fx-115es plus fx-991es plus c
TRANSCRIPT
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fx-115ES PLUSfx-991ES PLUS CUser's Guide............................................................................................................................... ... .......CASIO Worldwide Education Website
http://edu.casio.comCASIO EDUCATIONAL FORUM
http://edu.casio.com/forum/
I
RJA525440-001 V01 CASIO~
.J?p~tel!,t!Important Information 2Sample Operations 2Initializing the Calculator 2Safety Precautions 2Handling Precautions 2Removing the Hard Case 3Turning Power On and Off 3Adjusting Display Contrast 3Key Markings 3Reading the Display 4Using Menus 5Specifying the Calculation Mode 5Configuring the Calculator Setup 5Inputting Expressions and Values 7Recurring Decimal Calculations 10Togging Calculation Results 14Basic ~~ 14~1deI ~ 18Prime F ~. 19Func::IiDr~ 20Comp6ex~ CaK'oIbtinqs(CMPlX) 25Using CAi..C 26Using SOLVI" 27Statistical Calculations (STAT} 29Base-n Calculations (BASE-N) 33Equation Calculations (EQN) 35MatrixCalculations (MATRiX) 37Creating a Number Table from 1WoFunctions (TABLE) 39Vector Calculations (VECTOR) 41Inequality Calculations (lNEQ) 43Using VERIFY(VERIF) 45Distribution Calculations (DIST) 47Scientific Constants 50Metric Conversion 51Calculation Ranges, Number of Digits, and Precision 52Errors 54Before Assuming Malfunction of the Calculator_ 56Replacing the Battery 56Specifications 57Frequently Asked Questions 57
.The displays and illustrations (such as key markings) shown in this User'sGuide are for illustrative purposes only, and may differ somewhat from theactual 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 orarising out of the purchase or use of this product and items that come withit. Moreover, CASIO Computer Co., Ltd. shall not be liable for any claim ofany kind whatsoever by any other party arising out of the use of this productand the items that come with it..Be sure to keep all user documentation handy for future reference.
t.§anipleop...Ii,jiojs- ~~ ISample operations in this manual are indicated by a / icon. Unlessspecifically stated, all sample operations assume that the calculator is in itsinitial default setup. Use the procedure under "Initializing the Calculator" toreturn the calculator to its initial default setup.
For infonnation about the 1miD, 1IImI, 1m, and _ marks that am shownin 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 andreturn the calculation mode and setup to their initialdefault settings. Note thatthis 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 thecalculator.Never leave a dead batteryin the calculator.Do not try usingthe calculatorwhilethe batteryis completelydead..The battery that comes with the calculator discharges slightly duringshipment and storage. Because of this, It may require replacementsooner than the normal expected battery life..Do not use an oxyrlde battery' or any other type of nickel-basedprimary battery with this product. Incompatibility between suchbatteries and product specifications can result in shorter battery tlfeand product malfunction..Avoid use and storage of the calculator In areas subjected totemperature extremes, and large amounts of humidity and dust..Do not subject the calculator to excessive Impact, pressure, orbending. 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 Inaccordance with the laws and regulations in .,.,.. particular area.
. Company and product names used in this manual may be registeredIrl'demarks or trademarks of their respective owners.
~.. . -~~'the a..d£'is!.~e...~ slide its hard
~(ILJ!l"_. the calculator, ndthenaffix 'I..J
BeforedO~~:~rds to remo
k
~~t~eacalculatoras ~ ,.case to the bac .the hard cahse illustration nearby_shown In t e
-=-=:dTurningpovver 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 calculatortrod<or
Adjusting DispIaY.Contra'Si:~ "'" ~ saee<' !It-perlonning the following key operation:~~ISEl1.R,@OO''''CONT~J. Next, use @ and <E>to adjustcxrcrasL A.~.erIhe setOOg is Ihe way you want, press @.
Important: If adjusmg display contrastdoes not Improve display readability,it probably means that balfery power is low. Replace the battery.
[~Ma"kliig,-_ . _ _:_Pressing the I!!iIor ~ key followed by a secondkey pertorms the alternate function of the second key.The alternate function is indicated by the text printedabove the key. .The following shows what the different colors of thealternate function key text mean.
Alternate function
sin-1rD,
~Keycap function
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~di_f;'.QI~'.liDRJJJf2;[.'I'~. TI ;11,~.22~1
The display oUhe calculatorshows expressionsyou input,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 @ toscroll the calculation result display..If a I> indicator appears on the right side of the input expression, it meansthe displayedcalculation continues to the right. Use <E>and @ to scroll theinput expression display. Note that if you want to scroll the input expressionwhile both the ~ and I> indicators are displayed, you will need to press @)first and then use <E>and @ to scroll.
Display Indicators
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If key marking text It means this:Is this color:
Press@!jJ and then the key to access theYellow applicable function.
Press and then the key to i1puI theRed applicable variable, constant, 0<symbol.
Purple (or enclosed Enter the CMPLX Mode10access !he function.in purple brackets)
Green (or enclosed inIEnter the BASE '!oOe .. ac:essthefunction.green brackets)
This Means this:indicator:
The keypad has been shifted by pressing the I!!iI key. Thekeypad will unshift and this indicator will disappear whenyou press a key.
a The alpha input mode has been entered by pressing theI!!i!i!Ikey. The alpha input mode will be exited and thisindicator 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 toSTO assign a value to the variable. This indicator appears after
youpress@!iJmm(STO).The calculator is standing by for input of a variable name to
RCL recall the variable's value. This indicator appears after youpress mm.
STAT The calculator is in the STAT Mode.
CMPLX The calculator is in the CMPLX Mode.
MAT The calculator is in the MATRIX Mode.
VCT The calculator is in the VECTOR Mode.
m The default angle unit is degrees.
rn The default angle unit is radians.
r!! The defaull angle unit is grads.
FIX A fixed number of decimal places is in effect.
SCI A fixed number of significant digits is in effect.
Math Natural Display is selected as the display format.
Calculation history memory data is available and can be...'" replayed, or there is more data abovelbelow the current
screen.
ThedisplaycooenItt_ an~te resultofamulti-statement calculation.
Important: For some type of calculationthat takes a long timeto execute,the display may show only the above indicators (without any value) while itperforms the calculation intemally.
Dlsp
~'" = ::-JSome of the calculator's operations are performed using menus. PressingI!!IDor 11iiiJ,for example, will display a menu of applicable functions.The foltowing are the operations you should use to navigate betweenmenus..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 anothermenu below the current one.The '" indicator means another menu above.Use <i> 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. --=:JFirst perform the following key operation to display the setup menu:~I!!!!J(SETUP). Next,use <i>and @ and the numberkeys to configurethe seUingsyou want.Underlined (_) settings are initial defaults.
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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.
2215
MthIO:SelectsM!!!!JQor LineO. MathOdisplays input and calculation resultsusing the same format as they are written on paper. LineO displays input thesame way as MathO, but calculation results are displayed in linear format.
Unear Display (UnetO) causes fractions and I mother expressions to be displayed in a single 4J5+2J3line.
Note: .The calculator switches to Linear Display automatically whenever youenter the STAT, BASE-N, MATRIX,or VECTOR Mode. 'In this manual, the
CtmI symbol next to a sample operation indicates Natural Display (MathO),while the I!IZ!J symbol indicates Linear Display.
(!) Deg (!) Rad IIDGra Specifiesdegrees, radians or grads as the angleunit for value input and calculation result display,Note: In this manual, the _ symbol next to a sample operation indicatesdegrees, while the 1msymbol indicates radians.
lID Fix CZJSel lID Norm Specifies the number of digits for display of acalculation resulr.--Fix: The value you specify (from 0 to 9) controls the number of decimalplaces for displayed calculation results. Calculation results are rounded offto 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 1 to 10) controls the number of significantdigits for displayed calculation results. Calculation results are rounded off tothe specified digit betore being 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 results will be displayed in non-exponentialformat. Outside the specified range, results are displayed using exponentialformat.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)
<i> IDab/c <i>m die Specilies either mixed fraction (ab/c) or improperfraction(dlc)~ of fractions in calculation results,
<i> (!) CMPLX ID a+bi ; mr Le Specifies eitherrectangular coordinates
(a+b.) or polar cOoidinaies (rLe) for EON Mode solutions.
<i> (!)STAT IDON; mOFF Specifieswhether or not to display a FREO(frequency) column in iiieS'fiiT Mode Stat Editor.
<i> IIDTABLE IDf(x); mf(x),Q(x) Specifies whether to use functionj(x)only or the two functionsj(x) and g(x) in the TABLE Mode.
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When you want to perform this type of Perform this keyoperaIion: operation:
GenefaI", I!ii!)ID(COMP)
....ooer caIcUations I!ii!)m(CMPLX)
SIaIisticaI and regression calcutations I!ii!)(!)(STAT)
Calculations invoImg specific numbersystems (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<i>@)(DIST)
~ [!) Rdec [D ON ; m OFF SpeciIies whether or not to displaycalculation resUiiSUSlng recurmg deanaliorm.
~ m Disp [D Dot; m Comma Specifies whether to display a dot ora comma for the calculation result decimal point. A dot is always displayedduring input.Note: When dot is selected as the decimal point, the separator for multipleresults is a comma (,). When comma is selected, the separator is asemicolon (;).
~ !II CONT~ Adjusts display contrast. See "Adjusting DisplayContrast" for details.
Initializing Calculator SettingsPerform the foltowing procedure to initialize the calculator, which returns thecalculation mode to COMP and returns alt other settings, including setupmenu setlings, to their initial defaults.
(!!iJ [[)(CLR) [D (Setup)§) (Yes)
Inputtinq E~~t8SSiohS' ~nd VallAt$ 1Basic Input RulesCalculations can be input in the same form as they are written, When youpress §) the pIioIity sequence of the input calculation will be evaluated~ and the result will appear on the display.
/ 4.sD30xl30~10x3)=I204 !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 omittedwhenitoccursimmediatelybeforean openingparenthesis,immediately before sin or other function that includes parentheses,immediatelybefore the Ran# (randomnumber)function,or immediatelybeforea variable(A,S, C, 0, E, F, M,X, Y),scientificconstants, 1tor e.
., The closing parenthesis immediatelybefore the §) operation can beomitted.
Input example omitting (2g" and CD" operations in the aboveexample. . m MaUl"
4@30 CDIIJ30ffi 101ID3§) ,4S1n(30)(30+10X3120
Note: .It the calculation becomes longer than the screen width duringinput, the screen willscroll automatically to the right and the indicator willappear on the display. When this happens, you can semi back to the left byusing @ and <e) to move the cursor. .When LiIear Display is selected,pressing @ willcause the cursor to jump to the ~ of the calculation,while ~ will jump to the end. .When NaIuIaI Display is selected, pressing
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<e) while the cursor is at the end of the input calculation will cause ~to jumpto the beginning, while pressing @ while the cursor is at the beginning willcause 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 functionsrequire three to 13 bytes. .The cursor will change shape to . when there are10 bytes or less of allowed input remaining. It this happens, end calculationinput and then press §).
Calculation Priority SequenceThe priority sequence of input calculations is evaluated in accordance w~h therules below. When the priorityof two expressions is the same, the calculationis performed trom left to right.
Inputting with Natural DisplaySelecting Natural Display makes it possible to input and display fractionsand 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
m
E-8
Isl Parenthetical expressions
2nd Functions that require an argument to the right and a closingparenthesis "j" following the argument.
3rd Functionsthat come 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 valuebeing squared must be enclosed in parentheses (IIJ IBJ 2 m
5th §). Since XZhas a higher priority than the negative sign,inputting IBJ 2 §) would result in the squaring of 2 and thenappending a negative sign to the result. Always keep the prioritysequence in mind, and enclose negative values in parentheseswhen required.
6thMetric 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 polarcoordinate 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 acalculation formula to be greater than one dislJlayline. The maximumallowableheightofa calculationformulaistwo<ispIayscreens (31dotsx2).Furtherinputwillbecome impossibleifthe heightof the calculationyou areinputting exceeds the allowable limit. .Nesting of functions and parenthesesis allowed. Further input willbecome impossible ifyou nest too many functionsandlor parentheses. Ifthis happens, divide the calculation into multiple partsand calculate each part separately.
