FX-82ES - Scientific calculator CASIO - Free user manual and instructions

USER MANUAL FX-82ES CASIO

fx-82ES fx-83ES fx-85ES fx-300ES fx-350ES User's Guide

About this Manual + The [MATH] mark indicates an example that uses Math format, wie he [LINE] mark indicates Linear format. For details about inputoutput formats, see “Specifying he Impu/ Output Forma”

• Keycap making indicate what a Key inputs or what function it perlorms. Bample: D, D. @. ©. @.&.ete

• Pressing the G) or (3 key followed by a second key perfoms the altemate function of îhe second key The alterate function is indicated by {he text printed above the key. F—— Anernate function Sin D + The following shows what the different colors of the alternate function key text mean. Key marking textis this color: | means this: Press (FJ and then the Key 10 access the applicable function. Press (AJ and inen the Key 10 inputine applicable variable, constant, or symbol Yellow Red + The following shows an example of how an alternate function operation is represented in this Users Guide. Example: GE) G (sin D © Indicates the function that is accessed by the key operation (Œ) Gi) belore it. Note that this is not part of he actual key operation you perform: + The following shows an example of how a key operation to select an on-screen menu item is represented in this Users Guide. Example: (D (Setup)

Indicates the menu item that is selected by the number Key operation (D) before it. Note that this is not part of ine actual key operation you perform.

The cursor key is marked with four arrours, indicating direction, as shown in the ilustration nearby.I this Users Guide, cursor Key operation is indicated as &, ©. ©, and ® + The displays and illustrations (such as key markings) shown in this Users Guide and the separate Appendix are for ilustrative purposes only, and may differ somewhat from the actual items they represent + The contents of this manual are subject to change without notice. + Inno event shall CASIO Computer Co, Lid. be liable to anyone for special, collateral, incidental, or consequential damages in connection with or ariing 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 he use of this product and the items that come with it M Using the Separate Appendix Wnenewer you see the symbol [Appendix] in is manual, it means you should reler to the separate Appendix. Example numbers (ike “<#021>" I is Users Guide refer 1 the corresponding example number in the Appendix, Space angl unit accordance win {ne marks in the Appendix Specity Degree or the angle unit Speciy Radian for he angle uni Ini zing the Calculato: Perlorm the following procedure when you want to initiale the caleulator and return the calculation mode and setup to ter Initial default settings. Note that his operation also ciears all data currently in caleulator memory. € O(CLR)| fl (AI) (Yes) + For information about calculation modes and setup settings, see Galeulation Modes and Caleulator Setup”. + Forinformation about memory see “Using Caleulator Memory

Safety Precautions Be sure to read the following safety precautions before using this calculator. Keep this manual handy for later reference. A caution ‘This symbol is used to indicate information that can result in personal injury or material damage if ignored. Battery + Aer removing the battery from the calculator, put it in a safe place where it wil not get into the hands of small children and accidentally swallowed. + Keepbatteries out of the reach of small children. I accidentally swallowed, consult with a physician immediately + Never charge the battery try to take the battery apart, or allow the battery to become shorted. Never expose the battery to direct heat or dispose of it by incineration. + Improperly using a battery can cause it lo leak and damage nearby items, and can create the risk of fire and personal injury. + Aays make sure that the battery positive @ and negative © ends are facing correctiy when you load it into the calculator. + Remove the battery if you do not plan to use the calculator for a long time (x-B2ES/H-B3ES/-360ES). + Use on the type of battery specified for this calculator in this manual. Disposing of the Calculator + Never dispose of the calculator by buming it. Doing so can cause certain components to suddenl burst, areating ne risk of ie and personal injury.

