E fx-100MS fx-115MS fx-570MS fx-991MS User’s Guide CASIO Worldwide Education Website http://edu.casio.com CASIO EDUCATIONAL FORUM http://edu.casio.
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 .................
Important Information • 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. • 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.
• 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. • Do not subject the calculator to excessive impact, pressure, or bending. • Never try to take the calculator apart.
Reading the Display The display of the calculator shows expressions you input, calculation results, and various indicators.
Note: In this manual, the v symbol next to a sample operation indicates degrees. 1Fix 2Sci 3Norm Specifies the number of digits for display of a calculation result. Fix: The value you specify (from 0 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: 100 ÷ 7 = 14.
Inputting Expressions and Values 4 × sin30 × (30 + 10 × 3) = 120 v 4 *s 30 *( 30 + 10 * 3 )= Note: • 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 1 or S key operation does not take up a step, so inputting 1^(x'), for example, takes up only one step. • Whenever you input the 73rd step of any calculation, the cursor changes from “_” to “k” to let you know memory is running low.
Making Corrections During Input • Use d and e to move the cursor to the location you want. • Press D to delete the number or function at the current cursor position. • Press !D(INS) to change to an insert cursor t. Inputting something while the insert cursor is on the display inserts the input at the insert cursor position. • Pressing !D(INS), or = returns to the normal cursor from the insert cursor. Basic Calculations Fraction Calculations 2 + 1 = 11 3 2 6 4−3 1 = 1 2 2 2v3+1v2= 1{1{6. 4-3v1v2= 1{2.
300 grams are added to a test sample originally weighing 500 grams, producing a final test sample of 800 grams. What percent of 500 grams is 800 grams? (160%) 300 + 500 1=(%) 160. What is the percentage change when a value is increased from 40 to 46? (15%) 46 - 40 1=(%) 15. Degree, Minute, Second (Sexagesimal) Calculations The following is the input format for a sexagesimal value: {degrees} $ {minutes} $ {seconds} $. Note: You must always input something for the degrees and minutes, even if they are zero.
To input this symbol: Perform this key operation: Unit k (kilo) 1g(k) 103 M (Mega) 1h(M) 106 G (Giga) 1i(G) 109 T (Tera) 1j(T) 1012 m (milli) 1f(m) 10−3 (micro) 1e( ) 10−6 n (nano) 1d(n) 10−9 p (pico) 1c(p) 10−12 f (femto) 1b(f) 10−15 100 m (milli) × 5 (micro) = 500 n (nano) N b(Disp)b(EngON) 100 1f(m)* 5 1e(μ)= 9 ÷ 10 = 0.9 m (milli) N b(Disp)b(EngON) 9 / 10 = m n Eng 500. m Eng 900.
After performing the calculations 1+1, 2+2, 3+3, 4+4, 5+5, and 6+6, the multi-statement will show 4+4:5+5:6+6. 1+1=2+2=3+3=4+4= 5+5=6+6= ff 1f(COPY) = 6+6 4+4 12. 8. 4+4 : 5+5 : 6+6 _ 8. 4+4 8.Disp Note: Calculation history data is all cleared whenever you press O, when you change to a different calculation mode, or whenever you initialize modes and settings. Replay While a calculation result is on the display, you can press d or e to edit the expression you used for the previous calculation.
To multiply the contents of variable A by 10 (Continuing) Sy(A)* 10 = To recall the contents of variable A (Continuing) 80. ty(A) 8. To clear the contents of variable A 0 1t(STO)y(A) 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. To clear the contents of M 0 1t(STO)l(M) To add the result of 10 × 5 to M (Continuing) 0. 10 * 5 l 50.
when you perform the following key operation: 1G(DRG'). See 3. 10x, ex : Exponential functions. See log : Logarithmic function. See 5. ln : Natural logarithm to base e. See y x 4. 6. x , x , ^(x ), ', ', ', x : Powers, power roots, and reciprocals. See 7 . Note: x2, x3, x −1 can be used in complex number calculations.
Integration and Differential Calculation Precautions • Integration and differential calculations can be performed in the COMP Mode (,1) only. • When using a trigonometric function in f(x), specify Rad as the angle unit. Precautions for Integration Calculation Only • You can specify an integer in the range of 1 to 9 as the number of partitions, or you can skip input of the number of partitions entirely, if you want. • Internal integration calculations may take considerable time to complete.
8 (2x2 + 3x + 8) dx = 150.6666667 (n = 6) f 2 S)(X)x+ 3 S)(X) + 8 , 1 , 5 , 6 )= 150.6666667 9 To determine the derivative at point x = 2 for the function y = 3x2 – 5x + 2, when the increase or decrease in x is Δ x = 2 × 10–4 1f(d/dx) 3 S)(X)x- 5 S)(X) + 2 , 2 , 2 E- 4 )= 7. 10 To convert rectangular coordinates (' 2,' 2 ) to polar coordinates v r = 2. 1+(Pol()1 2 ,1 2 )= tt(F) = 45. • Press tc(E) to display the value of r, or tt(F) to display the value of .
