.. ... ... ...... ... ....... E .......................... .......................... .......................... .......................... fx-115ES PLUS fx-991ES PLUS C User's Guide .......................... .......................... .......................... .......................... .................... ... CASIO ... ....... Worldwide Education Website http://edu.casio.com CASIO EDUCATIONAL FORUM http://edu.casio.
.J?p~tel!,t! Important Information Sample Operations Initializing the Calculator Safety Precautions Handling Precautions Removing the Hard Case Turning Power On and Off Adjusting Display Contrast Key Markings Reading the Display Using Menus Specifying the Calculation Mode Configuring the Calculator Setup Inputting Expressions and Values Recurring Decimal Calculations Togging Calculation Results Basic ~~ ~1deI ~ Prime F ~. Func::IiDr~ Comp6ex~ CaK'oIbtinqs (CMPlX) Using CAi..
.. . Never try to take the calculator apn. Use a soft, dry cloth to clean the exIericI" ",::.e calculator. Whenever discarding the calculator or bar;aeries,be sure to do so In accordance with the laws and regulations in .,.,.. particular area. . Company and product names used in this manual may be registered Irl'demarks or trademarks of their respective owners. ~.. . -~~'the ~e...~ Before d . ~(I ~ ,. 'I..J -=-=:d wi: ttJmoftautomaticalyifyoudonotpertormanyoperation _ happens, press the . .
Dlsp ThedisplaycooenItt_ multi-statement calculation. an~te IDMthlO mLinelO resultofa Important: For some type of calculationthat takes a long timeto execute, the display may show only the above indicators (without any value) while it performs the calculation intemally. = ~'" ::-J Some of the calculator's operations are performed using menus. Pressing I!!IDor 11iiiJ, for example, will display a menu of applicable functions. The foltowing are the operations you should use to navigate between menus.
~ [!) Rdec [D ON ; m OFF SpeciIies whether or not to display calculation resUiiSUSlng recurmg deanaliorm.
. Important: Certain types of ~~'" can cause the height of a calculation formula to be greater than one dislJlayline. The maximum allowableheightofa calculationformulaistwo
~ Note: . You can specify up to 14 decimal places for the recurring decimal period. Ifyou 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 selling on the setup menu. . Return to initial display format (Norm 1): 0.1428571429 ..!...=0.142857 Displaying a Calculation Result as a Recurring Decimal Value 7 =0.
. The data size of value to be displayed as the recurring decimal must be no larger than 99 bytes. Each value and the decimalpoint require one byte, and each digij of the periodrequires one byte. The following, for example, would require oltotal of Bbytes (4 bytesfor the values, 1 byte for the decimal point, 3 bytes for the period): 0.
/4-3t=trmm . _ 48f!BtaJl-§-13@1~2§) t 4831!!111BJ2§) 1~2 Note: Mixing fractions and decimal values 81 a calculation while Linear Display is selected will cause the resun to be displayed as a decimal value. Fractions in calculation results are displayed after being reduced to their lowest terms. . To switch a calculation result between improper fraction and mixed fraction form: Perform the following key operation: I!!!I ~(a%.
Answer Memory (Ans)/Previous (PreAns) Answer Memory Variables The last calculation result obtained is stored "' Ans ':answer) memory, The calculation result obtained prior to the last one is sto
. . Note: Only the quotient value of a +R caIcUaIion 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 ~ lJiH+R)2@I@(STO)m(X) (which assigns the result of 5+R2 to X) If a +R calculation is part of a multi-step will assign a value of 2 to X. calculation, only the quotient is passed on to the next operation. (Example; 10 IE 17 ~1iiI(+R)6 §) 10+ 2) .
can be specified within the range 01-1 x 10'" < a ;;; b < 1 x 10.°. See ~. Note: The following cannot be used ilJtx): Pol, Rae, +R. The following cannot be used inJ!x), a, or b: I, dldx, L, n. ~-: Determ~nes the product of J!x) over a given range. The calculation formula is: II(j(x)) =J!a) xJ!a+l) xJ!a+2) x... xJ!b). The Natural Display ~ b . inputsyntax is II(j(x)), whilethe LinearDisplayinputsyntax is n(/!x), a, b). a and b arei';;tegers in the range of a < 1 x 10'°, b < 1 x 10'°,a;;; b. See&.
