Sharp EL-W516T User manual
PRINTED IN CHINA
16FSC (TINSEA150EHZZ)
B1094
INTRODUCTION
About the calculation examples (including some formulas and
tables), refer to the calculation examples sheet.
After reading this manual, store it in a convenient location for future
reference.
Note: Some of the models described in this manual may not be
available in some countries.
Operational Notes
s $ONOTCARRYTHECALCULATORAROUNDINYOURBACKPOCKETASITMAY
BREAKWHENYOUSITDOWN4HEDISPLAYISMADEOFGLASSANDIS
PARTICULARLYFRAGILE
s +EEPTHECALCULATORAWAYFROMEXTREMEHEATSUCHASONACAR
DASHBOARDORNEARAHEATERANDAVOIDEXPOSINGITTOEXCESSIVELY
humid or dusty environments.
s 3INCETHISPRODUCTISNOTWATERPROOFDONOTUSEITORSTOREITWHERE
mUIDSFOREXAMPLEWATERCANSPLASHONTOIT2AINDROPSWATERSPRAY
JUICECOFFEESTEAMPERSPIRATIONETCWILLALSOCAUSEMALFUNCTION
s #LEANWITHASOFTDRYCLOTH$ONOTUSESOLVENTSORAWETCLOTH!VOID
using a rough cloth or anything else that may cause scratches.
s $ONOTDROPITORAPPLYEXCESSIVEFORCE
s .EVERDISPOSEOFBATTERIESINAlRE
s +EEPBATTERIESOUTOFTHEREACHOFCHILDREN
s &ORTHESAKEOFYOURHEALTHTRYNOTTOUSETHISPRODUCTFORLONG
PERIODSOFTIME)FYOUNEEDTOUSETHEPRODUCTFORANEXTENDED
PERIODBESURETOALLOWYOUREYESHANDSARMSANDBODYADEQUATE
RESTPERIODSABOUTnMINUTESEVERYHOUR
)FYOUEXPERIENCEANYPAINORFATIGUEWHILEUSINGTHISPRODUCT
DISCONTINUEUSEIMMEDIATELY)FTHEDISCOMFORTCONTINUESPLEASE
consult a doctor.
s 4HISPRODUCTINCLUDINGACCESSORIESMAYCHANGEDUETOUPGRADING
WITHOUTPRIORNOTICE
NOTICE
s 3(!20STRONGLYRECOMMENDSTHATSEPARATEPERMANENTWRITTEN
RECORDSBEKEPTOFALLIMPORTANTDATA$ATAMAYBELOSTOR
ALTEREDINVIRTUALLYANYELECTRONICMEMORYPRODUCTUNDERCERTAIN
CIRCUMSTANCES4HEREFORE3(!20ASSUMESNORESPONSIBILITYFOR
DATALOSTOROTHERWISERENDEREDUNUSABLEWHETHERASARESULTOF
IMPROPERUSEREPAIRSDEFECTSBATTERYREPLACEMENTUSEAFTERTHE
SPECIlEDBATTERYLIFEHASEXPIREDORANYOTHERCAUSE
s 3(!20WILLNOTBELIABLENORRESPONSIBLEFORANYINCIDENTALOR
CONSEQUENTIALECONOMICORPROPERTYDAMAGECAUSEDBYMISUSE
ANDORMALFUNCTIONSOFTHISPRODUCTANDITSPERIPHERALSUNLESS
SUCHLIABILITYISACKNOWLEDGEDBYLAW
i0RESSTHE2%3%4SWITCHONTHEBACKWITHTHETIPOFABALLPOINT
PENORSIMILAROBJECTONLYINTHEFOLLOWINGCASESDo not use an
OBJECTWITHABREAKABLEORSHARPTIP.OTETHATPRESSINGTHE2%3%4
SWITCHERASESALLDATASTOREDINMEMORY
s 7HENUSINGFORTHElRSTTIME
s !FTERREPLACINGTHEBATTERY
s 4OCLEARALLMEMORYCONTENTS
s 7HENANABNORMALCONDITIONOCCURSANDALLKEYSAREINOPERATIVE
i
)FSERVICESHOULDBEREQUIREDONTHISCALCULATORHAVETHECALCULATOR
SERVICEDINTHEREGIONCOUNTRYWHEREYOUPURCHASEDIT
Hard Case
DISPLAY
Dot
MATRIX
DISPLAY
Mantissa %XPONENT
s $URINGACTUALUSENOTALLSYMBOLSAREDISPLAYEDATTHESAMETIME
s /NLYTHESYMBOLSREQUIREDFORTHEUSAGECURRENTLYBEINGEXPLAINED
ARESHOWNINTHEDISPLAYANDCALCULATIONEXAMPLES
/
/
: Indicates that some contents are hidden in the directions
SHOWN
2ndF !PPEARSWHEN@ISPRESSEDINDICATINGTHATTHEFUNCTIONS
SHOWNINTHESAMECOLORAS@are enabled.
HYP: Indicates that HHASBEENPRESSEDANDTHEHYPERBOLIC
functions are enabled. If @>ISPRESSEDTHESYMBOLS
2ndF HYPAPPEARINDICATINGTHATINVERSEHYPERBOLIC
functions are enabled.
ALPHA !PPEARSWHEN;ISPRESSEDINDICATINGTHATTHEFUNCTIONS
SHOWNINTHESAMECOLORAS;are enabled.
!PPEARSWHENxor tISPRESSEDANDENTRYRECALL
OFMEMORYCONTENTSCANBEPERFORMED
FIX/SCI/ENG/N1/N2)NDICATESTHENOTATIONUSEDTODISPLAYAVALUE
and changes by SET UP menu. N1ISDISPLAYEDONSCREEN
ASh./2-vANDN2ASh./2-v
DEG/RAD/GRAD: Indicates angular units.
BUSY !PPEARSDURINGTHEEXECUTIONOFACALCULATION
W-VIEW)NDICATESTHATTHE7RITE6IEWEDITORISSELECTED
M )NDICATESTHATANUMERICALVALUEISSTOREDINTHEINDEPENDENT
memory (M).
/ )NDICATESTHEMODEOFEXPRESSIONFORRESULTSIN#/-0,%8
mode.
BEFORE USING THE CALCULATOR
Press jTOTURNTHECALCULATORON4HEDATATHATWASONSCREENWHEN
THEPOWERWASTURNEDOFFWILLAPPEARONTHEDISPLAY
Press @oto turn the calculator off.
Key Notations Used in this Manual
4OSPECIFYex: @"
4OSPECIFYLN i
4OSPECIFY% ;E
s &UNCTIONSTHATAREPRINTEDINGRAYADJACENTTOTHEKEYSAREEFFECTIVEIN
SPECIlCMODES
s 4HEMULTIPLICATIONOPERATORh vISDIFFERENTIATEDFROMTHELETTERh8vINTHIS
MANUALASFOLLOWS
4OSPECIFYTHEMULTIPLICATIONOPERATORk
4OSPECIFYTHELETTERh8v;X
s )NCERTAINCALCULATIONEXAMPLESWHEREYOUSEETHEosymbol, the
KEYOPERATIONSANDCALCULATIONRESULTSARESHOWNASTHEYWOULDAPPEAR
INTHE,INEEDITOR
s )NEACHEXAMPLEPRESSjTOCLEARTHEDISPLAYlRST5NLESSOTHERWISE
SPECIlEDCALCULATIONEXAMPLESAREPERFORMEDINTHE7RITE6IEWEDITOR
(@J200WITHTHEDEFAULTDISPLAYSETTINGS@
P0).
Clearing the Entry and Memories
/PERATION Entry
$ISPLAY
!n&
-89 $n$ ANS
STAT*
1
MAT!n$
VECT!n$
j
Ɉ
ɏɏɏɏɏ
@Z
Ɉ
ɏɏ
ɈɈ Ɉ
Mode selection (b)
Ɉ
ɏɏɏ
ɏ
*
Ɉ
@P0
Ɉ
ɏɏɏɏɏ
@P10
ɈɈɈɈɈɈ
@P20
ɈɈɈɈɈɈ
2%3%4SWITCH
ɈɈɈɈɈɈ
Ɉ
: Clear
ɏ
: Retain
*1 Statistical data (entered data)
#LEAREDWHENCHANGINGBETWEENSUBMODESIN34!4MODE
4HE2%3%4OPERATIONWILLERASEALLDATASTOREDINMEMORYANDRESTORE
the calculator’s default settings. The username you stored using the
NAMEDISPLAYFUNCTIONWILLBECLEAREDASWELL
Memory clear key
Press @PTODISPLAYTHEMENU
s 4OINITIALIZETHEDISPLAYSETTINGSPRESS04HEPARAMETERSARESETAS
FOLLOWS
s !NGULARUNIT$%'
s $ISPLAYNOTATION./2-
s .BASE$%#
s 2ECURRINGDECIMAL/&&
Mode Selection
./2-!,MODEb0
5SEDTOPERFORMARITHMETICOPERATIONSANDFUNCTIONCALCULATIONS
STAT mode: b1
5SEDTOPERFORMSTATISTICALOPERATIONS
4!",%MODEb2
5SEDTOILLUSTRATETHECHANGESINVALUESOFONEORTWOFUNCTIONSINTABLEFORMAT
#/-0,%8MODEb3
5SEDTOPERFORMCOMPLEXNUMBERCALCULATIONS
%15!4)/.MODEb4
5SEDTOSOLVEEQUATIONS
-!42)8MODEb5
5SEDTOPERFORMMATRIXCALCULATIONS
6%#4/2MODEb6
5SEDTOPERFORMVECTORCALCULATIONS
$)342)"54)/.MODEb7
5SEDTOPERFORMDISTRIBUTIONCALCULATIONS
$2),,MODEb8
5SEDTOPRACTICEMATHANDMULTIPLICATIONTABLEDRILLS
HOME Key
Press 7TORETURNTO./2-!,MODEFROMOTHERMODES
.OTE %QUATIONSANDVALUESCURRENTLYBEINGENTEREDWILLDISAPPEARINTHE
SAMEWAYASWHENTHEMODEISCHANGED
SET UP Menu
Press @JTODISPLAYTHE3%450MENU
Press jTOEXITTHE3%450MENU
.OTE 9OUCANPRESSNTORETURNTOTHEPREVIOUSLYDISPLAYEDPARENT
menu.