Handling Precautions + Be sure to press the (D) key before using the calculator for the first time. + Evenifthe calculator is operating normal replace the battery atleast once every three years (LR44 (GPA76)), two years (R03 {UM-4), or one year (LR03 (AM4). À dead battery can Ieak, causing damage to and malunction of {he caleulator. Never leave a dead battery in the caleulator. + The battery that comes with this unit discharges slightiy during shipment and storage. Because of this, It may require replacement sooner than the normal expected battery life. + Low battery power can cause memory contents to become corrupted or lost completely. Always Keep written records of ll important data. + Avoid use and storage of the calculator in areas subjected to temperature extremes. Very low temperatures can cause slow display response, total failure of 1ne display, and shortening of battery life. Also avoid leaving the calculatorin directsunight, near a window, near a heater or anywhere else i might be exposed 0 very high temperatures. Heat can cause discoloration or deformation of 1he caleulators case, and damage 1 intermal circuit. + Avoid use and storage of the calculator in areas subjected to large amounts of humidity and dust. Take care never to leave 1he caleulator were might be splashed by water or exposed to large amounts of humidiy or dust. Such conditions can damage internal circuiry. + Never drop the calculator or otherwise subject it to strong impact. + Never twist or bend the calculator. AAvoid carrying Îhe caleulator in the pocket of your trousers or other tight-fiting clothing where it might be subjected 10 1wisting or bending. + Never try to take the caleulator apart. + Never press the keys of the calculator with a ballpoint pen or other pointed object. + Use a so, dry cloth to clean the exterior of the calculator. Ifthe calculator becomes very di, wipe ff with a cloth moistened in a weak solution of water and a mil neutral household detergent Wring out al excess liquid before wiping the caleulator. Never use {hinner, benzene or olher volatile agents to clean the calculator Doing so can remove printed markings and can damage the case.

Before Using the Calculator M Removing the Hard Case Before using the calculator slide its hard case downwards to remove it and then aff ine hard case to the back of the calculator as shown in the illustration below. B Turning Power On and Off 0 turn on the caleulator. + Press Gr) RO(OFF) to turn of the calculator. M Adjusting Display Contrast ME (EETUP)© Œ(ACONT>) ‘This displays the contrast adjustment screen. Use @ and © to adjust display contrast. After he setting is the way you want, press CONTRAST LIGHT Dark tai Dei + You can also adjust contrast using @ and ® while the mode menu (which appears when you press (M) is on the display. Important!

• Wadjusting display contrast does not improve display readabilt, it probably means that battery power is low. Replace {ne battery E-5

M About the play Your calculator has a 81-dot x 96-dot LCD screen. Example: input expression —| ETONEEE Caleulation result 4 M Display Indicators STAT Means this: The Keypad has been shiied by pressing the Gr) | key. The keypad will unshift and this indicator will disappear when you press a key, The alpha input mode has been entered by pressing pm |" @3 key. The alpha input mode will be exted and this indicator wil disappear when you press à Key. M | There is a value storedin independent memory The caleulator is standing by for Input of a variable STO | name to assign a value to the variable. This indicator appears after you press A ÆSTO) The caleulator is standing by for input of a variable RCL | name to recall the variable’s value. This indicator appears after you press Æ) STAT__ | The calcurator is in ine STAT Mode D | Tne defaut angle unitis degrees. H | The defaut angle unis radians. | Tnedefautangie uniis grads. FIX__[ A fixed number of décimal places 15 in effect. SCI__ | A fixed number of significant aigits 1 in effect Math | Main siyre 15 selected as ie npuvoutput format Calculation history memory data avallable and can YA | be replayed, orthere is more data above/below the current screen Disp | 1° display current shows an intermediae result of a mult-statement calculation.

Important! + For a very complex calculation or some other type of calculation that takes a long time to execute, the display may show only the above indicators (without any value) wie performs the calculation internal Calculation Modes and Calculator Setup H Calculation Modes When you want to perform this type of Selectinis operation: mode: General calculations COMP Statistical and regression calculations STAT Generalion of a number table based on an expression TABLE Specifying the Calculation Mode

1) Press ŒD to display the mode

menu. (2) Press he number key that correspands to the mode you want to select. + To select the STAT Mode, for example, press (2) M Configuring the Calculator Setup Pressing EF] ŒJ(SETUP) displays the setup menu, which you can Use to control hour he caleulations are executed and displayed. The setup menu has two screens, which you can jump between using ® and ® + See ‘Adjusting Display Contras! “ACONTR”. Specifying the Input/Output Format For this InpuVoutput format: | Perlorm this key operation: Main 69 @2 D (MIO) Linear Es) 65 (@) (LinelO)

