.. ... ... ...... ... ....... E .......................... .......................... .......................... .......................... fx-115ES PLUS fx-991ES PLUS C User's Guide .......................... .......................... .......................... .......................... .................... ... CASIO ... ....... Worldwide Education Website http://edu.casio.com CASIO EDUCATIONAL FORUM http://edu.casio.com/forum/ I RJA525440-001 V01 CASIO~ .J?p~tel!,t! Important Information Sample Operations Initializing the Calculator Safety Precautions Handling Precautions Removing the Hard Case Turning Power On and Off Adjusting Display Contrast Key Markings Reading the Display Using Menus Specifying the Calculation Mode Configuring the Calculator Setup Inputting Expressions and Values Recurring Decimal Calculations Togging Calculation Results Basic ~~ ~1deI ~ Prime F ~. Func::IiDr~ Comp6ex~ CaK'oIbtinqs (CMPlX) Using CAi..C Using SOLVI" Statistical Calculations (STAT} Base-n Calculations (BASE-N) Equation Calculations (EQN) MatrixCalculations (MATRiX) Creating a Number Table from 1WoFunctions (TABLE) Vector Calculations (VECTOR) Inequality Calculations (lNEQ) Using VERIFY(VERIF) Distribution Calculations (DIST) Scientific Constants Metric Conversion Calculation Ranges, Number of Digits, and Precision Errors Before Assuming Malfunction of the Calculator_ Replacing the Battery Specifications Frequently Asked Questions 2 2 2 2 2 3 3 3 3 4 5 5 5 7 10 14 14 18 19 20 25 26 27 29 33 35 37 39 41 43 45 47 50 51 52 54 56 56 57 57 . . . The displays and illustrations (such as key markings) shown in this User's Guide are for illustrative purposes only, and may differ somewhat from the actual items they represent. The contents In no event of this manual are subject shall CASIO Computer to change without notice. Co., Ltd. be liable to anyone for special, collateral, incidental, or consequential damages in connection with or arising out of the purchase or use of this product and items that come with it. Moreover, CASIO Computer Co., Ltd. shall not be liable for any claim of any kind whatsoever by any other party arising out of the use of this product and the items that come with it. Be sure to keep all user documentation handy for future reference. . t.§anipleop...Ii,jiojs- ~~ Sample operations in this manual are indicated by a / I icon. Unless specifically stated, all sample operations assume that the calculator is in its initial default setup. Use the procedure under "Initializing the Calculator" to return the calculator to its initial default setup. For infonnation about the 1miD, 1IImI, 1m, and _ marks that am shown in the sample operations, see "Configuring the Calculator Setup". ""1i'faii~ins.{l:I~a1Cmatj.c ~ : ...2, [ ] Perfonn the following procedure when you want to in~ialjze the calculator and return the calculation mode and setup to their initialdefault settings. Note that this operation also clears all data currently in calculator memory. I!!!I ([) (CLR) III (All)e)(Yes) Lt. Battery .. Keep batteries out of the reach of smalt children. Use only the type of battery specified for this calculator in this manual. ITHandUD..It""clitrons -:~.,.."..,:",..:, ~~.\.j[t.:~ . Even Ifthe calculator -., ~ Is operating normally, replace the battery at least once every three years (LR44(GPA76». A dead battery can leak, causing damage to and malfunction of the calculator.Never leave a dead battery in the calculator.Do not try using the calculatorwhilethe battery is completelydead. The battery that comes with the calculator discharges slightly during shipment and storage. Because of this, It may require replacement sooner than the normal expected battery life. . . Do not use an oxyrlde battery' or any other type of nickel-based primary battery with this product. Incompatibility between such batteries and product specifications can result in shorter battery tlfe and product malfunction. Avoid use and storage of the calculator In areas subjected to temperature extremes, and large amounts of humidity and dust. Do not subject the calculator to excessive Impact, pressure, or bending. E-Z . . .. . Never try to take the calculator apn. Use a soft, dry cloth to clean the exIericI" ",::.e calculator. Whenever discarding the calculator or bar;aeries,be sure to do so In accordance with the laws and regulations in .,.,.. particular area. . Company and product names used in this manual may be registered Irl'demarks or trademarks of their respective owners. ~.. . -~~'the ~e...~ Before d . ~(I ~ ,. 'I..J -=-=:d wi: ttJmoftautomaticalyifyoudonotpertormanyoperation _ happens, press the . . Calculation ~~:~.:.. :::.::.:.P.9Tn;.4H?I?~~?f.j result If a ~ indicator appears on the right side of the calculation result, it means the displayed calculation result continues to the right. Use <E>and @ to scroll the calculation result display. If a I> indicator appears on the right side of the input expression, it means the displayedcalculation continues to the right. Use <E>and @ to scroll the input expression display. Note that if you want to scroll the input expression while both the ~ and I> indicators are displayed, you will need to press @) first and then use <E>and @ to scroll. This indicator: Adjusting DispIaY.Contra'Si: "'" ~ saee<' !It-perlonning the following key operation: ~~ISEl1.R,@OO''''CONT~J. Next, use @ and <E>to adjust cxrcrasL A.~.erIhe setOOg is Ihe way you want, press @. Important: If adjusmg display contrast does 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 second key pertorms the alternate function of the second key. The alternate function is indicated by the text printed above the key. . The following shows what the different colors of the alternate function key text mean. Alternate function sin-1rD, ~ Keycap function a M STO RCL STAT [email protected]!jJ and then the key to access the The alpha input mode has been entered by pressing the I!!i!i!I key. The alpha input mode will be exited and this indicator will disappear when you press a key. There is a value stored in independent memory. The calculator is standing by for input of a variable name to assign a value to the variable. This indicator appears after [email protected]!iJmm(STO). The calculator is standing by for input of a variable name to recall the variable's value. This indicator appears after you press mm. 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 It means this: Means this: The keypad has been shifted by pressing the I!!iI key. The keypad will unshift and this indicator will disappear when you press a key. I2!J key to turn the calculator ~ If key marking text Is this color: Indicators Display Indicators _ p ,.Off ~ q'f§H:g;.ID...: ~ f.f ::::::::::::::::r.~~;:~~4[ ::::::::r.~2;6~ii;:7.8.5.3.~8i!: } Turningpovver"'" Oh"and Off .""" -.- trod<or Inputexpression a..d£'is!. Press I2!Jto turn on the calculator. Press [email protected](OFF) to turn off the calculator. io< abou. . 0 '"'tir1tJIes. TI ;11,~.22~1 The display oUhe calculator shows expressions you input,calculation results, and various indicators. slide its hard O~~:~rds to remo k the hard ca the calculator, LJ!l"_. ndthenaffix shown In thse e illustration nearby_ case to the bac ~~t~ea calculator as -'cucaD ~di_f;'.QI~'.liDRJJJf2;[.'I'~. The default angle unit is degrees. rn The default angle unit is radians. The defaull angle unit is grads. Yellow applicable function. r!! Red Press and then the key to i1puI the applicable variable, constant, 0<symbol. FIX A fixed number of decimal places is in effect. SCI A fixed number of significant digits is in effect. Purple (or enclosed in purple brackets) Enter the CMPLX Mode10access !he function. I Green (or enclosed in Enter the BASE green brackets) E-3 Math ...'" '!oOe .. ac:essthefunction. 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. E-4 Dlsp ThedisplaycooenItt_ multi-statement calculation. an~te IDMthlO mLinelO resultofa Important: For some type of calculationthat takes a long timeto execute, the display may show only the above indicators (without any value) while it performs the calculation intemally. = ~'" ::-J Some of the calculator's operations are performed using menus. Pressing I!!IDor 11iiiJ, for example, will display a menu of applicable functions. The foltowing are the operations you should use to navigate between menus. You can select a menu item by pressing the number key that corresponds to the number to its left on the menu screen. The ~ indicator in the upper right corner of a menu means there is another menu below the current one. The '" indicator means another menu above. Use <i> and @ to swilch between menus. To close a menu without selecting anything, press @. . . . Specifies the display format. Natural Display (MthIO) causes fractions, irrational numbers, and other expressions to be displayed as they are written on paper. When you want to perform this type of Perform this key operation: I!ii!)ID(COMP) ....ooer caIcUations I!ii!)m(CMPLX) SIaIisticaI and regression calcutations I!ii!)(!)(STAT) Calculations invoImg specific number systems (binal)', octal, decimal, hexadecimal) e (!) (BASE-N) Equation solution Matrix calculations e lID (EON) I!ii!)lID (MATRIX) Generate a number table based on one or two functions @2i!)CZJ(TABLE) Vector calculations e Inequality solution. Ii!i!IID(INEO) Verify a calculation Distribution Calculations li!i!Im(VERIF) lID(VECTOR) I!!!!J<i>@)(DIST) Unear Display (UnetO) causes fractions and other expressions to be displayed in a single line. I4J5+2J3 NItti. 22 15 m . Note: The calculator switches to Linear Display automatically whenever you enter 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 angle unit for value input and calculation result display, Note: In this manual, the symbol next to a sample operation indicates symbol indicates radians. degrees, while the _ lID Fix CZJSel lID Norm Specifies the number of digits for display of a calculation resulr.-Fix: The value you specify (from 0 to 9) controls the number of decimal places for displayed calculation results. Calculation results are rounded off to the specified digit before being displayed. Example: I!IZ!J 100 + 7 =14.286 (Fix 3) 14.29 (Fix 2) Sel: The value you specify (from 1 to 10) controls the number of significant digits for displayed calculation results. Calculation results are rounded off to the 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-exponential format. Outside the specified range, results are displayed using exponential format. Norm 1: 10-' > lxi,Ixli:; 10'. Norm2: 10-<'> lxi,Ixlii: 10" Example: I!IZ!J 1 + 200 =5 x 10-> (Norm 1) 0.005 (Norm 2) <i> IDab/c <i> m die Specilies either mixed fraction (ab/c) or improper of fractions in calculation results, Note: The initialdefault calculation mode is the COMP Mode. fraction(dlc) ~ riOl!ISJiriagi!~Ca.1c.UlAtj)rS"t!t!l2. --=:J <i> (!) CMPLX ID a+bi ; r Le Specifies eitherrectangular (a+b.) or polar cOoidinaies (r Le) for EON Mode solutions. First perform the following key operation to display the setup menu: ~I!!!!J(SETUP). Next,use <i>and @ and the number keys to configure the seUingsyou want. Underlined (_) settings are initial defaults. <i> (!)STAT IDON; mOFF (frequency) column in iiieS'fiiT E-5 m I~+~ MthIO:Selects M!!!!JQ or LineO. MathO displays input and calculation results using the same format as they are written on paper. LineO displays input the same way as MathO, but calculation results are displayed in linear format. 