Casio fx-115ES PLUS, fx-991ES PLUS C User Manual

.. ... ... ......

... .......

..........................

fx-115ES PLUS

fx-991ESPLUS C

User's Guide

..........................

....................

... ... .......

CASIO Worldwide Education Website

http://edu.casio.com

CASIO EDUCATIONAL FORUM

http://edu.casio.com/forum/

RJA525440-001 V01

CASIO~

.J?p~tel!,t!

Important Information 2 Sample Operations 2

Initializingthe 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 3

Reading the Display 4 Using Menus 5 Specifying the Calculation Mode 5 Configuring the Calculator Setup 5 Inputting Expressions and Values 7

Recurring Decimal Calculations 10

Togging Calculation Results 14

Basic ~~ 14 ~1deI ~ 18 Prime F ~. 19 Func::IiDr~ 20

Comp6ex~ CaK'oIbtinqs(CMPlX) 25 Using CAi..C 26 Using SOLVI" 27 Statistical Calculations (STAT} 29

Base-n Calculations (BASE-N) 33 Equation Calculations (EQN) 35

MatrixCalculations (MATRiX) 37 Creating a NumberTablefrom 1WoFunctions (TABLE) 39

Vector Calculations (VECTOR) 41 Inequality Calculations (lNEQ) 43

Using VERIFY(VERIF) 45 Distribution Calculations (DIST) 47 Scientific Constants 50

MetricConversion 51 Calculation Ranges, Number of Digits, and Precision 52

Errors 54 Before Assuming Malfunction of the Calculator_ 56 Replacing the Battery 56

Specifications 57 Frequently Asked Questions 57

.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. Moreover, CASIO Computer Co., Ltd. shall not be liable for any claim of any kind whatsoever by any other party arising out ofthe use of this product

and the items that come with it.

.Be sure to keep all user documentation handy for future reference.

t.§anipleop...Ii,jiojs- ~~ I

Sample operations in this manual are indicated by a / icon. Unless

specifically stated, all sample operations assume that the calculator is in its initial default setup. Use the procedure under "Initializingthe Calculator" to

return the calculator to its initial default setup. For infonnation about the 1miD, 1IImI, 1m, and _ marks that am shown

in the sample operations, see "Configuring the Calculator Setup".

""1i'faii~ins.{l:I~a1Cmat~ j.c : ...2,[ ]

Perfonn the followingprocedure when you want to in~ialjze the calculator and return the calculation mode and setup to their initialdefault settings. Note that this operation also clears all data currently in calculator memory.

I!!!I ([) (CLR)III (All)e)(Yes)

Lt.Battery

.Keep batteries out of the reach of smalt children.

.Use only the type of battery specified for this calculator in this manual.

ITHandUD..It""clitrons -:- -.,

~.,.."..,:",..:,~~.\.j[t.:~ ~

.Even Ifthe calculator Is operating normally, replace the battery at least

once every three years (LR44(GPA76». A dead battery can leak, causing damage to and malfunctionof the calculator.Neverleave a dead batteryin the calculator.Donot tryusing

the calculatorwhilethe batteryiscompletelydead.

.The battery that comes withthe calculator discharges slightly during

shipment and storage. Because of this, It may require replacement sooner than the normal expected battery life.

.Do not use an oxyrlde 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 tlfe and product malfunction.

.Avoid use and storage of the calculator In areas subjected to

temperature extremes, and large amounts of humidityand dust.

.Do not subject the calculator to excessive Impact, pressure, or

bending. E-Z

.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 respectiveowners.

~.. .-~~'the a..d£'is!.

~e...~ slide its hard

~(I

LJ!l"_. thecalculator, ndthenaffix 'I..J

Before

O~~:~rds to remo

~~t~eacalculatoras

~ ,.

case tothe bac .

thehard ca

se illustration nearby_

shown In t e

-=-=:d

Turningpovver Oh"and Off

"'" .""" -.-

Press I2!Jto turn on the calculator. Press f!!jj@(OFF) to turn off the calculator.

