Texas Instruments TI-30X Plus Calculator

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Texas Instruments TI-30X Plus Calculator

TI-30X PlusMultiView™ Calculator

Importantinformation

2

Examples

3

Switchingthecalculator onandoff

3

Displaycontrast

3

Homescreen

4

2ndfunctions

6

Modes

6

Multi-tapkeys

9

Menus

10

Scrollingexpressionsandhistory

11

Answer toggle

12

Lastanswer

12

Order ofoperations

13

Clearingandcorrecting

15

Fractions

16

Percentages

18

EEkey

19

Powers,rootsandinverses

20

Pi

21

Math

22

Number functions

23

Angles

24

Rectangular topolar

27

Trigonometry

29

Hyperbolics

31

Logarithmandexponentialfunctions

32

Storedoperations

32

Memoryandstoredvariables

34

Dataeditor andlistformulas

37

1

Statistics,regressions,anddistributions

40

Probability

54

Functiontable

56

Number bases

59

Expressionevaluation

61

Constants

62

Conversions

65

Complexnumbers

68

Errors

72

Batteryinformation

77

TexasInstrumentsSupportandService

79

Important information

TexasInstrumentsmakesnowarranty,either express or implied,includingbutnotlimitedtoanyimplied warrantiesofmerchantabilityandfitnessfor a particular purpose,regardinganyprogramsor book materialsandmakessuchmaterialsavailablesolelyon an"as-is" basis. InnoeventshallTexasInstrumentsbe liabletoanyonefor special,collateral,incidental,or consequentialdamagesinconnectionwithor arising outofthepurchaseor useofthesematerials,andthe soleandexclusiveliabilityofTexasInstruments, regardlessoftheformofaction,shallnotexceedthe purchasepriceofthisproduct. Moreover,Texas Instrumentsshallnotbeliablefor anyclaimofanykind whatsoever againsttheuseofthesematerialsbyany other party.

MathPrint, APD, Automatic Power Down, EOS, andMultiView aretrademarks of Texas Instruments Incorporated.

Copyright©2014TexasInstrumentsIncorporated

2

Examples

Eachsectionisfollowedbyinstructionsfor keystroke examplesthatdemonstratetheTI-30XPlus MultiView™functions.

Examplesassumealldefaultsettings,asshowninthe

Modessection.

Somescreenelementsmaydiffer fromthoseshownin thisdocument.

Switching the calculator on and off

&turnsonthecalculator.%'turnsitoff. The displayiscleared,butthehistory,settings,and memoryareretained.

TheAPD™(AutomaticPower Down™) featureturns offthecalculator automaticallyifnokeyispressedfor about5minutes. Press&after APD. Thedisplay, pendingoperations,settings,andmemoryare retained.

Display contrast

Thebrightnessandcontrastofthedisplaycandepend onroomlighting,batteryfreshness,andviewingangle.

Toadjustthecontrast:

1.Pressandreleasethe %key.

2.PressTU(todarkenthescreen) or U(to lightenthescreen).

3

Home screen

OntheHomescreen,youcanenter mathematical expressionsandfunctions,alongwithother instructions. TheanswersaredisplayedontheHome screen. TheTI-30XPlusMultiView™screencan displayamaximumoffour lineswithamaximumof16 charactersper line. For entriesandexpressionsof morethan16characters,youcanscrollleftandright (!and ") toview theentireentryor expression.

IntheMathPrint™mode,youcanenter uptofour levels ofconsecutivenestedfunctionsandexpressions, whichincludefractions,squareroots,exponentswith ^, Ü,ex,and10x.

WhenyoucalculateanentryontheHomescreen, dependinguponspace,theanswer isdisplayedeither directlytotherightoftheentryor ontherightsideof thenextline.

Specialindicatorsandcursorsmaydisplayonthe screentoprovideadditionalinformationconcerning functionsor results.

Indicator

Definition

 

2ND

2ndfunction.

 

 

 

 

FIX

Fixed-decimalsetting. (See

 

 

Modesection.)

 

 

 

 

SCI,ENG

Scientificor engineering

 

 

notation. (SeeModesection.)

 

 

 

 

DEG,RAD,

Anglemode(degrees,

 

GRAD

radians,or gradians). (See

 

 

 

 

 

 

 

4

Indicator Definition

Modesection.)