1m operaIion: GenefaI", r::;- m coordinates Specifies whether or not to display a FREO 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. E-6 ~ [!) Rdec [D ON ; m OFF SpeciIies whether or not to display calculation resUiiSUSlng recurmg deanaliorm. <e) while the cursor is at the end of the input calculation will cause ~to jump to the beginning, while pressing @ while the cursor is at the beginning will cause ~ m Disp [D Dot; m Comma Specifies whether to display a dot or a comma for the calculation result decimal point. A dot is always displayed during input. Note: When dot is selected as the decimal point, the separator for multiple results is a comma (,). When comma is selected, the separator is a semicolon (;). ~ !II CONT~ Contrast" for details. Adjusts display contrast. See "Adjusting Display Initializing Calculator Settings Perform the foltowing procedure to initialize the calculator, which returns the calculation mode to COMP and returns alt other settings, including setup menu setlings, to their initial defaults. 1 E~~t8SSiohS' ~nd VallAt$ require / 4.sD30xl30~10x3)=I20 4 !ID~30m !IDIIJ30ffi I ., Input *2 J. of the closing 10(2g3 m §) I I m 4xsin(30)x(30+1~ *3 parenthesis is required 120 tor sin, sinh, and other functions that includeparentheses. ., These MlIII... can be omittedwhenitoccursimmediatelybeforean openingparenthesis, immediately before sin or other function that includes parentheses, immediatelybefore the Ran# (randomnumber)function,or immediately before a variable(A,S, C, 0, E, F, M,X, Y),scientificconstants, 1tor e. ., The closing parenthesis immediatelybefore the §) operation can be omitted. Input example omitting (2g" and CD" operations in the above example. . m Note: . three to 13 bytes. . The cursor will change 2nd 3rd Functionsthat come after the input value (r, x3,x-1,x!, 01.,°, " g, 4th Fractions 5th Negative sign H, base-n symbols (d, h, b, 0) Note: When squaring a negative value (such as 2), the value being squared must be enclosed in parentheses (IIJ IBJ 2 m §). Since XZhas a higher priority than the negative sign, inputting IBJ 2 §) would result in the squaring of 2 and then appending a negative sign to the result. Always keep the priority sequence in mind, and enclose negative values in parentheses when required. 6th Metric conversion commands (cmin, etc.), STAT Mode estimated values (x, 9, XI, X2) %, I), powers (xl), roots ('ro) 7th Multiplication where the multiplication sign is omitted 8th Permutation (nPr), combination (nCr), complex number polar coordinate symbol (L) 9th Dot product (.) 10th Multiplication (x), division (+), remainder calculations (+R) 11th Addion, subtraction (+,-) 12th Logical AND (and) 13th Logical OR, XOR, XNOR (or, xor, xnor) Inputting with Natural Display MaUl" [email protected] CDIIJ30ffi 101ID3§) ,4S1n(30)(30+10X3 120 Selecting Natural Display makes it possible to input and display fractions and certain functions (log, XZ,XZ,x', r., >r., 'ro, x-', 10', e',l, dJdx, I, II, Abs) just as they are writtenin yourtextbook. m 2+-12 1+-12 . ~ will jump to the end. . When E-7 NaIuIaI Display is selected, to . when there are Functions that require an argument to the right and a closing parenthesis "j" following the argument. It the calculation becomes longer than the screen width during input, the screen willscroll automatically to the right and the indicator will appear on the display. When this happens, you can semi back to the left by using @ and <e) to move the cursor. When LiIear Display is selected, pressing @ willcause the cursor to jump to the ~ of the calculation, while shape Calculation Priority Sequence . multiplication symbols (x) can be omitted. A multiplication symbol for a calculation. The priority sequence of input calculations is evaluated in accordance w~h the rules below. When the priority of two expressions is the same, the calculation is performed trom left to right. Isl Parenthetical expressions Basic Input Rules Calculations can be input in the same form as they are written, When you press §) the pIioIity sequence of the input calculation will be evaluated ~ and the result will appear on the display. You can input up to 99 bytes 10 bytes or less of allowed input remaining. It this happens, end calculation input and then press §). (!!iJ [[)(CLR) [D (Setup)§) (Yes) Inputtinq . it to jump to the end. Each numeral, symbol, or function normally uses one byte. Some functions pressing E-8 . Important: Certain types of ~~'" can cause the height of a calculation formula to be greater than one dislJlayline. The maximum allowableheightofa calculationformulaistwo<ispIayscreens (31 dots x 2). Furtherinputwillbecome impossibleifthe height of the calculationyou are inputting exceeds the allowable limit. . Nesting of functions and parentheses is allowed. Further input willbecome impossible ifyou nest too many functions andlor parentheses. Ifthis happens, divide the calculation into multiple parts and calculate each part separately. Note: When you press lEI and obtain a calculation result using Natural Display, part of the expression you input may be cut off. If you need to view the entire input expression again, press @ and then use @ and <E>to scroll the input expression. Using Values and Expressions as Arguments (Natural Display only) A value or an expression that you have already inputcan be used as the argument of a function. After you have input it the argument of / To input 1 + r, t resulting in fl. t, and then change it to 1 + for example, you can make fl e @@@@[email protected](INS) ~ ~e~ul'rinscDi.CT~a1Cula'lOiiii Yourcalculatoruses a recurringdecimalwhenyouinputa value.Calculation results also can be displayed using recurring decimal form whenever applicable. Inputting a Recurring Decimal When inputting a recurrent decimal, press @@~(.) before inputting its period (repetend) and then input the period up to the ending value. To input the recurring decimal 0.909090 (0.90), perform the following operation: "[email protected]@liiH.)90". Important: .If the value starts with an integer part (like: 12.3123123...), do not include the integer part when inputting the period (12.312). Recurring decimal input is possible only when Natural Display is selected. . / ED 1 ~7fSJ6 [1+~ To Insert a character or function fnto a calculation: Use @ and <E>to move the cursor to the location where you want to insert the character or function and then input it. Be sure always to use the insert mode if Linear Display is selected. To clear all of the calculation you are Inputting: Press @. To input 0.33333... (0.3) 08 m--1iattl m @@@(.) [0.0 ~th As shown above, the value or expression to the right of the cursor after [email protected])(INS) are pressed becomes the argument of the function that is specified next. The range encompassed as the argument is everything up to the first open parenthesis to the right, if there is one, or everything up to the first function to the right (sin(30), log2(4), etc.) This capability can be used with the following functions: ~, ~, liB. 1!!!J(ji;J(e'), @, [email protected](3r.;), @@~(!H. 1!!!J~('ro), 3 [o.a To input 1.428571428571... ED (1.428571) !m(§](IO'). [email protected]@@(.) I!i!!lI!iI(Abs). Overwrite Input Mode (Linear Display only) You can select either insert or overwrite as the input mode, but only while Linear Display is selected. In the overwrite mode. text you input replaces the text at the current cursor location. You can toggle between the insert and overwrite modes by performing the operations: [email protected](INS).The cursor appears as "I" in the insert mode and as "_" in the overwrite mode. Note: Natural Display always uses the insert mode, so changing display format from Linear Display to Natural Display will automatically switch to the insert mode. Correcting and Clearing an Expression To delete a single character or function: Move the CUlSOIso it is directly to the right of the character or function you want 10 delete. and then press @ID. In the overwrite mode, move the cursor so i is <iredIy under the character or function you want to delete, and then press §. E-9 Mo. [0.1 m ~[!;i 1!!!J1iS(Ir'), !m~(~-), m m .... 428571 / To calculate 1.021 + 2.312 m [0 rn ED E-10 m 1.4285711 1. [email protected]@@(.)021(E)~ 28 @@@(ii)3121E1 Calculation result displayed as recurring decimal value: Mo. 021 +2. 312 _ Malll. 10 "3 rn @ 11.021 +2. 312 Ma\fl. 3.3 ~ Note: . You can specify up to 14 decimal places for the recurring decimal period. Ifyou input more than 14 decimal places, the value will be treated as a terminating decimal and not a recurring decimal. Recurring decimal value input can be performed regardless of the Rdec selling on the setup menu. . Return to initial display format (Norm 1): 0.1428571429 ..!...=0.142857 Displaying a Calculation Result as a Recurring Decimal Value 7 =0.1428571429 Calculation results that can be displayed as recurring decimal values willbe displayed as such when ON is selected for the Rdec selling on the setup (Norm 1) ~ [email protected] menu. Pressingthe §!iiI keywillcyclebetweenthe availablecalculationresult I!IDI ! 1~7 formats as shown below. ~I Recurring Decimal m §!iiI11i7 Display as recurring decimal: 0.142857 Decimal Value According to Display (Norm, Fix, Sci) Sellings Or .... §!iiIll+7 ~ . Decimalvalue accordingto Norm1 selling: ~ Decimal Value According to Display (Norm, Fix, Sci) Sellings 11~7 0.1428571429 RecUrringDecimall~ / rmm +=0.142857=0.t428571429(NOrm1) [email protected] E Returnto initialdisplayformat(fraction): §!iiI\1 ~7 m 1:71 ~ m ]_. / 1 + 7 =0.1428571429 (Norm1) = 0.142857=+ I!IDI m 1 B:)[email protected] ,1+7 Sit Display as recurring decimal: 0.142857 Display as fraction: 1 Decimal value according to Norm 1 selling: 8 I 7" 0.1428571429 Display as recurring decimal: 0.142857 Return to initial display format (fraction): m Return to initial display format (Norm 1): 1 + 7 =..!...= 0.142857 = 0.1428571429 (Norm 1) 7 ~ ,1+7 0.1428571429 m _. Conditions for Displaying a Calculation Result as a Recurring Decimal If a calculation result satisfies the following conditions, pressing S will display it as a recurring decimal value. The total number of digits used in the mixed fraction (including integer, Display as fraction: -. . numerator, denominator,and separator symbol)must be no more than 10. Display as recurring decimal: O. 142857 E-11 E-12 I . The data size of value to be displayed as the recurring decimal must be no larger than 99 bytes. Each value and the decimalpoint require one byte, and each digij of the periodrequires one byte. The following, for example, would require oltotal of Bbytes (4 bytesfor the values, 1 byte for the decimal point, 3 bytes for the period): 0.123 Note: For infonnationabout switching the display fonnat of a calculation resutt when OFF is selected for the Rdec setting on the setup menu, see "Toggling Calculation Resutts.. -- 0.3+ 0.45= 0.78 .... / / / 1.6+2.8=4.5 IZID 18~~(ii)[email protected] 28~~(ii)B§)1Ei To confinn the following: 0.123 =~, _ 12345 0.12345 = 99999 IZID n + 6 = -tn m / .... 41 333 G .... Ii3i I~~~ 0.123 1234 12341aJ9999 §) 19999 1234 1234 9999 iiJJiiiiA Ii3i19999 ~ 1 +5=0.2=t 1ffi5§) ImII 1-t=t=0.2 1E)4(E5§) ImII . . 