Complex Number Calculations (CMPLX) To perform complex number calculations, first press N2(CMPLX) to enter the CMPLX Mode. You can use either rectangular coordinates (a+bi) or polar coordinates (r∠ ) to input complex numbers. Complex number calculation results are displayed in accordance with the complex number format setting on the setup menu.
results. The command overrides the calculator’s complex number format setting. 1 + i = 1.414213562 ∠ 45, 1.414213562 ∠ 45 = 1 + i v 1 +W(i)1+('r∠ )= r = 1.414213562 1=(Re⇔Im) = ∠45 9 2 1-(∠) 45 1-('a+bi)= Real part = 1 1=(Re⇔Im) Imaginary part = i Using CALC CALC lets you save calculation expressions that contain variables, which you can then recall and execute in the COMP Mode (N1) and the CMPLX Mode (N2). The following describes the types of expressions you can save with CALC.
To solve y = ax2 + b for x when y = 0, a = 1, and b = –2 S,(Y)Ss(=)S-(A) Y=AX 2 +B _ S)(X)w+Se(B) 1s(SOLVE) Prompts for input of a value for Y Y? Current value of Y 0= A? 1= X? c B? - 2 =f X? 1s(SOLVE) To exit SOLVE: A 0. X= 1.414213562 Solution screen Important: • Depending on what you input for the initial value (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.
Inputting Data • In the SD Mode and REG Mode, the l key operates as the 7 key. • Always start data input with !,(CLR)b(Scl)= to clear statistical memory. • Input data using the key sequence shown below. SD Mode: 7 REG Mode: , 7 • 77 inputs the same data twice. • You can also input multiple entries of the same data using !,(;). Data Input Precautions • While inputting data or after inputting data is complete, you can use the f and c keys to scroll through data you have input.
Σx3, Σx2y, Σx4 .... 11(S-SUM)ee 1 to 3 (Quadratic Regression only) Mean: o *, p , Population Standard Deviation: σx*, σy, Sample Standard Deviation: sx*, sy o, σx, sx ............12(S-VAR) 1 to 3 p, σy, sy ............12(S-VAR)e 1 to 3 Regression Coefficients: A, B, Correlation Coefficient: r Regression Coefficients for Quadratic Regression: A, B, C 12(S-VAR)ee 1 to 3 Estimated Values: m, n Estimated Values for Quadratic Regression: m1, m2, n 12(S-VAR)eee 1 to 2 (or 3) • m, m1, m2 and n are not variables.
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 xvalue. The corresponding x-value (two values, x1 and x2, in the case of quadratic regression) also can be calculated for a value of y in the regression formula. 3 To determine the estimate value for x when y = −130 in the regression formula produced by logarithmic regression of the data in 2 . Specify Fix 3 for the result.
number modes: w(DEC) for decimal, M(HEX) for hexadecimal, l(BIN) for binary, or i(OCT) for octal. To enter the BASE Mode, switch to the binary mode, and calculate 112 + 12 NN3(BASE) 0. d l(BIN) 0. b 11 + 1 = 100. b 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). • In the BASE Mode, input of fractional (decimal) values and exponents is not supported. If a calculation result has a fractional part, it is cut off.
To calculate 1510 × 310 in the decimal mode, and then convert the result to hexadecimal, binary, and octal Ax(DEC) 15 * 3 = 45 M(HEX) 2d l(BIN) 101101 i(OCT) 55 Note: • You may not be able to convert a value from a number system whose calculation range is greater than the calculation range of the resulting number system. • The message “Math ERROR” indicates that the result has too many digits (overflow).
Quadratic equation (ax2 + bx + c = 0) e2 Cubic equation (ax3 + bx2 + cx + d = 0) e3 3. Use the Coefficient Editor that appears to input coefficient values. • To solve 2x2 + x – 3 = 0, for example, press e2 in step 2, and then input the following for the coefficients (a = 2, b = 1, c = –3): 2 =1=- 3.
c (x2=) 0.25 !=(Re⇔Im) (x2=) −0.75i • If a result is a complex number, the real part of the first solution appears first. Press !=(Re⇔Im) to toggle the display between the real part and imaginary part of a solution. x3 – 2x2 – x + 2 = 0 NNN1(EQN)e3 1 =- 2 =- 1 = 2 = c c (x1=) (x2=) (x3=) 2 –1 1 Matrix Calculations (MAT) (fx-570MS/991MS only) Use the MAT Mode to perform calculations involving matrices of up to 3 rows by 3 columns.
7. Press A to advance to the calculation screen, and perform the first calculation (MatA×MatB): 14(MAT)3(Mat)1(A)*14 (MAT)3(Mat)2(B)=. • This will display the MatAns screen with the calculation results. Mat A×Mat B _ 0. Mat Ans 11 3. Note: “MatAns” stands for “Matrix Answer Memory”. See “Matrix Answer Memory” for more information. 8. Perform the next calculation (MatA+MatB): A14(MAT) 3(Mat)1(A)+14(MAT)3(Mat)2(B)=. Mat A×Mat B _ 0. Mat Ans 11 4.
