Casio fx-115ES PLUS User Manual

Efx-115ES PLUSfx-991ES PLUS CUser’s GuideCASIO Worldwide Education Website http://edu.casio.comCASIO EDUCATIONAL FORUM http://edu.casio.com/forum/

E-9Important: • Certain types of expressions can cause the height of a calculation formula to be greater than one display line. The maximum allowable

E-10To 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 fun

E-11Note: • 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 tre

E-12Return to initial display format (Norm 1): f 71 = 0.142857 = 0.1428571429 (Norm 1) b 1 ' 7 = Display as recurring decimal: f Decim

E-13• 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 by

E-14Toggling Calculation ResultsWhile Natural Display is selected, each press of f will toggle the currently displayed calculation result between its

E-15 1 = 12 24 − 3 B 4 -1'(() 3 e 1 c 2 = 12 b 4 - 3 ' 1 ' 2 = 1{2Note: • Mixing fractions and decimal values in a calculat

E-16Multi-StatementsYou can use the colon character (:) to connect two or more expressions and execute them in sequence from left to right when you pr

E-17Answer Memory (Ans) /Previous Answer Memory (PreAns)The last calculation result obtained is stored in Ans (answer) memory. The calculation result

E-18Variables (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

ContentsImportant Information ... 2Sample Operations ...

E-19Note: • Only the quotient value of a ÷R calculation is stored in Ans memory. • Assigning the result of a remainder division calculation to a var

E-20Function CalculationsFor actual operations using each function, see the “Examples” section following the list below. ππ : π is displayed as 3.1415

E-21can be specified within the range of –1 × 1010  a  b  1 × 1010. See 10.Note: The following cannot be used in f(x): Pol, Rec, ÷R. The following

E-22Intg: Determines the largest integer that does not exceed a value. See 21.Note: Using functions can slow down a calculation, which may delay disp

E-23Examples sin 30°= 0.5 bv s 30 )= 0.5 sin−10.5 = 30° bv 1s(sin−1) 0.5 )= 30 sinh 1 = 1.175201194 wb(sinh) 1 )= 1.175201194 c

E-24 Σx = 15(x + 1) = 20 B 1&(8)S)(X)+ 1 e 1 e 5 = 20 b 1&(8)S)(X)+ 1 1)(,) 1 1)(,) 5 )= 20 x=15(x + 1) = 720 B

E-25 To determine the greatest common divisor of 28 and 35 S*(GCD) 28 1)(,) 35 )= 7 To determine the least common multiple of 9 and 15 S/(L

E-26Using a Command to Specify the Calculation Result FormatEither of two special commands ('r∠ or 'a+bi) can be input at the end of a calc

E-27 To store A + Bi and then determine '3 + i, 1 + '3i using polar coordinates (r∠) v N2(CMPLX) S-(A)+Se(B)W(i) 12(CMPLX)3(&apos

E-28Input an initial value for X (Here, input 1): 1 = To exit SOLVE: A Solution screenNote: During the time from when you press 1s(SOLVE) until you

E-2Important Information• The displays and illustrations (such as key markings) shown in this User’s Guide are for illustrative purposes only, and may

E-29Input an initial value for X (Here, input 1): 1 = = 7 == = 13 == Statistical Calculations (STAT)To start a statistical calculation, perfor

E-30 To select linear regression and input the following data: (170, 66), (173, 68), (179, 75) N3(STAT)2(A+BX) 170 = 173 = 179 =ce 66 = 68

E-31• m, m1, m2 and n are not variables. They are commands of the type that take an argument immediately before them. See “Calculating Estimated Value

E-32 A11(STAT/DIST)5(Reg)2(B)= Results: Linear Regression Correlation Coefficient: 0.923 Logarithmic Regression Correlation Coefficien

E-33 A 3 11(STAT/DIST)5(Distr)4('t)= 11(STAT/DIST)5(Distr)1(P()G)= Results: Normalized variate ('t): –0.762 P(t): 0.2