& ,., L(X+I)=20 Examples Li h 6. ImllIEI sin-'O.5= 30° ImllIEI sin 30°= 0.5 50 [IJIEI 1.175201194 ffiW!D(sinh)1 ffiWlID(cosh-') 1 [IJ lEI 0 rmm I!IZII Lh =1 IT(X 90 45 i!!jJ f!!!J(DRG~)[IJ(')1EI i!!jJ f!!!J(DRG~) (II (9) lEI To calculate e' x 2 to three significant digits (Sci 3) h h 1m@(e")5 (jg 2 lEI i!!jJ !W (el) 5 [IJ (jg 2 lEI §) log,.
~ To detennine the greatest common divisor of 28 and 35 ~ IKI(GCD)281!!i1 en (,)35m § 7 To detennine the least common multiple of 9 and 15 ~ & -3 ~ (Int)ffjJ 3.5 m § To detennine the largest integer that does not exceed -3.5 ~EI(lntg)1B3.5en§ ,Complex Number Calculatie»ns TC-MPLXLJ (2 + 6') + (2') = 3 / 2 L 45 = .f2 + .f2i ED_ / - i (Complex number fonnat: a + b,) m2~6(@(,)enlEm2ffijg)(,)en§ 3-i (Complexnumberfonnat:a + b,) 21!!i1 ffjJ(L)45§ v'2 +v'2i .f2 + .
m To store A + Bi and then determine coordinates (r L9) 1m .f3 + i, 1 + .f3 i using polar f!2ID1IJ(CMPLX) ~!BJ(A)(E~E3(B)~(/) ... m @[ 21..301 [ 21..601 @!ID (or @)1 @11iJ3[D@ To exij CALC: tgj Note: Duringthe timefromwhenyou press@!IDuntilyou exitCALCby pressing tgj, you should use Linear Display input procedures for input. ~~~ Equations +3=B+C . Screen Contents Solutions are always displayed in decimal form.
m Inputan initialvaluefor X(Here, input1): 1 § Moth I*~X2-X+1 2 o L-R= L:t To select (170,66), linear regression and input the following (173, 68), (179, 75) data: m STAT No. ~[I)(STAT)[IJ(A+BX) 3 I !I I v I o 170§ 173§ 179§ o 4 o L~atisti~a!.pa.culations~I$TA!) To start a statistical calculation, perform the key operation ~ [I) (STAT) to enter the STAT Mode and then use the screen that appears to select the type of calculation you want to perform.
. .£,.£" .£, and yare not variables. They are commands of the type that take an argument immediately before them. See "Calculating Estimated Values. for more information. @Iffi II)(STATIDIST)(ID(Reg)rn (B)13 Results: Minimum Value: minX., minY, Maximum Value: maxX., maxY @!!)II) (STAT/DIST) lID(MinMax) II) to rn (When the single-variable statistical calculation is selected.) @!!)II) (STAT/DIST) lID (MinMax) II) to (!) (When a paired-variable statistical calculation is selected.
m AK STAt Octal @ 31m m(STAT/DIST)CID(Distr)(!)(~t)@ -0.762 iii fiX STAt I!i!iI m (STA T/DIST) CID (Distr) m(POI!i!I (II @ 0.223 Positive: To enter the BASE-N Mode, switch to the binary mode, and I / Bin 0000000000000000 Bin 111%)1 @ 10000000000000100 @I£J(DEC) ImIID(BASE)~m(d)10 I%) m IID(BASE)~ rn(h) 10 I%) @!!)IID(BASE)~ 1 I§) (F)I%) 1 @ / I Continuing fr9m above, switch to the octal mode and calculate 78+ 18 Note: . @1]!!)(OCT)71%)1 @ .
/ To determine the logical XOR 0110102and 1100, (1010, xor 1100,) @ 1010 lID @](BASE)@](xor)1100 lEI 0000000000000110 / To determine the logical XNOR 01111" and 10" (111"xnor 10") @ 11111!!!1@](BASE)@)(xnor)1011E1 1111111111110101 / To determine the bitwise complement 011010, (Not(101O,)) @1!!!I@](BASE)II)(Not)1010rn lEI 1111111111110101 / To negate (take the two's complement) of 10110" (Neg(10110")) @1ID@](BASE)!II(Neg)101101 CDlEI 1111111111010011 " A message appears to let you know when there is
/ x"-2r-x+2=0 (!i!!J (ID(EON) I!J (aX' + bX" + eX + d Matrix Answer Memory =0) 1 EJIE)2EJIE) 1 EJ2EJEJ ~ ~ (X,=) -1 (X>=) 2 (X,:) 1 r MatrixCaICulationsjH~TRI~L ..: :1 Use the MATRIXMode to perform calculations involving matrices of up to 3 rows by 3 columns. To perform a matrix calculation, you first assign data to special matrix variables (MalA, MatB, Mate), and then use the variables in the calculation as shown in the example below. h 2 -1 [ ][ ] 1. Press .