Determination of the angular unit (degrees, radians, and grades)
$%' @J00(default)
RAD (rad): @J01
'2!$G @J02
Selecting the display notation and decimal places 1
4WOSETTINGSOF&LOATINGPOINT./2-AND./2-&IXEDDECIMALPOINT
&)83CIENTIlCNOTATION3#)AND%NGINEERINGNOTATION%.'
s 7HEN@J10&)8OR@J12%.'IS
PRESSEDTHENUMBEROFDECIMALPLACES4!"CANBESETTOANYVALUE
BETWEENAND
s 7HEN@J113#)ISPRESSEDTHENUMBEROF
SIGNIlCANTDIGITSCANBESETTOANYVALUEBETWEENAND%NTERING
WILLSETADIGITDISPLAY
Setting the floating point number system in scientific notation
./2-THEDEFAULTAND./2-!NUMBERISAUTOMATICALLYDISPLAYEDIN
SCIENTIlCNOTATIONOUTSIDEAPRESETRANGE
./2-@J13): 0.000000001 ≤ \ X \ ≤9,999,999,999
./2-@J14): 0.01 ≤ \ X \ ≤9,999,999,999
Selecting the editor and setting the answer display 2
4HISCALCULATORHASTHEFOLLOWINGTWOEDITORSIN./2-!,MODE
7RITE6IEWAND,INE
3ETTHEDISPLAYFORMATFORNUMERICALCALCULATIONRESULTSIN7RITE6IEWEDITOR
The WriteView editor
%8!#4ABr,
S
) @
J200(default)
!002/8 @
J201
The Line editor @
J21
Notes:
s 7HENh%8!#4ABr,
S
vISSETRESULTSWILLAPPEARINFRACTIONFORMATOR
irrational number format (including
S
and rWHENDISPLAYISPOSSIBLE
s 7HENh!002/8vISSETRESULTSWILLBEDECIMALDISPLAYORFRACTION
DISPLAYANDWILLBENOTSHOWNINIRRATIONALNUMBERFORMATINCLUDINGS
and r).
s 0RESSUto change the calculation results to another format that can
BEDISPLAYED
Adjusting the display contrast
Press @J3, then +or &to adjust the contrast. Press
jTOEXIT
Insert and overwrite entry methods
7HENUSINGTHE,INEEDITORYOUCANCHANGETHEENTRYMETHODFROM
h).3%24vTHEDEFAULTTOh/6%272)4%v
!FTERYOUSWITCHTOTHEOVERWRITEMETHODBYPRESSING@
J
41),
THETRIANGULARCURSORWILLCHANGETOARECTANGULARONEANDTHENUMBEROR
FUNCTIONUNDERNEATHITWILLBEOVERWRITTENASYOUMAKEENTRIES
Setting the recurring decimal 3
)N./2-!,MODECALCULATIONRESULTSCANBESHOWNINARECURRING
decimal format.
2ECURRINGDECIMALIS/&&@J50(default)
2ECURRINGDECIMALIS/. @J51
s )NTHE7RITE6IEWEDITORTHERECURRINGPARTISINDICATEDBYhv)NTHE
,INEEDITORTHERECURRINGPARTISINDICATEDINPARENTHESES
s )FOVERDIGITSINCLUDINGTHERECURRINGPARTTHERESULTCANNOTBE
DISPLAYEDINRECURRINGDECIMALFORMAT
Setting of the decimal point
9OUCANSHOWTHEDECIMALPOINTINTHECALCULATIONRESULTASEITHERADOT
or a comma.
$/4 J60(default)
#/--!J61
s $URINGENTRYTHEDECIMALPOINTISONLYSHOWNASADOT
Name display function
9OUCANSAVEAUSERNAMEINTHISCALCULATOR7HENYOUTURNTHEPOWEROFF
THESAVEDUSERNAMEISDISPLAYEDMOMENTARILY
5PTOCHARACTERSMAYBESAVEDSPLITOVERTWOLINES
Entering and editing the username:
1. Press @J74HEEDITINGSCREENAPPEARSWITHAmASHING
cursor.
5SEuand dto scroll through the available characters.
0RESSINGlor rmoves the cursor to the left or right.
To modify a character, use lor rto move the cursor to the
character, then select another character using uor d.
2EPEATSTEPSANDABOVETOCONTINUEENTERINGCHARACTERS
5. Press =TOSAVEANDQUIT
Note: Press @Zin the editing screen to clear all the
characters.
ENTERING, DISPLAYING, AND EDITING THE EQUATION
4
The WriteView Editor
Entry and display
)NTHE7RITE6IEWEDITORYOUCANENTERANDDISPLAYFRACTIONSORCERTAIN
FUNCTIONSASYOUWOULDWRITETHEM
s 4HE7RITE6IEWEDITORCANBEUSEDIN./2-!,MODE
Displaying calculation results (when EXACT is selected)
7HENPOSSIBLECALCULATIONRESULTSWILLBEDISPLAYEDUSINGFRACTIONSr,
and π7HENYOUPRESSUTHEDISPLAYWILLCYCLETHROUGHTHEFOLLOWING
DISPLAYSTYLES
s -IXEDFRACTIONSWITHORWITHOUTπ) IMPROPERFRACTIONSWITHOR
WITHOUTπ) decimal numbers
s 0ROPERFRACTIONSWITHORWITHOUTπ) decimal numbers
s )RRATIONALNUMBERSSQUAREROOTSFRACTIONSMADEUSINGSQUAREROOTS
decimal numbers
Notes:
s
)NTHEFOLLOWINGCASESCALCULATIONRESULTSMAYBEDISPLAYEDUSINGr:
s !RITHMETICOPERATIONSANDMEMORYCALCULATIONS
s 4RIGONOMETRICCALCULATIONS
s )NTRIGONOMETRICCALCULATIONSWHEN
entering values such as those in the
TABLETOTHERIGHTRESULTSMAYBESHOWN
using r.
s )MPROPERPROPERFRACTIONSWILLBE
CONVERTEDTOANDDISPLAYEDASDECIMAL
numbers if the number of digits used in
THEIREXPRESSIONISGREATERTHANNINE)NTHECASEOFMIXEDFRACTIONSTHE
MAXIMUMNUMBEROFDISPLAYABLEDIGITSINCLUDINGINTEGERSISEIGHT
s )FTHENUMBEROFDIGITSINTHEDENOMINATOROFAFRACTIONALRESULTTHATUSES
πISGREATERTHANTHREETHERESULTISCONVERTEDTOANDDISPLAYEDASA
decimal number.
Performing integral calculations
1. Press ;F.
3PECIFYTHEFOLLOWINGPARAMETERSRANGEOFINTEGRALINITIALVALUE
a
), end
value (
b
FUNCTIONWITHVARIABLEx, and number of subintervals (
n
).
9OUDONOTNEEDTOSPECIFYTHENUMBEROFSUBINTERVALS)FTHE
NUMBEROFSUBINTERVALSISNOTSPECIlEDTHEDEFAULTVALUEOF
nWILLBEUSED
0RESS=.
Notes:
s 0ARAMETERSAREENTEREDINTHEFOLLOWINGWAY
7RITE6IEWEDITOR ,INEEDITOR
a
bfunction[, subintervals]dx (function, a, b[, subintervals])
s )NTEGRALCALCULATIONS
DEPENDINGONTHE
integrands and
subintervals included,
REQUIRELONGER
calculation time.
During calculation,
the BUSY symbol
WILLBEDISPLAYED4O
cancel calculation,
PRESSj.
.OTETHATTHEREWILL
BEGREATERINTEGRALERRORSWHENTHEREARELARGEmUCTUATIONSINTHE
integral values during minute shifting of the integral range and for
PERIODICFUNCTIONSETCWHEREPOSITIVEANDNEGATIVEINTEGRALVALUES
EXISTDEPENDINGONTHEINTERVAL
&ORTHEFORMERCASEDIVIDEINTEGRALINTERVALSASSMALLASPOSSIBLE
&ORTHELATTERCASESEPARATETHEPOSITIVEANDNEGATIVEVALUES
&OLLOWINGTHESETIPSWILLALLOWYOUTOOBTAINRESULTSFROMCALCULATIONS
WITHGREATERACCURACYANDWILLALSOSHORTENTHECALCULATIONTIME
Performing differential calculations
1. Press ;G.
3PECIFYTHEFOLLOWINGPARAMETERSFUNCTIONWITHVARIABLEx, value of
x, and minute interval (dx).
9OUDONOTNEEDTOSPECIFYTHEMINUTEINTERVAL)FTHEMINUTEINTERVAL
ISNOTSPECIlEDITWILLAUTOMATICALLYBESETTO−5WHILEx=0), or
|
x| × 10−5WHILEx≠0).
0RESS=.
.OTE 0ARAMETERSAREENTEREDINTHEFOLLOWINGWAY
7RITE6IEWEDITOR
d(function)
n
dx
|
x=value of x[, minute interval]
,INEEDITOR
d/dx (function, value of x[, minute interval])
∑Function 11
The ∑FUNCTIONRETURNSTHECUMULATIVESUMOFAGIVENEXPRESSIONFROM
ANINITIALVALUETOANENDVALUEIN./2-!,MODE
Performing ∑calculations
1. Press ;I.
3PECIFYTHEFOLLOWINGPARAMETERSINITIALVALUEENDVALUEFUNCTION
WITHVARIABLEx, and increment (n).
9OUDONOTNEEDTOSPECIFYTHEINCREMENT)FTHEINCREMENTISNOT
SPECIlEDTHEDEFAULTVALUEOFnWILLBEUSED
0RESS=.
.OTE 0ARAMETERSAREENTEREDINTHEFOLLOWINGWAY
7RITE6IEWEDITOR
end value
Σ(function[, increment])
x
=
initial value
,INEEDITOR
Σ(function, initial value, end value[, increment])
3Function 12
The ȆFUNCTIONRETURNSTHEPRODUCTOFAGIVENEXPRESSIONFROMAN
INITIALVALUETOANENDVALUEIN./2-!,MODE
Performing Πcalculations
1. Press ;;.
3PECIFYTHEFOLLOWINGPARAMETERSINITIALVALUEENDVALUEFUNCTION
WITHVARIABLEx, and increment (n).
9OUDONOTNEEDTOSPECIFYTHEINCREMENT)FTHEINCREMENTISNOT
SPECIlEDTHEDEFAULTVALUEOFnWILLBEUSED
0RESS=.
.OTE 0ARAMETERSAREENTEREDINTHEFOLLOWINGWAY
7RITE6IEWEDITOR
end value
Ȇ(function[, increment])
x
=
initial value
,INEEDITOR
Ȇ(function, initial value, end value[, increment])
Random Function
The random function has four settings. (This function cannot be
SELECTEDWHILEUSINGTHE.BASEFUNCTION4OGENERATEFURTHERRANDOM
NUMBERSINSUCCESSIONPRESSe. Press jTOEXIT
Random numbers
!PSEUDORANDOMNUMBERWITHTHREESIGNIlCANTDIGITSFROMUPTO
CANBEGENERATEDBYPRESSING@w0e.
.OTE )NTHE7RITE6IEWEDITORIFTHERESULTISNOTITCANBESHOWNAS
a fraction or decimal using U.
Random dice
4OSIMULATEADIEROLLINGARANDOMINTEGERBETWEENANDCANBE
GENERATEDBYPRESSING@w1e.
Random coin
4OSIMULATEACOINmIPHEADSORTAILSCANBERANDOMLY
GENERATEDBYPRESSING@w2e.
Random integer
9OUCANSPECIFYARANGEFORTHERANDOMINTEGERWITHh2)NTvONLY
R.Int(minimum value, maximum value)
&OREXAMPLEIFYOUENTER@w31
H
99 )e, a
RANDOMINTEGERFROMTOWILLBEGENERATED
Angular Unit Conversions 13
Each time @]ISPRESSEDTHEANGULARUNITCHANGESINSEQUENCE
Memory Calculations 14
Temporary memories (A–F, X and Y)
Press xANDAVARIABLEKEYTOSTOREAVALUEINMEMORY
Press tANDAVARIABLEKEYTORECALLTHEVALUEFROMTHATMEMORY4O
PLACEAVARIABLEINANEQUATIONPRESS;ANDAVARIABLEKEY
Independent memory (M)
)NADDITIONTOALLTHEFEATURESOFTEMPORARYMEMORIESAVALUECANBE
ADDEDTOORSUBTRACTEDFROMANEXISTINGMEMORYVALUE
Press jxMTOCLEARTHEINDEPENDENTMEMORY-
Last answer memory (ANS)
4HECALCULATIONRESULTOBTAINEDBYPRESSING=or any other calculation
ENDINGINSTRUCTIONISAUTOMATICALLYSTOREDINTHELASTANSWERMEMORY
7HENTHECALCULATIONRESULTISINMATRIXORVECTORFORMTHEFULLMATRIX
ORVECTORISNOTSTOREDINTO!.3MEMORY/NLYTHEVALUEOFTHEELEMENT
covered by the cursor is stored.