2. Use the Matrix Editor that appears to edit the elements of the matrix. • Use the f, c, d, and e keys to display the element you want to edit. Input a new value and then press =. Matrix Calculation Examples The following examples use MatA = 2 1 and MatB = 1 1 1 0 –1 from 1 , and MatC = 0 –1 1 2. 2 –1 from –1 2 You can input a matrix variable into a key operation by pressing 14(MAT)3(Mat) and then pressing one of the following number keys: 1(A), 2(B), 3(C).
Vector Calculations (VCT) (fx-570MS/991MS only) Use the VCT 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. 1 To assign (1, 2) to VctA and (3, 4) to VctB, and then perform the following calculation: (1, 2) + (3, 4) 1. Press NNN3(VCT) to enter the VCT Mode. 2. Press !5(VCT)1(Dim)1(A). Vc t A ( m ) m? 0. 3.
Assigning and Editing Vector Variable Data Important: The following operations are not supported by the Vector Editor: m, 1m(M–), 1t(STO). Pol, Rec, and multi-statements also cannot be input with the Vector Editor. To assign new data to a vector variable: 1. Press 15(VCT)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, input the dimensions. 3. Use the Vector Editor that appears to input the elements of the vector.
6 Obtain the absolute values of VctC. A1)(Abs)VctC= Abs Vc t C 3. 7 Determine the angle formed by VctA and VctB to three decimal places (Fix 3). v (A • B) (A • B) (cos = , which becomes = cos–1 ) A B A B , 1(Fix)3 A(VctA15(VCT)e1(Dot)VctB)/ (1)(Abs)VctA1)(Abs) VctB)= 1c(cos–1)G= ( Vc t A · Vc t B ) ÷ 0.984 cos −1 Ans 10.305 Scientific Constants (fx-570MS/991MS only) Your calculator comes with 40 built-in scientific constants that can be used in any mode besides BASE.
13: (γp) proton gyromagnetic ratio 14: (λcp) proton Compton wavelength 15: (λcn) neutron Compton wavelength 16: (R∞) Rydberg constant 17: (u) atomic mass unit 18: ( p) proton magnetic moment 19: ( e) electron magnetic moment 20: ( n) neutron magnetic moment 21: ( ) muon magnetic moment 22: (F) Faraday constant 23: (e) elementary charge 24: (NA) Avogadro constant 25: (k) Boltzmann constant 26: (Vm) molar volume of ideal gas 27: (R) molar gas constant 28: (C0) speed of light in vacuum 29: (C1)
The following shows the two-digit numbers for each of the metric conversion commands.
tanx sin–1x cos–1x tan–1x sinhx coshx DEG Same as sinx, except when 앚x앚 = (2n−1) ҂ 90. RAD Same as sinx, except when 앚x앚 = (2n−1) ҂ π/2. GRA Same as sinx, except when 앚x앚 = (2n−1) ҂ 100. 0 앚x앚 1 0 앚x앚 9.999999999 ҂ 1099 0 앚x앚 230.2585092 sinh–1x 0 앚x앚 4.999999999 ҂ 1099 cosh–1x 1 x 4.999999999 ҂ 1099 tanhx 0 앚x앚 9.999999999 ҂ 1099 tanh–1x 0 앚x앚 9.999999999 ҂ 10–1 logx/lnx 0 쏝 x 9.999999999 ҂ 1099 10x –9.999999999 ҂ 1099 x 99.99999999 ex –9.
' y y 쏜 0: x G 0, –1 ҂ 10100 쏝 1/x logy 쏝 100 y = 0: x 쏜 0 y 쏝 0: x = 2n+1, n1 (n G 0; n is an integer) However: –1 ҂ 10100 쏝 1/x log앚y앚 쏝 100 a b/c Total of integer, numerator, and denominator must be 10 digits or less (including division marks). x SD (REG) 앚x앚 쏝 1 ҂ 1050; 앚y앚 쏝 1 ҂ 1050; 앚n앚 쏝 1 ҂ 10100 σx, σy, o, p : n G 0 sx, sy, A, B, r : n G 0, 1 • Precision is basically the same as that described under “Calculation Range and Precision”, above.
Stack ERROR Cause: • The calculation you are performing has caused the capacity of the numeric stack or the command stack to be exceeded. • The calculation you are performing has caused the capacity of the matrix or vector stack to be exceeded. Action: • Simplify the calculation expression. • 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.
Replacing the Battery Important: Removing the battery will cause all of the calculator’s memory contents to be deleted. 1. Press 1A(OFF) to turn off the calculator. • To ensure that you do not accidentally turn on power while replacing the battery, slide the hard case onto the front of the calculator (fx-570MS). 2. Remove the cover as shown in the illustration and replace the battery, taking care that its plus (+) and minus (–) ends are facing correctly.
Dimensions (H×W×D)/Approximate Weight (including the battery) fx-100MS 20.0 × 78 × 155 mm /16⬙ × 31/16⬙ × 61/8⬙ 133 g (4.7 oz) 12.6 × 80 × 159 mm /2⬙ × 31/8⬙ × 61/4⬙ 100 g (3.5 oz) 12.7 × 78 × 154.5 mm 1 /2⬙ × 31/16⬙ × 61/16⬙ 105 g (3.
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