fr information about how to use

Specifying the Fraction Display Format Tps TR ram by operation. Med GEO ET] Improper CEE) Specifying the Statistical Display Format Use the following procedure to turn display of the frequency (FREG) column of the STAT Mode STAT editor screen on or of. To specify this: Perform this Key operation: Show FREQ Coumn [59 © ©(STAN TD (ON) Hide FREQ Column __ [© @9) © ©(STAN (OFF) Specifying the Decimal Point To specify this decimal u Point display format. | Perform this key operation: Dot (.) Er) (9 © ()(Disp) (D (Dot) Comma (,) EE) © © (Dsp) D (Comme) + The setting you configure here is applied for calculation results only. The decimal point for input values Is always a dot (.). play Format M initializing the Calculation Mode and Other Settings Performing the following procedure initializes the calculation mode and other selup setings as shown below. OLA) (Setup) (Vs) This setting: Is initialized to this: Calculation Mode COMP InputlOutput Format MthiO Angle Unit Deg Display Digits Normi Fraction Display Format de Statistical Display OFF Decimal Point Dot + To cancel initiaization without doing anything, press RD(Cancel) instead of &)

Inputting Expressions and Values M inputting a Calculation Expression U Standard Format Your caleulator lets you input calculation expressions just as hey are written. Then simply press the (] key to execute it. The calculator automaticaly judges the calculation priority sequence for adcion subtraction, muliplication, and division, functions, and parentheses. Example: 2 (5 + 4) 2 x (-3) =

Inputting a Function with Parenthesis When you input any ofthe functions shown below, is automatically input with the open parenthesis {() character. Nexl you need 10 input he argument and ne closing parenthesis ()) sin, cos(, tan(, sin", cos", tan Ÿ{, sin, cosh(, tanh(, sin", cosh-1{ tan 1 log(, In, e*{, 10, V_(, WT (, Abs(, Pal, Rec Rnd( Example: sin 30 = EG Sov0oe Ein Pressing ED inputs “sin( + Note that the input procedure is different if you want to use Math format. For more information, see “Inputting with Math Format. Omitting the Multiplication Sign You can omit he muliplication sign (+) in any ofthe following cases. + Before an open parentheses ([ ): 2 x (5 + 4), etc. + Before a function with parenthesis: 2 x sin(80), 2 x V” (8), etc. + Belore a variable name, constant or random number: 20xX 2x, etc. Final Closed Parenthesis You can omit ane or more closed parentheses that come at he end of a calculation, immediately before the (=) key is pressed. For details, see “Omiting a Final Closed Parenthesis” E-10

Displaying a Long Expression The display can show up lo 14 characters at a time. Inputting {ne 61h character causes {he expression Lo shift o the le. A this time, the < indicator appears to 1e left of the expression, indicating that itruns off the left side of he screen Input expression: 1111 + 2222 + 3388 + 444 Displayedporon: 142222888844 à] Gursor + When the 4 indicator is displayed, you can scroll left and view ne hidden part by pressing ne @ key. This wil cause the > iIndicator Lo appear to the right of ne expression. At this time, you can use the ® key to scroll back. Number of Input Characters (Bytes) + You can input up to 99 bytes of data for a single expression. Basicall, each Key operation uses up one byle. À function that requires two key operations to input (ke (RE) Gr (sin”*)) also uses. ny one byte. Note, however, (nat when you are inputing functions wih Malh format, each item you input uses up more {nan one byte. For more information, see “Inpuiting with Math Format + Normally the input eursor appears as à staight vertical (Î) or horizontal (M) flashing line on 1he display screen. When ihere are 10 or fewer bytes of input remaining in the current expression, 1ne cursor changes shape to M 10 let you know. If the M cursor appears, terminale the expression at a convenient point and caleulate 1he resulL M Correcting an Expression This section explains how to comect an expression as you are inputig it. The procedure you shouid use depends on whelher you have insert or ovenwrite selected as the input mode: About the Insert and Overwrite Input Modes With the insert mode, the displayed characters shif to the left to make room when you input a new character With the avernrite mode, any new character you input replaces the character at 1he current ursor position. The initial default input moe is insert You can change to the ovenwrite mode when you need i + The cursor is a vertical flashing line (Î) when the insert mode is selected, The cursor is à horizontal flashing line () when the overwrite mode is selected + The initial default for Linear format input is 1he insert mode. You can switch ta the ovenwrite mode by pressing Œ) ŒY(INS) E-11

+ With Math format, you can only use the insert mode. Pressing 6°) Œ(INS) when the Math format is selected does not switch to the overwrite mode. See “Incorporating a Value into a Function” for more information: + The caleulator automatically changes to the insert mode whenever you change the inpu/output format from Linear to Math Changing the Character or Function You Just Input Example: To correct 1he expression 369 x 13 so it becomes x12 COce0S | | il?