Notes:
s #ALCULATIONRESULTSFROMTHEFUNCTIONSINDICATEDBELOWAREAUTOMATICALLY
STOREDINTHE8OR9MEMORIESREPLACINGANYEXISTINGVALUES
s rθ, xy8MEMORYror x9MEMORYθor y)
s 4WOx|VALUESFROMAQUADRATICREGRESSIONCALCULATIONIN34!4MODE
8MEMORY9MEMORY
s 5SEOFtor ;WILLRECALLTHEVALUESTOREDINMEMORYUSINGUPTO
14 digits.
s !&89MEMORYCANNOTBEUSEDIN#/-0,%8MODE
Definable memories (D1–D3)
9OUCANSTOREFUNCTIONSOROPERATIONSINDElNABLEMEMORIES$n$
s 4OSTOREAFUNCTIONOROPERATIONPRESSxFOLLOWEDBYADElNABLE
MEMORYKEYI, J, or KFOLLOWEDBYTHEOPERATIONYOU
WANTTOSTORE-ENURELATEDOPERATIONSSUCHAS@J, cannot be
stored. Press jTORETURNTOTHEPREVIOUSDISPLAY
s 4OCALLASTOREDFUNCTIONOROPERATIONPRESSTHECORRESPONDINGMEMORY
KEY#ALLINGASTOREDFUNCTIONWILLNOTWORKIFTHEFUNCTIONTHATISCALLED
WOULDBEUNUSABLEINTHECURRENTCONTEXT
s !NYFUNCTIONSOROPERATIONSTHATARESTOREDINADElNABLEMEMORYWILL
BEREPLACEDWHENYOUSAVEANEWONEINTOTHATMEMORY
s &UNCTIONSCANNOTBESAVEDINADElNABLEMEMORYFROMTHESIMULATION
CALCULATIONSANDSOLVERFUNCTIONSOF./2-!,MODEORFROMTHEITEM
ANDVALUEINPUTSCREENSOFOTHERMODES
Memory List
Press
;
9
TODISPLAYALISTOFTHEVALUESSAVEDINMEMORY
4HEVALUESARESHOWNINACHARACTERRANGE
!PPLICABLEMEMORIES!"#$%&89-
s )N#/-0,%8MODEONLY-MEMORYISDISPLAYED
Chain Calculations 15
4HEPREVIOUSCALCULATIONRESULTCANBEUSEDINTHESUBSEQUENT
CALCULATION(OWEVERITCANNOTBERECALLEDAFTERENTERINGMULTIPLE
INSTRUCTIONSORWHENTHECALCULATIONRESULTISINMATRIXVECTORFORMAT
Fraction Calculations 16
!RITHMETICOPERATIONSANDMEMORYCALCULATIONSCANBEPERFORMEDUSING
FRACTIONS)N./2-!,MODECONVERSIONBETWEENADECIMALNUMBERAND
AFRACTIONCANBEPERFORMEDBYPRESSINGU.
Notes:
s )MPROPERPROPERFRACTIONSWILLBECONVERTEDTOANDDISPLAYEDASDECIMAL
NUMBERSIFTHENUMBEROFDIGITSUSEDINTHEIREXPRESSIONISGREATER
THANNINE)NTHECASEOFMIXEDFRACTIONSTHEMAXIMUMNUMBEROF
DISPLAYABLEDIGITSINCLUDINGINTEGERSISEIGHT
s 4OCONVERTASEXAGESIMALVALUETOAFRACTIONlRSTCONVERTITBYPRESSING
@:.
Binary, Pental, Octal, Decimal, and Hexadecimal
Operations (N-base) 17
#ONVERSIONSCANBEPERFORMEDBETWEEN.BASENUMBERSIN./2-!,
MODE4HEFOURBASICARITHMETICOPERATIONSCALCULATIONSWITH
PARENTHESESANDMEMORYCALCULATIONSCANALSOBEPERFORMEDALONGWITH
THELOGICALOPERATIONS!.$/2./4.%'8/2AND8./2ONBINARY
PENTALOCTALANDHEXADECIMALNUMBERS
.OTE 4HEHEXADECIMALNUMBERS!n&AREENTEREDBYPRESSINGm
A
,
*
B
, AC
, lD
, iE
, and H
F
.
)NTHEBINARYPENTALOCTALANDHEXADECIMALSYSTEMSFRACTIONALPARTS
CANNOTBEENTERED7HENADECIMALNUMBERHAVINGAFRACTIONALPART
ISCONVERTEDINTOABINARYPENTALOCTALORHEXADECIMALNUMBERTHE
FRACTIONALPARTWILLBETRUNCATED,IKEWISEWHENTHERESULTOFABINARY
PENTALOCTALORHEXADECIMALCALCULATIONINCLUDESAFRACTIONALPART
THEFRACTIONALPARTWILLBETRUNCATED)NTHEBINARYPENTALOCTALAND
HEXADECIMALSYSTEMSNEGATIVENUMBERSAREDISPLAYEDASACOMPLEMENT
Time, Decimal, and Sexagesimal Calculations 18
9OUCANCONVERTBETWEENDECIMALANDSEXAGESIMALNUMBERSANDFROM
SEXAGESIMALNUMBERSTOSECONDSORMINUTES)NADDITIONTHEFOURBASIC
ARITHMETICOPERATIONSANDMEMORYCALCULATIONSCANBEPERFORMEDUSING
THESEXAGESIMALSYSTEM.OTATIONFORSEXAGESIMALISASFOLLOWS
Degree Minute Second
Coordinate Conversions 19
s "EFOREPERFORMINGACALCULATIONSELECTTHEANGULARUNIT
s 4HERESULTSOFCOORDINATECONVERSIONSWILLBEDISPLAYEDASDECIMAL
NUMBERSEVENINTHE7RITE6IEWEDITOR
Rectangular coord. Polar coord.
Physical Constants and Metric Conversions 20
Calculations using physical constants
4ORECALLACONSTANTPRESS;:THENSELECTAPHYSICALCONSTANT
FROMTHELIST%ACHITEMISLABELEDWITHADIGITNUMBER
s 4OSCROLLUPORDOWNTHELISTOFCONSTANTSPRESSu(l) or d(r).
Use @u(l) or @d(rTOJUMPTOTHElRSTOR
LASTPAGE
s %NTERTHElRSTDIGITOFTHEDIGITITEMNUMBERTOJUMPTOTHEPAGE
CONTAININGTHENUMBERTHATBEGINSWITHTHATDIGIT
s 7HENYOUENTERTHESECONDDIGITTHECONSTANTISDISPLAYED
AUTOMATICALLYACCORDINGTOTHEDISPLAYANDDECIMALPLACEMENTSETTINGS
s 0HYSICALCONSTANTSCANBERECALLEDIN./2-!,EXCLUDING.BASE
3 4!4 # / - 0 , % 8 - !42)86%#4/2AND%15!4)/.MODES
Note: Physical constants and metric conversions are based on the
#/$!4!RECOMMENDEDVALUESORONTHE%DITION
OFTHEh'UIDEFORTHE5SEOFTHE)NTERNATIONAL3YSTEMOF5NITS
3)vRELEASEDBY.)34.ATIONAL)NSTITUTEOF3TANDARDSAND
Technology).
No. Constant No. Constant
01
04
05
06
07
09
10
11
14
15
16
17
19
3PEEDOFLIGHTINVACUUM
.EWTONIANCONSTANTOFGRAVITATION
Standard acceleration of gravity
Electron mass
Proton mass
Neutron mass
Muon mass
!TOMICMASSUNITKILOGRAM
RELATIONSHIP
Elementary charge
0LANCKCONSTANT
"OLTZMANNCONSTANT
Magnetic constant
Electric constant
Classical electron radius
&INESTRUCTURECONSTANT
Bohr radius
Rydberg constant
-AGNETICmUXQUANTUM
Bohr magneton
Electron magnetic moment
Nuclear magneton
Proton magnetic moment
Neutron magnetic moment
Muon magnetic moment
#OMPTONWAVELENGTH
0ROTON#OMPTONWAVELENGTH
40
41
44
45
46
47
49
50
51
3TEFAN"OLTZMANNCONSTANT
Avogadro constant
Molar volume of ideal gas
+K0A
Molar gas constant
Faraday constant
6ON+LITZINGCONSTANT
%LECTRONCHARGETOMASSQUOTIENT
Quantum of circulation
Proton gyromagnetic ratio
*OSEPHSONCONSTANT
Electron volt
#ELSIUS4EMPERATURE
Astronomical unit
Parsec
-OLARMASSOFCARBON
0LANCKCONSTANTOVERPI
Hartree energy
#ONDUCTANCEQUANTUM
)NVERSElNESTRUCTURECONSTANT
0ROTONELECTRONMASSRATIO
Molar mass constant
.EUTRON#OMPTONWAVELENGTH
First radiation constant
Second radiation constant
#HARACTERISTICIMPEDANCEOFVACUUM
3TANDARDATMOSPHERE
Metric conversions
%NTERAVALUETOBECONVERTEDTHENPRESS;L, and select a metric
CONVERSIONBYENTERINGITSDIGITNUMBER
s 4HEMETRICCONVERSIONLISTISUSEDINTHESAMEMANNERASTHELISTOF
PHYSICALCONSTANTS
s 5NITCONVERSIONSCANBEPERFORMEDIN./2-!,EXCLUDING.BASE
34!4-!42)86%#4/2AND%15!4)/.MODES
No. 2EMARKS No. 2EMARKS
01 in : inch
mOZ53 mUIDOUNCE
(US)
cm : centimeter M, MILLILITER
ft : foot mOZ5+ mUIDOUNCE5+
04 m : meter M, MILLILITER
05 yd : yard calth : calorieth
06 m : meter J : joule
07 mi : mile cal15 CALORIE#
KM KILOMETER J : joule
09 n mi : nautical mile calIT : calorieIT
10 m : meter J : joule
11 acre : acre*1 HP
HORSEPOWER5+
m SQUAREMETER 7 WATT
OZ
:
OUNCEAVOIRDUPOIS
PS
HORSEPOWERMETRIC
14 g : gram 7 WATT
15 lb
POUNDAVOIRDUPOIS
KGFCM)
16 KG KILOGRAM 0A PASCAL
17 &
: degree Fahrenheit
ATM ATMOSPHERE
# DEGREE#ELSIUS 40 0A PASCAL
19 gal (US) : gallon (US) 41 (1 mmHg = 1 Torr)
, LITER 0A PASCAL
GAL5+ GALLON5+ KGFqM
, LITER 44 .qM NEWTONMETER
*1 based on US survey foot
Calculations Using Engineering Prefixes 21
#ALCULATIONCANBEEXECUTEDIN./2-!,MODEEXCLUDING.BASEUSING
THEFOLLOWINGTYPESOFPRElXES
0RElX Unit 0RElX Unit
K
M
'
T
KILO
(Mega)
'IGA
(Tera)
10
106
109
10
m
μ
n
P
f
(milli)
(micro)
(nano)
PICO
(femto)
10n
10n
10n
10n
10n
Modify Function 22
$ECIMALCALCULATIONRESULTSAREINTERNALLYOBTAINEDINSCIENTIlCNOTATION
WITHUPTODIGITSINTHEMANTISSA(OWEVERSINCECALCULATIONRESULTSARE
DISPLAYEDINTHEFORMDESIGNATEDBYTHEDISPLAYNOTATIONANDTHENUMBER
OFDECIMALPLACESINDICATEDTHEINTERNALCALCULATIONRESULTMAYDIFFERFROM
THATSHOWNINTHEDISPLAY"YUSINGTHEMODIFYFUNCTION@n),
THEINTERNALVALUEISCONVERTEDTOMATCHTHATOFTHEDISPLAYSOTHATTHE
DISPLAYEDVALUECANBEUSEDWITHOUTCHANGEINSUBSEQUENTOPERATIONS
s 7HENUSINGTHE7RITE6IEWEDITORIFTHECALCULATIONRESULTISDISPLAYED
USINGFRACTIONSORIRRATIONALNUMBERSPRESSUto convert it to
DECIMALFORMlRST
s 4HEMODIFYFUNCTIONCANBEUSEDIN./2-!,34!4-!42)8OR
6%#4/2MODES
The Line Editor
Entry and display
)NTHE,INEEDITORYOUCANENTERANDDISPLAYEQUATIONSLINEBYLINE
Notes:
s 5PTOTHREELINESOFTEXTMAYBEVIEWEDONTHESCREENATONETIME
s )NTHE,INEEDITORCALCULATIONRESULTSAREDISPLAYEDINDECIMALFORM
ORLINEFRACTIONNOTATIONIFPOSSIBLE
s 5SEUTOSWITCHTHEDISPLAYFORMATTOFRACTIONALFORMORDECIMAL
FORMIFPOSSIBLE
Editing the Equation
*USTAFTEROBTAININGANANSWERPRESSINGlbrings you to the end
OFTHEEQUATIONANDPRESSINGrbrings you to the beginning. Press
l, r, u, or dto move the cursor. Press @l
or @rTOJUMPTHECURSORTOTHEBEGINNINGORTHEENDOFTHE
EQUATION
Back space and delete key
To delete a number or function, move the cursor to the right of it, then
PRESSN9OUCANALSODELETEANUMBERORFUNCTIONTHATTHECURSORIS
DIRECTLYOVERBYPRESSING@y.
