Casio FX-115ES PLUS User Manual
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Casio FX-115ES PLUS User Manual

Casio FX-115ES PLUS User Manual

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fx-115ES PLUS
fx-991ES PLUS C
User's Guide
CASIO Worldwide Education Website
http://edu.casio.com
CASIO EDUCATIONAL FORUM
http://edu.casio.com/forum/
E

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  • Page 1 PLUS fx-991ES PLUS C User’s Guide CASIO Worldwide Education Website http://edu.casio.com CASIO EDUCATIONAL FORUM http://edu.casio.com/forum/...

  • 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 1MthIO 2LineIO Specifies the display format. Natural Display (MthIO) causes fractions, Math Math 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.

  • Page 8: Inputting Expressions And Values

    c6Rdec 1ON ; 2OFF Specifies whether or not to display calculation results using recurring decimal form. c7Disp 1Dot ; 2Comma Specifies whether to display a dot or a comma for the calculation result decimal point. A dot is always displayed during input.

  • Page 9: Calculation Priority Sequence

    e while the cursor is at the end of the input calculation will cause it to jump to the beginning, while pressing d 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.

  • Page 10: Correcting And Clearing Expression

    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 × 2). Further input will become impossible if the height of the calculation you are inputting exceeds the allowable limit.

  • Page 11: Recurring Decimal Calculations

    To insert a character or function into a calculation: Use d and e 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.
  • Page 12 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. • Recurring decimal value input can be performed regardless of the Rdec setting on the setup menu.
  • Page 13 Math Math Return to initial display format (Norm 1): 1 = 0.142857 = 0.1428571429 (Norm 1) 1 ' 7 = Display as recurring decimal: Decimal value according to Norm 1 setting: f Return to initial display format (fraction): 1 ÷ 7 = 0.1428571429 (Norm 1) = 0.142857 = 1 / 7 = Display as fraction: Display as recurring decimal:...
  • Page 14 • 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...

  • Page 15: Toggling Calculation Results

    Toggling Calculation Results While Natural Display is selected, each press of f will toggle the currently displayed calculation result between its fraction form and decimal form, its ' form and decimal form, or its π form and decimal form. π ÷ 6 = 1 π...

  • Page 16: Percent Calculations

    1 = 1 4 -1'(() 3 e 1 c 2 = 4 − 3 4 - 3 ' 1 ' 2 = 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. •...

  • Page 17: Using Engineering Notation

    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 =. 3 + 3 : 3 × 3 3 + 3 S7(:) 3 * 3 = Using Engineering Notation A simple key operation transforms a displayed value to engineering notation.
  • Page 18 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.

  • Page 19: Remainder Calculations

    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. To assign the result of 3 + 5 to variable A 3 + 5 1t(STO)y(A) To multiply the contents of variable A by 10 Sy(A)* 10 =...

  • Page 20: Prime Factorization

    Note: • Only the quotient value of a ÷R calculation is stored in Ans memory. • Assigning the result of a remainder division calculation to a variable will assign the quotient value only. Performing the operation 5 a '(÷R) 2 !t(STO))(X) (which assigns the result of 5÷R2 to X) will assign a value of 2 to X.

  • Page 21: Function Calculations

    Function Calculations For actual operations using each function, see the “Examples” section following the list below. π π : π is displayed as 3.141592654, but π = 3.14159265358980 is used for internal calculations. is displayed as 2.718281828, but = 2.71828182845904 is used for internal calculations.
  • Page 22 can be specified within the range of –1 × 10 1 × 10 . See Note: The following cannot be used in ): Pol, Rec, ÷R. The following cannot : ∫, , Σ, Π. be used in , or 9: Determines the product of ) over a given range.
  • Page 23 Intg: Determines the largest integer that does not exceed a value. See 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 A.
  • Page 24 Examples s 30 )= sin 30°= 0.5 0.5 = 30° bv 1s(sin ) 0.5 )= −1 −1 wb(sinh) 1 )= 1.175201194 sinh 1 = 1.175201194 wf(cosh –1 −1 ) 1 )= cosh 1 = 0 π /2 radians = 90°, 50 grads = 45° (15(π)/ 2 )1G(DRG')c( 50 1G(DRG')d( ×...
  • Page 25 Σ + 1) = 20 1&(8)S)(X)+ 1 e 1 e 5 = 1&(8)S)(X)+ 1 1)(,) 1 1)(,) 5 )= + 1) = 720 x =1 a&(9)S)(X)+ 1 e 1 e 5 = a&(9)S)(X)+ 1 1)(,) 1 1)(,) 5 )= To convert rectangular coordinates ( ' 2 , ' 2 ) to polar coordinates 1+(Pol)! 2 e1)(,)! 2 e)= r=2, =45 1+(Pol)! 2 )1)(,)! 2 ))=...