0.2 15 15 0.2 Important: Depending on the type of calculation resuttthat is on the display when you press the Ii3i key, the conversion process may take some time to perform. With certain calculation results, pressing the ~ key will not convert the displayed value. When ON is selected for Rdec on the setup . . menu, pressing Ii3iwill switch the calculation resutt to recurring decimal fonn. For details, see "Recurring Decimal Calculations'. You cannot swijch from decimal fonn to mixed fraction fonn if the total number of digits used in the mixed fraction (including integer, numerator, denominator, and separator symbols) is greater than 10. Note: Wijh Natural Display (MathO), pressing I!!!I §) instead of §) after inputting a calculation will display the calculation result in decimal fonn. Pressing Ii3iafter that will swijch the calculation resutt to recurring decimal fonn, fraction fonn or n fonn. The fonn of the result will not appear in this case. r -- - -__- - - ___I -. ___ ~ 0.1234 I Basic Calculations Fraction Calculations 12345 12345(E 99999 §) 199999' 0.5235987756 / 9999 I ~~~ §i IZID ,16+2-13 5.913591358 .... 0.1234 =~, 1231A1999 §) =,16 + 2-13 = 5.913591358 WhileUnear Display is selected, each press of Ii!!iI will toggle the currently displayed calculation result between its decimal fonn and fraction fonn. 4.5 m -tn O.78 1. 6+2. 8" 999 (,12 + 2) x -13 _ IZID = 0.5235987756 [email protected]>1E2m!XI~3§) o 81!!!1 ~.! ii)3 @>IE 10.3+0. 458 08~~(.)45§)1i3i _ r I!!!I~ (n)ffi6§) IZID ----. J While Natural Display is selected, each press of Ii!!iIwill toggle the currently displayed calculation result between its fraction fonn and decimal fonn, ijs fonn and decimal fonn, or its n fonn and decimal fonn. Recurring Decimal Examples / --- Toggling Calculation ,!!!uJ!!.._ 4115 33333 Note that the input method for fractions is different, depending upon whether you are using Natural Display or Linear Display. 7 "6 I '?A!=i: 1i3i. 0.12345 7 "6 7~6 E-13 E.14 I /4-3t=trmm . _ 48f!BtaJl-§[email protected]~2§) t 4831!!111BJ2§) 1~2 Note: Mixing fractions and decimal values 81 a calculation while Linear Display is selected will cause the resun to be displayed as a decimal value. Fractions in calculation results are displayed after being reduced to their lowest terms. . To switch a calculation result between improper fraction and mixed fraction form: Perform the following key operation: I!!!I ~(a%.%) To switch a calculation result between fraction and decimal form: Press Multi-Statements 1i!ID. You can use the colon character (:) to connect two or more expressions and execute them in sequence from left to right when you press §). / §) Using Engineering Notation A simple key operation transforms a displayed value to engineering notation. / Percent Calculations Transform the value 1234 to engineering notation, shifting the decimal point to the right. 1234 §) Inputtinga valueand pressing @!j)CD(%)causes the inputvalueto become a percent. / / / / 150x20%=30 150 I&J20 I!!!I CD(%)§) Calculate what percentage of 880 is 660. (75%) 660 ffi 880 @!j)CD(%) §) @ @ID Transform the value 123 to engineering notation, shifting the decimal point to the left. 123§) 123 @!!It~](<-) 0.123x103 1!!iI~(<-) 0.000123x10' 75 Increase 2500 by 15%. (2875) 2500 2500 I&J 151!!!1 CD(%)§) 2875 Discount 3500 by 25%. (2625) 3500133500 2625 Calculation History I&J251!!!1 CD(%)§) Degree, Minute, Second (Sexagesimal) Calculations Note: You must always input something for the degrees and minutes, even if they are zero. / 1234 1.234x103 1234x10. 30 In the COMP, CMPLX, or BASE-N Mode, the calculator remembers up to approximately 200 bytes of data for the newest calculation. You can scrolt through calculation history contents using @ and ~. Performingan additionorsubtractionoperationbetweensexagesimalvalues, or a multiplicationor divisionoperationbetweena sexagesimalvalueand a decimalvaluewillcause the resultto be displayedas a sexagesimalvalue. You also can convert between sexagesimal and decimal. The following is the input formatfor a sexagesimal value: (degrees) 8 (minutes) 8 (seconds) 8. / 6 9 3~3(!iE!}~(:)31&J3§) 3+3:3x3 2°20'30"+ 39'30"= 3°00'00" 2820830 8 ~ 08 39830 1~1§) 2 2~2§) 4 3~3§) (Scrolls back.) @ 6 4 (Scrolls back again.) @ 2 Note: Calculation history data is all cleared whenever you press ~, when you change to a different calculation mode, when you change the display format, or whenever you perform any reset operation. Replay E3 §) Convert2°15'18"to its decimalequivalent. 28158188§) (Convertssexagesimal to decimal.) 8 (Convertsdecimal10sexagesimal.) 8 1 + 1 =2 2+2=4 3+3=6 2°15'182.255 2°15'18" While a calculation result is on the display, you can press <3:>or ~ the expression you used for the previous calculation. / 4 x3+2.5= 14.5 4x3-7.1 =4.9 to edit _ 14.5 41&J3~2.5§) (Continuing)<3:>[email protected])87.1 §) 4.9 Note: If you want to edit a calculation when the ~ indicator is on the right side of a calculation result display (see "Reading the Display"), press §J and then use <3:>and ~ to scroll the calculation. E-15 E-16 . Answer Memory (Ans)/Previous (PreAns) Answer Memory Variables The last calculation result obtained is stored "' Ans ':answer) memory, The calculation result obtained prior to the last one is sto<ed "' PreAns (previous answer) memory. Displaying the result of a new calculation willmove current Ans memory contents to PreAns memory and store the new calculation results in Ans memory. PreAns memory can be used only in the COMP Mode. PreAns memory contents are cleared whenever the calculator enters another mode from the COMP Mode. / To dividethe result of 3 x 4 by 30 ImIJ I 31ID4§) 121 m 041 (ZJ30 §) Ans+30 I Em 123+456=579 1231E456§) I 5791 m 789 - 579 (Continuing) = 210 / To assign the result of 3 + 5 to variable A 31E 51!!i]1ffiI(STO)IE)(A) 8 / To multiply the contents of variable A by 10 (Continuing) I!ffi!!lIE)(A)1ID10 §) 80 / / To recall the contents of variable A To clear the contents of variable A Independent (Continuing) / (A,B,C,D,E,F,X,Y) Your calculator has eight preset variables named A, B, C. D, E, F, X, and Y. You can assign values to variables and also use the variables in calculations. MalliA 789 Ell!!!!! §) !789-Ans 210 For T,-, = T,.\ + T, (Fibonacci sequence), determine the sequence from T, to T,. Note however, that T, = 1 and T, = 1. Em (Continuing) o OI!!i]I!!ID(STO)IE)(A) Memory (M) You can add calculation results to or subtract results from independent memory.The "M"appears on the displaywhenthere isany valueother than zero stored in independent memory. / / / To clear the contentsof M OI!!!lIffil(STO)!!i!I(M) To add the resultof 10x 5 to M (Continuing) 10lID5!!i!1 To subtract the result of 10+ 5 fromM (Continuing) 10 IE [email protected]!j)[iE(M-) / To recallthe contents of M (Continuing) I§) ~(M) Note: VariableMis used for independent memory. 0 50 15 35 Clearing the Contents of All Memories T,= 1 1 §) I m .0.'I11) (An.:f,: 1 Ansmemory, independent memory, and variablecontentsare retainedeven if you press gg, change the calculationmode, or turn off the calculator. PreAns memory contents are retained even if you press gg and turn off the calculator without exiting the COMP Mode. Perform the following procedure when you want to clear the contents of alt memories. T,=1 1 §) I 1 13=12+T1=1+1 . I 1!!!!!1E1!ffi!!I1!!!!!(PreAns)§) 1 m (Ans "" T:= 1, PreAns iii Ans+PreAns 1 (!] T. = T3+ T, = 2 + 1 I!!!IIID (ClR) o (Memory) §) (Yes) = TI = 1) ~-~dft~Cal~uiaiiMi~"~'~: MaUl. - ~:J Youcan use the +R functionin order to obtain the quotient and remainder 2 (Ans "" T 3 "" 2. PreAns ""T;:"1) Math. in a division calculation. / To calculate the quotient and remainder of 5 + 2 m §),AnS+PreAnS 3 (Ans;z T~ "" 3. PreAns iii 51!!!iiiJ1II(+R)2§) .5+R2 2,R=1 "" 13 = 2) Quotient Remainder Me"'. §) ,Ans+PreAns T, = T. + T, = 3 + 2 5 Result: 8 I!!ID IE) (A) The sequence is {1, 1,2,3, 5}. E-17 R= 51!!!iiiJ'jiH+R)2§)15+R2 d 1 Quotient Remainder E-18 . . . Note: Only the quotient value of a +R caIcUaIion is stored in Ans memory. Assigning the result of a remainder division calculation to a variable will assign the quotient value only. Performing the operation 5 ~ lJiH+R)[email protected]@(STO)m(X) (which assigns the result of 5+R2 to X) If a +R calculation is part of a multi-step will assign a value of 2 to X. calculation, only the quotient is passed on to the next operation. (Example; 10 IE 17 ~1iiI(+R)6 §) 10+ 2) .Operation olthe ~ and 8 keysis disabled while a remainder division result is on the display. For actual operations using each function, see the "Examples' section following the list below. . 1t: 1t is displayed as3.141592654, =3.14159265358980isused for = 2.71828182845904 for buf 1t intemal calculations. e: e is displayed bute as 2.718281828, is used intemal calculations. Cases when Remainder Division becomes Non-remainder Division sin, cos, lan, sln-', coso" tan-': Trigonometric functions. Specify the angle un~ before pertorming calculations. See LJ.. If either of the following cond~ions exists when you pertorm a remainder division operation, the calculation will be treated as normal (non-remainder) division. sinh, cosh, tanh, slnh-'. cosh-', tanh-': Hyperbolic functions. Input a function from the menu that appears when you press ffiJ. The angle unit setting does not affect calculations. See Itl.. . . When e~her the dividend or the divisor is a very large value Example:20000000000 I!ffii!)1.)( +R)17§) Calculated as: 20000000000 + 17 ',',9: These functions specify the angle unit. specifies degrees, 'radians, and 9 grads. Input a function from the menu that appears when you pertorm the following key operation; IS!!JfiW(DRG~). See h. 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 10., e.: Exponential functions. Note that the input method is different depending upon whether you are using Natural Display or Unear Display. Seeh. . ~Prime Factorization -~: ",~"""".' .~.~.~mv.~.~ ~ 10 is the default In the COMP Mode, you can factor a positive integer up to 10 digits into prime factors up to three digits. To pertorm prime factorization on 1014 IE![ 10141 f3 (FACT) [ 2x3X13z1 1014 IS!!J ~ log: logarithmic function. Use the :1 .....- setting key to input log.b as log (a, b). Base if you do not input anything for a. The ~ key also can be used for input, but only while Natural Display is selected. case, you must input a value for the base. See h. In this In: Natural logarithm to base e. See h,. x", x", xl, r., 'r., o.rc;,.r': Powers, power roots, and reciprocals. Note that the input methods for x", r., 'r., and o.rc;are different depending upon whether you are using Natural Display or linear Display. See LJ... . Note: The following functions cannot be input in consecutive sequence; r, x', x", x-'. If you input [email protected]@1, for example, the final @I will be ignored. To input 222, input [email protected], press the @ key, and then press @I(ED). When you pertorm prime factorization on a value that includes a factor that is prime number with more than three dig~s, the part that cannot be factored will be enclosed in parentheses on the display. . r, x', x-' can be used in complex number calculations. /J.: Function for pertorming numerical integration using the Gauss-Kronrod To pertorm prime factorization on 4104676 @f3(FACT) (= z2 x 10132) I 2zx(1026169) I Anyone of the following operations will exit prime factorization result display. Pressing 1!!!If3(FACT) or §). Pressing any of the following keys; ~ or f3. Using the setup menu to change the angle unit setting (Deg, Rad, Gra) or the display digits setting (Fix, SCi, Norm). Note: You will not be able to execute prime factorization while a decimal value, fraction, or negative value calculation result is displayed. Trying to do so will cause a math error (Math ERROR). You will not be able to execute prime factorization while the result of a calculation that uses Pol, Rec, +R is displayed. .. . . . method. Natural Display input syntax is J:f(x), while linear Display input syntax isJ(f(x), a, b, tol). to/ specifies tolerance, which becomes 1 x 1~ when nothing is input for tot. Also see "Integration and Differential Calculation Precautions" and ''Tips for Successful Integration Calculations" for more information. See 6. i;.: Function for approximation of the derivative based on the central difference method. Natural Display input syntax linear Displayinputsyntaxis fx is fx (f(x))Ixo.'while (f(x),a, tol).to/ specifies tolerance, which becomes 1 x 10-'0 when nothing is input for tot. Also see "Integration and Differential Calculation Precautions' for more information. See h. b ~-: Function that, for a specified range ofj(x),determines sum L (f(x)) .... =j(a) + j(a+l) while linear E-19 + j(a+2) + ...