.OTE )NAMULTILEVELMENUYOUCANPRESSNTOBACKTOTHE
PREVIOUSMENULEVEL
MATH Menu
/THERFUNCTIONSMAYBEAVAILABLEONTHISCALCULATORBESIDESTHOSE
PRINTEDONTHEKEYPAD4HESEFUNCTIONSAREACCESSEDUSINGTHE-!4(
menu. The MATH menu has different contents for each mode.
Press NTODISPLAYTHE-!4(MENU
Note: The NKEYCANNOTBEUSEDINTHESIMULATIONCALCULATIONSAND
SOLVERFUNCTIONSOF./2-!,MODEORINTHEITEMANDVALUE
INPUTSCREENSOFOTHERMODES
Multi-line Playback Function 5
4HISCALCULATORISEQUIPPEDWITHAFUNCTIONTORECALLPREVIOUSEQUATIONS
ANDANSWERSIN./2-!,OR#/-0,%8MODES0RESSINGuWILL
DISPLAYTHEPREVIOUSEQUATION4HENUMBEROFCHARACTERSTHATCANBE
SAVEDISLIMITED7HENTHEMEMORYISFULLSTOREDEQUATIONSWILLBE
DELETEDTOMAKEROOMSTARTINGWITHTHEOLDEST
s 4OEDITANEQUATIONAFTERRECALLINGITPRESSlor r.
s 4HEMULTILINEMEMORYWILLBECLEAREDBYTHEFOLLOWINGOPERATIONS
@ZMODECHANGE2%3%4.BASECONVERSIONANGULARUNIT
conversion, editor change (@J200, @J
201or @J21), and memory clear
(@P10).
Priority Levels in Calculation
4HISCALCULATORPERFORMSOPERATIONSACCORDINGTOTHEFOLLOWINGPRIORITY
1Fractions (1m4, etc.) ∠%NGINEERINGPRElXES Functions
PRECEDEDBYTHEIRARGUMENTx−1, x, n!,(%), etc.) 4yx, xr5)MPLIED
MULTIPLICATIONOFAMEMORYVALUE9ETC
6&UNCTIONSFOLLOWEDBYTHEIRARGUMENTSINCOS−), etc.) 7)MPLIED
MULTIPLICATIONOFAFUNCTIONSIN! 1
⎯
4, etc.) N#RN0R'#$,#-
cv 9×, ÷, int÷
10
+, −
11
AND
/28/28./2
=, M+, M−,
M, Ź$%'ŹRAD, Ź'2!$ rθ, xy, and other calculation
ending instructions
s )FPARENTHESESAREUSEDPARENTHESIZEDCALCULATIONSHAVE
PRECEDENCEOVERANYOTHERCALCULATIONS
SCIENTIFIC CALCULATIONS
Arithmetic Operations 6
s 4HECLOSINGPARENTHESIS)just before =or mmay be
omitted.
Constant Calculations 7
s )NCONSTANTCALCULATIONSTHEADDENDBECOMESACONSTANT
3UBTRACTIONANDDIVISIONAREPERFORMEDINTHESAMEMANNER&OR
MULTIPLICATIONTHEMULTIPLICANDBECOMESACONSTANT
s )NCONSTANTCALCULATIONSCONSTANTSWILLBEDISPLAYEDAS+
s
#ONSTANTCALCULATIONSCANBEPERFORMEDIN./2-!,OR34!4MODES
Conversion to Engineering notation 8
9OUCANUSE;<or ;>to convert the calculation result
to engineering notation.
s 0RESS;<TODECREASETHEEXPONENT0RESS;>to
INCREASETHEEXPONENT
s 4HESETTINGS&3%INTHE3%450MENUDONOTCHANGE
Functions 9
s 2EFERTOTHECALCULATIONEXAMPLESFOREACHFUNCTION
s )NTHE,INEEDITORTHEFOLLOWINGSYMBOLSAREUSED
s TOINDICATEANEXPRESSIONSPOWERm, @", @
Y)
s TOSEPARATEINTEGERSNUMERATORSANDDENOMINATORSW,
@k)
s 7HENUSING@Oor @WINTHE,INEEDITORVALUESARE
ENTEREDINTHEFOLLOWINGWAY
s LOGNbase, value)
s ABSvalue
Integral/Differential Functions 10
)NTEGRALANDDIFFERENTIALCALCULATIONSCANBEPERFORMEDIN./2-!,
mode.
.OTE 3INCEINTEGRALANDDIFFERENTIALCALCULATIONSAREPERFORMED
BASEDONTHEFOLLOWINGEQUATIONSCORRECTRESULTSMAYNOT
BEOBTAINEDINCERTAINRARECASESWHENPERFORMINGSPECIAL
CALCULATIONSTHATCONTAINDISCONTINUOUSPOINTS
)NTEGRALCALCULATION3IMPSONSRULE
( )
h
=
b−a
⎯
N
a
≤
x
≤
b
N
=
n
S
=
1
⎯
h{f(a)
+
4{f(a
+
h)
+
f(a
+
h)
+
...
+
f(a
+
(N
−
1)h)}
+
[f(a
+
h)
+
f(a
+
4h)
+
...
+
f(a
+
(N
−
h)}
+
f(b)}
Differential calculation:
f´(x)
=
f(x
+
dx
⎯
)
−
f(x
−
dx
⎯
)
—
dx
Various functions 23
s 2EFERTOTHECALCULATIONEXAMPLESFOREACHFUNCTION
GCD (the Greatest Common Divisor)
7HATISTHE'#$OF
AND j24
@=36
=12.
LCM (the Least Common Multiple)
7HATISTHE,#-OF
AND j15
@?9
=45.
int÷
s v1vINDICATESh1UOTIENTvANDh2vINDICATESh2EMAINDERv
s 0RESSING@6CANNOTBEFOLLOWEDBYPRESSINGAKEYFOR
ANOTHEROPERATIONSUCHASn¾¿OTHERWISEANERRORWILLRESULT
s 4HEQUOTIENTANDREMAINDERARESHOWNINh./2-vFORMAT)FNOT
ALLDIGITSCANBEDISPLAYEDINh./2-vFORMATNORMALDIVISIONIS
PERFORMED
ipart
2ETURNSONLYTHEINTEGERPARTOFADECIMALNUMBER
fpart
2ETURNSONLYTHEFRACTIONPARTOFADECIMALNUMBER
int
2ETURNSTHEHIGHESTINTEGERVALUETHATDOESNOTEXCEEDTHEVALUE
SPECIlED
(%)
7HENSPECIlEDIMMEDIATELYAFTERAVALUETHEVALUEISTREATEDASA
PERCENTAGE
Note: For calculation using @
a
, refer to the calculation
EXAMPLES.O9OUCANUSE@
a
TOPERFORMPREMIUM
discount, and other calculations.
Prime Factorization 24
)N./2-!,MODETHECALCULATIONRESULTCANBESHOWNASAPRODUCT
OFPRIMENUMBERS
s!POSITIVEINTEGERGREATERTHANANDNOMORETHANDIGITSCANBE
FACTOREDINTOPRIMES
s!NUMBERTHATCANNOTBEFACTOREDINTOAPRIMENUMBERWITHDIGITS
ORSHORTERISSHOWNINPARENTHESES
s4HECALCULATIONRESULTOFPRIMEFACTORIZATIONISDISPLAYEDACCORDINGTO
THEEDITORSETTING76)%7OR,).%
s 4HECALCULATIONRESULTOFPRIMEFACTORIZATIONMAYEXTENDOFFTHE
EDGESOFTHESCREEN9OUCANSEETHOSEPARTSBYPRESSINGlor
r4OJUMPTOTHELEFTENDORRIGHTENDPRESS@lor @
r.
Simulation Calculation (ALGB) 25
)FYOUHAVETOlNDVALUESCONSECUTIVELYUSINGTHESAMEEXPRESSION
SUCHASPLOTTINGACURVELINEFORxORlNDINGTHEVARIABLEVALUES
FORxyONCEYOUENTERTHEEXPRESSIONALLYOUHAVETODOISTO
SPECIFYTHEVALUEFORTHEVARIABLEINTHEEQUATION
5SABLEVARIABLES!n&-8AND9
s 3IMULATIONCALCULATIONSCANONLYBEEXECUTEDIN./2-!,MODE
s #ALCULATIONENDINGINSTRUCTIONSOTHERTHAN=cannot be used.
Performing calculations
1. Press b0.
)NPUTANEXPRESSIONWITHATLEASTONEVARIABLE
0RESS@2.