Note: When you press lEI and obtain a calculation result using NaturalDisplay, part of the expression you input may be cut off. If you need to viewthe entire input expression again, press @ and then use @ and <E>toscroll the input expression.
Using Values and Expressions as Arguments(Natural Display only)Avalue or an expression that you have already inputcan be used as the
argument of a function. After you have input t, for example, you can make
it the argument of r, resulting infl./ To input 1 + t and then change it to 1 +fl ED
1~7fSJ6 [1+~
@@@@I!!!J@(INS) ~
~[!;i
e ....
m
m
As shown above, the value or expression to the right of the cursor afterI!!!J@)(INS) are pressed becomes the argument of the function that isspecified next. The range encompassed as the argument is everything upto the first open parenthesis to the right, if there is one, or everything up tothe 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 whileLinear Display is selected. In the overwrite mode. text you input replaces thetext at the current cursor location. You can toggle between the insert andoverwrite modes by performing the operations: I!!!J@ID(INS).The cursorappears as "I" in the insert mode and as "_" in the overwrite mode.
Note: Natural Display always uses the insert mode, so changing displayformat from Linear Display to Natural Display will automatically switch tothe insert mode.
Correcting and Clearing an ExpressionTo delete a single character or function: Move the CUlSOIso it is directly tothe 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 characteror function you want to delete, and then press §.
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To Insert a character or function fnto a calculation: Use @ and <E>tomove the cursor to the location where you want to insert the character orfunction and then input it. Be sure always to use the insert mode if LinearDisplay is selected.To clear all of the calculation you are Inputting: Press @.
~e~ul'rinscDi.CT~a1Cula'lOiiiiYourcalculatoruses a recurringdecimalwhenyouinputa value.Calculationresults also can be displayed using recurring decimal form wheneverapplicable.
Inputting a Recurring DecimalWhen inputting a recurrent decimal, press @@~(.) before inputting itsperiod (repetend) and then input the period up to the ending value. To inputthe 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...), donot include the integer part when inputting the period (12.312). .Recurringdecimal 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@@@(.) [0m Mo.
428571
m
1.4285711
/ To calculate 1.021 + 2.312 ED18@@@(.)021(E)~
28 @@@(ii)3121E1
rn Malll.
1. 021 +2. 31210
"3
Calculation result displayed as recurringdecimal value:
_ rn Ma\fl.
@ 11.021 +2. 3123.3
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~ ....Note: . You can specify up to 14 decimal places for the recurring decimalperiod. Ifyou input more than 14 decimal places, the value will be treated asa terminating decimal and not a recurring decimal. .Recurring decimal valueinput can be performed regardless of the Rdec selling on the setup menu.
Displaying a Calculation Result as a RecurringDecimal ValueCalculation results that can be displayed as recurring decimal values willbedisplayed as such when ON is selected for the Rdec selling on the setupmenu. Pressingthe §!iiI keywillcyclebetweenthe availablecalculationresultformats 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+7Return to initial display format (Norm 1):0.1428571429
..!...=0.142857 =0.1428571429 (Norm 1) I!IDI7
11BJ7@ ! 1~7
§!iiI11i7
~
m
Display as recurring decimal:0.142857
~
Decimalvalue accordingto Norm1selling: ~ 11~70.1428571429
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!IDIm
1 B:)7@ ,1+7m _.SitDisplay as recurring decimal:
0.142857Display as fraction:
1Decimal value according to Norm 1 selling: 8 I 7"
0.1428571429Display as recurring decimal:
0.142857Return to initial display format (fraction): m
~ ,1+7Return to initial display format (Norm 1):0.14285714291 + 7 =..!...= 0.142857 = 0.1428571429 (Norm 1)7
m _.Conditions for Displaying a Calculation Result as aRecurring DecimalIf a calculation result satisfies the following conditions, pressing S willdisplay 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 than10.
Display as fraction:
-.Display as recurring decimal:
O. 142857E-12E-11
I
.The data size of value to be displayed as the recurring decimal must be nolarger than 99 bytes. Each value and the decimalpoint requireone byte,and each digij of the periodrequires one byte. The following, for example,would requireoltotalof Bbytes (4 bytesfor thevalues, 1 bytefor the decimalpoint, 3 bytes for the period): 0.123
Note: For infonnationabout switching the display fonnat of a calculationresutt 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. 45808~~(.)45§)1i3i
....
O.78/ 1.6+2.8=4.5
1. 6+2. 8"
IZID18~~(ii)6@1E28~~(ii)B§)1Ei
m ....
4.5
To confinn the following: 0.123 =~, 0.1234 =~,_ 12345 999 9999
0.12345= 99999 IZIDm ....
1231A1999 §) I~~~41
333
Ii3i I~~~G ....
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-- --- ----.Toggling Calculation ,!!!uJ!!.._ _ J
While Natural Display is selected, each press of Ii!!iIwill toggle the currentlydisplayed calculation result between its fraction fonn and decimal fonn, ijsr 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 IZIDm~2@>1E2m!XI~3§) ,16+2-13~ 5.913591358
WhileUnear Display is selected, each press of Ii!!iIwill toggle the currentlydisplayed calculation result between its decimal fonn and fraction fonn.
Important: .Dependingon the type ofcalculation resuttthat is on the displaywhen you press the Ii3i key, the conversion process may take some timeto perform. .With certain calculation results, pressing the ~ key will notconvert the displayed value. .When ON is selected for Rdec on the setupmenu, pressing Ii3iwill switch the calculation resutt to recurring decimal fonn.For details, see "Recurring Decimal Calculations'. .You cannot swijch fromdecimal fonn to mixed fraction fonn if the total number of digits used in themixed fraction (including integer, numerator, denominator, and separatorsymbols) is greater than 10.Note: Wijh Natural Display (MathO), pressing I!!!I§) instead of §) afterinputting a calculation will display the calculation result in decimal fonn.Pressing Ii3iafter that will swijch the calculation resutt to recurring decimalfonn, fraction fonn or n fonn. The r fonn of the result will not appear inthis case.
~ -- - - - - - -.I Basic Calculations___ __ ___IFraction CalculationsNote that the input method for fractions is different, depending upon whetheryou are using Natural Display or Linear Display.
7"6
7"6
7~6
E.14
I
0.123
123412341aJ9999 §) 19999 1234
9999
iiJJiiiiA1234
Ii3i199990.1234
1234512345(E 99999§) 199999'
411533333
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 LinearDisplay is selected will cause the resun to be displayed as a decimal value..Fractions in calculation results are displayed after being reduced to theirlowest terms.
To switch a calculation result between improper fraction and mixedfraction form: Perform the following key operation: I!!!I ~(a%.%)To switch a calculation result between fraction and decimal form:Press 1i!ID.
Percent CalculationsInputtinga valueand pressing @!j)CD(%)causes the inputvalueto becomea percent.
Degree, Minute, Second (Sexagesimal) CalculationsPerformingan additionorsubtractionoperationbetweensexagesimalvalues,or a multiplicationor divisionoperationbetweena sexagesimalvalueand adecimalvaluewillcause the resultto be displayedas a sexagesimalvalue.You also can convert between sexagesimal and decimal. The followingis the input formatfor a sexagesimal value: (degrees) 8 (minutes) 8(seconds) 8.Note: You must always input something for the degrees and minutes, evenif they are zero.
/ 2°20'30"+ 39'30"= 3°00'00"2820830 8 ~ 08 39830 E3 §)
/ Convert2°15'18"to its decimalequivalent.28158188§)
(Convertssexagesimal to decimal.) 8(Convertsdecimal10sexagesimal.) 8
2°15'18-2.255
2°15'18"
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Multi-StatementsYou can use the colon character (:) to connect two or more expressions andexecute them in sequence from left to right when you press §).
/ 3+3:3x3 3~3(!iE!}~(:)31&J3§)
§)
69
Using Engineering NotationA simple key operation transforms a displayed value to engineeringnotation.
/ Transform the value 1234 to engineering notation, shifting thedecimal point to the right.
1234 §)
@@ID
12341.234x1031234x10.
Transform the value 123 to engineering notation, shifting the decimalpoint to the left.
123§) 123@!!It~](<-) 0.123x1031!!iI~(<-) 0.000123x10'
Calculation HistoryIn the COMP, CMPLX, or BASE-N Mode, the calculator remembers up toapproximately 200 bytes of data for the newest calculation. You can scroltthrough calculation history contents using @ and ~.
1~1§) 22~2§) 43~3§) 6
(Scrolls back.) @ 4
(Scrolls back again.) @ 2
Note: Calculation history data is all cleared whenever you press ~, whenyou change to a different calculation mode, when you change the displayformat, or whenever you perform any reset operation.
1 + 1 =2
2+2=43+3=6
ReplayWhile a calculation result is on the display, you can press <3:>or ~ to editthe 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 rightside of a calculation result display (see "Reading the Display"), press §Jand then use <3:>and ~ to scroll the calculation.
E-16
.
/ 150x20%=30 150 I&J20 I!!!I CD(%)§) 30
/ Calculate what percentage of 880 is 660. (75%)660 ffi 880 @!j)CD(%)§) 75
/ 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, Thecalculation result obtained prior to the last one is sto<ed "' PreAns (previousanswer) memory. Displaying the result of a new calculation willmove currentAns memory contents to PreAns memory and store the new calculationresults in Ans memory. PreAns memory can be used only in the COMPMode. PreAns memory contents are cleared whenever the calculator entersanother mode from the COMP Mode.
For T,-, = T,.\ + T, (Fibonacci sequence), determine the sequencefrom T, to T,. Note however, that T, = 1 and T, = 1. Em
I m .0.'IT,=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
2(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. Youcan assign values to variables and also use the variables in calculations.
/
/
//
To assign the result of 3 + 5 to variable A31E 51!!i]1ffiI(STO)IE)(A) 8
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)
80
8
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 independentmemory.The "M"appears on the displaywhenthere isany valueother thanzero stored in independent memory.
/ Toclear the contentsof M OI!!!lIffil(STO)!!i!I(M) 0
/ Toadd the resultof 10x 5 to M (Continuing) 10lID5!!i!1 50
/ Tosubtract the resultof 10+ 5 fromM(Continuing) 10 IE 5@!j)[iE(M-) 15
/ Torecallthe contents of M (Continuing) I§) ~(M) 35
Note: VariableMis used for independent memory.
Clearing the Contents of All MemoriesAnsmemory, independent memory, and variablecontentsare retainedevenif you press gg, change the calculationmode, or turn off the calculator.PreAns memory contents are retained even if you press gg and turn off thecalculator without exiting the COMP Mode. Perform the following procedurewhen you want to clear the contents of alt memories.
I!!!IIID (ClR) o (Memory) §) (Yes)
~-~dft~Cal~uiaiiMi~"~'~: - ~:JYoucan use the +R functionin order to obtain the quotient and remainderin a division calculation.
/ To calculate the quotient and remainder of 5 +2m
3 51!!!iiiJ1II(+R)2§) .5+R22,R=1
5
Quotient Remainder
51!!!iiiJ'jiH+R)2§)15+R2 dR= 1Quotient Remainder
E-18
.
/ Todividethe resultof 3 x 4 by 30 ImIJ12131ID4§) I
(ZJ30 §) I Ans+30
m
041(Continuing)
/ 123+456=579 Em 1231E456§) I 5791
789 - 579 =210 !789-Ans
m MalliA
(Continuing) 789 Ell!!!!! §)210
Note: .Only the quotient value of a +R caIcUaIion is stored in Ans memory..Assigning the result of a remainder division calculation to a variablewill 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)will assign a value of 2 to X. . If a +R calculation is part of a multi-stepcalculation, only the quotient is passed on to the next operation. (Example;10 IE 17 ~1iiI(+R)6 §) 10+ 2) .Operation olthe ~ and 8 keysisdisabled while a remainder division result is on the display.