_ p ,.Off

-'cucaD wi:ttJmoftautomaticalyifyoudonotpertormanyoperation

io< abou. . 0 '"'tir1tJIes. ~ _ happens,press the I2!J key to turn the calculator

trod<or

Adjusting DispIaY.Contra'Si:

~ "'" ~ saee<' !It-perlonning the following key operation:

~~ISEl1.R,@OO''''CONT~J. Next, use @ and <E>to adjust cxrcrasL A.~.erIhe setOOgis Ihe way you want, press @.

Important: If adjusmg display

contrastdoes not Improvedisplayreadability,

it probably meansthat balfery power is low. Replacethe battery.

[~Ma"kliig,-_ . _ _:_

Pressing the I!!iIor ~ key followed by a second

key pertorms the alternate function of the second key. The alternate function is indicated by the text printed above the key. . The following shows what the different colors of the alternate function key text mean.

Alternate function

sin-1rD,

Keycap function

E-3

~di_f;'.QI~'.liDRJJJf2;[.'I'~. TI ;11,~.22~1

Thedisplay oUhe calculatorshowsexpressionsyouinput,calculation results,

and various indicators. Inputexpression ~ Indicators

q'f§H:g;.ID...: ~~:~.:..:::.::.:.P.9Tn;.4H?I?~~?f.j

f.f ::::::::::::::::r.~~;:~~4[::::::::r.~2;6~ii;:7.8.5.3.~8i!:}

Calculation result

.If a ~ indicator appears on the right side of the calculation result,it means

the displayed calculation result continues to the right. Use <E>and @ to scroll the calculation result display.

.If a I> indicatorappears on the right sideof the inputexpression, it means

thedisplayedcalculationcontinuestothe right.Use <E>and @ to scrollthe inputexpressiondisplay. Notethat ifyou wantto scrolltheinput expression whileboth the ~ and I> indicatorsare displayed, you will needtopress @) first and then use <E>and @ to scroll.

Display Indicators

E-4

If key marking

text

It means this:

Is this color:

Press@!jJ andthen the key to accessthe

Yellow

applicable function. Press andthen the key to i1puI the

Red

applicable variable, constant, 0<symbol.

Purple (or enclosed

Enter the CMPLX

Mode10access!he function.

in purple brackets) Green (or enclosed in

IEnterthe BASE '!oOe .. ac:essthefunction.

green brackets)

This

Means this:

indicator:

The keypadhas been shifted by pressing the

I!!iI key. The

keypad will unshift and this indicator will disappearwhen you press a key.

The alphainput mode has been entered by pressing the

I!!i!i!Ikey. The alpha input mode will be exited and this

indicator will disappear when you press a key.

M There is a value stored in independent memory.

The calculator is standing by for input of a variable name to

STO

assign a value to the variable. This indicator appearsafter

youpress@!iJmm(STO).

The calculator isstanding by for input of a variable name to

RCL recall the variable's value. This indicator appears after you

press mm.

STAT

The calculator isin the STAT Mode.

CMPLX

The calculator is in the CMPLX Mode.

MAT

The calculator is in the MATRIX Mode.

VCT

The calculator is inthe VECTOR Mode.

The default angle unit is degrees.

rn The default angle unit is radians.

r!!

The defaullangle unitis grads.

FIX

A fixed number of decimalplaces is in effect.

SCI

A fixed number of significantdigits isin effect.

Math

Natural Display is selected as the display format. Calculation history memory data is available and can be

...'"

replayed,or there is moredata abovelbelow the current

screen.

ThedisplaycooenItt_ an~te resultofa

multi-statement calculation.

Important: Forsome type ofcalculationthattakes a long timeto execute,

the display may show only the above indicators (without any value) while it performs the calculation intemally.

Dlsp

~'" = ::-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.

.You can select a menu item by pressing the number key that corresponds

to the number to its left on the menu screen.

.The ~ indicator in the upper right corner of a menu means there is another

menu below thecurrent one.The '" indicator means another menu above. Use and @ to swilch between menus.