4HEVARIABLEENTRYSCREENWILLAPPEAR%NTERAVALUETHENPRESS
eTOCONlRM
s !FTERCOMPLETINGTHECALCULATIONPRESS@2TOPERFORM
CALCULATIONSUSINGTHESAMEEQUATION
Solver Function 26
4HESOLVERFUNCTIONlNDSTHEVALUEFORxthat reduces the entered
EXPRESSIONTOZERO
s 4HISFUNCTIONUSES.EWTONSMETHODTOOBTAINANAPPROXIMATION
$EPENDINGONTHEFUNCTIONEGPERIODICORSTARTVALUEANERROR
MAYOCCUR%22/2DUETOTHEREBEINGNOCONVERGENCETOTHE
SOLUTIONFORTHEEQUATION
s 4HEVALUEOBTAINEDBYTHISFUNCTIONMAYINCLUDEAMARGINOFERROR
s #HANGETHEh3TARTvVALUEEGTOANEGATIVEVALUEORdx value (e.g.
to a smaller value) if:
s NOSOLUTIONCANBEFOUND%22/2
s
MORETHANTWOSOLUTIONSAPPEARTOBEPOSSIBLEEGACUBICEQUATION
.
s TOIMPROVEARITHMETICPRECISION
s 4HECALCULATIONRESULTISAUTOMATICALLYSTOREDINTHE8MEMORY
s 0RESSjTOEXITTHESOLVERFUNCTION
Performing solver function
1. Press b0.
)NPUTANEXPRESSIONWITHANxvariable.
0RESS@3.
%NTERAh3TARTvVALUEANDPRESSe4HEDEFAULTVALUEIShv
5. Enter a
dxvalue (minute interval).
6. Press e.
Entry value
$%' MULTIPLESOF
RAD MULTIPLESOF 1
⎯
π
'2!$ MULTIPLESOF50
⎯
y
x
b
xx
xx
a
0
13
2
y
ab
xx
x
x
x
1
0
2
3
3#)%.4)&)##!,#5,!4/R
OPERATION MANUAL
EL-W506T
EL-W516T
EL-W516XG
-/$%,
ENGLISH
STATISTICAL CALCULATIONS 27 28
3TATISTICALCALCULATIONSCANBEPERFORMEDIN34!4MODE
4HEREAREEIGHTSUBMODESWITHIN34!4MODE0RESSb1, then
PRESSTHENUMBERKEYTHATCORRESPONDSTOYOURCHOICE
0(SD3INGLEVARIABLESTATISTICS
1(a+bx,INEARREGRESSION
2(a+bx+cx2): Quadratic regression
3(ae^bx%ULEREXPONENTIALREGRESSION
4(a+blnx,OGARITHMICREGRESSION
5(ax^b0OWERREGRESSION
6(a+b/x): Inverse regression
7(ab^x'ENERALEXPONENTIALREGRESSION
4HESTATISTICALDATAINPUTSCREENAPPEARS
!FTERENTERINGSTATISTICALDATAFROMTHEINPUTSCREEN
PRESS
_
or j
ANDCLOSETHEINPUTTABLE
9OUCANTHENCHECKSTATISTICALVALUESFROMTHE
STAT menu
(
;8
)
ANDSPECIFYSTATISTICALVARIABLES
D
ata Entry and Correction
Data entry
%NTRYlELD
3INGLEVARIABLEDATATABLE 4WOVARIABLEDATATABLE
s !FTERENTERINGTHEDATA
PRESS
e
4HEINPUTISlNALIZEDANDTHE
CURSORMOVESTOTHENEXTLINE)FDATAWASNOTENTEREDINANxor y, 0 is
ENTEREDISENTEREDIN&21FREQUENCYANDTHECURSORMOVESTOTHE
NEXTLINE
s
9OUCANUSE
H
TOENTER8AND&21OR89AND&21ATONCE
s )NTHEINPUTTABLEUPTODIGITSAREDISPLAYEDFOREACHVALUE
INCLUDINGTHESIGNANDDECIMALPOINT!NYVALUESTHATEXCEEDDIGITS
INLENGTHAREDISPLAYEDINEXPONENTNOTATION
s
5PTODATAITEMSCANBEENTERED7ITHSINGLEVARIABLEDATA
ADATAITEMWITHANASSIGNEDFREQUENCYOFONEISCOUNTEDASONE
DATAITEMWHILEANITEMWITHANASSIGNEDFREQUENCYOFORHIGHER
ISSTOREDASASETOFTWODATAITEMS7ITHTWOVARIABLEDATAASETOF
DATAITEMSWITHANASSIGNEDFREQUENCYOFONEISCOUNTEDASTWODATA
ITEMSWHILEASETOFITEMSWITHANASSIGNEDFREQUENCYOFORHIGHER
is stored as a set of three data items.
s 4OEXECUTESTATISTICALCALCULATIONPRESS
_
or jand close the
INPUTTABLE
Data correction
Use l, r, u, or dto move the cursor and select the
desired data. Press @uor @dTOJUMPTHECURSORTOTHE
beginning or end of the data.
Data correction
-OVETHECURSORTOTHEDATATHATYOUWANTTOCORRECTENTERTHENUMERIC
VALUEANDPRESSe.
Data insertion
4OINSERTALINEINFRONTOFTHECURSORPOSITIONPRESS
;
T.
4HEINITIALVALUESENTEREDINTHEINSERTEDDATAAREINXANDYAND
in FRQ.
Data deletion
4ODELETETHEENTIRELINEWHERECURSORISPOSITIONEDPRESS@y.
Notes:
s )N34!4MODEALLSTATISTICALDATAWILLBEERASEDIFTHESUBMODEIS
changed or
@
Z
ISPRESSED
s )N34!4MODEPRESS
_
TODISPLAYTHEINPUTTABLE
Statistical Calculations and Variables
4HEFOLLOWINGSTATISTICSCANBEOBTAINEDFOREACHSTATISTICALCALCULATION
REFERTOTHETABLEBELOW
Single-variable statistical calculation
Statistics of 1, ANDTHEVALUEOFTHENORMALPROBABILITYFUNCTION.
Linear regression calculation
Statistics of 1, and 4. In addition, the estimate of
y
for a given
x
(estimate
y
´) and the estimate of
x
for a given
y
(estimate
x
´).
Quadratic regression calculation
Statistics of 1, and 4!NDCOEFlCIENTS
a
,
b
,
c
INTHEQUADRATIC
regression formula (
y
=
a
bx
cx
2
&ORQUADRATICREGRESSION
CALCULATIONSNOCORRELATIONCOEFlCIENT
r
) can be obtained.)
7HENTHEREARETWO
x
|VALUESEACHVALUEWILLBEDISPLAYEDWITHhvOR
hvANDSTOREDSEPARATELYINTHE8AND9MEMORIES
9OUCANALSOSPECIFYTHESTVALUExANDTHENDVALUExSEPARATELY
Euler exponential regression, logarithmic regression,
power regression, inverse regression,
and general exponential regression calculations
Statistics of 1, and 4. In addition, the estimate of
y
for a given
x
and the estimate of
x
for a given
y
. (Since the calculator converts
each formula into a linear regression formula before actual calculation
TAKESPLACEITOBTAINSALLSTATISTICSEXCEPTCOEFlCIENTSaand b, from
converted data rather than entered data.)
1
n
.UMBEROFSAMPLES
x
n-EANOFSAMPLES
x
data
)
sx 3AMPLESTANDARDDEVIATION
x
data
)
sx3AMPLEVARIANCE
x
data)
Vx0OPULATIONSTANDARDDEVIATION
x
data
)
Vx
0OPULATIONVARIANCE
x
data)
Ȉ
x3UMOFSAMPLES
x
data
)
Ȉ
x3UMOFSQUARESOFSAMPLES
x
data
)
xmin -INIMUMVALUEOFSAMPLES
x
data
)
xmax -AXIMUMVALUEOFSAMPLES
x
data
)
y
n
-EANOFSAMPLES
y
data
)
sy
3AMPLESTANDARDDEVIATION
y
data
)
sy3AMPLEVARIANCE
(
y
data)
Vy
0OPULATIONSTANDARDDEVIATION
y
data
)
Vy
0OPULATIONVARIANCE
(
y
data)
Ȉ
y3UMOFSAMPLES
(
y
data
)
Ȉ
y3UMOFSQUARESOFSAMPLES
(
y
data
)
Ȉ
xy3UMOFPRODUCTSOFSAMPLES
x,
y
)
Ȉ
xy3UMOFPRODUCTSOFSAMPLES
(
x
,
y
)
Ȉ
x3UMOFRDPOWERSOFSAMPLES
(
x
data
)
Ȉ
x43UMOFTHPOWERSOFSAMPLES
(
x
data
)
ymin -INIMUMVALUEOFSAMPLES
(
y
data
)
ymax -AXIMUMVALUEOFSAMPLES
(
y
data
)
Q
1
&IRSTQUARTILEOFSAMPLE
(
x
data
)
Med
-EDIANOFSAMPLE
(
x
data
)
Q
4HIRDQUARTILEOFSAMPLE
(
x
data
)
4
r
#ORRELATIONCOEFFICIENT%XCEPT1UADRATICREGRESSION
a#OEFFICIENTOFREGRESSIONEQUATION
b#OEFFICIENTOFREGRESSIONEQUATION
c#OEFFICIENTOFQUADRATICREGRESSIONEQUATION
R
Coefficient of determination (Quadratic regression)
r
#OEFFICIENTOFDETERMINATION%XCEPT1UADRATICREGRESSION
STAT Menu
!FTERCLOSINGTHEINPUTTABLEYOUCANVIEWSTATISTICALVALUESVIEW
REGRESSIONCOEFlCIENTVALUESANDSPECIFYSTATISTICALVARIABLESFROMTHE
STAT menu (
;8
).
;
8
0$ISPLAYSTATISTICALVALUES
;
8
1$ISPLAYREGRESSIONCOEFlCIENTVALUES
;
8
23PECIFYSTATISTICALVALUEVARIABLES
;
8
3:
3PECIFYSTATISTICALVALUE
Ȉ
related) variables
;
8
43PECIFYMAXMINVALUEVARIABLES
;
8
53PECIFYREGRESSIONCOEFlCIENTVARIABLES
Notes:
s ,ISTDISPLAYOFREGRESSIONCOEFlCIENTVALUESANDSPECIlCATIONOF
REGRESSIONCOEFlCIENTVARIABLESDONOTAPPEARINSINGLEVARIABLE
statistical calculation.
s
Estimated values
x
’ and
y
ARESPECIlEDWITHTHEKEYS@
V
, @
U
)FTHEREARETWO
x
VALUESYOUCANSPECIFY
x
1’ and
x
FROMTHE34!4
menu (
;
8
5TOOBTAINTHEVALUESSEPARATELY
s )NTHESTATISTICALVALUEANDREGRESSIONCOEFlCIENTVALUELISTSYOUCANNOT
RETURNTOTHEMENUBYPRESSINGN.
Statistical Calculation Formulas 29
!NERRORWILLOCCURWHEN
s The absolute value of the intermediate result or calculation result is
EQUALTOORGREATERTHAN×10100.
s 4HEDENOMINATORISZERO
s !NATTEMPTISMADETOTAKETHESQUAREROOTOFANEGATIVENUMBER
s .OSOLUTIONEXISTSINTHEQUADRATICREGRESSIONCALCULATION
Normal Probability Calculations 30
)N34!4MODETHETHREEPROBABILITYDENSITYFUNCTIONSCANBEACCESSED
UNDERTHE-!4(MENUWITHARANDOMNUMBERUSEDASANORMAL
distribution variable.