Deleting a Character or Function Example: To correct 1e expression 369 x x 12 so it becomes 369 x 12 Insert Mode: © © © & © © © | 369xx1 21 ° ©@[gt2 ° set Overurte Mose 5 DORE |369x12. CCOIEPTE si? Correcting a Calculation Example: To correct c0s(60) so it becomes sin(60) [UNE] Inser Mode: 8000 /costE8) ” E-12

eeeelm S[sindee) ° Overurte Mo = BB00|cos(68) CCCOERCTES S{sintsa) ° Inserting Input into a Calculation Always use the insert mode for this operation. Use @ or ® to mve the cursor lo the location where you want 1 insert new input and then input what you want M Displaying the Location of an Error If an error message (like “Math ERROR! or “Syntax ERROR" appears when you press ), press @ or ®. This will display the part of the calculation where the error occurred, with the cursor positioned at the error location. You can then make necessary corrections. Example: When you input 14 + O x 2 = by mistake instead of 14 + 10x2= Use the insert mode for the following operation.

You can also exit ie error screen by pressing F3, which clears the calculation. E-13

M inputting with Math Format When inputing with Math format, you can input and display fractions and some functions using the same format as they appear in your textbook. Important! + Certain types of expressions can cause the height of a calculation formula to be greater than one display line. The maximum allowable height of a calculation formula is two display screens (81 dots x 2) Further input will become impossible if the height of the calculation you are inputing exceeds the allowable limit. + Nesting of functions and parentheses is allowed. Further input will become impossible if you nest 100 many functions and/or parentheses. If this happens, divide the calculation into multiple parts and caleulate each part separately. Functions and Symbols Supported for Math Format Input + The “Bytes” column shows the number of bytes of memory that are used up by input Function/Symbol Key Operation _| Bytes Improper Fraction E 9 Mixed Fraction MED 13 logla.P) (Logarinm) E] 6 107x (Power of 10) Er C9 (10' 4 Ex (Power are) GO 4 Square Root 4 Cube Root EE) Ê Square, Cube AE) 4 Reciprocal E] 5 Power 4 Power Root CEE] Ê Absolute Value o] 4 Parentheses © oo) 1 Math Format Input Examples + The following operations are al periormed while Math format is selected + Pay close attention 10 the location and size of he cursor on {he display when you input using Math format. Example 1: To input 29 + 1 E-14

BDs Example 2: To input 1 + \Z+ 3 [MATH] oecal,g CRE CEOIPEES Example [MATH] DDBBBDCE®0 BJAIE] nue 2x2 + When you press Æ and obtain a calculation result using Main format, part of the expression you input can be cut off as shown in ne Example 3 screen shol. If you need to view the entire input expression again, press GE and then press ©. Incorporating a Value into a Function When using Maïh format, you can incorporae part of an input expression (a value, an expression within parentheses, el. into a function. Example: To incorporate the expression inside of the parentheses of 1 + (24 3) + 4 into the V function [mat]

[1HC2+89+d Move the cursor to here. mans 14287 ‘This changes he shape of the eursor as shown here.

140252) +4 This incorparates the expression in the parentheses int the function +’ + Ifthe cursor is located left of a particular value or fraction (instead of an open parentheses), that value or fraction will be incorporated into the function specified here. + Ifthe cursor is located left of function, the entire function is incorporated inte the function specified here. E-15

‘The following examples show the other functions that can be used in the above procedure, and ihe required key operations to use them. Original Expression: 1 +16 2+3)+4 Function [Key Operation] Resulling Expression Fraci 12451 action ] 11848 44 loglaib) Eu] i+losiat(2+3) +4 14 0/2) +4 You can also incorporate values into the following functions. € Ep (10°), Œ(e'), Power Root Displaying Calculation Results in a Form that Includes V2, x, etc. (Irrational Number Form) Wnen"MthlO"is selected for the inputoutput format, you can specify whether calculation results should be displayed in a form that includes expressions like V2 and x (irational number form) + Pressing ©) after inputing a calculation displays the result using irational number form + Pressing Œ © after inputting a calculation displays the result using décimal values; Note + When “LinelO”is selected for the input/output format, calculation results are always displayed using decimal values (no irrtional number form) regardless of whether you press ©] or FF) © + form (form that includes x within irational number display) display conditions are the same as those for S-D conversion. For details, see “Using S-D Transformation”. Example 1: 2 +8 = 3V2 BICLISIOIE] 2 SDS E