+j(b). Natural Display input syntax is L (f(x)), Display input syntax is I(j(x),a, b).a and b are inte9~rs that E-20 can be specified within the range 01-1 x 10'" < a ;;; b < 1 x 10.°. See ~. Note: The following cannot be used ilJtx): Pol, Rae, +R. The following cannot be used inJ!x), a, or b: I, dldx, L, n. ~-: Determ~nes the product of J!x) over a given range. The calculation formula is: II(j(x)) =J!a) xJ!a+l) xJ!a+2) x... xJ!b). The Natural Display ~ b . inputsyntax is II(j(x)), whilethe LinearDisplayinputsyntax is n(/!x), a, b). a and b arei';;tegers in the range of a < 1 x 10'°, b < 1 x 10'°,a;;; b. See&. Note: The following cannot be use\! inJ!x): Pol, Rec, +R. The following cannot be used inJ!x), a, or b: I, dldx, L, n. Pol, Rec: Pol converts rectangular coordinates to polar coordinates, while Rec converts polar coordinates to rectangular coordinates. See .lll. Pol(x, y) = (r, 8) Rec(r, 8) = (x, y) p(;r.y) p(r,8) tr ~ . i i -2!!l ° .x Rectangular Coordinates (Rae) Polar Coordinates (Pol) Specify the angle unit before performing calculations. . result for rand 8 The calculatoon and forx and yare each assigned respectively to variables Xand Y. Calculation result 8 is displayed in the range of _180. < 8 :5 1800. X I: Factorialfunction.See ~. Abs: Absolute value function. Note that the input method is different depending 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 fraction when Natural Display is selected. ~ Intg: Deferminesthe largest integer that does not exceed a value. See ~. Note: Usingfunctionscan slowdowna calculation,whichmaydelaydisplay of the result.Donot performany subsequent operationwhilewaitingforthe calculationresult to appear. To interruptan ongoingcalculationbefore its result appears, press @. .Integration Mode(~[IJ) and Differential Calculation Precautions Integration and differential calculations can be performed in the COMP . only. The following cannot be used in J!x): Pol, Rec, +R. The following cannot be used inJ!x), a, b, or /01: I, dldx, L, n. . When using a trigonometric function in J!x), specify Rad as the angle .unit. A smaller /01 value increases precision, but it also increases calculation time. 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), calculation will produce a negative result. - . Depending on the content of J!x) and the region of integration, calculation error that exceeds the tolerance may be generated, causing the calculator to 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 zero cancause poorprecisionor error. Tips for Successful Integration Calculations Ranlnt#: For input of fhe function of the form Ranlnt#(a. b), which generates a 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 rounded in accordance with the current number of display digits setting (Norm, Fix, or Sci). With Norm 1 or Norm 2, the argument is rounded off to 10 digits. With Fix and Sci, the argument is rounded off to the specified digit. When Fix 3 is the display digits setting, for example, the result 0110 + 3 is displayed as 3.333, while the calculator maintains a value of 3.33333333333333 (15 digits)intemallyfor calculation.In the case of Rnd(10+3)=3.333 (with Fix 3), both the displayed value and the calculator's intemal value become 3.333. Because of this a series of calculations will produce different results depending 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 When a negative Perform negative ft~ periodic function or integration interval results in positive and fix) function values separate integrations for each cycle, or for the positive part and the part, and then combine the results. b I a f(x)dx c b =IJ(x)dx + (-I.f(x)dx) ~~ PositivePart NegativePart (5 Positive) (5 Negative) When integration values fluctuate widely due to minute shifts in the integration Interval Divide the integration interval into multiple parts (in a way that breaks areas of wide fluctuation into small parts), perform integration on each part, and then combine the results. f~) b x, tJ\~ I x. I I a f(x)dx = 0 f(x)dx + x,f(x)dx +. z + I>X)dx E.22 ... & ,., L(X+I)=20 Examples Li h 6. ImllIEI sin-'O.5= 30° ImllIEI sin 30°= 0.5 50 [IJIEI 1.175201194 ffiW!D(sinh)1 ffiWlID(cosh-') 1 [IJ lEI 0 rmm I!IZII Lh =1 IT(X 90 45 i!!jJ f!!!J(DRG~)[IJ(')1EI i!!jJ f!!!J(DRG~) (II (9) lEI To calculate e' x 2 to three significant digits (Sci 3) h h [email protected](e")5 <E>(jg 2 lEI i!!jJ !W (el) 5 [IJ (jg 2 lEI §) log,.1000 = log 1000 = 3 log216=4 §) 1000 3 4 4 [IJ lEI ~2<E>161E1 h To calculate In 90 (= log, 90) to three significant digits (Sci 3) [email protected](SETUP)ILI(Sci)(II (5')' =15625 ~=2 4.50x10. 1200 16 rmm mIlE 1 [IJ @)21E 2 lEI 15625 m 51£1[IJ i!!jJ1£I(x3) lEI 2 rmm [email protected])('Yo)5<E>321E1 2 ImII 51!!j) @)('Yo)32 [IJ lEI L:z. 1.2x 10' = 1200rmm (1+1)'" = 16 !W90[IJlEI rmm Gi) 2 <E> (jg 3 lEI I!!j)IEI Gi) 2 [IJ (&) 3 lEI h J:ln(x) rmm ImII .. ImII 1ffi111iB (£-.) I!i!!I ~ lEI rmm & ~ ~ 720 ImEJ(Rec)~2<E>i!!jJm(,)45mlEl X=1,V=1 (5 + 3) ! =40320 12-7Ix2=10 rmm I!IZII m 51E 3 II) i!!jJ~(x!) lEI IffiI ffiW(Abs) 40320 10 10 2 EJ 7 <E> (&) 2 lEI i!!jJ ffiW(Abs)2 EJ 7 [IJ (jg 2 lEI To obtain three random three-digit integers 1000 I!!j)8 (Ranll)lEI 459 lEI lEI h 48 117 To generate random integers in the range of 1 to 6 I!!W8(Ranlnt) 11m [IJ(,)6 [I) lEI lEI 0 i!!jJas (£-.)@I!!W[I) (X)[IJ i!!jJ[IJ (,)i!!jJ(@(It)1II 2 [IJ lEI 0 & results will differ.) To determine the number 01penmutationsand combinations possible when selecting four people from a group 0110 Penmutations: 10 I!!j)(jg(nPr)41E1 Combinations: [IJ (X)[IJ 2 6 1 lEI lEI ~ <E> III 1m (@(It)<E> 2 lEI E-23 720 ImIE(Pol)~2<E>i!!jJ[I)(,)~2<E>[IJ1EI r=2,11=45 i!!jJIE (Pol)Gi)2 m IffiIm(,)Gi) 2 [I) m lEI r= 2 11=45 Toconvertpolarcoordinates (12, 45°)to rectangular coordinates To obtain the derivative at point x = rrJ2for the function y = sin(x) rmm ~~(!H~II)(X)IEI<E>I<E>51E1 ~~(~-)~[I)(X)IE 1 1!!j)[I)(,)1 1m [IJ(.)5[I) lEI (Results shown here afe for illustrative purposes only. Actual [IJ (X)[IJ <E>1 <E>~ @ijj(e)1EI I!!WII) (X)[IJ IffiI[I) (,) 11iB!W 1 1m [IJ (,) I!!W @ijj(e)[IJ h 3-12 4.243 4.243 =1 11iB!W ~ =720 (Results shown here are for illustrative purposes only. Actual results will differ.) places (Fix 3) i!!jJ1!2i!J(SETUP)!II(Fix)@ 20 rmm I!IZII 1.2([email protected])31E1 To calculate 12 x 3(= 312 = 4.242640687...) to three decimal 20 lEI 2.97x102 2.97x1 Q2 2 i!!jJ [IJ (,) 16 [IJ lEI 1ffiI~(:;:-)~II)(X)IEI<E>I<E>51E1 I!!j)~(:;:-)~[I)(X)IE 1 1!!j)[I)(,)1 i!!jJ[I) (,)5 [I) lEI To convert rectangular coordinates (12, 12) to polar coordinates IffiII!2i!J(SETUP) ILl (Sci) (II rmm ImII + 1) rmm ImII lEI 1t/2radians = 90°, 50 grads = 45° [email protected](1t)1E2[IJ 0.5 30 [IJlEI i!!jJ I!i!!I(sin-') 0.5 [IJ lEI sinh1= 1.175201194 cosh-'1 = 0 m ~ 1!i!!130 10 I!!j)IE (nCr)4 lEI 5040 210 To perlonm the following calculations when Fix 3 is selected for fhe number01displaydigits:10.;.3 x 3 andRnd(10.;.3) x 3 ImII 1m I!2i!J(SETUP)!II (Fix)(II 10IE 3 (&)3 lEI [email protected])(Rnd)10 IE 3 [IJ(&)3 lEI E-24 10.000 9.999 I I ~ To detennine the greatest common divisor of 28 and 35 ~ IKI(GCD)281!!i1 en (,)35m § 7 To detennine the least common multiple of 9 and 15 ~ & -3 ~ (Int)ffjJ 3.5 m § To detennine the largest integer that does not exceed -3.5 ~EI(lntg)1B3.5en§ ,Complex Number Calculatie»ns TC-MPLXLJ (2 + 6') + (2') = 3 / 2 L 45 = .f2 + .f2i ED_ / - i (Complex number fonnat: a + b,) m2~6(@(,)enlEm2ffijg)(,)en§ 3-i (Complexnumberfonnat:a + b,) 21!!i1 ffjJ(L)45§ v'2 +v'2i .f2 + .f2i = 2 L 45 ED_ (Complexnumber'onnat:rL8) [email protected][email protected]~(')§ 2L45 . ~ .f2+.f2i=2L45, 2L45=.f2+.f2i ED_ 2 @ ~ [email protected]~(')1!!iI m(CMPLX)(!](~rL()§ 21!!i11B1(L)451!!i1 m(CMPLX)(!J(~a+b,)§ CALC lets you save calculationexpressions that contain variables, which you can Ihen recall and execute in the COMP Mode (I!!ID II) andtheCMPLX Mode(@IDm). The following describes the types of expressions you can save 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 perfonn the calculation: (A, B) = (5, 10), (7, 20) 3~ffjJ(A)~~E3(B)13A+EI ~ Note: If you are planning to perfonn input and display of the calculation resultin polarcoordinatefonnat,specifythe angleunitbeforestartingthe . calculation. The () value of the calculation result is displayed in the range of -180. < () :; 180.. . Display of the calculation result while Linear Display is selected will show a and bi (or rand () on separate lines. 2L45 v'2+v'2i Using~L!L-__ _ _ _ .. -4 To perform complex number calculations, first press I!!ID m (CMPLX)to enter the CMPLX Mode. You can use either rectangular coordinates (a+b,) or polar coordinates (r L8) to input complex numbers. Complex number calculation results are displayed in accordance with the complex number fonnat selling on the setup menu. / Eitherof twospecialcommands(~rL() or ~a+b,) can be input at the end of a calculation to specify the display fonnat of the calculation results. The command overrides the calculato(s complex number fonnat selling. / To extract the integer part of -3.5 ~ ~ 45 IE(LCM)91!!i1 m(,) 15 m § Using a Command to Specify the Calculation Result Format Prompts for input of a value for A m... ·- Currant \ I 01 value of A CMPLX Mode Calculation Examples / (1 - ,)-' = t+ti / (1H)'+(1-')'=0 ED 5§10§\3A+B (Complexnumberfonnat:a + bi) m 1EI(@(,)en~§ 9 I ED m 11E(@(')IIJ~~m1 o EI(@(,)en~§ @!