Cases when Remainder Division becomesNon-remainder DivisionIf either of the following cond~ions exists when you pertorm a remainderdivision operation, the calculation will be treated as normal (non-remainder)division..When e~her the dividend or the divisor is a very large value
Example:20000000000 I!ffii!)1.)(+R)17§)Calculated as: 20000000000 + 17.When the quotient is not a pos~ive integer, or if the remainder is not a
positive integer or positive fractional value
Example; lEI5 ~ I)IJ(+R) 2 §) -> Calculatedas; -5 + 2
~Prime Factorization .~.~.~mv.~.~ :1-- ~: ",~"""".' ~ .....-
In the COMP Mode, you can factor a positive integer up to 10 digits intoprime factors up to three digits.
To pertorm prime factorization on 1014
1014 IE
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 followingcannotbe used inJ!x), a, or b: I, dldx, L, n.
~-: Determ~nes the product of J!x) over a given range. The calculationformula 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&.Note: The followingcannot be use\! inJ!x): Pol, Rec, +R. The followingcannotbe used inJ!x), a, or b: I, dldx, L, n.
Pol, Rec: Pol converts rectangular coordinates to polar coordinates, whileRec converts polar coordinates to rectangular coordinates. See .lll.
Pol(x, y) = (r, 8) Rec(r, 8) = (x, y) Specify the angle unit before
tr ~ performing calculations.p(;r.y) p(r,8) .The calculatoon result for rand 8i -2!!l and forx and yare each assignedi respectively to variables Xand Y.
° . . x Calculation result 8 is displayed
Rectangular Polar in the range of _180. < 8 :5Coordinates(Rae) Coordinates(Pol) 1800.
X I: Factorialfunction.See ~.Abs: Absolute value function. Note that the input method is differentdepending upon whether you are using NaturalDisplayor LinearDisplay.See~.Ran#: Generates a 3-digitpseudo random number that is less than 1.The result is displayed as a fractionwhen Natural Display is selected.~Ranlnt#: For input of fhe function of the form Ranlnt#(a. b), which generatesa random integer wifhin the range of a to b. See ~.
nPr, nCr: Permutation (nPr) and combination (nCr) functions. See LIz.
Rnd :The argument of this function is made a decimal value and then roundedin accordance with the current number of display digits setting (Norm, Fix, orSci). With Norm 1 or Norm 2, the argument is rounded off to 10 digits. WithFix and Sci, the argument is rounded off to the specified digit. When Fix 3is the display digits setting, for example, the result 0110 + 3 is displayedas 3.333, while the calculator maintains a value of 3.33333333333333 (15digits)intemallyfor calculation.In the case of Rnd(10+3)=3.333 (with Fix3), both the displayed value and the calculator's intemal value become3.333. Because of this a series of calculations will produce different resultsdepending on whether Rnd is used (Rnd(10+3) x 3 =9.999) or not used (10.. 3 x 3 =10.000). See As.
GCD, LCM: GCD determines the greatest common divisor of two values.
while LCM determines the least common multiple. See ~.
Int: Extracts the integer part of a value. See ~.
E.21
Intg: Deferminesthe largest integer that does not exceed a value. See~.
Note: Usingfunctionscan slowdowna calculation,whichmaydelaydisplayof the result.Donot performany subsequent operationwhilewaitingforthecalculationresult to appear. To interruptan ongoingcalculationbefore itsresultappears, press @.
Integration and Differential Calculation Precautions.Integration and differential calculations can be performed in the COMPMode(~[IJ) only..The following cannot be used inJ!x): Pol, Rec, +R. The following cannotbe used inJ!x), a, b, or /01: I, dldx, L, n.
. When using a trigonometric function in J!x), specify Rad as the angleunit..A smaller /01 value increases precision, but it also increases calculationtime. When specifying /01, use value that is 1 x 10-" or greater.
Precautions for Integration Calculation Only.Integration normally requires considerable time to perform..For J!x) < 0 where a ;;; x ;;;b (as in the case of J~ 3r - 2 =-1), calculationwill produce a negative result..Depending on the content of J!x) and the region of integration, calculationerror that exceeds the tolerance may be generated, causing the calculatorto display an error message.
Precautions for Differential Calculation Only.If convergence to a solution cannot be found when /01 input is omitted, the/0/ value will be adjusted automatically to determine the solution..Non-consecutive points, abrupt fluctuation, extremely large or small points,inflection points, and the inclusion of points that cannot be differentiated,or a differential point or differential calculation result that approaches zerocancause poorprecisionor error.
Tips for Successful Integration CalculationsWhen a periodic function or integration interval results in positive andnegative fix) function valuesPerform separate integrations for each cycle, or for the positive part and thenegative part, and then combine the results.
ft~
Ib
Ic I
b
a f(x)dx =J(x)dx + (- .f(x)dx)~~
PositivePart NegativePart(5 Positive) (5 Negative)
When integration values fluctuate widely due to minute shifts in theintegration IntervalDivide the integration interval into multiple parts (in a way that breaks areasof wide fluctuation into small parts), perform integration on each part, andthen combine the results.
f~)
tJ\~z
Ib Ix. Ix,
a f(x)dx = 0 f(x)dx + x,f(x)dx+.
+I>X)dx
E.22...
Examples
Li sin 30°= 0.5 ImllIEIsin-'O.5= 30° ImllIEI
h sinh1= 1.175201194cosh-'1=0
1!i!!130[IJlEIi!!jJ I!i!!I(sin-') 0.5 [IJ lEI
ffiW!D(sinh)1 [IJIEI 1.175201194ffiWlID(cosh-') 1 [IJ lEI 0
6. 1t/2radians = 90°, 50 grads = 45° lEIm 1ffiI@ijj(1t)1E2[IJ i!!jJ f!!!J(DRG~)[IJ(')1EI
50 i!!jJ f!!!J(DRG~) (II (9) lEI
~ To calculate e' x 2 to three significant digits (Sci 3)
IffiII!2i!J(SETUP) ILl (Sci) (II
rmmImII
2.97x1022.97x1 Q2
344
1m@(e")5 <E>(jg 2 lEI
i!!jJ !W (el) 5 [IJ (jg 2 lEI
h log,.1000 = log 1000 = 3
log216=4
§) 1000 [IJ lEI§) 2 i!!jJ [IJ (,) 16 [IJ lEI
~2<E>161E1
h Tocalculate In 90 (= log, 90) to three significant digits (Sci 3)
i!!jJI!@(SETUP)ILI(Sci)(II !W90[IJlEI 4.50x10.
L:z. 1.2x 10'= 1200rmm 1.2(jg10@)31E1(1+1)'" = 16 rmm mIlE 1[IJ @)21E 2 lEI(5')'=15625 m 51£1[IJi!!jJ1£I(x3)lEI~=2 rmm 1m@)('Yo)5<E>321E1
ImII 51!!j) @)('Yo)32 [IJ lEI
To calculate 12 x 3(= 312 = 4.242640687...) to three decimalplaces (Fix 3)
i!!jJ1!2i!J(SETUP)!II(Fix)@ rmm
120016
1562522
Gi) 2 <E> (jg 3 lEI
I!!j)IEIGi) 2 [IJ (&) 3 lEI
3-124.2434.243
h J:ln(x) =1rmm 11iB!W~ [IJ (X)[IJ <E>1<E>~ @ijj(e)1EIImII 11iB!WI!!WII) (X)[IJ IffiI[I) (,)
1 1m [IJ (,) I!!W @ijj(e)[IJ lEI
h To obtain the derivative at point x = rrJ2for the function y = sin(x)..rmm 1ffi111iB(£-.) I!i!!I~ [IJ (X)[IJ
<E>III 1m (@(It)<E>2 lEI 0ImII i!!jJas (£-.)@I!!W[I) (X)[IJ
i!!jJ[IJ (,)i!!jJ(@(It)1II 2 [IJ lEI 0
E-23
0.530
& L(X+I)=20,.,rmm 1ffiI~(:;:-)~II)(X)IEI<E>I<E>51E1 20I!IZII I!!j)~(:;:-)~[I)(X)IE 11!!j)[I)(,)1
i!!jJ[I) (,)5 [I) lEI 20
9045
Lh IT(X + 1) =720=1rmm ~~(!H~II)(X)IEI<E>I<E>51E1 720ImII ~~(~-)~[I)(X)IE 11!!j)[I)(,)1
1m [IJ(.)5[I) lEI 720
h To convert rectangular coordinates (12, 12) to polar coordinateslEIrmm ImIE(Pol)~2<E>i!!jJ[I)(,)~2<E>[IJ1EI r=2,11=45I!IZII i!!jJIE (Pol)Gi)2 m IffiIm(,)Gi) 2 [I) m lEI r= 2
11=45Toconvertpolarcoordinates(12, 45°)to rectangularcoordinateslEIrmm ImEJ(Rec)~2<E>i!!jJm(,)45mlEl X=1,V=1
& (5 + 3) ! =40320 m 51E 3II) i!!jJ~(x!) lEI 40320
~ 12-7Ix2=10rmmI!IZII
IffiIffiW(Abs) 2 EJ 7 <E> (&) 2 lEI
i!!jJ ffiW(Abs)2EJ 7 [IJ (jg 2 lEI
1010
~ To obtain three random three-digit integers1000 I!!j)8 (Ranll)lEI 459
lEI 48lEI 117
(Results shown here are for illustrative purposes only. Actual results will differ.)
h To generate random integers in the range of 1 to 6I!!W8(Ranlnt) 11m [IJ(,)6 [I) lEI
lEIlEI
261
(Results shown here afe for illustrative purposes only. Actual results will differ.)
~ To determine the number 01penmutationsand combinationspossible when selecting four people from a group 0110
Penmutations: 10 I!!j)(jg(nPr)41E1Combinations: 10 I!!j)IE (nCr)4 lEI
5040210
& To perlonm the following calculations when Fix 3 is selected for fhenumber01displaydigits:10.;.3 x 3andRnd(10.;.3) x 3 ImII
1mI!2i!J(SETUP)!II(Fix)(II 10IE 3(&)3lEI 10.000IffiI@)(Rnd)10IE 3[IJ(&)3lEI 9.999
E-24I
I
~ Todetennine the greatest common divisor of 28 and 35
~ IKI(GCD)281!!i1 en(,)35m §To detennine the least common multiple of 9 and 15
~ IE(LCM)91!!i1 m(,) 15 m §
& To extract the integer part of -3.5
~ ~ (Int)ffjJ 3.5 m §
~ To detennine the largest integer that does not exceed -3.5
~EI(lntg)1B3.5en§ -4
,Complex Number Calculatie»ns TC-MPLXLJTo perform complex number calculations, first press I!!ID m (CMPLX)toenter the CMPLX Mode. You can use either rectangular coordinates (a+b,)or polar coordinates (rL8) to input complex numbers. Complex numbercalculation results are displayed in accordance with the complex numberfonnat selling on the setup menu.
/ (2 + 6') + (2') = 3 - i (Complex number fonnat: a + b,)m2~6(@(,)enlEm2ffijg)(,)en§ 3-i
/ 2 L 45= .f2 + .f2i ED_ (Complexnumberfonnat:a + b,)21!!i1 ffjJ(L)45§ v'2+v'2i
/ .f2 + .f2i =2 L 45ED_ (Complexnumber'onnat:rL8)~2@~GSJ2@~(')§ 2L45
Note: .If you are planning to perfonn input and display of the calculationresultinpolarcoordinatefonnat,specifytheangleunitbeforestartingthecalculation. .The () value of the calculation result is displayed in the rangeof -180. < () :; 180.. . Display of the calculation resultwhile Linear Displayis selected will show a and bi (or rand () on separate lines.