.Toclose a menu without selecting anything, press @.

Note:

The initialdefault calculation mode is the COMP Mode.

riOl!ISJiriagi!~Ca.1c.UlAtj)rS"t!t!l2. --=:J

First perform the following key operation to display the setup menu:

~I!!!!J(SETUP). Next,use and @ and the numberkeys to configure

the seUingsyou want. Underlined (_) settings areinitial defaults.

E-5

IDMthlO

mLinelO Specifies the display format.

Natural Display (MthIO) causes fractions, r::;- irrational numbers,and other expressions to be

I~+~

displayed as they are written on paper.

m NItti.

22 15

MthIO:SelectsM!!!!JQorLineO. MathOdisplaysinputandcalculationresults

usingthe same formatasthey arewritten on paper. LineOdisplays inputthe same way as MathO, but calculation results are displayed in linear format.

Unear Display (UnetO) causes fractions and I m

other expressions to be displayed in a single

4J5+2J3

line.

Note: .The calculator switches to Linear Display automatically whenever you

enter the

STAT, BASE-N, MATRIX,or VECTOR Mode. 'In this manual, the

CtmIsymbol next to a sample operation indicates Natural Display (MathO),

while the I!IZ!J symbol indicates Linear Display.

(!) Deg (!) Rad IIDGra Specifies

degrees,radians orgrads asthe angle

unit for value input and calculation resultdisplay,

Note: Inthis manual, the _symbol next to a sampleoperation indicates

degrees, while the

1msymbol indicates radians.

lID Fix CZJSel lID Norm Specifies the number of digits for display of a

calculation resulr.--

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: I!IZ!J 100 + 7 =14.286 (Fix 3)

14.29 (Fix 2)

Sel: The value you specify (from 1to 10) controls the number of significant

digits for displayed calculation results. Calculation results are roundedoff to

the specified digit betorebeing displayed.

Example: I!IZ!J 1 + 7 =1.4286 x 10-' (Sci 5)

1.429 x 10-' (Sci 4)

Norm: Selecting one of the two available settings (Norm 1, Norm 2)

determines the range in which resultswill be displayed in non-exponential format. Outsidethe specified range,resultsare displayed using exponential format. Norm

1: 10-' > lxi,Ixli:;10'. Norm2: 10-<'> lxi,Ixlii: 10"

Example: I!IZ!J 1 + 200 =5 x 10-> (Norm 1)

0.005 (Norm 2)

IDab/c m die Specilies either mixed fraction (ab/c) or improper

fraction(dlc)~ of fractions in calculation results,

(!) CMPLX ID a+bi ;

mrLe Specifies eitherrectangular coordinates

(a+b.) or polarcOoidinaies (rLe) for EON Mode solutions.

(!)STAT IDON; mOFF Specifieswhether or notto display a FREO

(frequency) column iniiieS'fiiT Mode Stat Editor.

IIDTABLE IDf(x); mf(x),Q(x) Specifieswhether to use functionj(x)

only or the two functionsj(x) and

g(x)in the TABLE Mode.

E-6

When you want to performthis type of

Perform

this key

operaIion: operation: GenefaI",

I!ii!)ID(COMP)

....ooer caIcUations

I!ii!)m(CMPLX)

SIaIisticaI and regression calcutations

I!ii!)(!)(STAT)

Calculations invoImg specific number systems (binal)', octal, decimal,

e (!) (BASE-N)

hexadecimal) Equation solution

e lID(EON)

Matrix calculations

I!ii!)lID(MATRIX)

Generate a number table based on one or

@2i!)CZJ(TABLE)

two functions Vector calculations

e lID(VECTOR) Inequality solution. Ii!i!IID(INEO) Verify a calculation

li!i!Im(VERIF) Distribution Calculations

I!!!!J@)(DIST)

~ [!) Rdec [D ON ; m OFF SpeciIies whether or not to display

calculation resUiiSUSlng recurmg deanaliorm.