£I(or §) I A? m To obtain the conjugate complex number of 2 + 3i (Complex number fonnat: a + b,) I!!iI m (CMPLX) m (Conjg) 2~ 3(!!g(')en§ / -:5\ To obtain the absolute value and argument of 1 + i AbsoluteValue: I!!ilI!iI(Abs) 1 ~ (@(,)§ Argument:I!!iI m(CMPLX)II) (arg)1~~(,)en § E-25 2-3i 7§20§ 13A+B II 5 1 -:1\ To exit CALC: €£I ED_ v'2 45 E-26 I m To store A + Bi and then determine coordinates (r L9) 1m .f3 + i, 1 + .f3 i using polar f!2ID1IJ(CMPLX) ~!BJ(A)(E~E3(B)~(/) ... m @[ 21..301 [ 21..601 @!ID (or @)1 @11iJ3[[email protected] To exij CALC: tgj Note: Duringthe timefromwhenyou [email protected]!IDuntilyou exitCALCby pressing tgj, you should use Linear Display input procedures for input. ~~~ Equations +3=B+C . Screen Contents Solutions are always displayed in decimal form. Equation Variable solved that Include variable X: X' + 2X - 2, V = X + 5, X = sln(M), X - 2 is treated . If an equation contains input functions that include an open Important: parenthesis (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 "'~""'~ Solution for (Left Side) "(Left Side) . - I - (Right - (Right Side) result Side) resull" shows the result when the right side of the equation is subtracted from the left side, after assigning the obtained value to the variable being solved for. The closer this result is to zero, the higher the accuracy of the solution. Continue Screen SOLVE performs convergence a preset number of times. If it cannot find a solution, it displays a confirmation screen that shows "Continue: [=)".asking if you want to continue. Press @ to continue or tgj to cancel the SOLVE operation. / ~[D(X)@)(E~E3(B) 1!mi!I(§!g(Y)[email protected]!ID(=)~!BJ(A)IY=AXZ+B m ... Prompts for input of a value for Y (The equation you input.) as X' + 2X . Equations Input using the following syntax: (equation), (solution variable) SOLVE solves for V, for example, when an equation is input as: V = X + 5, V / . . . Solution SOLVE solves for X. An expression like X' + 2X -2 =0. . [email protected]~~AXZi~414213562 L-R= 0 Note: During the time from when you press [email protected]!ID(SOLVE) until you exit SOLVE by pressing tgj, you should use Linear Display input procedures for input. Important: Depending on what you input for the initial value for X (solution variable), SOLVE may not be able to obtain solutions. If this happens, try changing the inijial value so they are closer to the solution. SOLVE may not be able to determine the correct solution, even when one exists. SOLVE uses Newton's law, so even if there are mulliple solutions, only one of them wiil be returned. Due to limitations in Newton's law, solutions tend to be difficult to obtain for equations like the following: y = sin(x), y = c, y = rx. SOLVE uses Newton's Law to approximate the solution of equations. Note that SOLVE can be used in the COMP Mode (@!!1)III)only. The following describes the types of equations whose solutions can be obtained using SOLVE. . ~ To exit SOLVE: tgj . I!!!IIIJ(CMPLX)III(~rL9) @[email protected][[email protected] IA+B._.. rl..fJ Input an initial value for X (Here, input 1): Tosolvey=x'-x+ 1 forxwheny=3, 7, and 13 m @!ID(=) IY=XZ-X+ 11 IimiiI(D(X)@)ElIimiiI [D(X)(E 1 ~ (§!g(Y)~ 11 Current value of Y m M~th [email protected]@[email protected],Solve for X [email protected] ,Solve formX o Current value of X E-27 E-28 J m Inputan initialvaluefor X(Here, input1): 1 § Moth I*~X2-X+1 2 o L-R= L:t To select (170,66), linear regression and input the following (173, 68), (179, 75) data: m STAT No. ~[I)(STAT)[IJ(A+BX) 3 I !I I v I o 170§ 173§ 179§<i><E> o 4 o L~atisti~a!.pa.culations~I$TA!) To start a statistical calculation, perform the key operation ~ [I) (STAT) to enter the STAT Mode and then use the screen that appears to select the type of calculation you want to perform. To select this type of statistical calculation: (Regression formula shown in parentheses) Press this key: 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 (y = A + Blnx) (!J (In X) Paired-variable (X, Y), e exponential regression (y=Ae"-') [ID(eAX) Paired-variable (X, Y), ab exponential regression (y=AB-') lID (A'SAX) = Ax") ILl (A'XAB) Paired-variable (X, V), power regression (y Paired-variable (X, Y), inverse regression (y =A + B/x) lID (1/X) 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 ST AT Mode, perform the key operation @!!I1I)(STAT/DIST)II)(Type) to display the calculation type selection screen. Inputting Data Use the Stat Editor to input data. Perform the following key operation to display the Stat Editor: @!iI1I)(STATIDIST)[IJ(Data). The Stat Editor provides 40 rows for data input when there is an X column only or when there are X and Ycolumns, 20 rows when there are Xand FREO columns, or 26 rows when there are X, Y, and FREO columns. Note: Use the FREO (frequency) column to input the quantity (frequency) of identical 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. 66§68§75§ . Important: All data currently input in the Stat Editor is deleted whenever you exit the STAT Mode, switch behveen the single-variable and a pairedvariable statistical calculation type, or change the Stat Format setting on the setup menu. The following operations are not supported by the Stat Editor:1MtJ,@!jJIMtJ(M-),@@I(STO), Pol, Rec, +R, and multi-statements also cannot be input with the Stat Editor. To change the data In a cell: In the Stat Editor, move the cursor to the cell that contains the data you want to change, input the new data, and then press §. To delete a line: In the Stat Editor, move the cursor to the line that you want to delete and then press @). To Insert a line: In the Stat Editor, move the cursor to the location where you 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 following key operation: @!!III) (ST AT/DIST) [I) (Edit) [IJ (Del-A). . Obtaining Statistical Values from Input Data To obtain statistical values, press @9 while in the Stat Editor and then recall the statistical variable (ax, rx', etc.) you want. Supported statistical variables and the keys you should press to recall them are shown below. For single-variable statistical calculations, the variables marked with an asterisk (') are available. Sum: rx", rx', ty', ty,!:.!:y, tx", rx'y, rx' @!j)II) (STAT/DIST) [I) (Sum) II) to !II Number 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, Estimated Values: X,y @!!III) (ST AT/DIST) [ID(Reg) II) to [ID Regression Coefficients for Quadratic Regression: A, B, C, Estimated Values: XI, Xz, Y @!!III)(STAT/DIST) . See the formulas. table [ID(Reg) II) to lID at the beginning of this section olthe manual for the regression . .£,.£" .£, and yare not variables. They are commands of the type that take an argument immediately before them. See "Calculating Estimated Values. for more information. @Iffi II)(STATIDIST)(ID(Reg)rn (B)13 Results: Minimum Value: minX., minY, Maximum Value: maxX., maxY @!!)II) (STAT/DIST) lID(MinMax) II) to rn (When the single-variable statistical calculation is selected.) @!!)II) (STAT/DIST) lID (MinMax) II) to (!) (When a paired-variable statistical calculation is selected.) 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 input the functions and commands for performing normal distribution calculation from the menu that appears when you perform the following key operation: @!!)II) (STAT/DIST) (ID(Distr). See "Performing Normal Distribution Calculations. for details. h ={1;1, 2;2, 3;3, 4;2, 5;1)), and calculate the mean ~ To determine STAt @J1ID(STAT)II)(1-VAR) 113213313213 _ Results: Mean: 3 ~ [ [email protected]!!) II) {STAT/DIST)(!){Var)lID (crx)13 [ L 1547005381 for y when x = 160 in the Result: 8106.898 Performing Normal Distribution Calculations While single-variable statistical calculation is selected, you can perform normal distribution calculation using the functions shown below from the 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 of standard normal distribution as illustrated below. Population Standard Deviation: 1.154700538 To calculate the linear regression and logarithmic regression correlation coefficients for the following paired-variable data and determine the regression formula for the strongest correlation: (x, y) = {20, 3150), (110, 7310), (200, 8800), (290, 9310). Specify Fix 3 (three decimalplaces) for resulls. SfAT @)1ID(STAT)rn(A+BX) ' 20 13 110 13 200 13 290 13 <i> <E\ 7310 138800 13 931013 @@!jJII)(STATIDIST)(ID(Reg)lID(r)§) 1!91!!i11I)(STAT/DIST)(ID(Reg)lID(r)§) @1!!iI1I)(STAT/DIST)IID(Reg)II)(A)§) E-31 . IiJ FIX Keaa ~BDa ~ ... l .iiII I 1!91!!i11I)(STAT/DIST)II)(Type)(!)(ln AJeAX o tOt ~t: l h 0 t This function is preceded by the argument X, and determines the normalized variate X.t _X~i @!!)~(SETUP)<i> (!){STAT) rn (OFF) @!jJ1i!ID(SETUP)IID(Fix)1ID 315013 value iii ~I' ~I~I [email protected]!!) II)(STAT/DIST)(!){Var)rn{x)§) the estimate regression formula produced by logarithmic regression of the data in h. Specify Fix 3 for the result. (Perform the following operation after completing the operations in h.) 1601mII){STATIDIST) (ID(Reg) (IDlY) 13 1 8106.8981 Important: Regression coefficient, correlation coefficient, and estimated value calculations can take considerable time when there are a large number of data items. and population standard deviation. @!!)1i!ID(SETUP)<i>(!)(STAT)II)(ON) 1§)2§)3§)4§)5§)<i><E> 2357.5321 Calculating Estimated Values Based on the regression formula obtained by paired-variable statistical calculation, 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 quadratic regression) also can be calculated for a value of y in the regression formula. @ To input the single-variable data x = (t, 2, 2, 3, 3, 3, 4, 4, 5), using the FREQ column to specify the number of repeats for each items (Ix.; freq.) ~ j 1 Linear Regression Correlation Coefficient: 0.923 logarithmic Regression Correlation Coefficient: 0.998 logarithmic Regression Formula: y = -3857.984 + 2357.5321nx . 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) [ 0.9231 [ 0.9981 [ -3857.9841 X) @!!)@ii!)(SETUP)IID(Fix)[email protected] lID(STAT)1I)(1-V AR) 013 113213313413513613713913 s;." 10§)$<E\1 132131 13213213213313 413213113 E-32 Iyl F~~U fIX lal~1 m AK STAt Octal @ 31m m(STAT/DIST)CID(Distr)(!)(~t)@ -0.762 iii fiX STAt I!i!iI m (STA T/DIST) CID (Distr) m(POI!i!I (II @ 0.223 Positive: To enter the BASE-N Mode, switch to the binary mode, and I / Bin 0000000000000000 Bin 111%)1 @ 10000000000000100 @I£J(DEC) ImIID(BASE)~m(d)10 I%) m IID(BASE)~ rn(h) 10 I%) @!!)IID(BASE)~ 1 I§) (F)I%) 1 @ / I Continuing fr9m above, switch to the octal mode and calculate 78+ 18 Note: . @1]!!)(OCT)71%)1 @ . 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-N Mode, input of fractional (decimal) values and exponents is not supported. If a calculation result has a fractional part, it is cut off. The input and oulput ranges is 16 bits for binary values, and 32 bits for other types of values. The following shows details about input and output ranges. . Base-n Mode Binary Input/Output Ranges Positive: 0000000000000000 ~ x ~ 0111111111111111 Negative: 1000000000000000 :a x ~ 1111111111111111 E-33 To calculate 1510x 37,0 in the decimal mode, and then convert the resultto hexadecimal, binary,andoctal @1£J(DEC)[email protected] 555 @(HEX) 00000228 (§](BIN) 0000001000101011 I]!!)(OCT) 00000001053 Logical and Negation Operations Oct 00000000010 [ 36 You can use anyone of the following key operations to convert the currently displayed calculation result to another type of value: ~(DEC) (decimal), @(HEX) (hexadecimal), (§](BIN) (binary), I]!!)(OCT)(octal). 00000~~6 I lID (b) 10 I%) @!!)IID(BASE)~ @(o) 10 @ Continuing from above, switch to the hexadecimal mode and @@(HEX) calculate IF..+ I.. To calculate 10.. + 10,6+ 10H 10. and display the result as a decimal value Converting a Calculation Result to another Type of Value ~ I§!)@(BASE-N) (§](BIN) 00000000 ~ x ~ 7FFFFFFF You can input a special command immediately following a value to specify the number mode of that value. The special commands are: d (decimal), h (hexadecimal), b (binary), and 0 (octal). Press @[email protected](BASE-N) to enter the BASE-N Mode when you want to perform calculations using decimal, hexadecimal, binary, and/or octal values. The initial default number mode when you enter the BASE-N Mode is decimal, which means input and calculation results use the decimal number format. Press one of the following keys to switch number modes: ~(DEC) for decimal, @(HEX) for hexadecimal, (§](BIN) for binary, or I]!!)