CMPLX Mode Calculation Examples
/ (1 - ,)-' =t+ti ED (Complexnumberfonnat:a + bi)m1EI(@(,)en~§
/ (1H)'+(1-')'=0 EDm 11E(@(')IIJ~~m1 EI(@(,)en~§
To obtain the conjugate complex number of 2 + 3i (Complex numberfonnat: a + b,)
I!!iIm (CMPLX)m (Conjg)2~ 3(!!g(')en§ 2-3i
/ To obtain the absolute value and argument of 1 + i ED_AbsoluteValue: I!!ilI!iI(Abs) 1~ (@(,)§ v'2Argument:I!!iI m(CMPLX)II) (arg)1~~(,)en § 45
E-25
7
Using a Command to Specify the Calculation ResultFormatEitherof twospecialcommands(~rL() or ~a+b,) can be input at the endof a calculation to specify the display fonnat of the calculation results. Thecommand overrides the calculato(s complex number fonnat selling.
/ .f2+.f2i=2L45, 2L45=.f2+.f2i ED_~ 2 @ ~ GSJ2@~(')1!!iI m(CMPLX)(!](~rL()§
21!!i11B1(L)451!!i1m(CMPLX)(!J(~a+b,)§
45
-32L45
v'2+v'2i
o
Using~L!L-__ _ _ _ ..CALC letsyou save calculationexpressionsthat containvariables,which youcan Ihen recall and execute in the COMP Mode (I!!ID II) andtheCMPLXMode(@IDm). The following describes the types of expressions you cansave with CALC..Expressions: 2X + 3Y, 2AX + 3BY + C, A + Bi. Multi-statements: X + Y : X (X + Y).Equalities with a single variable on the left and an expression including
variables on the right: A = B + C, Y = X' + X + 3(Use ~ @!£I(=)to input the equals sign of the equality.)
/ To store 3A + B and then substitute the following values to perfonnthe calculation: (A, B) = (5, 10), (7, 20)
3~ffjJ(A)~~E3(B)13A+EI m... \
~ · - 01IPrompts for input of a value for A Currant value of A
5§10§\3A+B 9 -:5\
I m 1
I
@!£I(or §) A? 5
7§20§ 13A+B II -:1\To exit CALC: €£I
E-26
I
To store A + Bi and then determine .f3 + i, 1 + .f3 i using polarcoordinates (r L9) 1m
f!2ID1IJ(CMPLX) I + _.. m~!BJ(A)(E~E3(B)~(/) A B. rl..fJ
I!!!IIIJ(CMPLX)III(~rL9) .
@!ID@3[D@1 @[
@!ID(or @)1 @11iJ3[D@[To exij CALC: tgj
Note: Duringthetimefromwhenyoupress@!IDuntilyouexitCALCbypressing tgj, you should use Linear Display input procedures for input.
...
21..301
21..601
~~~SOLVE uses Newton's Law to approximate the solution of equations. Notethat SOLVE can be used in the COMP Mode (@!!1)III)only.The following describes the types of equations whose solutions can beobtained using SOLVE.
.Equations that Include variable X: X' + 2X - 2, V = X + 5, X = sln(M), X+3=B+CSOLVE solves for X. An expression like X' + 2X - 2 is treated as X' + 2X-2 =0.
. Equations Input using the following syntax: (equation), (solutionvariable)SOLVE solves for V, for example, when an equation is input as: V = X + 5,V
Important: .If an equation contains input functions that include an openparenthesis (such as sin and log), do not omit the closing parenthesis..The following functions are not allowed inside of an equation: I, dJdx, :E,n, Pol, Rec, +R.
/ To solvey = a.x' +b for x when y = 0, a = 1, and b =-2
1!mi!I(§!g(Y)~@!ID(=)~!BJ(A)IY=AXZ+Bm ... I~[D(X)@)(E~E3(B)
"'~""'~ . -11Prompts for input of a value for Y Current value of Y
m M~th
0@1@!BJ2@,Solve for X
Current value of X
E-27
Input an initial value for X (Here, input 1):
m ~
1@1~~AXZi~414213562L-R= 0
To exit SOLVE: tgj
Note: During the time from when you press I!!!I@!ID(SOLVE) until you exitSOLVE by pressing tgj, you should use Linear Display input proceduresfor input.Important: .Depending on what you input for the initial value for X (solutionvariable), SOLVE may not be able to obtain solutions. If this happens, trychanging the inijial value so they are closer to the solution. .SOLVEmay notbe able to determine the correct solution, even when one exists. .SOLVEuses Newton's law, so even if there are mulliple solutions, only one of themwiil be returned. .Due to limitations in Newton's law, solutions tend to bedifficult to obtain for equations like the following: y = sin(x), y = c, y = rx.
Solution Screen Contents
Solutions are always displayed in decimal form.
Equation (The equation you input.)
Variable solved for Solution
(Left Side) - (Right Side) result
"(Left Side) - (Right Side) resull" shows the result when the right side of theequation is subtracted from the left side, after assigning the obtained valueto the variable being solved for. The closer this result is to zero, the higherthe accuracy of the solution.
Continue Screen
SOLVE performs convergence a preset number of times. If it cannot find asolution, it displays a confirmation screen that shows "Continue: [=)".askingif you want to continue.Press @ to continue or tgj to cancel the SOLVE operation.
/ Tosolvey=x'-x+ 1 forxwheny=3, 7, and 13m
~ (§!g(Y)~ @!ID(=)IY=XZ-X+11
IimiiI(D(X)@)ElIimiiI [D(X)(E 1
3@ ,Solve formXo
E-28
J
m
Inputan initialvaluefor X(Here, input1): 1§ I*~X2-X+1L-R=
Moth
No.
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 thetype of calculation you want to perform.
Pressing any of the above keys (II) to !II) displays the Stat Editor.
Note: When you want to change the calculation type after entering the STATMode, perform the key operation @!!I1I)(STAT/DIST)II)(Type) to displaythe calculation type selection screen.
Inputting Data
Use the Stat Editor to input data. Perform the following key operation todisplay the Stat Editor: @!iI1I)(STATIDIST)[IJ(Data).The Stat Editor provides 40 rows for data input when there is an X columnonly or when there are X and Ycolumns, 20 rows when there are Xand FREOcolumns, or 26 rows when there are X, Y, and FREO columns.
Note: Use the FREO (frequency) column to input the quantity (frequency) ofidentical data items. Display of the FREO column can be tumed on (displayed)or off (not displayed) using the Stat Format setting on the setup menu.
2o
L:t To select linear regression and input the following data:(170,66), (173, 68), (179, 75)
STAT m
~[I)(STAT)[IJ(A+BX) I !I I v I3o
o170§ 173§ 179§<i><E>
4o
66§68§75§
Important: .All data currently input in the Stat Editor is deleted wheneveryou exit the STAT Mode, switch behveen the single-variable and a paired-variable statistical calculation type, or change the Stat Format setting onthe setup menu. .The following operations are not supported by the StatEditor:1MtJ,@!jJIMtJ(M-),@@I(STO), Pol, Rec, +R, and multi-statementsalso cannot be input with the Stat Editor.
To change the data In a cell: In the Stat Editor, move the cursor to the cellthat contains the data you want to change, input the new data, and thenpress §.To delete a line: In the Stat Editor, move the cursor to the line that you wantto delete and then press @).To Insert a line: In the Stat Editor, move the cursor to the location whereyou want to insert the line and then perform the following key operation:@ II) (STAT/DIST)[I) (Edit)II) (Ins).To delete all Stat Editor contents: In the Stat Editor, perform the followingkey operation: @!!III) (STAT/DIST) [I) (Edit) [IJ (Del-A).
Obtaining Statistical Values from Input DataTo obtain statistical values, press @9 while in the Stat Editor and thenrecall the statistical variable (ax, rx', etc.) you want. Supported statisticalvariables and the keys you should press to recall them are shown below.For single-variable statistical calculations, the variables marked with anasterisk (') are available.
Sum: rx", rx', ty', ty,!:.!:y, tx", rx'y, rx'@!j)II) (STAT/DIST) [I) (Sum) II) to !IINumber of Items: n', Mean:x', y, Population Standard Deviation: ax',Oy,Sample Standard Deviation:$x', Sy@!!I1I)(STAT/DlST) (!J(Var) II) to m
Regression Coefficients: A, B, Correlation Coefficient: r, EstimatedValues: X,y@!!III) (STAT/DIST) [ID(Reg) II) to [ID
Regression Coefficients for Quadratic Regression: A, B, C, EstimatedValues: XI, Xz, Y@!!III)(STAT/DIST) [ID(Reg) II) to lID
.See the table at the beginning of this section olthe manual for the regressionformulas.
To select this type of statistical calculation:Press this key:(Regression formula shown in parentheses)
Single-variable (X) II) (1-VAR)
Paired-variable(X,V),linearregression (y =A + Bx) [IJ (A+BX)
Paired-variable (X, V), quadratic regression[I)L+CX')
(y=A +Bx + Cx")
Paired-variable (X, V), logarithmic regression(!J (In X)(y =A + Blnx)
Paired-variable (X, Y), e exponential regression[ID(eAX)(y=Ae"-')
Paired-variable (X, Y), ab exponential regressionlID (A'SAX)(y=AB-')
Paired-variable (X, V), power regression (y =Ax") ILl (A'XAB)
Paired-variable (X, Y), inverse regressionlID(1/X)(y =A + B/x)
..£,.£" .£, and yare not variables. They are commands of the type that takean argument immediately before them. See "Calculating Estimated Values.for more information.
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.)First Quartile: Qt, Median: med, Third Quartile: Q3
I!!iIII)(STAT/DIST) lID(MinMax) lID to (ID
(When the single-variable statistical calculation is selected.)
Note: While single-variable statistical calculation is selected, you can inputthe functions and commands for performing normal distribution calculationfrom the menu that appears when you perform the following key operation:@!!)II) (STAT/DIST) (ID(Distr). See "Performing Normal DistributionCalculations. for details.
h To input the single-variable data x = (t, 2, 2, 3, 3, 3, 4, 4, 5), usingthe FREQ column to specify the number of repeats for each items(Ix.; freq.) ={1;1, 2;2, 3;3, 4;2, 5;1)), and calculate the mean and
population standard deviation.
@!!)1i!ID(SETUP)<i>(!)(STAT)II)(ON)
@J1ID(STAT)II)(1-VAR)
1§)2§)3§)4§)5§)<i><E>
113213313213 _
1!9@!!) II)(STAT/DIST)(!){Var)rn{x)§) [1!9@!!) II) {STAT/DIST)(!){Var)lID (crx)13 [
STAt iii
~I' ~I~I
~L 1547005381
Results: Mean: 3 Population Standard Deviation: 1.154700538
~ To calculate the linear regression and logarithmic regressioncorrelation coefficients for the following paired-variable data anddetermine the regression formula for the strongest correlation: (x, y)= {20, 3150), (110, 7310), (200, 8800), (290, 9310). Specify Fix 3(three decimalplaces) for resulls.
@!!)~(SETUP)<i> (!){STAT) rn (OFF)
@!jJ1i!ID(SETUP)IID(Fix)1ID
@)1ID(STAT)rn(A+BX)
20 13 110 13 200 13 290 13 <i><E\
315013 7310 138800 13 931013 .@@!jJII)(STATIDIST)(ID(Reg)lID(r)§) [
1!91!!i11I)(STAT/DIST)II)(Type)(!)(ln X)
1!91!!i11I)(STAT/DIST)(ID(Reg)lID(r)§) [@1!!iI1I)(STAT/DIST)IID(Reg)II)(A)§) [
E-31
SfAT IiJ FIX
'I
Keaal
~BDa
l~ ... .iiII
0.9231
0.9981
-3857.9841
@Iffi II)(STATIDIST)(ID(Reg)rn (B)13 1 2357.5321
Results: Linear Regression Correlation Coefficient: 0.923logarithmic Regression Correlation Coefficient: 0.998logarithmic Regression Formula: y =-3857.984 + 2357.5321nx
j
Calculating Estimated ValuesBased on the regression formula obtained by paired-variable statisticalcalculation, the estimated value of y can be calculated for a given x-value.The corresponding x-value {two values, x. and x" in the case of quadraticregression) also can be calculated for a value of y in the regressionformula.
~ To determine the estimate value for y when x = 160 in theregression formula produced by logarithmic regression of the datain h. Specify Fix 3 for the result. (Perform the following operationafter completing the operations in h.)