  • Page 26: Complex Number Calculations (Cmplx)

    To determine the greatest common divisor of 28 and 35 S*(GCD) 28 1)(,) 35 )= To determine the least common multiple of 9 and 15 S/(LCM) 9 1)(,) 15 )= To extract the integer part of −3.5 S+(Int)- 3.5 )= −3 To determine the largest integer that does not exceed −3.5 S-(Intg)- 3.5 )=...

  • Page 27: Using Calc

    Using a Command to Specify the Calculation Result Format ∠ or ' Either of two special commands (' ) 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. = 2 ∠...

  • Page 28: Using Solve

    and then determine ' 3 + , 1 + ' 3 To store A + B using polar ∠ ) coordinates ( N2(CMPLX) Math Math CMPLX CMPLX S-(A)+Se(B)W( 12(CMPLX)3(' ∠ ) s! 3 )= 1 = s (or =) 1 =! 3 )= To exit CALC: A Note: During the time from when you press s until you exit CALC by pressing A, you should use Linear Display input procedures for input.
  • Page 29 Math Math Input an initial value for X (Here, input 1): Solution screen To exit SOLVE: A Note: During the time from when you press 1s(SOLVE) until you exit SOLVE by pressing A, you should use Linear Display input procedures for input.

  • Page 30: Statistical Calculations (Stat)

    Math Math Input an initial value for X (Here, input 1): 1 = Math Math = 7 == Math Math = 13 == Statistical Calculations (STAT) To start a statistical calculation, perform the key operation N3(STAT) to enter the STAT Mode and then use the screen that appears to select the type of calculation you want to perform.
  • Page 31 To select linear regression and input the following data: (170, 66), (173, 68), (179, 75) STAT STAT N3(STAT)2(A+BX) STAT STAT 170 = 173 = 179 =ce STAT STAT 66 = 68 = 75 = Important: • All data currently input in the Stat Editor is deleted whenever you exit the STAT Mode, switch between the single-variable and a paired- variable statistical calculation type, or change the Stat Format setting on the setup menu.
  • Page 32 • are not variables. They are commands of the type that take an argument immediately before them. See “Calculating Estimated Values” for more information. Minimum Value: minX*, minY, Maximum Value: maxX*, maxY 11(STAT/DIST) 6(MinMax) 1 to 2 (When the single-variable statistical calculation is selected.) 11(STAT/DIST) 6(MinMax) 1 to 4 (When a paired-variable statistical calculation is selected.) First Quartile: Q1, Median: med, Third Quartile: Q3...
  • Page 33 A11(STAT/DIST)5(Reg)2(B)= Results: Linear Regression Correlation Coefficient: 0.923 Logarithmic Regression Correlation Coefficient: 0.998 = –3857.984 + 2357.532ln Logarithmic Regression Formula: Calculating Estimated Values Based on the regression formula obtained by paired-variable statistical calculation, the estimated value of can be calculated for a given -value.

  • Page 34: Base- N Calculations (Base-N)

    STAT STAT A 3 11(STAT/DIST)5(Distr)4(' STAT STAT 11(STAT/DIST)5(Distr)1(P()G)= Results: Normalized variate (' ): –0.762 0.223 Base- Calculations (BASE-N) Press N4(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.
  • Page 35 Positive: 00000000000 17777777777 Octal Negative: 20000000000 37777777777 Decimal –2147483648 2147483647 Positive: 00000000 7FFFFFFF Hexadecimal Negative: 80000000 FFFFFFFF 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).

  • Page 36: Equation Calculations (Eqn)

    To determine the logical XOR of 1010 and 1100 (1010 xor 1100 A 1010 13(BASE)3(xor) 1100 = 0000000000000110 To determine the logical XNOR of 1111 and 101 (1111 xnor 101 A 1111 13(BASE)4(xnor) 101 = 1111111111110101 To determine the bitwise complement of 1010 (Not(1010 A13(BASE)5(Not) 1010 )= 1111111111110101...
  • Page 37 • A message appears to let you know when there is no solution or when there are infinite solutions. Pressing A or = will return to the Coefficient Editor. Changing the Current Equation Type Setting Press N5(EQN) and then select an equation type from the menu that appears.

  • Page 38: Eqn Mode Examples

    – 2 – + 2 = 0 N5(EQN)4(aX + bX + cX + d = 0) 1 =- 2 =- 1 = 2 == =) –1 Matrix Calculations (MATRIX) Use the MATRIX Mode to perform calculations involving matrices of up to 3 rows by 3 columns.
  • Page 39 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. •...