~ m Disp [D Dot; m Comma Specifies whether to display a dot or a comma for the calculation result decimal point. A dot is always displayed during input.

Note: When dot is selected as the decimal point, the separator for multiple results is a comma (,). When comma is selected, the separator is a semicolon (;).

~ !II CONT~ Adjusts display contrast. See "Adjusting Display Contrast" for details.

Initializing Calculator Settings

Perform the foltowing procedure to initialize the calculator, which returns the calculation mode to COMP and returns alt other settings, including setup menu setlings, to their initialdefaults.

(!!iJ [[)(CLR) [D (Setup)§) (Yes)

Inputtinq E~~t8SSiohS' ~nd VallAt$ 1

Basic Input Rules

Calculations can be input in the same form as they are written, When you press §) the pIioIity sequence of the input calculation will be evaluated

~ and the result will appear on the display.

/ 4.sD30xl30~10x3)=I20

4 !ID~30m !IDIIJ30ffi 10(2g3 m §)

I J. I I

*2 *3

m MlIII...

4xsin(30)x(30+1~

120

., Input of the closing parenthesis is required tor sin, sinh, and other functions

that includeparentheses. .

.,These multiplication symbols (x) can be omitted. A multiplication symbol

can be omittedwhenitoccursimmediatelybeforeanopeningparenthesis,

immediatelybefore sin or other function that includes parentheses, immediatelybeforethe Ran# (randomnumber)function,or immediately

beforea variable(A,S,C, 0, E, F,M,X,Y),scientificconstants,1tore.

., The closingparenthesis immediatelybefore the §) operationcan be

omitted.

Input example omitting (2g" and CD" operations in the above

example.

. m MaUl"

4@30 CDIIJ30ffi 101ID3§) ,4S1n(30)(30+10X3

120

Note: .It the calculation becomes longer than the screen width during

input, the screen willscroll automatically to the right and the indicator will appear on the display. When this happens, you can semi back to the left by

using @ and <e) to move the cursor.

.When LiIear Display is selected,

pressing @ willcause the cursor to jump tothe ~ of the calculation,

while ~ will jump to the end. .When NaIuIaI Display is selected, pressing

E-7

<e) while the cursor is at the end of the input calculation willcause ~to jump

to the beginning, while pressing @ 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. Some functions

require three to 13 bytes. .The cursor will change shape to . when there are

10 bytes or less of allowed input remaining. It this happens, end calculation

input and then press §).

Calculation Priority Sequence

The prioritysequence of input calculations is evaluated in accordance w~h the rules below. When the priorityof two expressions is the same, the calculation

is performed trom left to right.

Inputting with Natural Display

Selecting Natural Display makes it possible to input and display fractions and certain functions (log, XZ,XZ,x', r., >r., 'ro, x-', 10', e',l, dJdx,I, II,

Abs) just as they are writteninyourtextbook.

2+-12

1+-12

E-8

Isl

Parenthetical expressions

2nd

Functions that require an argument to the right and a closing parenthesis "j" following the argument.

3rd

Functionsthatcome after the input value (r, x3,x-1,x!, 01.,°," g,

%, I), powers (xl), roots ('ro)

4th Fractions

Negative sign H, base-n symbols (d, h, b, 0) Note: When squaring a negative value (such as 2), the value being squared must be enclosed in parentheses (IIJ IBJ2 m

5th

§). Since XZhas a higher priority than the negative sign,

inputting IBJ2 §) would result in the squaring of 2 and then appending a negative sign to the result. Always keep the priority sequence in mind, and enclose negative values in parentheses when required.

6th

Metric conversion commands (cmin, etc.),

STAT Mode estimated values (x, 9, XI, X2)

7th

Multiplication where the multiplication sign is omitted

8th

Permutation (nPr), combination (nCr), complex number polar coordinate symbol (L)

9th

Dot product (.)