Notes:
s 0T1TAND2TWILLALWAYSTAKEPOSITIVEVALUESEVENWHENT
BECAUSETHESEFUNCTIONSFOLLOWTHESAMEPRINCIPLEUSEDWHENSOLVING
for an area.
s 6ALUESFOR0T1TAND2TAREGIVENTOSIXDECIMALPLACES
s 4HESTANDARDIZATIONCONVERSIONFORMULAISASFOLLOWS
t= x−x
—
σx
TABLE MODE 31
9OUCANSEETHECHANGESINVALUESOFONEORTWOFUNCTIONSUSING4!",%
mode.
Setting a table
1. Press b
2
TOENTER4!",%MODE
%NTERAFUNCTION&UNCTIONANDPRESS
e
.
)FNEEDEDENTERTHENDFUNCTION&UNCTIONANDPRESS
e
.
%NTERASTARTINGVALUE8?3TARTANDPRESS
e
.
The default starting value is 0.
%NTERASTEPVALUE8?3TEP4HEDEFAULTSTEPVALUEIS
s 9OUCANUSEuand dTOMOVETHECURSORBETWEENTHESTARTING
VALUEANDSTEPVALUE
6. Press eWHENYOUlNISHENTERINGASTEPVALUE!TABLEWITHA
VARIABLE8ANDTHECORRESPONDINGVALUES!.3COLUMNAPPEARS
DISPLAYINGLINESBELOWTHESTARTINGVALUE
)FYOUENTEREDTWOFUNCTIONSTHE!.3AND!.3COLUMNSAPPEAR
9OUCANUSEuand dTOCHANGETHE8VALUEANDSEEITS
CORRESPONDINGVALUESINTABLEFORMAT
s 4HETABLEISFORDISPLAYONLYANDYOUCANNOTEDITTHETABLE
s 4HEVALUESAREDISPLAYEDUPTODIGITSINCLUDINGSIGNSANDADECIMAL
POINT
s
Press l
or rTOMOVETHECURSORTO!.3COLUMN!.3AND!.3
COLUMNSIFYOUENTEREDTWOFUNCTIONSOR8COLUMN
s
&ULLDIGITSOFTHEVALUEONTHECURSORAREDISPLAYEDONTHEBOTTOMRIGHT
Notes:
s )NAFUNCTIONONLYh8vCANBEUSEDASAVARIABLEANDOTHERVARIABLES
are all regarded as numbers (stored into the variables).
s )RRATIONALNUMBERSSUCHASrand πcan also be entered into a starting
VALUEORASTEPVALUE9OUCANNOTENTERORANEGATIVENUMBERASA
STEPVALUE
s 9OUCANUSE7RITE6IEWEDITORWHENINPUTTINGAFUNCTION
s 4HEFOLLOWINGFEATURESARENOTUSEDIN4!",%MODECOORDINATE
CONVERSIONSCONVERSIONBETWEENDECIMALANDSEXAGESIMALNUMBERS
and angular unit conversions.
s
)TMAYTAKETIMETOMAKEATABLEORhvMAYBEDISPLAYEDDEPENDINGON
THEFUNCTIONENTEREDORCONDITIONSSPECIlEDFORTHEVARIABLE8
s 0LEASENOTETHATWHENMAKINGATABLETHEVALUESFORVARIABLE8ARE
REWRITTEN
s
Press @Zor mode selection to return to the initial screen of the
MODEANDRETURNTOTHEDEFAULTVALUESFORTHESTARTINGVALUEANDSTEPVALUE
.
COMPLEX NUMBER CALCULATIONS 32
4OCARRYOUTADDITIONSUBTRACTIONMULTIPLICATIONANDDIVISIONUSING
COMPLEXNUMBERSPRESSb3TOSELECT#/-0,%8MODE
2ESULTSOFCOMPLEXNUMBERCALCULATIONSAREEXPRESSEDUSINGTWO
systems:
1@E: Rectangular coordinate system
(The
SYMBOLAPPEARS
@u: Polar coordinate system
(The
SYMBOLAPPEARS
Complex Number Entry
1Rectangular coordinates
x-coordinate +y-coordinate O
or x-coordinate +Oy-coordinate
Polar coordinates
r@Qθ
r: absolute value θ: argument
s /NSELECTINGANOTHERMODETHEIMAGINARYPARTOFANYCOMPLEXNUMBER
STOREDINTHEINDEPENDENTMEMORY-ANDTHELASTANSWERMEMORY
!.3WILLBECLEARED
s !COMPLEXNUMBEREXPRESSEDINRECTANGULARCOORDINATESWITHTHE
YVALUEEQUALTOZEROOREXPRESSEDINPOLARCOORDINATESWITHTHEANGLE
EQUALTOZEROISTREATEDASAREALNUMBER
s
&ROMTHE-!4(MENUYOUCANOBTAINTHECOMPLEXCONJUGATECONJTHE
ARGUMENTOFACOMPLEXNUMBERARGTHEREALPARTOFACOMPLEXNUMBERREAL
ANDTHEIMAGINARYPARTOFACOMPLEXNUMBERIMG
EQUATION SOLVERS 33
The results obtained by these functions may include a margin of error.
Simultaneous Linear Equations
3IMULTANEOUSLINEAREQUATIONSWITHTWOUNKNOWNS6,%ORWITHTHREE
UNKNOWNS6,%MAYBESOLVEDUSINGTHEFOLLOWINGFUNCTIONS
16,%b40
a1xb1y= c1
axby= c
a1b1
ab
D=
6,%b41
a1xb1yc1z= d1
axbycz= d
axbycz= d
a1b1c1
abc
abc
D=
s )FTHEDETERMINANT$ANERROROCCURS
s )FTHEABSOLUTEVALUEOFANINTERMEDIATERESULTORCALCULATIONRESULTIS
×10100 or more, an error occurs.
Solving simultaneous linear equations
1. Press b40or b41.
%NTERTHEVALUEFOREACHCOEFlCIENTa1, etc.).
s #OEFlCIENTSCANBEENTEREDUSINGORDINARYARITHMETICOPERATIONS
s 4OCLEARTHEENTEREDCOEFlCIENTPRESSj.
s 0RESSuor dTOMOVETHECURSORUPORDOWNTHROUGHTHE
COEFlCIENTS0RESS@uor @dTOJUMPTOTHElRSTOR
LASTCOEFlCIENT
7HENALLCOEFlCIENTSHAVEBEENENTEREDPRESSeto solve the
EQUATION
s
7HILETHESOLUTIONISDISPLAYEDPRESSeor jto return to the
COEFlCIENTENTRYDISPLAY4OCLEARALLTHECOEFlCIENTSPRESS@Z.
Quadratic and Cubic Equations
Quadratic (ax2+bx+c=0) or cubic (ax3+bx2+cx +d=0)
EQUATIONSMAYBESOLVEDUSINGTHEFOLLOWINGFUNCTIONS
11UADRATICEQUATIONSOLVERb42
#UBICEQUATIONSOLVERb43
s
)FTHEREARETWOORMORESOLUTIONSTHOSESOLUTIONSAREALSOSHOWN
s )FCALCULABLEYOUCANALSOOBTAINTHEMINIMUMVALUEWHENAAND
THEMAXIMUMVALUEWHENAOFAQUADRATICFUNCTIONy= ax2+bx
+c) .
Solving quadratic and cubic equations
s 0RESSb42or b43.
s #OEFlCIENTSFORTHESEEQUATIONSCANBEENTEREDINTHESAMEMANNERAS
THOSEFORSIMULTANEOUSLINEAREQUATIONS
s 7HENUSINGTHE15!$2!4)#EQUATIONSOLVERCONTINUEBYPRESSING
e(or dTODISPLAYTHEMINIMUMVALUEORMAXIMUMVALUE4O
RETURNTOTHESOLUTIONPRESSuWITHTHEMINIMUMVALUEORMAXIMUM
VALUEDISPLAYED
s 4ORETURNTOTHECOEFlCIENTENTRYSCREENWHENTHESOLUTIONOR
MINIMUMMAXIMUMVALUEISDISPLAYEDPRESSeor j.
s 4OCLEARALLTHECOEFlCIENTSPRESS@Z.
MATRIX CALCULATIONS 34
9OUCANSTOREANDCALCULATEUPTOFOURMATRICES
Entering and Storing Matrices
1. Press b5TOENTER-!42)8MODE
0RESSN1TOBRINGUPTHEMATRIXENTRYSCREEN
s !NYMATRIXDATAREMAININGINTHEBUFFERALONGWITHANYPREVIOUSLY
ENTEREDLOADEDORCALCULATEDMATRIXDATAWILLBEDISPLAYED
$ElNETHEMATRIXDIMENSIONSUPTOFOURROWSBYFOURCOLUMNSBY
ENTERINGTHEREQUIREDDIMENSIONSUSINGTHENUMBERKEYSANDPRESSING
e.
-ATRIXDIMENSIONSROW×column)
%LEMENTlELDS
%NTRYlELD
-ATRIXENTRYSCREENEXAMPLE
%NTEREACHELEMENTINTHEMATRIXBYENTERINGAVALUEINTHEENTRYlELD
ANDPRESSINGe.
s %ACHMATRIXELEMENTCANDISPLAYUPTOSEVENDIGITSTHEDECIMAL
POINTCOUNTSASONEDIGIT)FANELEMENTEXCEEDSSEVENDIGITSIN
LENGTHITMAYBEDISPLAYEDINEXPONENTNOTATIONWITHINTHEMATRIX
s !MAXIMUMOFTHREEROWSBYTHREECOLUMNSCANBEDISPLAYEDAT
one time. Use u, d, l, and rto move the cursor
THROUGHTHEMATRIX
7HENYOUHAVEENTEREDAVALUEFOREACHELEMENTPRESSjTOEXIT
THEMATRIXENTRYSCREEN
6. Press N3ANDSELECTAMEMORYMAT!nMAT$TOSTORETHE
NEWLYCREATEDMATRIXIN
DISTRIBUTION FUNCTIONS
4HECALCULATORHASDISTRIBUTIONFEATURESTOlNDSTATISTICALCALCULATIONS
Press b7ANDSELECTTHETYPE./2-!,")./-).!,
0/)33/.ANDTHENSELECTTHEDESIREDDISTRIBUTIONFUNCTION
Note: Calculation results are stored in ANS memory.
Normal Distribution
Normal pdf
#ALCULATESTHEPROBABILITYDENSITYOFTHESPECIFIEDVALUEXFORTHENOR
MALDISTRIBUTIONWITHTHESPECIFIEDMEAN±ANDSTANDARDDEVIATION
ı
).
Normal cdf
#ALCULATESTHEPROBABILITYOFASPECIFIEDINTERVALSXXFORTHENORMAL
DISTRIBUTIONWITHTHESPECIFIEDMEAN±ANDSTANDARDDEVIATION
ı
).
Inverse Normal
Calculates the inverse cumulative normal distribution function for a
GIVENAREAAUNDERTHENORMALDISTRIBUTIONCURVESPECIFIEDBYMEAN±
and standard deviation (
ı
).
Binomial Distribution
Binomial pdf
#ALCULATESAPROBABILITYDENSITYATXFORTHEDISCRETEBINOMIAL
DISTRIBUTIONWITHTHESPECIlEDTRIALNUMBERNANDPROBABILITYOF
SUCCESSPONEACHTRIAL
Binomial cdf
#ALCULATESACUMULATIVEPROBABILITYATXFORTHEDISCRETEBINOMIAL
DISTRIBUTIONWITHTHESPECIlEDTRIALNUMBERNANDPROBABILITYOF
SUCCESSPONEACHTRIAL
Poisson Distribution
Poisson pdf
#ALCULATESAPROBABILITYATXFORTHE0OISSONDISTRIBUTIONWITHTHESPECI
fied mean (μ) .