(OCT) for octal. calculate112+ 12 Hexadecimal Specifying the Number Mode of a Particular Input Value 0.223 !"'"88!e;p~culaiibn~(84~Ejit / -2147483648:ii x::; 2147483647 Negative: 80000000 :; x :5 FFFFFFFF Results:Normalized variate (~t): -0.762 P(t): Decimal P(Ans) I Positive: 00000000000 ~ x ~ 17777777777 Negative: 20000000000 :; x ::; 37777777777 ,3.t Your calculator provides you with logical operators (and, or, xor, xnor) and functions (Not, Neg) for logical and negation operations on binary values. . Use the menu that appears when you press m lID(BASE)to inputthese logical 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,) @ [email protected]!jJlID(BASE)m(and) [email protected] 0000000000001000 To determine the logical OR of 10112 and 110102(101hor 11010,) @10111!i!!11ID(BASE)rn(or)[email protected] 0000000000011011 E-34 J / 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") @ [email protected]](BASE)@)(xnor)1011E1 1111111111110101 / To determine the bitwise complement 011010, (Not(101O,)) @[email protected]](BASE)II)(Not)1010rn lEI 1111111111110101 / To negate (take the two's complement) of 10110" (Neg(10110")) @[email protected]](BASE)!II(Neg)101101 CDlEI 1111111111010011 " A message appears to let you know when there is no solution or when there are infinite solutions. Pressing @ or lEI will retum to the Coefficient Editor. Changing the Current Equation Type Setting Press [email protected]!II(EON) and then select an equation type from the menu that appears. Changing the equation type causes the values of all Coefficient Editor coefficients to change to zero. EaN Mode Calculation Examples / Note: In the case of a negative binary, octal or hexadecimal value, the calculator converts the value to binary, takes the two's complement, and then 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 in the EON Mode to solve simultaneous linear equations with two or three unknowns, quadratic equations, and cubic equations. x+ 2y=3, 2x+ 3y=4 [email protected]!II(EON)IIJ(a.X + b,y = c,) 1 lEI 2 lEI 3 lEI Press this key: Simultaneous linear equations with two unknowns Simultaneous linear equations with three unknowns lIJ(a,X + b,y = c,) Ouadratic equation @](aX'+bX+c=O) Cubic equation @)(aX'+bX'+cX+d=O) @ J 4 lEI / (X=) -1 (V=) 2 x- y+ Z =2, x + y-z = O,-x+ y+z =4 1!Q!!)!II(EON)rn(a,X + boY+ c..z = d,) 1 IEIIB 1 lEI 1 lEI 2 lEI 1 lEI 1 IEIIB 1 IEIO lEI 2 IBI lEI1lEI1lEI4 lEI .'I -,,, m c 2x"-3x-6=0 will clear all of the coefficients rmm I!!ffiII)(EON)@](aX' + bX + c = 0) 2 IEIIB 31E11B 6 lEI lEI (X,=) 3 +{ff (X,=) 3 -{ff (X-Value Minimum=)" to zero. Important: The following operations are not supported by the Coefficient Editor. 1MB,@!iI1MB(M-),[email protected]!!I(STO). Pol, Rec, +R, andmulti-statements also 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 to the Coefficient Editor. "You can scroll between the solutions using the ~ [email protected] keys. " To retum to the Coefficient Editor while any solution is displayed, press @. Note: "Even il Natural Display is selected, the solutions of simultaneous linear equations are not displayed using any form that includes "Values cannot be converted to engineering notation on the solution screen. E-35 4 (X=) 1 (V=) 2 (Z=) 3 rn(a,X + b,y + c..z = d,) / ... -1-' , 21 4 lEI 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): 21E111E11B 3 lEI "To change a cO,efficientvalue you already have input, move the cursor to the appropriate cell, input the new value, and then press lEI. " Pressing Mo. 2 lEI 3 lEI 4 lEI 1. Press [email protected] II) (EON) to enter the EON Mode. 2. On the menu that appears, select an equation type. To select this calculation type: m [ . ~ . 3 "4 (V-ValueMinimum=)- _ 5: The local minimum value is displayedwhen a > O.The local maximumvalue is displayed when a < O. / x'-2v'2x+2=0 rmm I!Q!!)!II(EON)@](aX'+bX + c = 0) 11E11B2~2rn1El21E11E1 (X=) V2 r. E-36 J / x"-2r-x+2=0 (!i!!J (ID(EON) I!J (aX' + bX" + eX + d Matrix Answer Memory =0) 1 EJIE)2EJIE) 1 EJ2EJEJ ~ ~ (X,=) -1 (X>=) 2 (X,:) 1 r MatrixCaICulationsjH~TRI~L ..: :1 Use the MATRIXMode to perform calculations involving matrices of up to 3 rows by 3 columns. To perform a matrix calculation, you first assign data to special matrix variables (MalA, MatB, Mate), and then use the variables in the calculation as shown in the example below. h 2 -1 [ ][ ] 1. Press . ~ -1 2 (MalA+MatB) [!) (MATRIX) to enter the MATRIX Mode. 2. Press [D (MalA) rn (2x2). This will display the Matrix Ednor . . Assigning and Editing Matrix Variable Data 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. [ ][ ] 1 1 The MatAns variable can be used in calculations as described below. To insert the MalAns variable into a calculation, perform the following key operation: I!!!II!J(MATRIX)[!)(MalAns). Pressing anyone of the following keys while the MatAns screen is displayed willswitch automatically to the calculation screen: IE, EJ, IXJ, ~,~,I£I, 1!!!I~(x"). The calculation screen will show the MalAns variable followed by the operator or function for the key you preSSed. Important: The following operations are not supported by the Matrix Editor. 1M3,I!!!J 1M3(M-), I!!!I §(STO). Pol, Rec, +R, and multi-statements also cannot be input with the Matrix Editor. To assign new data to a matrix variable: Toassign[~ :]toMalAand[_; -~]toMatB,andthenperform 2 1 x 2 -1 the following calculations: 1 1 -1 2 (MalAxMatB), 2 1 + Whenever the result of a calculation executed in the MATRIX Mode is a matrix, the MalAns screen will appear with the result. The resull also will be assigned to a variable named "MalAns". To assign 1 0 -1 to MaIC [0-1 1] for input 0] of the elements of the 2 x 2 matrix you specified for MatA. MATm l!!jJ I!J(MATRIX) e CD(Dim)!IJ(MatC) 1!J(2x3) I [ o I D - Y 1IIIi\] 1 EJOEJIEI1 EJO§)IE) 1 EJ1 EJ 3. Input the elements of MalA: 2 EJ 1 EJ 1 EJ 1 EJ. 4. Perform the following key operation: I!!!II!J (II (MatB)rn(2x2). This will display the Matrix Editor for input of the matrix you specified for MatB. 5. Input the elements of MatB: 2 EJ 1BJ1 EJ 1BJ1 EJ 6. Press @ to advance to the calculation screen, . (MATRIX) (II (Data) elements of the 2 x 2 2 EJ. and perform the first calculation (MatAxMatB): I!iiiII!J (MATRIX)!IJ (MalA) I2D I!!!II!J(MA I!J (MatB) EJ. This will display1he MalAns screen with the calculation results. TRIX) . MAIm MatAxMatll 1-; ~ 01 I] '..Ii;;;;;;;;;;;:MAlmD 3 i "MalAns. "Ans" S~ndS tor Note: "MalAns" stands for "Matrix Answer Memory". See "Matrix Answer Memory" for more information. 7. Perform the next calculation !IJ (MalA) IE I!!!II!J MATm MatA+MatEl (MatA+MatB): @ I!!!I !II (MATRIX) (MATRIX) !II (MatB) EJ. o ..1-, ~I 1-0 MAT m 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 key operation: I!!!II!J(MATRIX)(II(Data)[D(MalA). . If you want to copy MalAns contents, perform the following to display the MalAns screen: @ I!!!II!J (MATRfX) [!) (MalAns) EJ. 2. Press I!!!I ~(STO), and then perform one olthe following key operations to 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. [ 2 ] from £..1, The following examples use MalA = 1 1 and MatB = -1 and MatC = [6 _~ -:] 4 from~. You can input a matrix variable into a key operation by pressing I!!!II!J (MATRIX)and then pressing one of the E-37 followingnumberkeys: !IJ(MalA),I!J(MatB), (ID(MaIC). E~ 1 I . Be sure to input the X variable . h. 3 x MatA (Matrix scalar multiplication). ..1-, @3!IDMatA(5)l-3 Obtain the determinant of MatA (det(MatA)). @ ~ L3. (!)(MATRIX) ILl (det) MatA I]) (5) Obtain the transposition ..~ of MatC (Tm(MatC)). @~(!)(MATRIX)IID(Tm) 6 MatCI]) (5) I -Y For this prompt: Start? -jJ End? Obtain the inverse matrix of MatA (MatA"). Note: You cannot use ~ for this input. Use the ..~ @MatAIa;)I5) Obtain the absolute h ..1l-j &] value should be sequentiaily incremented as the number table is generated. If you specify Start = 1 and Step = 1, X sequentiaily will be assigned the values 1. 2. 3. 4. and so on to generate the number table until the End value is reached. ~ for this input. Use ~ to specify squaring. and @!j)~ (x3)to specifycubing. @MatA~ (5) ~] @[email protected]!j)~(x3) (5) h Determine the MatA= [ ] ~ ~ ~ " To generate a number table for the functions f(x) = xl + g(x) = x3 - mmI ~] + for the range -1 :;; x;;; 1, incremented e M.. e @!j)@!i!)(SETUP) lID(TABLE)m(f(x),g(x)) !!!HID1])(X)(i) t 2 f(X)=X2+ M.. .. f-i o0 1.1~2' 0 l.m~ 0 e M.. 1 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 . (5) 19(X)=! Pressing (5) without inputting anything for g(x) wiil fCreating*7N nberTabiifrorn "Two' !!!HID1])(X)13 t I generate table based on .f(x)only. : F'ijnct.ion..!JTAB~ I I 789 [ ] + and in steps of 0.5 ILI(TABLE)f(X)=! row echelon form. @@!j)(!)(MATRIX)~CD(Ret)MatAml5) & . . 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 to the function input screen in step 2. Determine the square and cube of MatA (MatA'. MatA'). Note: You cannot use Inputthe lower limit of X (Default = 1). Inputthe upper limit of X (Default = 5). Note: Makesure that the End value is always greater than the Startvalue. Note: The Step specifies by how much the Start value of each element of MatB (Abs(MatB)). @l!§)ffiiiI(Abs) MatBI]) (5) Input this: Input the increment step (Default = 1). Step? Ia;)key to input "-'''. l~i L:z. a number . ---..- h (!!!HIDI]) (X)) when generating 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 a number e M.. 2 9(X)=X2_ _ ___ TABLE generates a number table based on one or two functions. You can use the function.f(x) orthe two functions.f(x) and g(x). See "Configuring the Calculator Setup" for more information. Perform the foilowing steps to generate a number table. 1. Press [email protected](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 (5)lEI1(5) 1(5)0.515) 1 1.5 0.5 2 -D.' 0.'5 -0.25 a''-1 a F(W) D.5I G7 -0.5 I -1 setting, while 20 rows are supported for the "f(x).g(x)" setting. "You can use the number table screen for viewing values only. Table contents cannot be ed~ed. "The number table generation operation causes the contents of variable X to be changed. Important: The function you input for number table generation is deleted whenever you displaythe setup menu in the TABLE Mode andsw~chbetween Natural Display and Linear Display. ~t!i'-q1ilii~ik)iiil¥J'"iT!!RL_ ~i"-] Use the VECTOR Mode to perform 2-dimensional and 3-dimensional vector calculations. To perform a vector calculation. you first assign data to special vector variables (VctA. VctB. VctC). and then use the variables in the calculation as shown in the example below. h Assigning and Editing Vector Variable Data Important: The following operations are not supported by the Vector Editor: 1iID. I!!ilIiID(M-). I!!iI ~(STO). Pol. Rec. +R. and multi-statements also cannot 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) 21518 1 1512151 Ie [ To assign (1. 2) to VctA and (3. 4) to VctB. and then perform the following 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 input R_ of the 2-dimensioflal vector for VctA. To edit the elements of a vector variable: E -A"stands vere DI 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. VctA+VctEl vere o -7 ..~ I 61 V~e -AnS- stands 4I for "VetAns". Note: "VetAns" stands for "Vector Answer Memory". See "Vector Answer Memory" for more information. Vector Answer Memory . Whenever the result of a calculation executed in the VECTOR Mode is a vector. the VctAns screen will appear w~h the result. The result also will be assigned to a variable named "VctAns". 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 cursor to the cell that contains the element you 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 copy VetA, for example, performthe following key operation: I!!iIIII(VECTOR) m (Data) (I) (VctA). " If you want to copy VctAns contents. perform the following to display the VctAns screen: @1!!iI1II(VECTOR)III(VctAns)l5I. 2. Press I!!ilIi!!!I(STO). and then perform one ofthe following key operations to 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 Examples The followingexamplesuse VetA= (1. 2) andVctB = (3. 4) from6. h 3 x VetA (Vector scalar multiplication). 3 x VetA - VetB (Calculation exampleusingVctAns) vere 61 @3lX)VctAl5I [..~ The VctAns variable can be used in calculations as described below. " To insert the VctAns variable into a calculation. perform the following andVctC = (2. -1. 