L1,L2,L3 Displaysabovethelistsindata

editor.

H,B,O

IndicatesHEX,BIN,or OCT

 

number-basemode. No

 

indicator displayedfor default

 

DEC mode.

 

 

 

Thecalculator isperforming

 

anoperation.

56Anentryisstoredinmemory beforeand/or after theactive screen. Press#and $to scroll.

34Anentryor menudisplays beyond16digits. Press!or "toscroll.

Normalcursor. Showswhere thenextitemyoutypewill appear.

Entry-limitcursor. No additionalcharacterscanbe entered.

Placeholder boxfor empty MathPrint™element. Use arrow keystomoveintothe box.

MathPrint™cursor. Continue enteringthecurrent MathPrint™element,or press

5

Indicator Definition

anarrow keytoexitthe element.

2nd functions

%

Mostkeyscanperformmorethanonefunction. The primaryfunctionisindicatedonthekeyandthe secondaryfunctionisdisplayedaboveit. Press%to activatethesecondaryfunctionofagivenkey. Notice that 2ND appearsasanindicator onthescreen. To cancelitbeforeenteringdata,press%again. For example, %b25 <calculatesthesquarerootof 25andreturnstheresult,5.

Modes

q

Use qtochoosemodes. Press$#!"to chooseamode,and <toselectit. Press-or %storeturntotheHomescreenandperform your workusingthechosenmodesettings.

Defaultsettingsarehighlightedinthesesample screens.

DEG RAD GRAD Setstheanglemodetodegrees, radians,or gradians.

6

NORM SCI ENG Setsthenumericnotationmode. Numericnotationmodesaffectonlythedisplayof results,andnottheaccuracyofthevaluesstoredinthe unit,whichremainmaximal.

NORM displaysresultswithdigitstotheleftand rightofthedecimal,asin123456.78.

SCI expressesnumberswithonedigittotheleft ofthedecimalandtheappropriatepower of10, asin1.2345678×5(whichisthesameas 1.2345678×105).

ENG displaysresultsasanumber from1to999 times10toaninteger power. Theinteger power isalwaysamultipleof3.

Note:Eisashortcutkeytoenter anumber in scientificnotationformat. Theresultdisplaysin thenumericnotationformatselectedinthemode menu.

FLOAT0 1 2 3 4 5 6 7 8 9 Setsthedecimalnotation mode.

FLOAT(floatingdecimalpoint) displaysupto10 digits,plusthesignanddecimal.

0 1 2 3 4 5 6 7 8 9 (fixeddecimalpoint) specifies thenumber ofdigits(0through9) todisplaytothe rightofthedecimal.

REALa+bir±qSetstheformatofcomplexnumber results.

REAL realresults

a+bi rectangular results

r±q polar results

DECHEXBINOCTSetsthenumber baseusedfor calculations.

7

DEC decimal

HEX hexadecimal(Toenter hexdigitsAthrough F,use %§, %¨,andsoon.)

BIN binary

OCToctal

CLASSICMATHPRINT

CLASSIC modedisplaysinputsandoutputsina singleline.

MATHPRINT modedisplaysmostinputsand outputsintextbookformat.

Examples of Classic and MathPrint™ modes

Classic mode

MathPrint™ mode

Sci

Sci

Floatmodeandanswer Floatmodeandanswer togglekey. togglekey.

Fix2

Fix2andanswer toggle

 

key.

 

 

U n/d

U n/d

8

Classic mode

MathPrint™ mode

Exponentexample

Exponentexample

 

 

Squarerootexample

Squarerootexample

 

 

Cuberootexample

Cuberootexample

 

 

Multi-tap keys

Amulti-tapkeyisonethatcyclesthroughmultiple functionswhenyoupressit.

For example,the Xkeycontainsthetrigonometry functionssin and sin/ aswellasthehyperbolic functionssinh and sinh/. Pressthekeyrepeatedlyto displaythefunctionthatyouwanttoenter.

Multi-tapkeysinclude z, X, Y, Z, C, D, H,and g. Applicablesectionsofthisguidebook describehow tousethekeys.