Poisson cdf
#ALCULATESACUMULATIVEPROBABILITYATXFORTHE0OISSONDISTRIBUTION
WITHTHESPECIFIEDMEAN±
Find the nominal distribution
PROBABILITYDENSITYFORX
WHENTHENORMALDISTRIBUTION
of the test score averages is
WITHASTANDARDDEVIATION
of 6.
b
70
065 e60
e6
.ORMALPDF
x
:65
.
ȝ
:60
.
V
: 6_
eANS =
0
.
046985312
#ALCULATETHEPROBABILITYOF
RANGEXTOINTHE
ABOVESAMPLE
b
70
154 e66
e60 e6
Normal cdf
x
1
:54
.
x
:66
.
ȝ
:60
.
V
: 6_
eANS =
0
.
682689492
&INDTHEVALUEOFXFORTHE
PROBABILITYOFINTHE
ABOVESAMPLE
b
70
20
.
8e60
e6
Inverse Normal
a
:0
.
8
ȝ
:60
.
V
: 6_
eANS =
65
.
0497274
&INDTHEPROBABILITYDENSITY
FORTRIALSWITHXFOR
THEBINOMIALDISTRIBUTIONWITH
SUCCESSPROBABILITYOF
b
71
07e15
e0
.
3
"INOMIALPDF
x
:7
.
n
:15
.
p
: 0
.
3_
eANS =
0
.
081130033
#ALCULATETHEPROBABILITYOF
RANGEUPTOXSUCCESS
number) in the above
SAMPLE
b
71
17e15
e0
.
3
Binomial cdf
x
:7
.
n
:15
.
p
: 0
.
3_
eANS =
0
.
949987459
&INDTHEPROBABILITYDENSITY
OFXFORTHEMEANOFA
0OISSONDISTRIBUTIONOF
b
72
04e3
.
6
0OISSONPDF
x
:4
.
ȝ
: 3
.
6_
eANS =
0
.
191222339
&INDTHEPROBABILITYWITHIN
THERANGEUPTOX
b
72
14e3
.
6
Poisson cdf
x
:4
.
ȝ
: 3
.
6_
eANS =
0
.
706438449
DRILL MODE
Math Drill: b80
-ATHOPERATIONQUESTIONSWITHPOSITIVEINTEGERSANDAREDISPLAYED
RANDOMLY)TISPOSSIBLETOSELECTTHENUMBEROFQUESTIONSANDOPERATOR
TYPE
-ULTIPLICATION4ABLE×Table): b81
1UESTIONSFROMEACHROWOFTHEMULTIPLICATIONTABLETOARE
DISPLAYEDSERIALLYORRANDOMLY
4OEXIT$2),,MODEPRESSband select another mode.
Using Math Drill and ×Table
1. Press b80for Math Drill or b81for ×Tab l e .
Math Drill: Use uand dTOSELECTTHENUMBEROFQUESTIONS
50, or 100).
×Table : Use uand dTOSELECTAROWINTHEMULTIPLICATION
TABLETO
Math Drill: Use land rTOSELECTTHEOPERATORTYPEFOR
QUESTIONS+, −, ×, ÷, or +−×÷).
×Table : Use land rTOSELECTTHEORDERTYPEh3ERIALvOR
h2ANDOMv
4. Press eto start.
7HENUSING-ATH$RILLOR
×
4ABLERANDOMORDERONLYQUESTIONSARE
RANDOMLYSELECTEDANDWILLNOTREPEATEXCEPTBYCHANCE
%NTERYOURANSWER)FYOUMAKEAMISTAKEPRESSjor Nto clear
ANYENTEREDNUMBERSANDENTERYOURANSWERAGAIN
6. Press e.
s )FTHEANSWERISCORRECTh vAPPEARSANDTHENEXTQUESTIONIS
DISPLAYED
s )FTHEANSWERISWRONGh vAPPEARSANDTHESAMEQUESTIONIS
DISPLAYED4HISWILLBECOUNTEDASANINCORRECTANSWER
s )FYOUPRESSeWITHOUTENTERINGANANSWERTHECORRECTANSWER
ISDISPLAYEDANDTHENTHENEXTQUESTIONISDISPLAYED4HISWILLBE
COUNTEDASANINCORRECTANSWER
#ONTINUEANSWERINGTHESERIESOFQUESTIONSBYENTERINGTHEANSWER
ANDPRESSINGe.
!FTERYOUlNISHPRESSeANDTHENUMBERANDPERCENTAGEOF
CORRECTANSWERSAREDISPLAYED
9. Press eto return to the initial screen for your current drill.
Ranges of Math Drill Questions
4HERANGEOFQUESTIONSFOREACHOPERATORTYPEISASFOLLOWS
+Addition operator: “0 +vTOh+v
]Subtraction operator: “0 −vTOh−vANSWERSARE
POSITIVEINTEGERSAND
>Multiplication operator: “1 ×vORh×vTOh×v
)Division operator: “0 ÷vTOh÷vANSWERSAREPOSITIVE
INTEGERSFROMTOANDDIVIDENDSOFUPTOAND
DIVISORSOFUPTO
+]>) Mixed operators1UESTIONSWITHINALLTHEABOVERANGESARE
DISPLAYED
ERRORS AND CALCULATION RANGES
Errors
!NERRORWILLOCCURIFANOPERATIONEXCEEDSTHECALCULATIONRANGESORIF
AMATHEMATICALLYILLEGALOPERATIONISATTEMPTED7HENANERROROCCURS
PRESSINGlor rAUTOMATICALLYMOVESTHECURSORBACKTOTHEPLACE
INTHEEQUATIONWHERETHEERROROCCURRED%DITTHEEQUATIONORPRESSj
or @ZTOCLEARTHEEQUATION
Error codes and error types
%22/23YNTAXERROR
s !NATTEMPTWASMADETOPERFORMANINVALIDOPERATION
%X+&5 =
%22/2#ALCULATIONERROR
s 4HEABSOLUTEVALUEOFANINTERMEDIATEORlNALCALCULATIONRESULTEQUALS
OREXCEEDS100.
s !NATTEMPTWASMADETODIVIDEBYZEROORANINTERMEDIATECALCULATION
RESULTEDINZERO
s 4HECALCULATIONRANGESWEREEXCEEDEDWHILEPERFORMINGCALCULATIONS
s ORANEGATIVENUMBERWASENTEREDASASTEPVALUEIN4!",%MODE
4HEABSOLUTEVALUEOFASTARTINGVALUEORASTEPVALUEEQUALSOR
EXCEEDS100IN4!",%MODE
s 7HENTHENUMBERTOBEFACTOREDINTOPRIMESISGREATERTHANAND
OTHERTHANADIGITPOSITIVEINTEGERORWHENTHERESULTOFPRIME
FACTORIZATIONISANEGATIVENUMBERDECIMALFRACTIONr,or ʌ.
%22/2.ESTINGERROR
s 4HEAVAILABLENUMBEROFBUFFERSWASEXCEEDED4HEREAREBUFFERS
for numeric values and 64 buffers for calculation instructions).
* BUFFERSIN#/-0,%8MODEANDBUFFERFORMATRIXVECTORDATA
%22/2$ATAOVERERROR
s $ATAITEMSEXCEEDEDIN34!4MODE
%22/2$ElNITIONERROR
s -ATRIXDElNITIONERRORORTHEATTEMPTEDENTERINGOFANINVALIDVALUE
%22/2$)-UNMATCHEDERROR
s -ATRIXVECTORDIMENSIONSINCONSISTENTWHILECALCULATING
%22/25NDElNEDERROR
s 5NDElNEDMATRIXVECTORUSEDINCALCULATION
Alert Messages
Cannot delete!
s 4HESELECTEDITEMCANNOTBEDELETEDBYPRESSINGNor @y
INTHE7RITE6IEWEDITOR
%X*5 rAlN
)NTHISEXAMPLEDELETETHEEXPONENTBEFOREATTEMPTINGTODELETETHE
PARENTHESES
Cannot call!
s 4HEFUNCTIONOROPERATIONSTOREDINDElNABLEMEMORY$TO$
cannot be called.
%X!NATTEMPTWASMADETORECALLASTATISTICALVARIABLEFROMWITHIN
./2-!,MODE
Buffer full!
s 4HEEQUATIONINCLUDINGANYCALCULATIONENDINGINSTRUCTIONSEXCEEDED
ITSMAXIMUMINPUTBUFFERCHARACTERSINTHE7RITE6IEWEDITOROR
CHARACTERSINTHE,INEEDITOR!NEQUATIONMAYNOTEXCEEDITS
MAXIMUMINPUTBUFFER
Calculation Ranges 36
s Within the ranges specified, this calculator is accurate to ±1
of the 10th digit of the mantissa. However, a calculation error
increases in continuous calculations due to accumulation of each
calculation error. (This is the same for yx, xr, n!, ex, ln, Matrix/
Vector calculations, 3, etc., where continuous calculations are
performed internally.)
Additionally, a calculation error will accumulate and become
larger in the vicinity of inflection points and singular points of
functions.
s #ALCULATIONRANGES
±10−99 to ±9.999999999 ×1099 and 0.
)FTHEABSOLUTEVALUEOFANENTRYORAlNALORINTERMEDIATERESULTOF
a calculation is less than 10−99, the value is considered to be 0 in
CALCULATIONSANDINTHEDISPLAY
Display of results using r(when EXACT is selected)
#ALCULATIONRESULTSMAYBEDISPLAYEDUSINGrWHENALLOFTHEFOLLOWING
conditions are met:
s 7HENINTERMEDIATEANDlNALCALCULATIONRESULTSAREDISPLAYEDINTHE
FOLLOWINGFORM
±aP
b
⎯
e
± cP
d
⎯
f
s 7HENEACHCOEFlCIENTFALLSINTOTHEFOLLOWINGRANGES
1 ≤a <<b <≤c <
1 ≤d <≤e <≤f <100
s 7HENTHENUMBEROFTERMSINTHEINTERMEDIATEANDlNALCALCULATION
RESULTSISONEORTWO
.OTE 4HERESULTOFTWOFRACTIONALTERMSTHATINCLUDErWILLBEREDUCEDTO
a common denominator.
BATTERY REPLACEMENT
Notes on Battery Replacement
)MPROPERHANDLINGOFBATTERIESCANCAUSEELECTROLYTELEAKAGEOREXPLOSION
"ESURETOOBSERVETHEFOLLOWINGHANDLINGRULES
s -AKESURETHENEWBATTERYISTHECORRECTTYPE
s 7HENINSTALLINGORIENTTHEBATTERYPROPERLYASINDICATEDINTHE
calculator.
s 4HEBATTERYISFACTORYINSTALLEDBEFORESHIPMENTANDMAYBEEXHAUSTED
BEFOREITREACHESTHESERVICELIFESTATEDINTHESPECIlCATIONS
Notes on erasure of memory contents
7HENTHEBATTERYISREPLACEDTHEMEMORYCONTENTSAREERASED
%RASURECANALSOOCCURIFTHECALCULATORISDEFECTIVEORWHENITIS
REPAIRED-AKEANOTEOFALLIMPORTANTMEMORYCONTENTSINCASE
accidental erasure occurs.