@ 1601mII){STATIDIST)(ID(Reg)(IDlY)13 1 8106.8981
Result: 8106.898
Important: Regression coefficient, correlation coefficient, and estimatedvalue calculations can take considerable time when there are a large numberof data items.
Performing Normal Distribution CalculationsWhile single-variable statistical calculation is selected, you can performnormal distribution calculation using the functions shown below fromthe menu that appears when you perform the following key operation:@!!)II) (STAT/DIST)(ID{Distr).
P, Q, R: These functions take the argument t and determine a probability ofstandard normal distribution as illustrated below.
AJeAXo tOt 0 t
~t: This function is preceded by the argument X, and determines thenormalized variate X.t _X~i .
h For the singlevariabledata {x. ; fraq.}= (0;1, 1;2,2;1,3;2,4;2,5;2,6;3,7;4,9;2, 10;1), to determine the normalized variate (~r) when x= 3, and P(t) at that point up to three decimal places (Fix 3).
@!!)@)(SETUP)<i>(!)(STAT)II){ON)
@!!)@ii!)(SETUP)IID(Fix)IID@JlID(STAT)1I)(1-V AR)
013 113213313413513613713913 s;." F~~UfIX
10§)$<E\1 132131 13213213213313 Iyl lal~1413213113
E-32
STAt
@ 31m m(STAT/DIST)CID(Distr)(!)(~t)@ ,3.t
m AK
-0.762
STAt
I!i!iI m (STA T/DIST) CID (Distr) m(POI!i!I (II @ I P(Ans)
iii fiX
0.223Results:Normalized variate (~t): -0.762
P(t): 0.223
!"'"88!e;p~culaiibn~(84~EjitPress @ID@(BASE-N) to enter the BASE-N Mode when you want toperform calculations using decimal, hexadecimal, binary, and/or octalvalues. The initial default number mode when you enter the BASE-N Modeis decimal, which means input and calculation results use the decimalnumber format. Press one of the following keys to switch number modes:~(DEC) for decimal, @(HEX) for hexadecimal, (§](BIN) for binary, orI]!!)(OCT) for octal.
/ To enter the BASE-N Mode, switch to the binary mode, and
calculate112+ 12 II§!)@(BASE-N)
(§](BIN)
~Bin
0000000000000000
Bin111%)1@ 10000000000000100
Continuing from above, switch to the hexadecimal mode and
calculate IF..+ I.. I I@@(HEX) 1 I§) (F)I%)1 @ 00000~~6
Continuing fr9m above, switch to the octal mode and calculate78+ 18
@1]!!)(OCT)71%)1 @ [
Oct00000000010
Note: .Use the following keys to input the letters A through F for hexadecimal
values: 8(A), 8(B), ffiii)(C),@(D), §J(E), G!i!)(F). .In the BASE-NMode, input of fractional (decimal) values and exponents is not supported. Ifa calculation result has a fractional part, it is cut off. .The input and oulputranges is 16 bits for binary values, and 32 bits for other types of values. Thefollowing shows details about input and output ranges.
Base-n Mode Input/Output Ranges
Positive: 0000000000000000 ~ x ~ 0111111111111111
Negative: 1000000000000000 :a x ~ 1111111111111111Binary
E-33
Octal Positive: 00000000000 ~ x ~ 17777777777
Negative: 20000000000 :; x ::; 37777777777
-2147483648:ii x::; 2147483647
Positive: 00000000 ~ x ~ 7FFFFFFF
Negative: 80000000 :; x :5FFFFFFFF
Decimal
Hexadecimal
Specifying the Number Mode of a Particular InputValueYou can input a special command immediately following a value to specifythe number mode of that value. The special commands are: d (decimal), h(hexadecimal), b (binary), and 0 (octal).
/ To calculate 10.. + 10,6+ 10H 10. and display the result as a decimalvalue
@I£J(DEC) ImIID(BASE)~m(d)10 I%)m IID(BASE)~ rn(h) 10 I%)
@!!)IID(BASE)~ lID (b) 10 I%)
@!!)IID(BASE)~ @(o) 10 @ 36
Converting a Calculation Result to another Type ofValueYou can use anyone of the following key operations to convert the currentlydisplayed calculation result to another type of value: ~(DEC) (decimal),@(HEX) (hexadecimal), (§](BIN) (binary), I]!!)(OCT)(octal).
/ To calculate 1510x 37,0 in the decimal mode, and then converttheresultto hexadecimal,binary,andoctal
@1£J(DEC)15~37@ 555@(HEX) 00000228(§](BIN) 0000001000101011
I]!!)(OCT) 00000001053
Logical and Negation OperationsYour calculator provides you with logical operators (and, or, xor, xnor) andfunctions (Not, Neg) for logical and negation operations on binary values.
. Use the menu that appears when you press m lID(BASE)to inputtheselogical operators and functions.
All of the following examples are perfonned in the binary mode (~(BIN)).
/ To detennine the logical AND of 1010, and 1100, (1010, and 1100,)@ 1010@!jJlID(BASE)m(and) 1100@ 0000000000001000
/ Todeterminethe logical OR of 10112 and 110102(101hor 11010,)@10111!i!!11ID(BASE)rn(or)11010@ 0000000000011011
E-34J
/ 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
Note: In the case of a negative binary, octal or hexadecimal value, thecalculator converts the value to binary, takes the two's complement, andthen converts back to the original number base, For decimal (base-I 0)values, the calculator merely adds a minus sign,
ll::i!!a,~'~~c!lJatio]s 1I(Qil,<.. =--You can use the following procedure inthe EON Mode to solve simultaneouslinear equations with two or three unknowns, quadratic equations, and cubicequations.
1. Press Ii@ II) (EON) to enter the EON Mode.2. On the menu that appears, select an equation type.
To select this calculation type: Press this key:
Simultaneous linear equations with two lIJ(a,X + b,y = c,)unknownsSimultaneous linear equations withthree unknowns
Ouadratic equation
Cubic equation
rn(a,X + b,y + c..z = d,)
@](aX'+bX+c=O)
@)(aX'+bX'+cX+d=O)
3. Use the Coefficient Editor that appears to input coefficient values."To solve 2x"+x-3 = 0, lor example, press @] in step 2, and then input
the following for the coefficients (a = 2, b = I, C = -3): 21E111E11B3 lEI
"To change a cO,efficientvalue you already have input, move the cursorto the appropriate cell, input the new value, and then press lEI.
" Pressing @ will clear all of the coefficients to zero.Important: The following operations are not supported by the CoefficientEditor. 1MB,@!iI1MB(M-),IID@!!I(STO). Pol, Rec,+R, andmulti-statementsalso cannot be input with the Coefficient Editor.
4. After all the values are the way you want, press lEI." This will display a solution. Each press 01 lEI will display another
solution. Pressing lEI while the linal solution is displayed will retum tothe Coefficient Editor.
"You can scroll between the solutions using the ~ and@ keys." To retum to the Coefficient Editor while any solution is displayed, press
@.Note: "Even il Natural Display is selected, the solutions of simultaneouslinear equations are not displayed using any form that includes r."Values cannot be converted to engineeringnotation on the solution screen.
E-35
" A message appears to let you know when there is no solution or whenthere are infinite solutions. Pressing @ or lEI will retum to the CoefficientEditor.
Changing the Current Equation Type SettingPress 1i@!II(EON) and then select an equation type from the menu thatappears. Changing the equation type causes the values of all CoefficientEditor coefficients to change to zero.
EaN Mode Calculation Examples
/ 2x"-3x-6=0 rmm
I!!ffiII)(EON)@](aX' + bX + c = 0)2 IEIIB 31E11B 6 lEI lEI (X,=) 3 +{ff
(X,=) 3 -{ff3
"4
~ (V-ValueMinimum=)- _ 5:.The local minimumvalue is displayedwhen a > O.The local maximumvalue
is displayed when a < O.
(X-Value Minimum=)"
/ x'-2v'2x+2=0 rmmI!Q!!)!II(EON)@](aX'+bX + c = 0)
11E11B2~2rn1El21E11E1 (X=) V2
E-36
J
/ x+ 2y=3, 2x+ 3y=41i@!II(EON)IIJ(a.X + b,y = c,) m Mo.
1 lEI 2 lEI 3 lEI [ . J2 lEI 3 lEI 4 lEI 4
lEI (X=) -1(V=) 2
/ x- y+ Z=2, x + y-z = O,-x+ y+z =41!Q!!)!II(EON)rn(a,X + boY+ c..z = d,)
1 IEIIB 1 lEI 1 lEI 2 lEI m ...1 lEI 1 IEIIB 1 IEIO lEI
c 4
'I -, , 212 , -1-'IBI lEI1lEI1lEI4lEI . ,4
lEI (X=) 1(V=) 2(Z=) 3
/ x"-2r-x+2=0(!i!!J (ID(EON) I!J (aX' + bX" + eX + d =0)
1EJIE)2EJIE)1EJ2EJEJ~~
(X,=) -1(X>=) 2(X,:) 1
r MatrixCaICulationsjH~TRI~L ..: :1Use the MATRIXMode to perform calculations involving matrices of up to 3rows by 3 columns. To perform a matrix calculation, you first assign data tospecial matrix variables (MalA, MatB, Mate), and then use the variables inthe calculation as shown in the example below.
h Toassign[~ :]toMalAand[_; -~]toMatB,andthenperform
the following calculations: [2 1]x [2 -1](MalAxMatB),1 1 -1 2
[2 1]+ [2 -1](MalA+MatB)1 1 -1 2
1. Press ~ [!) (MATRIX) to enter the MATRIX Mode.
2. Press [D (MalA) rn (2x2)..This will display the Matrix Ednor for input
of the elements of the 2 x 2 matrix youspecified for MatA.
0]
3. Input the elements of MalA: 2 EJ 1 EJ 1 EJ 1 EJ.
4. Perform the following key operation: I!!!II!J (MATRIX) (II (Data)(II (MatB)rn(2x2)..This will display the Matrix Editor for input of the elements of the 2 x 2
matrix you specified for MatB.5. Input the elements of MatB: 2 EJ 1BJ1 EJ 1BJ1 EJ 2 EJ.6. Press @ to advance to the calculation screen, and perform the first
calculation (MatAxMatB): I!iiiII!J (MATRIX)!IJ (MalA) I2D I!!!II!J(MA TRIX)
I!J (MatB) EJ..This will display1he MalAns screen with the calculation results.
'..Ii;;;;;;;;;;;:MAlmD i "Ans" S~ndS tor
~ 1-; I] "MalAns.01 3
MAIm
MatAxMatll
Note: "MalAns" stands for "Matrix Answer Memory". See "Matrix AnswerMemory" for more information.
7. Perform the next calculation (MatA+MatB): @ I!!!I !II (MATRIX)!IJ (MalA) IE I!!!II!J (MATRIX) !II (MatB) EJ.
MATm
MatA+MatEl
4
MATm..1-,
~I 1-0o
E-37
MatrixAnswer MemoryWhenever the result of a calculation executed in the MATRIX Mode is amatrix, the MalAns screen will appear with the result. The resull also will beassigned to a variable named "MalAns".
The MatAns variable can be used in calculations as described below..To insert the MalAns variable into a calculation, perform the followingkey operation: I!!!II!J(MATRIX)[!)(MalAns)..Pressing anyone of the following keys while the MatAns screen isdisplayed willswitch automatically to the calculation screen: IE, EJ, IXJ,~,~,I£I, 1!!!I~(x"). The calculation screen will show the MalAnsvariable followed by the operator or function for the key you preSSed.
Assigning and Editing Matrix Variable DataImportant: The following operations are not supported by the Matrix Editor.1M3,I!!!J1M3(M-), I!!!I §(STO). Pol, Rec, +R, and multi-statements alsocannot be input with the Matrix Editor.To assign new data to a matrix variable:
1. Press I!!!I!II (MATRIX)CD(Din), and then, on the menu that appears,select the matrix variable to which you want to assign data.