9

Menus

Menusgiveyouaccesstoalargenumber ofcalculator functions. Somemenukeys,suchas%h, display asinglemenu. Others,suchasd,displaymultiple menus.

Press"and $toscrollandselectamenuitem,or pressthecorrespondingnumber nexttotheitem. To returntothepreviousscreenwithoutselectingthe item,press-. Toexitamenuandreturntothe Homescreen,press%s.

%h(keywithasinglemenu):

RECALL VAR (withvaluessettodefaultof0)

1:x=0

2:y=0

3:z=0

4:t=0

5:a=0

6:b=0

7:c=0

8:d=0

d(keywithmultiplemenus):

MATH

 

NUM

DMS

R ³´ P

1:4n/

³4Un/

d

1:abs(

1:°

1:P´Rx(

d

 

 

 

 

2:lcm(

 

2:round(

2: ¢

2:P´Ry(

3:gcd(

 

3:iPart(

3: £

3:R ´Pr(

4: 4Pfactor

 

4:fPart(

4:r

4:R ´Pq(

10

MATH

NUM

DMS

R ³´ P

5:sum(

5:int(

5:g

 

6:prod(

6:min(

6: ´DMS

 

 

7:max(

 

 

 

8:mod(

 

 

Scrolling expressions and history

!"#$

Press!or "tomovethecursor withinanexpression thatyouareenteringor editing. Press%!or % "tomovethecursor directlytothebeginningor endof theexpression.

After youevaluateanexpression,theexpressionand itsresultareaddedautomaticallytothehistory. Use # and $toscrollthroughthehistory. Youcanreusea previousentrybypressing <topasteitonthe bottomline,whereyoucanedititandevaluateanew expression.

Example

Scroll 7 FU4

(3 )(1 )<

%b##<

<

r

11

Answer toggle r

Pressthe rkeytotogglethedisplayresult(when possible) betweenfractionanddecimalanswers,exact squarerootanddecimal,andexactpianddecimal.

Pressing rdisplaysthelastresultinthefullprecision ofitsstoredvalue,whichmaynotmatchtherounded value.

Example

Answer %b8 < toggle

r

Last answer

%i

Thelastentryperformedonthehomescreenisstored tothevariable ans. Thisvariableisretainedinmemory, evenafter thecalculator isturnedoff. Torecallthe valueof ans:

Press%i(ans displaysonthescreen),or

Pressanyoperationskey( T, U,andsoforth) as thefirstpartofanentry. ans andtheoperator are bothdisplayed.

Examples

12

ans 3 V3 <

V3 <

3 %c%i

Order of operations

TheTI-30XPlusMultiView™calculator usesEquation OperatingSystem(EOS™) toevaluateexpressions. Withinaprioritylevel,EOSevaluatesfunctionsfromleft torightandinthefollowingorder.

1st

Expressionsinsideparentheses.

 

 

2nd

Functionsthatneeda ) andprecede

 

theargument,suchassin, log,andall

 

R³´P menuitems.

 

 

3rd

Fractions.

 

 

4th

Functionsthatareenteredafter the

 

argument,suchasx2 andangleunit

 

modifiers.

 

 

5th

Exponentiation(^) androots(x‡).

 

Note:InClassicmode,exponentiation

 

usingthe Gkeyisevaluatedfromleft

 

toright. Theexpression2^3^2is

 

evaluatedas(2^3)^2,witharesultof

 

64.

 

 

13

 

InMathPrint™mode,exponentiation

 

 

 

usingthe Gkeyisevaluatedfromright

 

 

 

toleft. Theexpression2^3^2is

 

 

 

evaluatedas2^(3^2),witharesultof

 

 

 

512.

 

 

 

 

Thecalculator evaluatesexpressions

 

 

 

enteredwith Fand afromlefttoright

 

 

 

inbothClassicandMathPrint™modes.

 

 

 

Pressing3 FFiscalculatedas(32)

 

 

 

2 =81.

 

 

 

6th

Negation(M).

 

 

 

 

 

 

 

 

7th

Permutations(nPr) andcombinations

 

 

 

(nCr).

 

 

 

 

 

 

 

 

8th

Multiplication,impliedmultiplication,

 

 

 

division.

 

 

 

 

 

 

 

 

9th

Additionandsubtraction.