10th

Multiplication (x), division (+), remainder calculations (+R)

11th

Addion, subtraction (+,-)

12th

Logical AND (and)

13th

Logical OR, XOR, XNOR (or, xor, xnor)

Important: .Certain types of ~~'" can cause the height of a

calculation formulato be greater than one dislJlayline. The maximum allowableheightofa calculationformulaistwo<ispIayscreens (31dotsx2).

Furtherinputwillbecomeimpossibleifthe heightofthe calculationyou are

inputting exceeds the allowable limit. .Nesting of functions and parentheses

is allowed. Further input willbecome impossible ifyou nest too many functions andlor parentheses. Ifthis happens, divide the calculation into multiple parts and calculate each part separately.

Note: When you press lEI and obtain a calculation result using Natural Display, part of the expression you input may be cut off. If you need to view the entire input expression again, press @ and then use @ and <E>to

scroll the input expression.

Using Values and Expressions as Arguments

(Natural Display only) Avalue oran expressionthat you have already inputcan be used as the

argument of a function. After you have input t, for example, you can make

itthe argument of

r, resulting in fl.

/ To input 1 + t and then change it to 1 + fl ED

1~7fSJ6 [1+~

@@@@I!!!J@(INS) ~

~[!;i

....

As shown above, the value or expression to the right of the cursor after

I!!!J@)(INS) are pressed becomes the argument of the function that is specified next. The range encompassed as the argument is everything up to the first open parenthesis to the right, ifthere is one, or everything up to the first function to the right (sin(30), log2(4), etc.) This capability can be used with the following functions: ~, ~, liB.

1!!!J1iS(Ir'), !m~(~-), @@~(!H. 1!!!J~('ro), !m(§](IO').

1!!!J(ji;J(e'), @, ~.!m@(3r.;), I!i!!lI!iI(Abs). Overwrite Input Mode (Linear Display only)

You can select either insert or overwrite as the input mode, but only while Linear Display is selected. In the overwrite mode. text you input replaces the text at the current cursor location. You can toggle between the insert and overwrite modes by performing the operations: I!!!J@ID(INS).The cursor appears as "I" in the insert mode and as "_" in the overwrite mode.

Note: Natural Display always uses the insert mode, so changing display format from Linear Display to Natural Display will automatically switch to

the insert mode.

Correcting and Clearing an Expression

To delete a single character or function: Move the CUlSOIso itis directly to the right of the character or function you want 10delete. and then press

@ID.

In the overwrite mode, move the cursor so i is <iredIy under the character or function you want to delete, and then press §.

E-9

To Insert a character or function fnto a calculation: Use @ 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.

To clear all of the calculation you are Inputting: Press @.

~e~ul'rinscDi.CT~a1Cula'lOiiii

Yourcalculatoruses a recurringdecimalwhenyouinputa value.Calculation

results also can be displayed using recurring decimal form whenever applicable.

Inputting a Recurring Decimal

When inputting a recurrent decimal, press @@~(.) before inputting its period (repetend) and then input the period up to the ending value. To input

the recurring decimal 0.909090 (0.90), perform the following operation: "08@@liiH.)90". Important: .If the value starts with an integer part (like: 12.3123123...), do

not include the integer part when inputting the period (12.312).

.Recurring

decimal input is possible only when Natural Display is selected.

/ To input 0.33333... (0.3) m

08 [0.1

@@@(.) [0.0

3 [o.a

m Mo.

m--1iattl

~th

To input 1.428571428571... (1.428571) ED

18@@@(.) [0

m Mo.

428571

1.4285711

/ To calculate 1.021 + 2.312 ED

18@@@(.)021(E)~

28 @@@(ii)3121E1

rn Malll.

1. 021 +2. 312 10

Calculation result displayed as recurring decimal value:

_ rn Ma\fl.

@ 11.021 +2. 312

3.3

E-10

~ ....

Note: . You can specify up to 14 decimal places for the recurring decimal

period. Ifyou input more than 14 decimal places, the value willbe 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.