2. On tha next menu that appears, select dimension (mxn).3. Use the Matrix Editor that appears to input the elements of the matrix.
o
To assign [1 0 -1]to MaIC0-1 1
l!!jJ I!J(MATRIX)I
eCD(Dim)!IJ(MatC) 1!J(2x3) [
1 EJOEJIEI1 EJO§)IE) 1 EJ1 EJ-Y 1IIIi\]
MATm
ID
To edit the elements of a matrix variable:
1. Press I!!!II!J(MATRIX)(II(Data), and then, on the menu that appears,select the matrix variable you want to edit.
2. Use the Matrix Editor that appears to edit the elements of the matrix..Move the cursor to the cell that contains the element you want to change,input the new value, and then press EJ.
To copy matrix variable (or MalAns) contenta:
1. Use the Matrix Editor to display the matrix you want to copy..If you want to copy MatA, for example, perform the following keyoperation: I!!!II!J(MATRIX)(II(Data)[D(MalA)..If you want to copy MalAns contents, perform the following to display theMalAns screen: @ I!!!II!J (MATRfX) [!) (MalAns) EJ.
2. Press I!!!I ~(STO), and then perform one olthe following key operationsto specify the copy destination: IE)(MalA), G(MatB), or I!i)(MatC).. This will display the Matrix Editor with the contents of the copy
destination.
Matrix Calculation Examples.
[2 ,] [2 -1] A.The following examples use MalA = 1 1 and MatB = -1 2 from £..1,
and MatC = [6 _~ -:] from~. You can input a matrix variable into a key
operation by pressing I!!!II!J (MATRIX)and then pressing one of the
followingnumberkeys: !IJ(MalA),I!J(MatB), (ID(MaIC). 1
E~ I
h. 3x MatA (Matrix scalar multiplication). ..1-,@3!IDMatA(5)l-3
---..-
h Obtain the determinant of MatA (det(MatA)).
@ ~ (!)(MATRIX) ILl (det) MatA I]) (5)
L3. Obtain the transposition of MatC (Tm(MatC)).
@~(!)(MATRIX)IID(Tm) MatCI]) (5) ..~I -Y
6 Obtain the inverse matrix of MatA (MatA").
Note: You cannot use ~ for this input. Use the Ia;)key to input "-'''...~@MatAIa;)I5)l~i
L:z. Obtain the absolute value of each element of MatB (Abs(MatB))...1-@l!§)ffiiiI(Abs)MatBI]) (5) l-j
h Determine the square and cube of MatA (MatA'. MatA').
Note: You cannot use ~ for this input. Use ~ to specify squaring. and@!j)~ (x3)tospecifycubing.
@MatA~ (5)
@MatA@!j)~(x3) (5)
h Determine the MatA=[~ ~ ~]row echelon form.789
..
f-i@@!j)(!)(MATRIX)~CD(Ret)MatAml5) 0 1.1~2'l.m~1o 0 0
[1 2 3
]& Determine the MatA= 4 5 6 reduced row echelon form.. 7 8 9 "
..f-1@@!j)(!)(MATRIX)~m(Rref)MatAml5) I a
fCreating*7N nberTabiifrorn "Two': F'ijnct.ion..!JTAB~ _ ___TABLE generates a number table based on one or two functions. You canuse the function.f(x) orthe two functions.f(x) and g(x). See "Configuring theCalculator Setup" for more information.Perform the foilowing steps to generate a number table.
1.Press I!@ILI(TABLE) to enter the TABLE Mode.2. Use the X variable to input two functions. one in the format .f(x) and the
other in the format g(x).E-39
.Be sure to input the X variable (!!!HIDI]) (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 fhe format.f(x)only..The foilowing cannot be used in the function: Pol, Rec.l. d/dx. ~. II
-jJ
&]
~]
~]
For this prompt: Input this:
Start? Inputthe lower limit of X (Default =1).End? Inputthe upper limit of X (Default = 5).
Note: Makesure that the End value is alwaysgreater than the Startvalue.
Step? Input the increment step (Default =1).Note: The Step specifies by how much the Startvalue should be sequentiaily incremented as thenumber table is generated. If you specify Start = 1and Step = 1, X sequentiaily willbe assigned thevalues 1. 2. 3. 4. and so on to generate the numbertable until the End value is reached..Inputting the Step value and pressing (5) generates and displays the
number table in accordance with the parameters you specified..Pressing @ while the number table screen is displayed wiil return tothe function input screen in step 2." To generate a number table for the functions f(x) = xl + + and
g(x) = x3 - + for the range -1 :;; x;;; 1, incremented in steps of 0.5mmI
ILI(TABLE)I f(X)=!
e M..
I
@!j)@!i!)(SETUP) lID(TABLE)m(f(x),g(x)) e M..
!!!HID1])(X)(i) t 2 f(X)=X2+
(5) 19(X)=!
e M..
I
.Pressing (5) without inputting anything for g(x) wiil generate a number
table based on .f(x)only.e M..
!!!HID1])(X)13 t 2 9(X)=X2_
''-1 F(W)I G7 I(5)lEI1(5) 1(5)0.515) 1 1.5 0.52 -D.' 0.'5 -0.25
a a D.5 -0.5-1
setting, while 20 rows are supported for the "f(x).g(x)" setting. "You canuse the number table screen for viewing values only. Table contents cannotbe ed~ed. "The number table generation operation causes the contents ofvariable X to be changed.Important: The function you input for number table generation is deletedwhenever you displaythesetupmenu in theTABLE Modeandsw~chbetweenNatural Display and Linear Display.
~t!i'-q1ilii~ik)iiil¥J'"iT!!RL_ ~i"-]Use the VECTOR Mode to perform 2-dimensional and 3-dimensional vectorcalculations. To perform a vector calculation. you first assign data to specialvector variables (VctA. VctB. VctC). and then use the variables in thecalculation as shown in the example below.
h To assign (1. 2) to VctA and (3. 4) to VctB. and then perform thefollowing calculation: (1. 2) + (3. 4)
1.Press @!!)III (VECTOR) to enter the VECTOR Mode.2. Press (I)(VctA)!I)(2).
" This will display the Vector Editor for inputof the 2-dimensioflal vector for VctA. E
vere
R_ DI
-A"stands for "VetA".
3. Input the elements of VctA: 1 1512151.4. Perform the following key operation: @ III (VECTOR) m (Data)
m(VctB)m(2)." This will display the Vector Editor for input of the 2-dimensional vector
for VetB.5. Input the elements of VctB: 31514151.6. Press @ to advance to the calculation screen. and perform the calculation
(VctA + VctB): @ III (VECTOR) [ID (VctA) IE I!!iIIII (VECTOR)(!J (VctB)151." This will display the VctAns screen with the calculation results.
vere I V~e I
VctA+VctEl ..~ 1-AnS- stands for
-7 - 6 "VetAns".o 4
Note: "VetAns" stands for "Vector Answer Memory". See "Vector AnswerMemory" for more information.
Vector Answer Memory .Whenever the result of a calculation executed in the VECTOR Mode is avector. the VctAns screen will appear w~h the result. The result also will beassigned to a variable named "VctAns".
The VctAns variable can be used in calculations as described below." To insert the VctAns variable into a calculation. perform the following key
operation: I!!iIIII(VECTOR) III (VctAns)." Pressinganyone of the followingkeys while the VctAnsscreen is displayed
will switch automatically to the calculation screen: IE. 13. IX). 1:). Thecalculation screen will show the VctAns variable followed by the operatorfor the key you pressed. E-41
Assigning and Editing Vector Variable DataImportant: The following operations are not supported by the Vector Editor:1iID. I!!ilIiID(M-). I!!iI ~(STO). Pol. Rec. +R. and multi-statements alsocannot be input with the Vector Editor.To assign new data to a vector variable:1.Press I!!iIIII (VECTOR)(I) (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. select dimension (m).3. Use the Vector Editor that appears to input the elements of the vector.
1!!1. To assign (2. -1,2) to VctC
I!!iIIII(VECTOR)(I)(Dim)[ID(VctC)(I)(3) Ie [
21518 1 1512151
To edit the elements of a vector variable:
1.Press I!!iIIII (VECTOR)m (Data), and then. on the menu that appears.select the vector variable you want to edit.
2. Use the Vector Ed~or that appears to ed~ the elements of the vector." Move the cursorto the cell that contains the elementyou want to change.
input the new value. and then press 151.To copy vector variable (or VctAns) contents:1.Use the Vector Ed~or to display the vector you want to copy.
" If you want to copyVetA, forexample,performthe followingkeyoperation:I!!iIIII(VECTOR) m (Data)(I) (VctA).
" If you want to copy VctAns contents. perform the following to display theVctAns screen: @1!!iI1II(VECTOR)III(VctAns)l5I.
2. Press I!!ilIi!!!I(STO). and then perform one ofthe following key operationsto specify the copy destination: 8(VctA). B(VctB). or ffij(VctC)."This will display the Vector Editor with the contents of the copy
destination.
Vector Calculation ExamplesThefollowingexamplesuse VetA= (1.2) andVctB= (3.4) from6. andVctC =
(2. -1. 2) from h. You can input a vector variable into a key operation bypressing I!!iIIII(VECTOR) and then pressing one of the following numberkeys: [ID(VetA). (!J(VctB), III(VctC).
h 3 x VetA (Vector scalar multiplication). 3 x VetA - VetB (CalculationexampleusingVctAns)
@3lX)VctAl5I[..~
EIVctBIi)[...,
vere61
vere
~I
E-42
~ VctA. VctB (Vector dot product)VCTm
@VctAt!!!I ([J(VECTOR)IL)(Dot)VctB@ I VetA'VetB
h VctA x VctB (Vector cross product)
@VctAOOVctB@I.......
Obtain the absolute values of VctC.VCTm
@t!!!I ffiii)(Abs)VctCQ) @ I Abs(VetC)
h. Determine the angle formed by VctA and VctB to three decimalplaces (Fix 3). lEI
(A.B) . . (A.B)
(cos 6 =IAIIBI ,which becomes 6 =cos- IAIIBI)
1!!1!I@2ffi(SETUP)[ID(Fix)!I)
@mVctA@ij)([J(VECTOR)IL)(Dot)VctBIJ)IEVCTm fIX
m t!!!I ffiii)(Abs)VctAIJ) @iiJffiii)(Abs)
I
(VetA' VctB)..(Ab~
VctBIJ)Q)@ 0.984
YCTm nx
@iiJ l§j(cos")1!;) IJ) @ I cos-I(Ans)
10.305
~gu~liiyC!lc..u!at1O"n$(i)lI!Qf ..... 2~You can use the following procedure to solve a quadratic inequality or cubicinequality.
,. Press @2ffi<i)CD(INEQ)to enter the INEQ Mode.2. Onthe menu that appears, select an inequalitytype.
To select this Inequality type: Press this key:
Quadraticinequality m (aX'+bX+c )Cubicinequality m (aX' + bX' +cX+ d )
3. Onthe menuthat appears, use keys CDthroughI1Jtoselectthe inequalitysymboltype and orientation.
4. Use the CoefficientEdrtorthat appears to inputcoefficientvalues..To solve x' + 2x - 3 < 0, for example, input the coefficients a = I, b = 2,
c =-3 bypressing1@2 @!El3@.
E-43
.To change a coefficient value you already have input, move the cursorto the appropriate cell, input the new value, and then press @..Pressing @ will clear all of the coefficients to zero.
Note: The followingoperations are not supported by the Coefficient Editor:!iE), t!!!IlMB(M-),I!!1!II§)(STO). Pol, Rec, +R, and multi.statements alsocannot be input with the Coefficient Editor.
5. After all the values are the way you want, press @..This will display the solutions..To return to the Coefficient Editor while the solutions are displayed, press
@.Note: Valuescannot be convertedto engineeringnotationon the solutionscreen.
Changing the Inequality TypePress @2ffi<i)CD(INEQ) and Ihen select an inequality type from the menuthatappears.Changingthe inequalitytype causesthe values of allCoefficientEditor coefficients to change to zero.
INEQ Mode Calculation Examples
/ x'+2x-3<0 rmm1
1: aX2 +bX+C >°
@!ID<i)CD(INEQ)CD(aX'+ bX + c) 2:aX2+bX+c<O3:aX2+bX+c;'O4: aX2+bX+C=0
m(aX' + bX+c <0)
m NItti~ b. cUI
aX2+bX+c<Oo
m ...