E-34OctalPositive: 00000000000  x  17777777777Negative: 20000000000  x  37777777777Decimal–2147483648  x  2147483647HexadecimalPositive: 0000000

E-35 To determine the logical XOR of 10102 and 11002 (10102 xor 11002) A 1010 13(BASE)3(xor) 1100 = 0000000000000110 To determine the logical XN

E-36• 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

E-37 x3 – 2x2 – x + 2 = 0 N5(EQN)4(aX3 + bX2 + cX + d = 0) 1 =- 2 =- 1 = 2 == (X1=) –1

E-38Matrix Answer MemoryWhenever the result of a calculation executed in the MATRIX Mode is a matrix, the MatAns screen will appear with the result. T

E-3• Never try to take the calculator apart. • Use a soft, dry cloth to clean the exterior of the calculator. • Whenever discarding the calculator or

E-39 3 × MatA (Matrix scalar multiplication). A 3 *MatA= Obtain the determinant of MatA (det(MatA)). A14(MATRIX)7(det) MatA)= 1 Obtai

E-40• 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

E-41setting, 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 c

E-42Assigning and Editing Vector Variable DataImportant: The following operations are not supported by the Vector Editor: m, 1m(M–), 1t(STO). Pol, Rec

E-43 VctA • VctB (Vector dot product) AVctA15(VECTOR)7(Dot)VctB= VctA × VctB (Vector cross product) AVctA*VctB= Obtain the absolute values

E-44• To change a coefficient value you already have input, move the cursor to the appropriate cell, input the new value, and then press =. • Pressing

E-45 2x3 − 3 x2  0 B Nc1(INEQ)2(aX3 + bX2 + cX + d) 3(aX3 + bX2 + cX + d  0)

E-462. 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 yo

E-47VERIFY Mode Calculation Examples To verify log2  log3  log4 l 2 )16 (VERIFY) 4 ( ) l 3 )16 (VERIFY) 4 ( ) l 4 )= To verify 0  – (

E-48Variables that Accept InputThe following are distribution calculation variables that accept input values.Normal PD ... x,

E-4Reading the DisplayThe display of the calculator shows expressions you input, calculation results, and various indicators.Input expression Indicat

E-49 35 =Result: 0.1760326634• Pressing = or A returns to the x input screen. To calculate binomial probability for the sample data {10, 11, 12, 13,

E-50Ans column of the List Screen when the value input for the corresponding sample data is outside the allowable range.Scientific ConstantsYour calcu

E-5123: (e) elementary charge 24: (NA) Avogadro constant25: (k) Boltzmann constant26: (Vm) molar volume of ideal gas (273.15K, 100kPa)27: (R) mo

E-52The following shows the two-digit numbers for each of the metric conversion commands. 01: in ' cm 02: cm ' in 03: ft ' m 04: m &

E-53sin–1x0  |x|  1cos–1xtan–1x0  |x|  9.999999999 × 1099sinhx0  |x|  230.2585092coshxsinh–1x0  |x|  4.999999999 × 1099cosh–1x1  x  4.999999

E-54• Precision is basically the same as that described under “Calculation Range and Precision”, above. • xy, x'y, 3', x!, nPr, nCr type

E-55Action: • Check the input values, reduce the number of digits, and try again. • When using independent memory or a variable as the argument of a

E-56Before Assuming Malfunction of the Calculator... Perform the following steps whenever an error occurs during a calculation or when calculation res

E-57SpecificationsPower Requirements: Built-in solar cell; button battery LR44 (GPA76) × 1Approximate Battery Life: 3 years (based on one hour of op

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E-5DispThe display currently shows an intermediate result of a multi-statement calculation.Important: For some type of calculation that takes a long t

E-61MthIO 2LineIO Specifies the display format. Natural Display (MthIO) causes fractions, irrational numbers, and other expressions to be display

E-7c6Rdec 1ON ; 2OFF Specifies whether or not to display calculation results using recurring decimal form. c7Disp 1Dot ; 2Comma Specifies wh

E-8e 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 begin