 

 

 

 

 

 

 

 

10th

Conversions(n/d ³´Un/d, F³´D,

 

 

 

4DMS).

 

 

 

 

 

 

 

 

11th

<completesalloperationsand

 

 

 

closesallopenparentheses.

 

 

 

 

 

 

 

 

Examples

 

 

 

 

 

 

 

 

+Q PM

 

6 0 T5 VM1 2

 

 

 

 

 

<

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

14

(M) 1 TM8 T1 2 <

%b9 T16 <

( ) 4 V( 2 T3 ) <

4 ( 2 T3 ) <

^ and ‡ %b3 G2 "T4 G2 <

Clearing and correcting

%s ReturnstotheHomescreen.

-Clearsanerror message. Clearscharactersonentryline.

Movesthecursor tolastentryin historyoncedisplayisclear.

JDeletesthecharacter atthe cursor.

%f

Insertsacharacter atthecursor.

%{ Clearsvariablesx, y, z, t, a, b, c,

 

and dtotheir defaultvalueof0.

 

 

% 2

Resetsthecalculator. Returns

 

unittodefaultsettings;clears

 

memoryvariables,pending

15

operations,allentriesinhistory,

andstatisticaldata;clearsany storedoperation,and ans.

Fractions

P%@d1 %ãf³´dä

IntheMathPrint™mode,fractionswith Pcaninclude realandcomplexnumbers,operationkeys(T, V, etc.),andmostfunctionkeys(F, %, _,etc.).

InClassicmode,fractionswith Pdonotallow operationkeys,functions,or complexfractionsinthe numerator or denominator.

Note:InClassicmode,onlynumber entriesare supportedwhenusing P. FractionsinClassicmode areshownwithadouble-thickfractionbar (for example, ). Thenumerator mustbeaninteger, andthedenominator mustbeapositiveinteger. To computemorecomplexexpressions(functions, variables,complexnumbers,etc.),use Walongwith (and ).

Thecalculator defaultsoutputtoimproper fractions. Resultsareautomaticallysimplified.

Pentersasimplefraction. Pressing Pbeforeor after anumber canresultindifferentbehavior. Enteringanumber beforepressing Pmakesthat number thenumerator.

Toenter fractionswithoperatorsor radicals, pressPbeforeyouenter anumber (in MathPrint™modeonly).

InMathPrint™mode,press$betweentheentry ofthenumerator andthedenominator.

16

InClassicmode,pressPbetweentheentryof thenumerator andthedenominator. Thefraction bar willappear thicker thanthedivisionbar.

Pressing %#fromanyMathPrint™level, includingthedenominator or alower limit,places thecursor inthehistory. Pressingenter willthen pastetheexpressionbacktothatMathPrint™ level.

-Topasteapreviousentryinthe denominator,placethecursor inthe denominator,press%#toscrolltothe desiredentry,andthenpress<topaste theentrytothedenominator.

-Topasteapreviousentryinthenumerator or unit,placethecursor inthenumerator or unit,press#or %#toscrolltothe desiredentry,andthenpress<topaste theentrytothenumerator or unit.

%@entersamixednumber. Pressthearrow keystocyclethroughtheunit,numerator,and denominator.

d1 convertsbetweensimplefractionsand mixed-number form(4n/d³´Un/d).

%ãf³ò´dä convertsresultsbetweenfractions anddecimals.

Examples Classic mode

n/

,Un/

d

3 P4 T1 %@7

 

 

d

 

P12 <

 

 

 

 

 

 

 

 

 

 

 

 

n/

³´Un/

9 P2 d1 <

 

 

d

 

d

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

17

F³´D 4 %@1 P2 % ãf³´dä <

Examples MathPrint™ mode

n/d,U n/d

P3 $4 "T 1

 

 

 

 

%@7 $12

 

 

 

 

<

 

 

 

 

 

 

n/

³´Un/

d

9 P2 "d1

 

d

 

<

 

 

 

 

 

 

 

 

 

F³´D

 

4 %@1 $2 "

 

 

 

 

%ãf³´dä <

 

 

 

 

Examples

P1.2 T1.3 $4

 

(

 

 

<

 

MathPrint

 

 

™mode

 

 

 

only)

 

 

 

 

 

 

 

 

(

 

 

PM5 T%b5

 

MathPrint

FU4 (1 )(6

 

™mode

)$2 (1 )<

 

only)

 

 

 

 

 

 

 

 

Percentages

%_

Toperformacalculationinvolvingapercentage,press

%_after enteringthevalueofthepercentage.