I · I b .~)aX2+bX+c<O
-3m
@ .A<X<B-3<X<1
Note: Solutions are displayed as shownhere when Linear Display is selected.
-31
/ x'+2x-3;;; 0 rmm@2ffi<i)CD(INEQ)CD(aX'+bX+c)
!I) (aX' + bX + c ;: 0)
1 @2@!El3@
m ...
I' I b ~)aX2+&X+C~O
-3m Math
X~-3. HX
'E-44
/ 2.<'-3x2 e; 0 rmm@!i!)~ (])(INEQ)CIJ(aX'+ bX' +cX+ d)
!I) (aX'+ bX' +cX +d e; 0)21EJ831EJ
m ...I · 2 b -3 IIIIiIr.aX3+t.X2+cX+d~0
o
X=A.B~X
IEJI X=O,~~X
/ 3x>+3x2-x>0 Em@!i!)~(])(INEQ)CIJ(aX'+ bX' +cX+d)
(])(aX'+ bX' +cX+ d > 0)31EJ31EJ811EJ
Note: Solutions are displayed as shownhere when Linear Display is selected.
ID Math
I b 3 c _I '-"1aX3+bX2+cX+d>0
o
mA<X<B,C<XA= -1.263762616B= 0C= 0.2637626156
Special Solution Display."All Real Numbers" appears on the solution screen when the solution of an
inequality is all numbers.
x2 i: 0 rmm@!i!)~ (]) (INEQ) (]) (aX' + bX + c)
!I) (aX' + bX + c e; 0)
1 IEJ 0 IEJ 0 IEJ IEJ
Ii) Malll
All Real Numbers
."No-Solution" appears on the solution screen when no solution exists for
an inequality (such as X' < 0).
rU~VERfFY iVEfill:'l~c_~."--VERIFY is a function you can use to verify whether an input equality orinequality is true (indicated by TRUE) or false (indicated by FALSE). Thefollowing shows the general procedure for using VERIFY.
/ To verify whether 4V9 =12 is true rmm
1. Press @!!I~ CIJ(VERIF) to enter the VERIFY Mode.
E-45
ID Malll
TRUE/FALSE
2. Input 4V9 = 12.
4GSJ9 <E>l!i!!IlII (VERIFY) (]) (=)12
. You can select the equality symbol orinequality symbol from the menu thatappears when you press l!i!!IlII(VERIFY).
3. To verify, press IEJ.IiJ M.th.
4./9=12
TRUE
You can input the following expressions for verification in the VERIFYMode..Equalities or inequalities that include one relational operator 4 = m,4 '" 3, " > 3, 1 + 2 :;; 5, (3 x 6) < (2 + 6) x 2, etc..Equalities or inequalities that include multiple relational operators 1 ;; 1 <1 + 1, 3 < " < 4, 2' =2 + 2 =4, 2 + 2 =4 < 6, 2 + 3 = 5 '" 2 + 5 = 8, etc.
Note: . The verification result will cause 1 to be assigned to Ans memorywhen TRUE and 0 when FALSE. .The input expression can be a total of99 bytes, including the lelt side, right side, and relational operators. . Any
variable (A, B, C, D, E, F, X, Y, M) input into an expression is treated as avalue, using the value currently assigned to the variable. .+R, Pol and Recfunctions cannot be used in an expression.
In the VERIFY Mode, the calculator performs a mathematical operationon the input expression and then displays TRUE or FALSE based on theresult. Because of this, calculation error can occur or a mathematicallycorrect result may not be able to be displayed when the input calculationexpression includes calculation that approaches the singular point orinflection point of a function, or when the input expression contains multiplecalculation operations.
Expression Input PrecautionsThe followingtypes of expressions cause a Syntax ERROR and cannotbe verified..An expression with nothing on the left side or right side (Example: = 5..f'f).An expression in which a relational operator is inside of a fraction or function
(Example: 1 = 1, cos (8 ;a 9»2.Anexpression in whicha relationaloperator is enclosed in parentheses
(Example:8 < (9 < 10».An expression in which multiple relational operators that are not orientedin the same direction (Example: 5 ;a 6 e; 4).An expression that contains two of the following operators in any combination
(Example: 4 < 6 '" 8). An expression that contains consecutive relational operators
(Example: 5 e; > 9)
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VERIFYMode Calculation Examples" Toverifylog2 < log3 < log4§2ml!i!j)[ID (VERIFY)@ «)§ 31I11!i!!1[ID(VERIFY)@«)
~4II1§)[ TRUEI
" Toverifyo«t)'-t rmmo I!!!J [ID (VERIFY) @ «)
8(ji)9<E>@lE!8(ji)9§) [ FALSEI
" To verify 52 =25 =>'625 rmm5@11!i!!1[ID (VERIFY) m (=)
251!i!!1[ID (VERIFY) m (=) ~ 625 151[ TRUEI
~Diitrja!ttPonca[q~ationi~'.$'Ill.-~JYoucan use the proceduresbelowto performsevendifferenttypesofdistribution calculations.
1. Press @!i!)<i>IID(DIST)to enter the DIST Mode.
2. On the menu that appears, select a distribution calculation type.
3. Input values for the variables..With Binomial PO, Binomial CD, Poisson PO, and Poisson CD, you can
input sample data and then perfonn calculations.4. After inputting values for all of the variables, press 151.
.This displays the calculation results..Pressing 151 or @ while a calculation result is displayed will retum tothe input screen of the first variable
Note: .To change the distribution calculation type after you enter the DISTMode, press I!i!!Im(STAT/DIST)m(Type) and then select the distributiontype you want. .Distribution calculation accuracy is up to five significantdig~s.
E-47
Variables that Accept InputThe following are distribution calculation variablesthat accept inputvalues.Nonnal PO x, a, pNormal CO Lower, Upper, a, pInverseNonnal Area, a, p (Tailsettingalwaysleft.)Binomial PO, Binomial CO... x (or List), N, pPoisson PO, Poisson CD x (or List), px: data, a: standard deviation (a > O),p: mean, Lower. lower boundary, Upper.upper boundary, Tail: probability value tail specification, Area: probabilityvalue (0 ;a Area ;a 1), List: sample data list, N: number of trials, p: successprobability (0 :; p ;a 1)
List Screen (Binomial PD, Binomial CD, Poisson PD,Poisson CD)With Binomial PO, Binomial CD, Poisson PO,and Poisson CD, use the ListScreen forsampledata input.Youcan inputup to25 data samples foreachvariable. Calculation results are also displayedon the List Screen.
Distribution calculation type
Value at current cursor positionI I
X:Sample data Ans:Calculation results
To edit sample data: Move the cursor to the cell that contains the sampledata you want to edit, input the new sample data, and then press 151.To delete sample data: Move the cursor to the sample data you want todelete and then press i!ID.To insert sampfe data: Move the cursor to the position where you want toinsert the sample data, press I!!!J m (ST A T/DIST) m (Edit)m (Ins), andthen input the sample data.To delete all sample data: Press @!!JmiST AT/DIST)m (Edit)m (Del-A).
DIST Mode Calculation Examples
To calculate the nonnal probabil~y dens~ when x=36, a=2, p=35
~<i>IID(DIST) I ~;~~~~~t ~g3: Inverse Normal4:BinomialPD
Ne
m(Nonnal PO)' ormal PD:x?o
36151e
Normal PD:cr?
2151
eNormal PD:J.\?
o
E-48
To select this type of calculation: Press thfs key:
Nonnal probability density m(Nonnal PO)
Nonnal cumulative distribution rn(Nonnal CD)
Inverse normal cumulative distribution lID(Inverse Nonnal)
Binomial probability @(Binomial PO)
Binomial cumulative distribution <i> m(Binomial CD)
Poisson probability <i>m(Poisson PO)
Poisson cumulative distribution <i> lID(Poisson CD)
35@p=
0.1760326634
Result: 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 2tVar
I!2ID ~ III (DIST)t!I (Binomial PO)
Display the List Screen: (])(List) I ~I~I.'~ IBlOC!
.To specify data using parameter format, press rn(Var). "il.JuI.'S I BlOC!10@11@12@13@14@
B. "
@' lnomial PD:N?
B. "
15@' lnomial PD:p?
0.6@
"'
1
_I
Q~?~s'
l
BlOC!
2 II 0.12&'1:I Ii! a.D&33
10
"~
Ix 1~
I
D~B~33
1
BlOC!
5 I"~
Results: x = binomial probability of 10 0.18594x = binomial probability of 11 0.12678x = binomial probability of 12 0.063388x = binomial probability of 13 0.021942x = binomial probability of 14 4.7018 x 10-3.Pressing @ retums to the N input screen. Pressing @ retums to the List
Screen (input data samples are stored).
Note .The following cannot be used in the distribution calculations:Pol, Rec, +R, J. d/dx. .When data is specified using parameter tormat,calculation resulls are stored in Ans memory. .An error message appearsif the input value is outside the allowable range. "ERROR" will appear in the
E-49
Ans column of the List Screen when the value input for the correspondingsample data is outside the allowable range.
.1Jj;i~t~fiij:1i..!U$ =",::""..2:=C1' .-1Your calculator comes with 40 built-in scientific constants that can be used inany mode besides BASE-N. Each scientific constant is displayed as a uniquesymbol (such as tt), which can be used inside of calculations.To input a scientific constant into a calculation, press lID IZ)(CONST)andthen input the two-digit number that corresponds to the constant you want."To input the scientific constant Co(speed of light in a vacuum), and
display its value
@IIDIZ)(CONST)CONSTANTNumber 01--40?
L_]m Malll..
rnf1)(Co)@ ,CO
299792458
1"To calculate Co= {£;ii'. Emm MllftA
o
@~ 1~~IIDIZ)(CONST)lIIrn(€o)1
~~~"olIDIZ)(CONST)III III(,uo)@ 299792458
The following shows the two-digit numbers for each of the scientificconstants.
o
E.50
01: (mp) proton mass 02; (mn) neutron mass
03; (me) electron mass 04; (mp) muon mass
05: (ao)Bohr radius 06: (h) Planck constant
07: (,uN)nuclear magneton 08: (,uB) Bohr magneton
09; (tl) Planck constant,10; (ex)fine-structure constantrationalized
11: (re) classical electron radius 12; (Ac)Compton wavelength
13: (w) proton gyromagnetic ratio14: (Acp)prolon Compton
wavelength
15: (Acn) neutron Compton16; (R) Rydberg constantwavelength
17: (u) atomic mass constant 18; (,up)proton magneticmoment
19: (,ue)electron magnetic moment 20: (,un)neutron magneticmoment
21; (,up) muon magnetic moment 22; (F) Faraday constant
The values are based on CODATA (2010) recommended values.
~e.!l'ic convetsion:--__ _ ---The calculator's built-in metric conversion commands make fi simple toconvert values from one unit to another. You can use the metric conversioncommands in any calculation mode except for BASE-N and TABLE.To input a metric conversion command into a calculation, pressI!!!I(iJ (CONV)and then input the two-digfi number that corresponds tothe command you want.
To convert 5 em into inches _CONVERSION
@5@(iJ(CONV) INumber 01~40?[__J
"
@)(I)(cm~in)§] ,5cmHn1.968503937
/ To convert 100 9 into ounces _ 8
@ 1001!!!J(iJ(CONV)(I)(I)(9~oz)§] 11009~OZ3.527396584
/ To convert -31.C into Fahrenheit -@1BI311!!!J(iJ(CONV)IID(iJ(.C~.F)§] 1-31°C~OF m
E-51
The following shows the two-digfi numbersfor each of the metric conversioncommands.
Conversion formula data is based on the .NIST Special Publication 811(1995)..Note: The J~cal command performsconversion for values at a temperatureof 15.C.
Calculation Ranges, Number of Digits,~and P~cision _ !
The calculation range, number of digfis used for internal calculation, andcalculation precision depend on the type of calculation you are performing.