  • Page 40: Creating A Number Table From Two Functions (Table)

    3 × MatA (Matrix scalar multiplication). A 3 *MatA= Obtain the determinant of MatA (det(MatA)). A14(MATRIX)7(det) MatA)= Obtain the transposition of MatC (Trn(MatC)). A14(MATRIX)8(Trn) MatC)= –1 Obtain the inverse matrix of MatA (MatA Note: You cannot use 6 for this input. Use the E key to input “ –1 ”.
  • Page 41 • Be sure to input the X variable (S)(X)) when generating a number table. Any variable other than X is handled as a constant. • If you are using a single function, input a function in the format only. • The following cannot be used in the function: Pol, Rec, ∫, , Σ, Π.

  • Page 42: Vector Calculations (Vector)

    setting, while 20 rows are supported for the “f(x),g(x)” setting. • You can use the number table screen for viewing values only. Table contents cannot be edited. • 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.
  • Page 43 Assigning and Editing Vector Variable Data Important: The following operations are not supported by the Vector Editor: m, 1m(M–), 1t(STO). Pol, Rec, ÷R, and multi-statements also cannot be input with the Vector Editor. To assign new data to a vector variable: 1.

  • Page 44: Inequality Calculations (Ineq)

    VctA VctB (Vector dot product) • AVctA15(VECTOR)7(Dot)VctB= VctA × VctB (Vector cross product) AVctA*VctB= Obtain the absolute values of VctC. A1w(Abs)VctC)= Determine the angle formed by VctA and VctB to three decimal places (Fix 3). v • • –1 (cos , which becomes = cos 1N(SETUP)6(Fix)3...
  • Page 45 • To change a coefficient value you already have input, move the cursor to the appropriate cell, input the new value, and then press =. • Pressing A will clear all of the coefficients to zero. Note: The following operations are not supported by the Coefficient Editor: m, 1m(M–), 1t(STO).

  • Page 46: Using Verify (Verif)

    − 3 Nc1(INEQ)2(aX Math Math + bX + cX + d) 3(aX + bX + cX + d 2 =- 3 = Math Math – Math Math Nc1(INEQ)2(aX + bX + cX + d) 1(aX + bX + cX + d 3 = 3 =- 1 = Math Math...
  • Page 47 2. Input 4 ' 9 = 12. 4 ! 9 e1 6 (VERIFY) 1 (=)12 • You can select the equality symbol or inequality symbol from the menu that appears when you press 16(VERIFY). 3. To verify, press =. Math Math You can input the following expressions for verification in the VERIFY Mode.

  • Page 48: Verify Mode Calculation Examples

    VERIFY Mode Calculation Examples To verify log2 log3 log4 l 2 )16 (VERIFY) 4 ( ) l 3 )16 (VERIFY) 4 ( ) l 4 )= To verify 0 – 0 16 (VERIFY) 4 ( ) 8 ' 9 ew- 8 ' 9 = To verify 5 = 25 = 625 5 w16 (VERIFY) 1 (=)
  • Page 49 Variables that Accept Input The following are distribution calculation variables that accept input values. , σ, Normal PD ......Normal CD ......Lower, Upper, σ, Inverse Normal ....Area, σ, (Tail setting always left.) Binomial PD, Binomial CD ... (or List), N, p Poisson PD, Poisson CD ..
  • Page 50 35 = Result: 0.1760326634 • Pressing = or A returns to the input screen. To calculate binomial probability for the sample data {10, 11, 12, 13, 14} when N=15 and p=0.6 Nc3(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 =...

  • Page 51: Scientific Constants

    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 π), which can be used inside of calculations.

  • Page 52: Metric Conversion

    23: (e) elementary charge 24: (NA) Avogadro constant 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...

  • Page 53: 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 54 –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 55: Errors

    • Precision is basically the same as that described under “Calculation Range and Precision”, above. • !, nPr, nCr type functions require consecutive internal calculation, which can cause accumulation of errors that occur with each calculation. • Error is cumulative and tends to be large in the vicinity of a function’s singular point and inflection point.
  • Page 56 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 57: Before Assuming Malfunction Of The Calculator

    Before Assuming Malfunction of the Calculator... Perform the following steps whenever an error occurs during a calculation or when calculation results are not what you expected. If one step does not correct the problem, move on to the next step. Note that you should make separate copies of important data before performing these steps.

  • Page 58: 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 59 CASIO COMPUTER CO., LTD. 6-2, Hon-machi 1-chome Shibuya-ku, Tokyo 151-8543, Japan SA1111-A © 2012 CASIO COMPUTER CO., LTD.

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