2) from h. You can input a vector variable into a key operation by pressing I!!iIIII(VECTOR) and then pressing one of the following number keys: [ID(VetA). (!J(VctB), III(VctC). vere key operation: I!!iIIII (VECTOR) III (VctAns). " Pressing anyone of the following keys while the VctAns screen is displayed will switch automatically to the calculation screen: IE. 13. IX). 1:). The calculation screen will show the VctAns variable followed by the operator for the key you pressed. E-41 ~I [..., EIVctBIi) E-42 ~ . VctA. VctB (Vector dot product) @VctAt!!!I ([J(VECTOR)IL)(Dot)[email protected] h To change a coefficient value you already have input, move the cursor to the appropriate cell, input the new value, and then press @. Pressing @ will clear all of the coefficients to zero. Note: The following operations are not supported by the Coefficient Editor: !iE), t!!!IlMB(M-),I!!1!II§)(STO). Pol, Rec, +R, and multi.statements also cannot be input with the Coefficient Editor. 5. After all the values are the way you want, press @. . VCTm I VetA'VetB .. VctA x VctB (Vector cross product) @[email protected] Obtain the absolute values of VctC. I are displayed, press @. Note: Values cannot be converted to engineeringnotationon the solution screen. Changing the Inequality Type Press @2ffi<i)CD(INEQ) and Ihen select an inequality type from the menu thatappears. Changingthe inequalitytype causes the values of all Coefficient Editor coefficients to change to zero. VCTm @t!!!I ffiii)(Abs)VctCQ) @ This will display the solutions. To return to the Coefficient Editor while the solutions Abs(VetC) INEQ Mode Calculation Examples h. Determine the angle formed by VctA and VctB to three decimal places (Fix 3). lEI = (A.B) . = / x'+2x-3<0 rmm @!ID<i)CD(INEQ)CD(aX'+ bX + c) . (A.B) (cos 6 IAIIBI ,which becomes 6 cos- IAIIBI) [email protected](SETUP)[ID(Fix)!I) @[email protected])([J(VECTOR)IL)(Dot)VctBIJ)IE m(aX' + bX+ c < 0) VCTm fIX m t!!!I ffiii)(Abs)VctAIJ) @iiJffiii)(Abs) VctBIJ)Q)@ IJ) @ I cUI -3 m cos-I(Ans) ..... 2~ ,. Press @2ffi<i)CD(INEQ)to enter the INEQ Mode. 2. Onthe menu that appears, select an inequalitytype. @ .A<X<B / x'+2x-3;;; 0 rmm @2ffi<i)CD(INEQ)CD(aX'+bX+c) !I) (aX' + bX + c ;: 0) m ... I' I b ~) aX2+&X+C~O -3 m Press this key: Quadraticinequality Cubicinequality m (aX' + bX' + cX+ d ) m (aX'+ bX+c ) Math X~-3. HX 3. Onthe menuthat appears, use keys CDthroughI1Jto selectthe inequality symboltype and orientation. 4. Use the CoefficientEdrtorthat appears to inputcoefficientvalues. input the coefficients -3<X<1 1 @[email protected][email protected] To select this Inequality type: E-43 NItti 0.984 nx You can use the following procedure to solve a quadratic inequality or cubic inequality. 3 < 0, for example, m b. aX2+bX+c<O o ~gu~liiyC!lc..u!at1O"n$(i)lI!Qf To solve x' + 2x ~ m ... I · I b .~) aX2+bX+c<O 10.305 .c =-3 bypressing- [email protected] @[email protected] 1: aX2 +bX+C >° 2:aX2+bX+c<O 3:aX2+bX+c;'O 4: aX2+bX+C=0 (VetA' VctB)..(Ab~ I YCTm @iiJ l§j(cos")1!;) 1 Note: Solutions are displayed as shown here when Linear Display is selected. a = I, b = 2, 'E-44 -3 1 2. Input / 2.<'-3x2 e; 0 rmm @!i!)~ (])(INEQ)CIJ(aX'+ bX' + cX+ d) !I) (aX' + bX' + cX + d e; 0) 21EJ831EJ X=A.B~X IEJ I / = 12. IiJ M.th. 3. To verify, press IEJ. 4./9=12 X=O,~~X Em 3x>+3x2-x>0 4V9 4GSJ9 <E>l!i!!IlII (VERIFY) (]) (=)12 . You can select the equality symbol or inequality symbol from the menu that appears when you press l!i!!IlII(VERIFY). m ... I · 2 b -3 IIIIiIr. aX3+t.X2+cX+d~0 o ID @!i!)~(])(INEQ)CIJ(aX'+ bX' + cX+d) (])(aX'+ bX' +cX+ d > 0) 31EJ31EJ811EJ You can input the following expressions Mode. Math I b 3 c _I '-"1 aX3+bX2+cX+d>0 TRUE o . . for verification in the VERIFY Equalities or inequalities that include one relational operator 4 4 '" 3, " > 3, 1 + 2 :;; 5, (3 x 6) < (2 + 6) x 2, etc. = m, 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 memory when TRUE and 0 when FALSE. The input expression can be a total of = = = . 99 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 a value, m Note: Solutions are displayed as shown here when Linear Display is selected. A<X<B,C<X A= -1.263762616 B= C= 0.2637626156 0 Special Solution Display . "All Real Numbers" appears on the solution screen when the solution "No-Solution" Ii) (]) (INEQ) (]) (aX' + bX + c) !I) (aX' + bX + c e; 0) 1 IEJ 0 IEJ 0 IEJ IEJ . appears on the solution screen Malll .. +R, Pol and Rec 5..f'f) An expression All Real Numbers when no solution exists for (Example: . . in which a relational 1 = 1, cos operator iVEfill:'l~c_~."-- An expression ID that contains two of the following operators (Example: 4 < 6 '" 8) . An expression that contains (Example: 5 e; > 9) consecutive Malll TRUE/FALSE E-45 or function 2 Anexpression in whicha relationaloperator is enclosed in parentheses (Example:8 < (9 < 10» = To verify whether 4V9 12 is true rmm 1. Press @!!I~ CIJ(VERIF) to enter the VERIFY Mode. is inside of a fraction (8 ;a 9» An expression in which multiple relational operators that are not oriented in the same direction (Example: 5 ;a 6 e; 4) . VERIFY is a function you can use to verify whether an input equality or inequality is true (indicated by TRUE) or false (indicated by FALSE). The following shows the general procedure for using VERIFY. / to the variable. The followingtypes of expressions cause a Syntax ERROR and cannot be verified. An expression with nothing on the left side or right side (Example: = an inequality (such as X' < 0). rU~VERfFY assigned Expression Input Precautions rmm @!i!)~ currently of an inequality is all numbers. x2 i: 0 using the value functions cannot be used in an expression. In the VERIFY Mode, the calculator performs a mathematical operation on the input expression and then displays TRUE or FALSE based on the result. Because of this, calculation error can occur or a mathematically correct result may not be able to be displayed when the input calculation expression includes calculation that approaches the singular point or inflection point of a function, or when the input expression contains multiple calculation operations. E-46 in any combination relational operators VERIFYMode Calculation Examples " " " Variables that Accept Input To verifylog2 < log3 < log4 §2ml!i!j)[ID (VERIFY)@ «) § 31I11!i!!1 [ID(VERIFY)@«) TRUE ~4II1§)[ Toverifyo«t)'-t I rmm o I!!!J [ID (VERIFY) @ «) [ 8(ji)9<E>@lE!8(ji)9§) To verify 52 =25 =>'625 FALSE I rmm [email protected]!i!!1[ID (VERIFY) m (=) 251!i!!1[ID (VERIFY) m (=) ~ 625 151 [ TRUE I The following are distribution calculation variablesthat accept inputvalues. Nonnal PO x, a, p Normal CO Lower, Upper, a, p InverseNonnal Area, a, p (Tailsettingalways left.) Binomial PO, Binomial CO... x (or List), N, p Poisson PO, Poisson CD x (or List), p x: data, a: standard deviation (a > O),p: mean, Lower. lower boundary, Upper. upper boundary, Tail: probability value tail specification, Area: probability value (0 ;a Area ;a 1), List: sample data list, N: number of trials, p: success probability (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 List Screen forsample data input.Youcan inputup to 25 data samples for each variable. Calculation results are also displayedon the List Screen. Distribution calculation type ~Diitrja!ttPonca[q~ationi~'.$'Ill.-~J Youcan use the proceduresbelowto performsevendifferenttypesof distribution calculations. 1. Press @!i!)<i>IID(DIST)to enter the DIST Mode. 2. On the menu that appears, select a distribution calculation type. Press thfs key: To select this type of calculation: Nonnal probability density Nonnal cumulative distribution m(Nonnal PO) rn(Nonnal CD) Inverse normal cumulative distribution lID (Inverse Nonnal) Binomial probability Binomial cumulative distribution <i> m(Binomial CD) Poisson probability Poisson cumulative distribution <i> lID(Poisson CD) @(Binomial PO) <i>m(Poisson PO) I I Value at current cursor position X:Sample data Ans: Calculation results To edit sample data: Move the cursor to the cell that contains the sample data 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 to delete and then press i!ID. To insert sampfe data: Move the cursor to the position where you want to insert the sample data, press I!!!J m (ST A T/DIST) m (Edit)m (Ins), and then 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) 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 to the input screen of the first variable Note: To change the distribution calculation type after you enter the DIST Mode, press I!i!!Im(STAT/DIST)m(Type) and then select the distribution Distribution calculation accuracy is up to five significant type you want. dig~s. . . . . ~;~~~~~t ~g 3: Inverse Normal 4:BinomialPD e m(Nonnal PO)' N ormal PD:x? Normal e PD:cr? Normal e PD:J.\? 36151 . 2151 E-47 I E-48 o o Ans column of the List Screen when the value input for the corresponding sample data is outside the allowable range. p= [email protected] .1Jj;i~t~fiij:1i..!U$ 0.1760326634 . Pressing @ or @ retums to the x input screen. " To calculate binomial probability for the sample data pO, 11, 12, 13, 14} when N=15 and p=0.6 UList I!2ID ~ =",::""..2:=C1' .-1 Your calculator comes with 40 built-in scientific constants that can be used in any mode besides BASE-N. Each scientific constant is displayed as a unique symbol (such as tt), which can be used inside of calculations. To input a scientific constant into a calculation, press lID IZ)(CONST) and then input the two-digit number that corresponds to the constant you want. Result: 0.1760326634 2tVar III (DIST)t!I (Binomial PO) To input the scientific constant Co(speed of light in a vacuum), and display its value [ CONSTANT Number 01--40? @IIDIZ)(CONST) L_] Display the List Screen: I ~I~I.'~ (])(List) IBlOC! . m rnf1)(Co)@ " To specify data using parameter format, press rn(Var). [email protected]@[email protected]@[email protected] il.JuI.'S I BlOC! . " B @' lnomial PD:N? o [email protected]' lnomial ' 2 [email protected] " . B :I1 " Q~?~s' II 0.12&'1 Ii!I a.D&33l " x ~ 5 I"~ ,CO 299792458 1 To calculate Co= {£;ii'. Em m @~ 1~~IIDIZ)(CONST)lIIrn(€o) lID IZ)(CONST) III III(,uo)@ 1 299792458 o BlOC! 10 BlOC! D~B~33 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, rationalized 10; (ex)fine-structure constant 11: (re) classical electron radius 12; (Ac)Compton wavelength 13: (w) proton gyromagnetic ratio 14: (Acp)prolon Compton wavelength 15: (Acn) neutron Compton wavelength 16; (R) 17: (u) atomic mass constant 18; (,up) proton magnetic moment 19: (,ue)electron magnetic moment 20: (,un) neutron magnetic moment 21; (,up) muon magnetic moment 22; (F) Faraday constant 1~ I Results: x = binomial probability of 10 . x x x x = binomial probability of 11 = binomial probability of 12 = binomial probability of 13 = binomial probability of 14 I 1 0.18594 0.12678 0.063388 0.021942 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 appears if the input value is outside the allowable range. "ERROR" will appear in the . E-49 MllftA ~~~"o The following shows the two-digit numbers for each of the scientific constants. PD:p? _ " Malll.. E.50 Rydberg constant The following shows the two-digfi numbers for each of the metric conversion commands. 