Calculation Range and Precision
Function Calculation Input Ranges and Precision
-23.8
E-52
23: (e) elementary charge 24: (NA) Avogadro constant
25: (k) Boltzmann constant26: (Vm) molar volume of ideal
gas (273.15K, l00kPa)
27: (R) molar gas constant 28: (Co)speed of light in vacuum
29: (C,) first radiation constant30: (C,) second radiation
constant
31: (0) Stefan-Boltzmann constant 32: (eo)electric constant
33: (po) magnetic constant 34: () magnetic flux quantum
35: (g) standard acceleration of 36: (Go)conductance quantumgravity
37: (20)characteristic impedance of 38: (t) Celsius temperaturevacuum
39: (G) Newtonian constant of 40: (atm) standard atmospheregravitation
01: incm 02: cmin 03:ftm 04:mft
05: ydm 06:myd 07: mile km 08: km mile
09: n milem 10: mn mile 11: acrem' 12: m'acre
13: gal (US) I 14: I gal (US) 15: gal (UK) I 16: I gal (UK)
17: pckm 18: kmpc 19: krn/h mls 20: mls kmlh
21: ozg 22: goz 23: Ibkg 24: kglb25: atm Pa 26: Paatm 27: mmHgPa 28: Pa mmHg
29: hpkW 30: kWhp 31: kgf/cm' Pa 32: Pa kgf/cm'
33: kg!. mJ 34: Jkgf. m 35: Ibflin' kPa 36: kPa Ibflin'
37: .FOC 38: .C.F 39: J cal 40: calJ
Calculation Range :1:1x lo-"'to:l:9.999999999 x 10" orO
Number of Digits for Internal15 digitsCalculation
Precision In general,:l:1 at the 10thdigit for a singlecalculation. Precision for exponentialdisplay is:l:l at the least significant digit.Errors are cumulative in the case ofconsecutive calculations.
Functions Input RangeDEG 0"iiXI<9xI0'
silU RAD O:ii iXI< 157079632.7GRA O:iiLxl < 1 x10"
DEG 0:5 LxI< 9 X 10'
coax RAD O:ii iXI< 157079632.7
GRA 0;; LxI< 1 X 10"
DEG Same as sinr, except when iXI= (211-1)x 90.tanr RAD Same as sinr, except when iXI= (211-1)x1tl2.
GRA Same as sinr, except when LxI= (2n-l) x 100.
E-53
.Precision is basically the same as that described under "Calculation Rangeand Precision", above.
. x', -!./y, 'r, xl, nPr, nCr type functions require consecutive internalcalculation, which can cause accumulation of errors that occur with eachcalculation.
.Error is cumulative and tends to be large in the vicinity of a function's singularpoint and inflection point.
.The range for calculation results that can be displayed in "form when usingNatural Display is'Ixl < 10". Note, however, that internal calculation errorcan make it impossible to display some calculation results in "form. It alsocan cause calculation results that should be in decimal form to appear in"form.
The calculator will display an error message whenever an error occurs for
any reason during a calculation. There are two ways to exit an error messagedisplay: Pressing @ or @;) to display the location of the error, or pressing1!9 to clear the message and calculation.
Displaying the Location of an ErrorWhile an error message is displaYed, press @> or @;) to return to thecalculation screen. The cursor will be positioned at the location wherethe error occurred, ready for input. Make the necessary corrections to thecalculation and execute it again." When you input 14 + 0 x 2 =by mistake instead of 14 + 10 x 2 =
em I m -Math ERROR141Z101&!2§J
[ACJ : Cancel[~J[.J:Goto
Clearing the Error MessageWhilean errormessage is displayed,press 1!9to returnto the calculationscreen. Notethat thisalso clears the calculationthat containedthe error.Error Messages
MathERROR
Cause: .The intermediate or final result of the calculation you are performingexceeds the allowable calculation range. .Your input exceeds the allowable
input range (particularty when using functions). .The calculation you areperformingcontains an illegalmathematical operation (such as divisionbyzero).
E-54
sin-1xcos-1x
0;:;::;1
tarr'x o ;:; ;; 9.999999999x 10'"sinhx
o ;:i ;; 230.2585092coshxsinh-1x o :ii ;:ii4.999999999x 10'"cosh-'x 1 ;:ix ;:;4.999999999x 10'"
tanhx o :ii :i 9.999999999 x 10'"tanlr'x O:ii ;; 9.999999999x 10-'
Iogx/Inx o < x ;:;9.999999999x 10'"
10' -9.999999999 x 10":ii X 99.99999999
e' -9.999999999 x 10";; x;; 230.2585092
Vx 0:iix<1x10''''X' <1x10'"x-' < 1x 10'00;xO3.fX < 1x 10'00xl o ;; x ,:;69 (x is an integer)
nPr 0;:; n < 1x 10'., 0 ;:iir:ii n (n, r are integers)1 :ii(nV(n-r)I)< 1x 10''''
nCr 0;; n < 1 x 10'., O;:iir:ii n (n, r are integers)1 ,:;nVrl < 1x 10'''' or 1 ;; nV(n-r)1< 1x 10'00
Pol(x,y),IYI;; 9.999999999x 10'"
:ii 9.999999999 x 10"
o ;:i r:ii 9.999999999x 10"Rec(r, 8) 8: Same as sinx
lal,b, C< 1x 10'''' ; 0 ;:;b, C" " The displayseconds valueis subject to an errorof :I:1 atthe second decimalplace.
<1x10''''" " Decimal... SexagesimalConversions
0'0 '0-;; ::i9999999'59'59-
x> 0: -1 x 10'''' < ylogx< 100-
x' x=O:y>O
x < 0:y =n, 2:::'1 (m, n are integers)However:-1 x 10'''' < ylog < 100
y> O:x 0, -1 x 10''''< 1/x logy< 100
flyy=O:x>Oy < 0:x =2n+1,2n+1(m 0;m, n are integers)mHowever:-1 x 10'''' < 1/x logIYI< 100
ableTotalof integer,numerator,and denominatormust be 10digits or less (including division marks).
Ranlntl/(a,b) a < b; lal.lbI< 1x 10'";b -a < 1x 10'.- --
@;)(or @) [14+1J<2
l!f -
@>1§J r+ IOx2-;
-.145'
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 rangefor the function.
Stack ERROR
Cause: .The calculation you are performing has caused the capacity ofthe numeric stack or the command stack to be exceeded. .The calculationyou are performing has caused the capacity of the matrix or vector stackto be exceeded.Action: .Simplify the calculation expression so it does not exceed thecapacity of the stack. .Try splitting the calculation into two or more parts.
Syntax ERRORCause: There is a problem with the format of the calculation you areperforming.Action: Make necessary corrections.
Argument ERRORCause: There is a problem with the argument of the calculation you areperforming.Action: Make necessary corrections.
Dimension ERROR (MATRIXand VECTOR Modes only)Cause: .The matrix or vector you are trying to use in a calculation was inputwithout specifying its dimension. .You are trying to perform a calculation withmatrices or vectors whose dimensions do not allow that type of calculation.Action: .Specify the dimension of the matrix or vector and then performthe calculation again. .Check the dimensions specified for the matrices orvectors to see if they are compatible with the calculation.
Variable ERROR (SOLVE feature only)Cause: .You did not specify a solution variable, and there is no X variablein the equation you input. .The solution variable that you specified is notincluded in the equation you input.Action: .The equation you input must include an X variable when you donot specify the solution variable. .Specify a variable that is included in theequation you input as the solution variable.
Can't Solve Error (SOLVE feature only)Cause: The calculator could not obtain a solution.
Action: .Check .lor errors in the equation that you input. .Input a valuefor the solution variable that is close to the expected solution and try again.
Insufficient MEM EnrorCause: An attempt to generate a number table in th€ TABLE Mode whoseconditions cause it to exceed the maximum number of allowable rows. Themaximum number of rows is 30 when "f(x)" is selected for the setup menutable setting and 20 when '1(x),g(x)" is selected.Action: Narrow the table calculation range by changing the Start, End, andStep values, and try again.
Time Out ErrorCause: The current differential or integration calculation ends without theending condition being fulfilled. The current distribution calculation endswithout the ending condition being fullilled.Action: Differential or integration calculation: Try increasing the tol value.Note that this also decreases solution precision.
E-55
I Before Assuming Malfunction of the --;Calculator... _ J
Perform the following steps whenever an error occurs during a calculationor when calculation results are not what you expected. Ifone step does notcorrect the problem, move on to the next step.Note that you should make separate copies of important data beforeperforming these steps.
1. Check the calculation expression to make sure that itdoes not contain anyerrors.
2. Make sure that you are using the correct mOde for the type of calculationyou are trying to perform.
3.11the above steps do not correct your problem, press the @ID key. This willcause the calculator to perform a routine that checks whether calculation
functions are operating correctly. Ifthe calculator discovers any abnormality,itautomatically initializes the calculation mode and clears memory contents.For details about initialized settings. see 'Configuring the CalculatorSetup".
4. Initialize all mOdes and settings by performing the following operation:I!!1IIID(CLR) (I)(Setup)@(Yes).
Re~Cin!Lthe Batt~ry __A low battery is indicated by a dim display, even ifcontrast is adjusted, or byfailure of figures to appear on the display immediately after you tum on thecalculator. If this happens, replace the battery with a new one.Important: Removing the battery will cause all of the calculator's memorycontents to be deleted.
1.Press 1!!11@(OFF) to tum off the calculator.
" To ensure that you do not accidentally tum on power while replacing thebattery, slide the hard case onto the front of the calculator.
2. Remove the cover as shown in the illustration and Screwreplace the battery, taking care that its plus (+) andminus H ends are facing correctiy.
3. Replace the cover.
4.lnmalize the calculator. "0@1!!1I1ID(CLR)[!)(AII)@(Yes).Do not skip the above stepl
o
E-56
SP8.£~~Power Requirements:
Built-in solar cell; button battery lR44 (GPA76) x 1Approximate 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
!..... MI
.Frequently Asked Questions _ ___-==. How can I perform inpu1 and display results the same way I did on a
model that does not have Natural Textbook Display?Perform the following key operation: IIDI!!iiI(SETUP)IIJ(lineIO). See"Configuring the Calculator Setup" on page E-5 for more information.
. How can I change a fraction form result to decimal form?How can I change a fraction form result produced by a divisionoperation to decimal form?See "Toggling Calculation Results" on page E-14 for the procedure.
. What Is the difference between Ans memory, PreAns memory,Independent memory, and variable memory?Eachofthese types of memory acts like "containers"for temporarystorageof a single value.Ans Memory: Stores the result of the last calculation performed. Use thismemory to carry the result of one calculation on to the next.PreAns Memory: Stores the result of calculation before the last one.PreAns memory can be used only in the COMP Mode.Independent Memory: Use this memory to totalize the results of multiplecalculations.Variables: This memory is helpful when you need to uses the samevaluemultiple times in one or more calculations.
. Whatis the keyoperationto takeme from the STAT Mode or TABLEModeto a mode where I can perform arithmetic calculations?Press I!i!!II) (COMP).
. HowcanIreturnthecalculatorto Its Initialdefault settings?Perform the fQllowing operation; I!!iJ(IJ(ClR)II)(Setup)@(Yes)
. WhenIexecu1ea function calculation, why do I get a calculation result
that Is completely different from older CASIO calculator models?Witha NaturalTextbook Display model, the argument of a function thatuses parentheses must be followed by a closing parenthesis. Failing topress malter the argumentto closethe parenthesesmaycause unwantedvalues or expressions to be included as part of the argument.
Example: (sin 30) + 15 1mOlder(S-VPAM)Model: @301E 15@ 15.5NaturalTextbook Display Model: I!ImI @ 30m IE 15@ 15.5
Failure to press rn here as shown below will resutt In calculation of sin 45.
@301E 15@ 0.7071067812
E-57
CAS I0 $
CASIO COMPUTER CO., LTD.
6-2, Hon-machi 1-chomeShibuya-ku, Tokyo 151-8543, Japan
SA1111-A Printed in China
@2012 CASIO COMPUTER CO., LTD.