Displaying a Calculation Result as a Recurring Decimal Value

Calculation results that can be displayed as recurring decimal values willbe displayed as such when ON is selected for the Rdec selling on the setup

menu.Pressingthe §!iiI keywillcyclebetweenthe availablecalculationresult

formats as shown below.

~I Recurring Decimal

Decimal Value According to Display (Norm, Fix, Sci) Sellings

Or .

Decimal Value According to Display (Norm, Fix, Sci) Sellings

RecUrringDecimall~

§!iiIll+7

Return to initialdisplay format (Norm 1):

0.1428571429

..!...=0.142857 =0.1428571429 (Norm 1) I!IDI

11BJ7@ ! 1~7

§!iiI11i7

Display as recurring decimal:

0.142857

Decimalvalue accordingtoNorm1selling: ~ 11~7

0.1428571429

Returnto initialdisplayformat(fraction): §!iiI\1 ~7 m 1:71

/ +=0.142857=0.t428571429(NOrm1) rmm

11BJ7@ E ]

/ 1+7 =0.1428571429 (Norm1)= 0.142857=+ I!IDI

1 B:)7@ ,1+7

SitDisplay as recurring decimal:

0.142857

Display as fraction:

Decimal value according to Norm 1 selling:

8 I7"

0.1428571429

Display as recurring decimal:

0.142857

Return to initialdisplay format (fraction):

~ ,1+7

Return to initialdisplay format (Norm 1):

0.1428571429

1 + 7 =..!...= 0.142857 = 0.1428571429 (Norm 1)

m _.

Conditions for Displaying a Calculation Result as a Recurring Decimal

If a calculation result satisfies the following conditions, pressing S will display it as a recurring decimal value.

.The total number of digits used in the mixed fraction (including integer,

numerator,denominator,and separator symbol)must be no more than

10.

Display as fraction:

Display as recurring decimal:

O. 142857

E-12

E-11

.The data size of value to be displayed as the recurring decimal must beno

larger than 99 bytes. Each value and the decimalpointrequireone byte,

and each digij ofthe

periodrequires one byte. The following,for example,

would require

oltotalof Bbytes (4 bytesforthevalues, 1byteforthe decimal

point, 3 bytes for the period): 0.123

Note: Forinfonnationabout switching the display fonnat of a calculation

resutt when OFF is selected for the Rdec setting on the setup

menu, see

"Toggling Calculation Resutts..

Recurring Decimal Examples

/ 0.3+0.45=0.78 IZID

o81!!!1 ~.! ii)3 @>IE 10.3+0. 458

08~~(.)45§)1i3i

....

O.78

/ 1.6+2.8=4.5

1.6+2. 8"

IZID

18~~(ii)6@1E

28~~(ii)B§)1Ei

....

4.5

To confinn the following: 0.123 =~, 0.1234 =~,

_ 12345 999 9999

0.12345=99999

IZID

m ....

1231A1999§) I~~~

333

Ii3iI~~~

G ....

E-13

-- --- ----.

Toggling Calculation ,!!!uJ!!.._ _ J

While Natural Displayis selected, each press of Ii!!iIwill toggle the currently displayed calculation result between its fraction fonn and decimal fonn, ijs

r fonn and decimal fonn, or its n fonn and decimal fonn.

/ n + 6 = -tn =0.5235987756 IZID _

I!!!I~ (n)ffi6§) -tn §i 0.5235987756

/ (,12 + 2) x -13 =,16 + 2-13 = 5.913591358 IZID

m~2@>1E2m!XI~3§) ,16+2-13

~ 5.913591358

While

Unear Displayis selected, each press of Ii!!iIwill toggle the currently

displayed calculation result between its decimal fonn and fraction fonn.

Important: .Dependingonthetypeofcalculation resuttthat isonthe display

when you press the Ii3i key, the conversion process may take some time

to perform. .With certain calculation results, pressing the ~ key will not

convert the displayed value. .When ON isselected for Rdecon the setup

menu, pressing Ii3iwill switch the calculation resutt to recurring decimal fonn.