+ The following are the calculations for which V form (form that includes Ÿ_ within irrational number display) results can be displayed. Aime caler of values aquere mode Ca) b. Tigonometrc function calculations ‘The following are the input value ranges for which V” form is always used for display of trigonometric calculation results. Input Value Range Angle Unit | Angle Value Input tor \_ Form Setting Calculation Result Deg | Unisoris h<9x 10 Rad | Muiples of radians 1x < 207 Gra | Mutipies ot À grads 1x < 10000 Calculation results may be displayed in decimal form for input values outside of the above range. M V7 Form Calculation Range Results that include square root symbols can have up Lo two terms {an integer term s also counted as a term) V” form calculation results use display formats like those shown below ; +avb, +d+ avt, +49 zdVe G F The following shows the range for each of the coefficients (a, b, c, d, eh. 18 a < 100, 1 < b < 1000, 1 £ c < 100 0 d < 100,0 £ e < 1000, 1 5 f< 100 E-17

Example: 2V3x4= 88 VE torm 3502 x 3 = 148.402424 decimal form 052)

2x(3-2V5)=6-4V5 V_ form 23 x (5 2V3 ) = 35.32566285 decimal form 116-4608) TOV2 + 15% V2 = 4503 + 10V2 V torm 15 x (10V2 + 3V3 ) = 290.0743207 decimal form 15V8 + 150V2) VE Va 4 VE = Va + av2 V torm Ra NE Ve 55087841 decimal form ‘The underined areas in the above examples indicate what caused decimal form to be used. Reasons why the results of the examples are displayed in decimal form - Value outside of the allowable range - More than two terms in he calculation result + Caleulation results displayed in V” form are reduced to a common denominator. av ,dve

a'Vb +d'Ve. + c'is he least common multiple of c and + Since calculation results are reduced to a common denominator, they are displayed in V._ form even if coefficients (4, c', and d') are outside 1he comesponging ranges of coefiients (a, , and d).

10V3 + 1102 Exmple: Tr * 1° 50 — + The results displayedin decimal form even vhen any intermediate result has three or more terms. Example: (1 + V2 + V3)(1 — 2 18 ) = -8.808070486 + Ifatermis encountered during the calculation cannot be displayed as a root (V_) form or a fraction, the calculation result is displayed in decimal form 4-2V6) Example: 1093 + V2

Basic Calculations (coMP) ‘This section explains how to perform arithmetic, fraction, percent, and sexagesimal calculations. All calculations inthis section are perlormed in the COMP Mode CO). M Arithmetic Calculations Use the ), ©, 6, and Æ) keys to perlorm arihmetic calculations. ul Ras ROEOGROE Fxe-4xi

+ The caleulator automatically judges the calculation priority sequence. For more information, see “Calculation Priority Sequence” Number of Decimal Places and Number of Significant Digits You can specily a fixed number of decimal places and significant digits for the calculation result. Example: 1 +6= Initial defauit setting (Normt)

CERN 8 decimal places (Fix3) 8.16% 8 significant digits (Sci3) Le Er + Formore information, see “Specifing the Number of Display Digits” Omitting a Final Closed Parenthesis You can omit any closed parenthesis ()) immediately preceding operation of the (Æ] key at he end of a calculation This is true only in the case of Linear format. E-19

M Fraction Calculations How you should input fractions depends on the input/output format that is currently selected. Improper race] — Mine fraction Math z 24 Format (ŒD©®) |(E "#2®0©8) PE 21138 Linear und Dent] met | Daominar Format ana { [E)] (080) + Under initial default settings, fractions are displayed as improper fractions + Fraction calculation results are always reduced before being displayed Appendix <aoo> 2 +1 8°2 <4002> sL+ 122 n {Fraction Display Format: ab/c) 4-3 — (Fracton Display Format: ab) + the total number of digis used for a mixed fraction (including integer, numerator, denominator, and separator symbols)is greater {han 10, the value is automatically displayed in decimal format. + The result of a calculation {hat involves both fraction and decimal values is displayed in decimal format. Switching between Improper Fraction and Mixed Fraction Format à Pressing the Gr)E9(a 2 <> À) key toggles the display fraction between mixed fraction and improper fraction format. E-20

hing between Fraction and Decimal Format C] 1 C] 7 8+2 8+2 LE) 312 + The format ofthe fraction depends on the currently selected fraction display format setting (improper fraction or mixed fraction). + You cannot switch from decimal format to mixed fraction format if the total number of digits used in the mixed fraction (including integer, numerator, denominator, and separator symbols) is greater than 10. + For details about the 3 key, see “Using S-D Transformation”. M Percent Calculations Inputing a value and pressing become a percent.