. Be sure to input the X variable . h. 3 x MatA (Matrix scalar multiplication). ..1-, @3!IDMatA(5)l-3 Obtain the determinant of MatA (det(MatA)). @ ~ L3. (!)(MATRIX) ILl (det) MatA I]) (5) Obtain the transposition ..~ of MatC (Tm(MatC)). @~(!)(MATRIX)IID(Tm) 6 MatCI]) (5) I -Y For this prompt: Start? -jJ End? Obtain the inverse matrix of MatA (MatA"). Note: You cannot use ~ for this input. Use the ..~ @MatAIa;)I5) Obtain the absolute h ..
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 ed~ed. "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 displaythe setup menu in the TABLE Mode andsw~chbetween Natural Display and Linear Display.
~ . VctA. VctB (Vector dot product) @VctAt!!!I ([J(VECTOR)IL)(Dot)VctB@ h To change a coefficient value you already have input, move the cursor to the appropriate cell, input the new value, and then press @. Pressing @ will clear all of the coefficients to zero. Note: The following operations are not supported by the Coefficient Editor: !iE), t!!!IlMB(M-),I!!1!II§)(STO). Pol, Rec, +R, and multi.statements also cannot be input with the Coefficient Editor. 5.
2. Input / 2.<'-3x2 e; 0 rmm @!i!)~ (])(INEQ)CIJ(aX'+ bX' + cX+ d) !I) (aX' + bX' + cX + d e; 0) 21EJ831EJ X=A.B~X IEJ I / = 12. IiJ M.th. 3. To verify, press IEJ. 4./9=12 X=O,~~X Em 3x>+3x2-x>0 4V9 4GSJ9 l!i!!IlII (VERIFY) (]) (=)12 . You can select the equality symbol or inequality symbol from the menu that appears when you press l!i!!IlII(VERIFY). m ... I · 2 b -3 IIIIiIr. aX3+t.
VERIFYMode Calculation Examples " " " Variables that Accept Input To verifylog2 < log3 < log4 §2ml!i!j)[ID (VERIFY)@ «) § 31I11!i!!1 [ID(VERIFY)@«) TRUE ~4II1§)[ Toverifyo«t)'-t I rmm o I!!!J [ID (VERIFY) @ «) [ 8(ji)9@lE!8(ji)9§) To verify 52 =25 =>'625 FALSE I rmm 5@11!i!!1[ID (VERIFY) m (=) 251!i!!1[ID (VERIFY) m (=) ~ 625 151 [ TRUE I The following are distribution calculation variablesthat accept inputvalues.
Ans column of the List Screen when the value input for the corresponding sample data is outside the allowable range. p= 35@ .1Jj;i~t~fiij:1i..!U$ 0.1760326634 . Pressing @ or @ retums to the x input screen. " To calculate binomial probability for the sample data pO, 11, 12, 13, 14} when N=15 and p=0.6 UList I!2ID ~ =",::""..2:=C1' .-1 Your calculator comes with 40 built-in scientific constants that can be used in any mode besides BASE-N.
The following shows the two-digfi numbers for each of the metric conversion commands. 23: (e) elementary charge 24: (NA) Avogadro constant 25: (k) Boltzmann constant 26: (Vm) molar volume of ideal gas (273.
sin-1x cos-1x tarr'x sinhx coshx sinh-1x cosh-'x tanhx . 0;:;::;1 o ;:; ;; 9.999999999x 10'" o ;:i ;; 230.2585092 Iogx/Inx 10' e' Vx X' x-' 3.fX xl o < x ;:;9.999999999x 10'" -9.999999999 x 10":ii X 99.99999999 -9.999999999 x 10";; x;; 230.2585092 0:iix<1x10'''' <1x10'" nPr nCr Pol(x,y) Rec(r, 8) "" "" x' fly able . Range The range for calculation results that can be displayed in "form singular when using Natural Display is'Ixl < 10".
. 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. . Stack ERROR The calculation you are performing has caused the capacity of Cause: The calculation the numeric stack or the command stack to be exceeded. you are performing has caused the capacity of the matrix or vector stack to be exceeded.
! ..... SP8.£~~ Power Requirements: Built-in solar cell; button battery lR44 (GPA76) x 1 Approximate Battery life: 3 years (based on one hour of operation per day) Operating Temperature: O°C to 4Q°C (32°F to 104°F) Dimensions: 11.1 (H) x 80 (W) x 162 (D) mm '/," (H) x 3'/," (W) x 6'10"(D) Approximate Weight: 95 g (3.4 oz) including the battery .Frequently Asked Questions _ ___-== .
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