For details, see "Recurring Decimal Calculations'. .You cannot swijch from

decimal fonn to mixedfraction fonn if the total number of digits used inthe mixed fraction (including integer, numerator, denominator, and separator symbols) is greaterthan 10.

Note: Wijh Natural Display (MathO), pressing I!!!I§) instead of §) after inputting a calculation will display the calculation result in decimal fonn. Pressing

Ii3iafter that will swijch the calculation resutt to recurring decimal

fonn, fraction fonn or n fonn. The

r fonn of the result will not appear in

this case.

~ -- - - - - - -.

I Basic Calculations

___ __ ___I

Fraction Calculations

Notethat the input methodforfractions is different, dependingupon whether

you are using Natural Display or Linear Display.

7~6

E.14

0.123

1234

12341aJ9999§) 19999

1234

9999

iiJJiiiiA

1234

Ii3i19999

0.1234

12345

12345(E 99999§)

199999'

4115

33333

I '?A!=i:

1i3i.

0.12345

/ 1+5=0.2=t

ImII

1ffi5§)

0.2 15

/ 1-t=t=0.2

ImII

1E)4(E5§)

15 0.2

/4-3t=trmm 48f!BtaJl-§-13@1~2§) t

_ 4831!!111BJ2§)1~2

Note: .Mixing fractions and decimal values 81a calculation while Linear

Display is selected willcause 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%.%)

To switch a calculation result between fraction and decimal form:

Press 1i!ID.

Percent Calculations

Inputtinga valueandpressing @!j)CD(%)causes the inputvalueto become

a percent.

Degree, Minute, Second (Sexagesimal) Calculations

Performinganadditionorsubtractionoperationbetweensexagesimalvalues,

ora multiplicationor divisionoperationbetweena sexagesimalvalueand a decimalvaluewillcause the resulttobe displayedas a sexagesimalvalue. You also can convert between sexagesimal and decimal.The following is the inputformatfor a sexagesimal value:(degrees) 8 (minutes) 8 (seconds) 8.

Note: You must always input something for the degrees and minutes, even ifthey are zero.

/ 2°20'30"+ 39'30"= 3°00'00"

2820830 8 ~ 08 39830 E3§)

/ Convert2°15'18"to itsdecimalequivalent.

28158188§)

(Convertssexagesimaltodecimal.)

(Convertsdecimal10sexagesimal.) 8

2°15'18-

2.255

2°15'18"

E-15

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+3:3x3

3~3(!iE!}~(:)31&J3§)

§)

6 9

Using Engineering Notation

A simple key operation transforms a displayed value to engineering notation.

/ Transform the value 1234 to engineering notation, shifting the

decimal point to the right.

1234 §)

@ @ID

1234

1.234x103 1234x10.

Transform the value 123 to engineering notation, shifting the decimal point to the left.

123§) 123 @!!It~](<-) 0.123x103 1!!iI~(<-) 0.000123x10'

Calculation History

In the COMP, CMPLX, or BASE-N Mode, the calculator remembers up to approximately 200 bytes of data for the newest calculation. You can scrolt through calculation history contents using @ and ~.

1~1§) 2

2~2§) 4

3~3§) 6

(Scrolls back.) @ 4

(Scrolls back again.) @ 2

Note: Calculation history data is all cleared whenever you press ~, when you change to a different calculation mode, when you change the display

format, or whenever you perform any reset operation.

1 + 1 =2

2+2=4 3+3=6

Replay

While a calculation result is on the display, you can press <3:>or ~ to edit the expression you used for the previous calculation.

/ 4 x3+2.5= 14.5 _ 41&J3~2.5§)

4x3-7.1 =4.9 (Continuing)<3:>t!IDt!ID1!ID@)87.1

§)

14.5

4.9

Note: If you want to edit a calculation when the ~ indicator is on the right

side of a calculation result display (see "Reading the Display"), press §J and then use <3:>and ~ to scroll the calculation.