2) causes he input value to

c2e-oe (2) = x 2) cinoé> 10x20 20 (isox-22 <#005> Calculate wat percentage of B80is 660. (75%) <4006> Increase 2500 by 15%. (2875) <#007> Discount 3500 by 25%. (2625) <4008> Discount ine sum of 168, 98, and 734 by 20%. (800) <#009> 11300 grams are added to a test sample original weighing 600 grams, what is the percentage increase in weight? (160%) <#010> What is the percentage change when a value is increased from 40 to 467 How about to 487 (15%, 20%) M Degree, Minute, Second (Sexagesimal) Calculations You can perform calculations using sexagesimal values, and convert values between sexagesimal and decimal Inputting Sexagesimal Values ‘The following is ne syntax or nputing a sexagesimal value. {Degrees) fr3 (Minutes) fr (Seconds) fr} Appendix | <#011> Input 2°0'30. + Note that you must always input something for the degrees and minutes, even if they are zero. E-21

Sexagesimal Calculations + Performing the following types of sexagesimal calculations produces a sexagesimal result = Addition or subtraction of two sexagesimal values = Multiplication or division of a sexagesimal value and a decimal value <«tOt2 2°20'20" + 29'20" Converting Values between Sexagesimal and Decimal Pressing F3 while a calculation result is displayed toggles the value between sexagesimal and decimal <H018> Convert 2.255 ot sexagesimal equivalent. Using Multi-statements in Calculations You can use 1ne colon character () to connect Io or more expressions and execute them in sequence from ef Lo right when vou press ©) Example: To create a mult-statement that perorms the follouing to calculations: 8 + 3 and 3 x 3 Disp'indicates this is an intermediate result of a mult-statement.

Using Calculation History Memory and Replay {COMP) Calculation history memory maintains a record of each calculation expression you input and execute, and is resul. ou can use calcule Miaory memary In Ie CON Mode {@ D) oniy. Recalling Calculation History Memory Contents Press @) to back-step through calculation history memory contents. Calelation history memory Shots bot aleulalon expressions ani results Exemple: [UNE] — 5 D@0E)\3#+3 20e BE) 6

+ Note that calculation history memory contents are cleared whenever you turn of the caleulator, press the (B] key, change to the calculation mode or {he inputieutput format, or perlorm any reset operation + Galeulation history memory is limited. When the calculation you are performing causes calculation history memory to become fl the oldest calculation is deleted automatically to make room for the new calculation Replay Function While 2 calculation result is on the display, you can press GS and then @ or ® to edit the expression you used for ne previous caleulation. If you are using Linear forma, you can display the expression by pressing @ or ®, wihout pressing (fist.

Using Calculator Memor: Memory Name Description Answer Memory | Stores he last calculation result obtained. Calcullion results can be added to orsublracied dependent | om ndgpandant mama ha 1° dplay lemory indicator indicates data in independent memory. Sc variables named À BC, D. and can Vas be used for storage of individual values. This section uses the COMP Mode ((Æ9 (1)) to demonstrate how you can use memory. MH Answer Memory (Ans) Answer Memory Overview + Answer Memory contents are updated whenever you execute à calculation using any one of the following keys: ©. 1®, M. EE, ©. FE (STO). Answer Memory can hold up to 15 digis. + Answer Memory contents are not change if an error oceurs during the current calculation. + Answer Memory contents are maintained even if you press the &3 key, change the calculation mode, or tu of the calculator. Using Answer Memory to Perform a Series of Calculations Example: To divide the result of 3 x 4 by 30 [NE] OWOE (Continuing) © © © Pressing Œ] automatically inputs Ans" command + With the above procedure, you need to perform the second calculation immediately after the first one. If you need to recall Answer Memory contents after pressing (3, press the G) key. E-24