Example

18

2 %_V150 <

Š³ Problem

Aminingcompanyextracts5000tonsoforewitha

concentrationofmetalof3%and7300tonswitha concentrationof2.3%. Onthebasisofthesetwo extractionfigures,whatisthetotalquantityofmetal obtained?

Ifonetonofmetalisworth280dollars,whatisthetotal

valueofthemetalextracted?

3 %_V5000 <

T2.3 %_V7300 <

V280 <

Thetwoextractionsrepresentatotalof317.9tonsof metalfor atotalvalueof89012dollars.

EE key

E

Eisashortcutkeytoenter anumber inscientific notationformat.

Example

19

2 E5 <

q$"<

-<

Powers, roots and inverses

FCalculatesthesquareofavalue. The TI-30XPlusMultiView™calculator evaluatesexpressionsenteredwith F and afromlefttorightinbothClassic andMathPrint™modes.

GRaisesavaluetothepower indicated. Use "tomovethecursor outofthe power.

%b Calculatesthesquarerootofanon-

negativevalue.

%c Calculatesthe nthrootofanynonnegativevalueandanyoddinteger rootofanegativevalue.

aGivestheinverseofavalue:1/x. The calculator evaluatesexpressions enteredwith Fand afromleftto rightinbothClassicandMathPrint™ modes.

Examples

20

q$<-

5 FT4 G2 T1 "<

10 GM2 <

%b49 <

%b3 FT2 G4 <

6 %c64 <

2 %a<

Pi

g(multi-tapkey)

p=3.141592653590for calculations. p=3.141592654for display.

Example

p2 Vg<

r

21

Š³ Problem

Whatistheareaofacircleiftheradiusis12cm?

Reminder:A=p×r2

gV12 F< r

Theareaofthecircleis144 psquarecm. Theareaof thecircleisapproximately452.4squarecmwhen roundedtoonedecimalplace.

Math

dMATH

ddisplaysthe MATH menu:

1:4n/

d

³´Un/

d

Convertsbetweensimplefractions

 

 

andmixed-number form.

 

 

 

 

2:lcm(

 

Leastcommonmultiple

3:gcd(

 

Greatestcommondivisor

4: 4Pfactor

 

Primefactors

5:sum(

 

Summation

6:prod(

 

Product

Examples

n/d³´Un/d 9 P2 "d1 <

lcm( d2

6 %`9 )<

22

gcd(

d3

 

 

18 %`33 )<

 

 

 

 

4Pfactor

253 d4 <

 

 

 

 

sum(

d5

 

 

1 "4 "zV2

 

 

<

 

 

 

 

prod(S

d6

 

 

1 "5 "1 Pz

 

 

""<

 

 

 

 

Number functions

dNUM

d"displaysthe NUM menu:

1:abs(

Absolutevalue

2:round(

Roundedvalue

3:iPart(

Integer partofanumber

4:fPart(

Fractionalpartofanumber

5:int(

Greatestinteger thatisÅthenumber

6:min(

Minimumoftwonumbers

7:max(

Maximumoftwonumbers

8:mod(

Modulo(remainder offirstnumber P

 

secondnumber)

Examples

 

23

abs(

d"1

 

 

M%b5 <

 

 

 

 

round(

d"2

 

 

1.245 %`1 )

 

 

<

 

 

##<

 

 

!!!!!5 <

 

 

 

 

iPart(

4.9 Lz<

 

fPart(

d"3 z)

 

 

<

 

 

d"4 z)

 

 

V3 <

 

 

 

 

int(

d"5

 

 

M5.6 )<

 

 

 

 

min(

d"6

 

max(

4 %`M5 )

 

 

<

 

 

d"7

 

 

.6 %`.7 )<

 

 

 

 

mod(

d"8

 

 

17 %`12 )<

 

 

##<!!6

 

 

<

 

 

 

 

Angles

dDMS

d""displaysthe DMS menu:

1:°

Specifiestheangleunitmodifier as

 

degrees(º).

24

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