E-16

/ 150x20%=30 150 I&J20 I!!!ICD(%)§)

/ Calculate what percentage of 880 is 660. (75%)

660

ffi 880 @!j)CD(%)§)

/ Increase 2500 by 15%. (2875)

2500 2500 I&J151!!!1CD(%)§)

2875

/ Discount 3500 by 25%. (2625)

3500133500 I&J251!!!1 CD(%)§)

2625

Answer Memory (Ans)/Previous Answer Memory (PreAns)

The last calculation result obtained is stored "' Ans ':answer) memory, The calculation result obtained prior to the last one is sto<ed "' PreAns (previous answer) memory. Displaying the result ofa new calculation willmove current

Ans memory contents to PreAns memory and store the new calculation

results in Ans memory. PreAns memory can be used only in the COMP Mode. PreAns memory contents are cleared whenever the calculator enters

another mode from the COMP Mode.

For T,-, = T,.\ + T, (Fibonacci sequence), determine the sequence from T, to T,. Note however, that T, = 1 and T, = 1. Em

I m .0.'I

T,=1 1§) 1 1

(An.:f,: 1)

I m 1

T,=1 1§) 1 1

(Ans "" T:= 1, PreAns = TI = 1)

13=12+T1=1+1 I iii MaUl.

. 1!!!!!1E1!ffi!!I1!!!!!(PreAns)§) Ans+PreAns

T. = T3+ T, = 2 + 1

(Ans "" T3 "" 2. PreAns ""T;:"1)

(!] Math.

§),AnS+PreAnS

T, = T. + T, = 3 + 2

(Ans;z T~ "" 3. PreAns "" 13 = 2)

iii Me"'.

§) ,Ans+PreAns

Result: The sequence is {1, 1,2,3, 5}.

E-17

Variables (A,B,C,D,E,F,X,Y)

Yourcalculator 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

31E 51!!i]1ffiI(STO)IE)(A)

To multiply the contents of variable A by 10

(Continuing) I!ffi!!lIE)(A)1ID10 §)

To recall the contents of variable A (Continuing) I!!IDIE) (A)

oTo clear the contents of variable A

OI!!i]I!!ID(STO)IE)(A)

Independent Memory (M)

You can add calculation results to or subtract results from independent

memory.The"M"appears on the displaywhenthereisanyvalueotherthan

zero stored in independent memory.

/ Toclear the contentsofM OI!!!lIffil(STO)!!i!I(M) 0 / Toadd the resultof10x 5 toM (Continuing) 10lID5!!i!1 50 / Tosubtractthe resultof 10+ 5fromM

(Continuing) 10IE 5@!j)[iE(M-) 15

/ Torecallthecontents of M (Continuing) I§) ~(M) 35

Note: VariableMis

used for independent memory.

Clearing the Contents of All Memories

Ansmemory, independentmemory,and variablecontentsare retainedeven

if you press gg, change the calculationmode, or turn off the calculator. PreAns memory contents are retained even if you press

gg and turn off the

calculatorwithout exiting the COMP Mode. Perform the following procedure when you want to clear the contents of altmemories.

I!!!IIID (ClR) o (Memory) §) (Yes)

~-~dft~Cal~uiaiiMi~"~'~: - ~:J

Youcan use the +Rfunctionin order to obtain the quotient and remainder

in a division calculation.

To calculate the quotient and remainder of5 +2

51!!!iiiJ1II(+R)2§) .5+R2

2,R=1

QuotientRemainder

51!!!iiiJ'jiH+R)2§)15+R2 d

R= 1

QuotientRemainder

E-18

Todividetheresultof3 x4 by 30 ImIJ

121

31ID4§) I

(ZJ30 §) I Ans+30

041

(Continuing)

/ 123+456=579 Em

1231E456§) I

5791

789 -579 =210 !789-Ans

MalliA

(Continuing) 789 Ell!!!!!§)

210

+ 21 hidden pages

Casio fx-115ES PLUS, fx-991ES PLUS C User Manual

Specifications and Main Features

Frequently Asked Questions

User Manual