: n mile ' m 10: m ' n mile...
  • Page 46 –1 –1 9.999999999 × 10 –1 sinh 230.2585092 cosh 4.999999999 × 10 –1 sinh 4.999999999 × 10 –1 cosh 9.999999999 × 10 tanh 9.999999999 × 10 –1 –1 tanh 9.999999999 × 10 –9.999999999 × 10 99.99999999 –9.999999999 × 10 230.2585092 1 ×...

  • Page 47: Errors

    Total of integer, numerator, and denominator must be 10 digits or less (including division marks). | , | 1 × 10 1 × 10 – RanInt#( • Precision is basically the same as that described under “Calculation Range and Precision”, above. •...
  • Page 48 input range (particularly when using functions). • The calculation you are performing contains an illegal mathematical operation (such as division by zero). Action: • Check the input values, reduce the number of digits, and try again. • 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.

  • Page 49: Before Assuming Malfunction Of The Calculator

    without the ending condition being fulfilled. Action: Differential or integration calculation: Try increasing the value. Note that this also decreases solution precision. Before Assuming Malfunction of the Calculator... Perform the following steps whenever an error occurs during a calculation or when calculation results are not what you expected. If one step does not correct the problem, move on to the next step.

  • Page 50: Specifications

    Perform the following operation: 19(CLR)1(Setup)=(Yes) k When I execute a function calculation, why do I 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.
  • Page 51 Manufacturer: CASIO COMPUTER CO., LTD. 6-2, Hon-machi 1-chome Shibuya-ku, Tokyo 151-8543, Japan Responsible within the European Union: CASIO EUROPE GmbH Casio-Platz 1 22848 Norderstedt, Germany This mark applies in EU countries only.
  • Page 52 CASIO COMPUTER CO., LTD. 6-2, Hon-machi 1-chome Shibuya-ku, Tokyo 151-8543, Japan SA1406-A © 2014 CASIO COMPUTER CO., LTD.

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