When to Replace the Battery
)FTHEDISPLAYHASPOORCONTRASTORNOTHINGAPPEARSONTHEDISPLAYWHEN
jISPRESSEDINDIMLIGHTINGEVENAFTERADJUSTINGTHEDISPLAYCONTRAST
ITISTIMETOREPLACETHEBATTERY
Cautions
s !NEXHAUSTEDBATTERYLEFTINTHECALCULATORMAYLEAKANDDAMAGETHE
calculator.
s &LUIDFROMALEAKINGBATTERYACCIDENTALLYENTERINGANEYECOULD
RESULTINSERIOUSINJURY3HOULDTHISOCCURWASHWITHCLEANWATERAND
immediately consult a doctor.
s 3HOULDmUIDFROMALEAKINGBATTERYCOMEINCONTACTWITHYOURSKINOR
CLOTHESIMMEDIATELYWASHWITHCLEANWATER
s )FTHEPRODUCTISNOTTOBEUSEDFORSOMETIMETOAVOIDDAMAGETOTHE
UNITFROMALEAKINGBATTERYREMOVEITANDSTOREINASAFEPLACE
s $ONOTLEAVEANEXHAUSTEDBATTERYINSIDETHEPRODUCT
s +EEPBATTERIESOUTOFTHEREACHOFCHILDREN
s %XPLOSIONRISKMAYBECAUSEDBYINCORRECTHANDLING
s $ONOTTHROWBATTERIESINTOAlREASTHEYMAYEXPLODE
Replacement Procedure
4URNTHEPOWEROFFBYPRESSING@o.
2EMOVETWOSCREWS&IG
,IFTTHEBATTERYCOVERTOREMOVE
2EMOVETHEUSEDBATTERYBYPRYINGITOUTWITH
ABALLPOINTPENOROTHERSIMILARPOINTEDDEVICE
&IG
)NSTALLONENEWBATTERY-AKESURETHEh+vSIDE
ISFACINGUP
2EPLACETHECOVERANDSCREWS
0RESSTHE2%3%4SWITCHONTHEBACKWITHTHE
TIPOFABALLPOINTPENORSIMILAROBJECT
!DJUSTTHEDISPLAYCONTRAST3EEh!DJUSTINGTHE
DISPLAYCONTRASTv!NDTHENPRESSj.
s -AKESURETHATTHEDISPLAYAPPEARSASSHOWN
BELOW)FTHEDISPLAYDOESNOTAPPEARASSHOWN
REMOVETHEBATTERYREINSTALLITANDCHECKTHE
DISPLAYONCEAGAIN
Modifying a stored matrix
4OLOADASTOREDMATRIXINTOTHEMATRIXENTRYSCREENPRESSN
2THENSELECTTHEMEMORYMAT!nMAT$THATYOUWISHTO
modify.
s ,OADINGNEWDATAINTOTHESCREENWILLAUTOMATICALLYREPLACEANY
DATATHATMAYALREADYEXISTTHERE
-ODIFYTHEVALUESOFELEMENTSINTHEMATRIXANDPRESSeafter
each one.
s )FYOUWISHTOMODIFYTHENUMBEROFROWSORCOLUMNSlRSTPRESS
jN19OUCANTHENENTERNEWVALUESFORTHEMATRIX
dimensions.
7HENYOUHAVElNISHEDMAKINGCHANGESPRESSjTOEXITTHE
MATRIXENTRYSCREEN
4. Press N3ANDSELECTAMEMORYMAT!nMAT$TOSTORETHE
NEWLYCREATEDMATRIXIN
Using Matrices in Calculations
-ATRICESSTOREDINMEMORIESMAT!nMAT$CANBEUSEDINARITHMETIC
CALCULATIONSWITHTHEEXCEPTIONOFDIVISIONBETWEENMATRICESAND
calculations that use x, x, and x−19OUCANALSOUSETHEFOLLOWING
MATRIXSPECIlCFUNCTIONSTHATAREAVAILABLEINTHE-!4(MENU
det matrix name Returns the determinant of a
SQUAREMATRIX
trans matrix name
2ETURNSTHEMATRIXWITHTHE
COLUMNSTRANSPOSEDTOROWSAND
THEROWSTRANSPOSEDTOCOLUMNS
identity value
2ETURNSTHEIDENTITYMATRIXWITH
SPECIlEDVALUEOFROWSANDCOLUMNS
dim (matrix name, row, column) 2ETURNSAMATRIXWITHDIMENSIONS
CHANGEDASSPECIlED
lLLvalue, row, column) &ILLSEACHELEMENTWITHASPECIlED
value.
RAND?MATrow, column)
2ETURNSARANDOMMATRIXWITH
SPECIlEDVALUESOFROWSANDCOLUMNS
ref(matrix name)4RANSFORMTOROWECHELONFORM
rref(matrix name) 4RANSFORMTOREDUCEDROWECHELON
form.
Notes:
s 7HENTHEMATRIXENTRYSCREENISDISPLAYEDYOUCANNOTPERFORM
MATRIXCALCULATIONSBECAUSETHE-!4(MENUISNOTAVAILABLE
s )FTHECALCULATIONRESULTISAMATRIXITWILLBEDISPLAYEDINTHEMATRIX
ENTRYSCREENNOTETHATTHISREPLACESANYEXISTINGDATAINTHEBUFFER
4OSTORETHECALCULATIONRESULTlRSTPRESSjTOEXITTHEMATRIX
entry screen. Press N3ANDSELECTAMEMORYMAT!nMAT$
TOSTORETHENEWLYCREATEDMATRIXIN
s 7HENTHECALCULATIONRESULTSAREINMATRIXFORMPRESSINGNEITHER
lnor rWILLBRINGYOUBACKTOTHEORIGINALEXPRESSION
VECTOR CALCULATIONS 35
9OUCANSTOREANDCALCULATEUPTOFOURVECTORSOFTWOORTHREE
DIMENSIONIN6%#4/2MODE
Entering and Storing Vectors
"EFOREPERFORMINGVECTORCALCULATIONSAVECTORMUSTBECREATED
&OLLOWTHESTEPSBELOWTOENTERANDSTOREVECTORS
1. Press b6TOENTER6%#4/2MODE
0RESSN1TOBRINGUPTHEVECTORENTRYSCREEN
s
!NYVECTORDATAREMAININGINTHEBUFFERALONGWITHANYPREVIOUSLY
ENTEREDLOADEDORCALCULATEDVECTORDATAWILLBEDISPLAYED
$ElNETHEVECTORDIMENSIONSDIMENSIONSORDIMENSIONSBY
USINGTHENUMBERKEYSANDPRESSINGe.
4. Enter each element in the vector by entering a value in the entry
lELDANDPRESSINGe.
s %ACHVECTORELEMENTCANDISPLAYUPTOSEVENDIGITSTHEDECIMAL
POINTCOUNTSASONEDIGIT
)FANELEMENTEXCEEDSSEVENDIGITSINLENGTHITMAYBEDISPLAYED
INEXPONENTNOTATIONWITHINTHEVECTOR
7HENYOUHAVElNISHEDENTERINGAVALUEFOREACHELEMENTPRESS
jTOEXITTHEVECTORENTRYSCREEN
6. Press N3ANDSELECTAMEMORYVECT!nVECT$TOSTORETHE
NEWLYCREATEDVECTORIN
Modifying a stored vector
4OLOADASTOREDVECTORINTOTHEVECTORENTRYSCREENPRESSN
2THENSELECTTHEMEMORYVECT!nVECT$THATYOUWISHTO
modify.
s ,OADINGNEWDATAINTOTHESCREENWILLAUTOMATICALLYREPLACEANY
DATATHATMAYALREADYEXISTINTHEVECTORENTRYSCREEN
-ODIFYTHEVALUESOFELEMENTSINTHEVECTORANDPRESSeafter
each one.
s )FYOUWISHTOMODIFYTHENUMBEROFDIMENSIONSlRSTPRESS
jN19OUCANTHENENTERNEWVALUESFORTHEVECTOR
dimensions.
7HENYOUHAVElNISHEDMAKINGCHANGESPRESSjTOEXITTHE
vector entry screen.
4. Press N3ANDSELECTAMEMORYVECT!nVECT$TOSTORETHE
NEWLYCREATEDVECTORIN
Using Vectors in Calculations
VECTORSSTOREDINMEMORIESVECT!nVECT$CANBEUSEDINARITHMETIC
CALCULATIONSWITHTHEEXCEPTIONOFDIVISIONBETWEENVECTORS9OUCAN
ALSOUSETHEFOLLOWINGVECTORSPECIlCFUNCTIONSTHATAREAVAILABLEINTHE
MATH menu.
DotPro(vector name, vector name)
2ETURNSTHEDOTPRODUCT
CrossPro(vector name, vector name)2ETURNSTHECROSSPRODUCT
Angl(vector name, vector name)
Returns the angle.
Unit(vector name)
Returns the unit vector.
Notes:
s 9OUCANUSEhABSvFUNCTIONABSvector name) for the absolute value.
s 7HENMULTIPLYINGVECTORSTHECROSSPRODUCTISCALCULATED
s 7HENTHEVECTORENTRYSCREENISDISPLAYEDPRESSjand then you
PERFORMVECTORCALCULATIONS
s )FTHECALCULATIONRESULTISAVECTORITWILLBEDISPLAYEDINTHEVECTOR
entry screen.
4OSTORETHECALCULATIONRESULTlRSTPRESSjTOEXITTHEVECTOR
entry screen. Press N3ANDSELECTAMEMORYVECT!nVECT$
TOSTORETHENEWLYCREATEDVECTORIN
s 7HENTHECALCULATIONRESULTSAREINVECTORFORMPRESSINGNEITHER
lnor rWILLBRINGYOUBACKTOTHEORIGINALEXPRESSION
Automatic Power Off Function
4HISCALCULATORWILLTURNITSELFOFFTOSAVEBATTERYPOWERIFNOKEYIS
PRESSEDFORAPPROXIMATELYMINUTES
SPECIFICATIONS
$ISPLAY 96 ×DOTMATRIXLIQUIDCRYSTALDISPLAY
$ISPLAYOFCALCULATIONRESULTS
Mantissa: 10 digits
%XPONENTDIGITS
Internal calculations: -ANTISSASOFUPTODIGITS
0ENDINGOPERATIONS 64 calculations 10 numeric values
NUMERICVALUESIN#/-0,%8MODEAND
NUMERICVALUEFOR-ATRIX6ECTORDATA
0OWERSOURCE "UILTINSOLARCELLS
6x$#"ACKUPBATTERY
!LKALINEBATTERY,2OREQUIVALENT×1)
/PERATINGTIME
(varies according to use
and other factors)
!PPROXHOURSWHENCONTINUOUSLY
DISPLAYINGAT#&USINGTHE
ALKALINEBATTERYONLY
/PERATINGTEMPERATURE #n#&n&
%XTERNALDIMENSIONS MM7×166 mm (D) ×15 mm (H)
v7×v$×v(
7EIGHT !PPROXGLBINCLUDINGBATTERY
Accessories: Battery ×INSTALLEDOPERATIONMANUAL
CALCULATIONEXAMPLESANDHARDCASE
FOR MORE INFORMATION
ABOUT SCIENTIFIC CALCULATORS
6ISITOUR7EBSITE
HTTPSHARPWORLDCOMCALCULATOR
Fig. 1
&IG
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