23: (e) elementary charge 24: (NA) Avogadro constant 25: (k) Boltzmann constant 26: (Vm) molar volume of ideal gas (273.15K, l00kPa) 27: (R) molar gas constant 28: (Co)speed of light in vacuum 29: (C,) first radiation constant 30: (C,) second radiation constant 31: (0) Stefan-Boltzmann constant 33: (po) magnetic constant 35: (g) standard acceleration of gravity 03:ftm 07: mile 09: n milem 13: gal (US) 21: ozg 25: atm magnetic flux quantum 36: (Go)conductance quantum I 14: I 04:mft km 11: acrem' mile gal (US) 15: gal (UK) I 19: krn/h mls 18: kmpc 22: goz 26: Paatm Pa 29: hpkW 30: kWhp 33: kg!. mJ 34: Jkgf. 38: .C.F 37: .FOC 37: (20)characteristic impedance of 38: (t) Celsius temperature vacuum 39: (G) Newtonian constant of gravitation 02: cmin 06:myd 10: mn 17: pckm 32: (eo)electric constant 34: () 01: incm 05: ydm 08: km mile 12: m'acre 16: I gal (UK) 20: mls kmlh 23: Ibkg 24: kglb 27: mmHgPa 28: Pa mmHg 31: kgf/cm' Pa 32: Pa kgf/cm' 35: Ibflin' kPa 36: kPa Ibflin' m 39: J cal 40: calJ Conversion formula data is based on the .NIST Special Publication 811 (1995).. Note: The J~cal command performs conversion for values at a temperature of 15.C. 40: (atm) standard atmosphere The values are based on CODATA (2010) recommended values. ~e.!l'ic convetsion:-__ _ --- The calculator's built-in metric conversion commands make fi simple to convert values from one unit to another. You can use the metric conversion commands in any calculation mode except for BASE-N and TABLE. To input a metric conversion command into a calculation, press I!!!I(iJ (CONV)and then input the two-digfi number that corresponds to the command you want. To convert 5 em into inches _ @[email protected](iJ(CONV) CONVERSION INumber 01~40? [__J Calculation Ranges, Number of Digits,~ and P~cision ! _ The calculation range, number of digfis used for internal calculation, and calculation precision depend on the type of calculation you are performing. Calculation Range and Number of Digits for Internal Calculation Precision " @)(I)(cm~in)§] ,5cmHn 1.968503937 / To convert 100 9 into ounces _ @ 1001!!!J(iJ(CONV)(I)(I)(9~oz)§] / To convert -31.C into Fahrenheit - @1BI311!!!J(iJ(CONV)IID(iJ(.C~.F)§] E-51 8 Function Calculation silU coax -23.8 15 digits In general,:l:1 at the 10th digit for a single calculation. Precision for exponential display is:l:l at the least significant digit. Errors are cumulative in the case of consecutive calculations. Input Ranges and Precision Functions 11009~OZ 3.527396584 1-31°C~OF m Precision :1:1x lo-"'to:l:9.999999999 x 10" orO Calculation Range tanr Input Range DEG 0"iiXI<9xI0' RAD O:ii iXI< 157079632.7 GRA O:iiLxl < 1 x10" DEG 0:5 LxI< 9 X 10' RAD O:ii iXI< 157079632.7 GRA 0;; LxI< 1 X 10" DEG Same as sinr, except when iXI= (211-1)x 90. RAD Same as sinr, except when iXI= (211-1)x1tl2. GRA Same as sinr, except when LxI= (2n-l) x 100. E-52 sin-1x cos-1x tarr'x sinhx coshx sinh-1x cosh-'x tanhx . 0;:;::;1 o ;:; ;; 9.999999999x 10'" o ;:i ;; 230.2585092 Iogx/Inx 10' e' Vx X' x-' 3.fX xl o < x ;:;9.999999999x 10'" -9.999999999 x 10":ii X 99.99999999 -9.999999999 x 10";; x;; 230.2585092 0:iix<1x10'''' <1x10'" nPr nCr Pol(x,y) Rec(r, 8) "" "" x' fly able . Range The range for calculation results that can be displayed in "form singular when using Natural Display is'Ixl < 10". Note, however, that internal calculation error can make it impossible to display some calculation results in "form. It also can cause calculation results that should be in decimal form to appear in "form. ;; 9.999999999x 10-' < 1 x 10'00;xO < 1 x 10'00 under "Calculation Error is cumulative and tends to be large in the vicinity of a function's point and inflection point. . o :ii :i 9.999999999 x 10'" O:ii as that described . x', -!./y, 'r, xl, nPr, nCr type functions require consecutive internal calculation, calculation. which can cause accumulation of errors that occur with each o :ii ;:ii4.999999999x 10'" 1 ;:ix ;:;4.999999999x 10'" tanlr'x Precision is basically and Precision", above.the same 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 message display: Pressing @ or @;) display the location of the error, or pressing 1!9 to clear the message andtocalculation. Displaying the Location of an Error o ;; x ,:;69 (x is an integer) 0;:; n < 1 x 10'., 0 ;:iir:ii n (n, r are integers) 1 :ii(nV(n-r)I)< 1 x 10'''' 0;; n < 1 x 10'., O;:iir:ii n (n, r are integers) 1 ,:;nVrl < 1 x 10'''' or 1 ;; nV(n-r)1< 1 x 10'00 ,IYI;; 9.999999999x 10'" While an error message is displaYed, press @> or @;) to return to the calculation screen. The cursor will be positioned at the location where the error occurred, ready for input. Make the necessary corrections to the calculation and execute it again. " When you input 14 + 0 x 2 em :ii 9.999999999 x 10" =by mistake instead 141Z101&!2§J I x> 0: -1 x 10'''' < ylogx < 100 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 y=O:x>O y < 0: x = 2n+1, 2n+1(m 0; m, n are integers) m However:-1 x 10'''' < 1/x logIYI< 100 Totalof integer,numerator,and denominatormust be 10 digits or less (including division marks). - -- - a < 1 x 10'. Ranlntl/(a,b) a < b; lal.lbI< 1 x 10'";b E-53 ERROR m [ACJ : Cancel [~J[.J:Goto o ;:i r:ii 9.999999999x 10" 8: Same as sinx lal,b, C< 1 x 10'''' ; 0 ;:;b, C The displayseconds valueis subject to an error of :I:1 at the second decimalplace. <1x10'''' Decimal... SexagesimalConversions 0'0 '0-;; ::i9999999'59'59- of 14 + 10 x 2 Math l!f - -. @;)(or @) [14+1J<2 - = @>1§J r+ IOx2-; 14 5' Clearing the Error Message Whilean error message is displayed,press 1!9 to returnto the calculation screen. Notethat thisalso clears the calculationthat containedthe error. Error Messages Math ERROR Cause: exceeds . . The intermediate or final result of the calculation you are performing the allowable calculation range. . Your input exceeds input range (particularty when using functions). the allowable The calculation you are performingcontains an illegalmathematical operation (such as division byzero). E-54 . Action: Check the input values, reduce the number of digits, and try again. When using independent memory or a variable as the argument of a function, make sure that the memory or variable value is within the allowable range for the function. . Stack ERROR The calculation you are performing has caused the capacity of Cause: The calculation the numeric stack or the command stack to be exceeded. you are performing has caused the capacity of the matrix or vector stack to be exceeded. Simplify the calculation expression so it does not exceed the Action: capacity of the stack. Try splitting the calculation into two or more parts. . . . . Syntax ERROR Cause: There is a problem with the format of the calculation you are performing. Action: Make necessary corrections. Argument ERROR Cause: There is a problem with the argument of the calculation you are performing. Action: Make necessary corrections. . . Dimension ERROR (MATRIX and VECTOR Modes only) Cause: The matrix or vector you are trying to use in a calculation was input without specifying its dimension. You are trying to perform a calculation with matrices or vectors whose dimensions do not allow that type of calculation. Action: Specify the dimension of the matrix or vector and then perform the calculation again. Check the dimensions specified for the matrices or vectors 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 variable in the equation you input. The solution variable that you specified is not included in the equation you input. Action: The equation you input must include an X variable when you do not specify the solution variable. Specify a variable that is included in the equation you input as the solution variable. . . Can't Solve Error (SOLVE feature only) Cause: The calculator could not obtain a solution. Check .lor errors in the equation that you input. Input a value Action: for the solution variable that is close to the expected solution and try again. . . Insufficient MEM Enror Cause: An attempt to generate a number table in th€ TABLE Mode whose conditions cause it to exceed the maximum number of allowable rows. The maximum number of rows is 30 when "f(x)" is selected for the setup menu table setting and 20 when '1(x),g(x)" is selected. Action: Narrow the table calculation range by changing the Start, End, and Step values, and try again. I Before Assuming Malfunction Calculator... --; J Perform the following steps whenever an error occurs during a calculation or when calculation results are not what you expected. Ifone step does not correct the problem, move on to the next step. Note that you should make separate copies of important data before performing these steps. 1. errors. Check the calculation expression to make sure that itdoes not contain any 2. Make sure that you are using the correct mOde for the type of calculation you are trying to perform. 3.11the above steps do not correct your problem, press the @ID key. This will cause 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 Calculator Setup". 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 if contrast is adjusted, or by failure of figures to appear on the display immediately after you tum on the calculator. If this happens, replace the battery with a new one. Important: Removing contents to be deleted. the battery will cause all of the calculator's memory 1.Press [email protected](OFF) to tum off the calculator. " To ensure that you do not accidentally tum on power while replacing the battery, slide the hard case onto the front of the calculator. 2. Remove the cover as shown in the illustration and Screw replace the battery, taking care that its plus (+) and minus H ends are facing correctiy. 3. Replace the cover. 4.lnmalize the calculator. @1!!1I1ID(CLR)[!)(AII)@(Yes) . Do not skip the above "0 stepl o Time Out Error Cause: The current differential or integration calculation ends without the ending condition being fulfilled. The current distribution calculation ends without the ending condition being fullilled. Action: Differential or integration calculation: Try increasing the tol value. Note that this also decreases solution precision. E-55 of the _ E-56 ! ..... SP8.£~~ Power Requirements: Built-in solar cell; button battery lR44 (GPA76) x 1 Approximate Battery life: 3 years (based on one hour of operation per day) Operating Temperature: O°C to 4Q°C (32°F to 104°F) Dimensions: 11.1 (H) x 80 (W) x 162 (D) mm '/," (H) x 3'/," (W) x 6'10"(D) Approximate Weight: 95 g (3.4 oz) including the battery .Frequently Asked Questions _ ___-== . 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 division operation 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 temporary storage of a single value. Ans Memory: Stores the result of the last calculation performed. Use this memory 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 multiple calculations. Variables: This memory is helpful when you need to uses the same value multiple times in one or more calculations. . Whatis the keyoperationto take me from the STAT Mode or TABLE Modeto a mode where I can perform arithmetic calculations? Press I!i!!II) (COMP). . HowcanIreturnthecalculator to Its Initialdefault settings? Perform the fQllowing operation; I!!iJ(IJ(ClR)II)(Setup)@(Yes) . WhenI execu1ea 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 that uses parentheses must be followed by a closing parenthesis. Failing to press alter the argumentto closethe parenthesesmay cause unwanted values or expressions to be included as part of the argument. m Example: (sin 30) + 15 1m Older(S-VPAM)Model: @301E [email protected] NaturalTextbook Display Model: Failure to press rn I!ImI @ 30m IE [email protected] here as shown below will resutt In calculation @301E E-57 15.5 15.5 of sin 45. [email protected] 0.7071067812 MI CAS I0 $ CASIO COMPUTER CO., LTD. 6-2, Hon-machi 1-chome Shibuya-ku, Tokyo 151-8543, Japan SA 1111-A Printed in China @2012 CASIO COMPUTER CO., LTD.

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