Inputting Answer Memory Contents into an Expression Example: To perform he calculations shown below 123 + 456 = 579 789-579 = 210

Fe ooceccwe)| 2456 Er | coese 789-Âns

M Independent Memory (M) You can add calculation results to or subtract results from independent memory. The “M” appears on the display when independent memory contains a value. Independent Memory Overview + The following is a summary of the different operations you can perform using independent memory To do this: Perform this Key operation: Add'ihe displayed value or result of the expression to Œ independent memory Subtract ne displayed value or result ofthe expression from | E)Œ(M-) independent memory Fecall current independent memory contents ŒEM + You can also insert the M variable into a calculation, which tells the calculator t use the current independent memory contents at {at location. The following is tne key operation or inserting the M variable. mEM + The “M indicator appears in ie upper let of ihe display when {ere is any value olher than zero stored in independent memory. + Independent memory contents are maintained even if you press ie E3 key change the calculation mode, or turn offihe calculator. E-25

Calculation Examples Using Independent Memory + Ifthe “NW indicator is on the display, perform the procedure under Glearing Independent Memory” before performing this example. Example: 23 +9 - 32 Boo) 53-6-47 B8EE# -45x2= 90 29+3- 38 (Total) 22 Clearing Independent Memory Press (0) GA) Æ(STO)E. This clears independent memory and causes the “M” indicalor 1o disappear from the display. M Variables (A, B, C, D, X,Y) Variable Overview + Youcan assign a specific value or a calculation resul to a variable Example: To assign the result of 3 + 5 to variable A GeBBma(soE) + Use the following procedure when you want to check the contents of a variable. Example: To recall ne contents of variable A + The following shows how you can include variables inside of an expression. Example: To multiply the contents of variable À by the contents of variable B BOAMmEEBE + Variable contents are maintained even if you press he change the calculation mode, or turn off the calculator. <ois> Clearing the Contents of a Specific Variable Press (9) 6) ŒI(STO) and inen press the key for {ne name of ne variable whose contents you want to clear. To clear the contents of variable À, for example, press (9) Gi) f(STO) (A). M Ciearing the Contents of All Memories Use the following procedure to clear the contents of Answer Memory, independent memory, and al of ne variables. Press 6) (CLR) (Memory) ® (Vs). + To cancel the clear operation wilhout doing anything, press (Cancel) instead of © E-26

Function Calculations “This section explains how to use the caleulators buil-in functions. The functions available to you depends on he calculation mode you are in. The explanations in this section are mainly about he functions that are available in all calculation modes. AI of the examples in this section show operation in {he COMP Mode ŒO). + Gertain function calculations may take some time to display calculation results. Before perlorming an operation, be sure to wait until execution of the current operation is complete You can interrupt an ongoing operation by pressing B3 M Pi (x) and Natural Logarithm Base € You can input pi (m) or natural logarithm base € into a calculation The following shows the required key operations and the values his caleulator uses for pi (mo) and 2 1 = 8.14159265358980 (GE) ED) (r)} € = 2.71828182845904 (A E)(c)) M Trigonometric and Inverse Trigonometric Functions + The angie unit required by iigonometre and inverse irigonometrie functions is one specilied as the calculators delaul angle unit Belore performing a calculation, be sure to speciy the default angle uni you want to use. See “Speaiying the Delault Angle Unit for more information <#016 sin 20 = 0, sin "0 M Hyperbolic and Inverse Hyperbolic Functions Pressingthe fB key displays a menu of functions. Press the number Key that corresponds to he function you want to input. 0173 sinh 1 = 1.178201194, cos! 1 = 0

‘The following procedure assumes that he calculators default angle unitis degrees. INE Pr = | Mmwnweeo|(r2

• You can also use {he x) key when inputting an expression with the form of “logmn” while using Math format. For details, see [Appendix]<#020>. Note that you must input the base (base m) when using the ED key for input. <#021> 0 <k023> “1 A base of 10 (common logarithm) is used if no base is specified. E-28 ns and Logarithmic

M Power Functions and Power Root Functions

+ Input value Os treated as an angle value, in accordance with {ne caleulators default angle unit seting, + Galculation result x is assigned to variable X, while y is assigned to. + liyou perlorm coordinate conversioninside of an expression instead of a stand-alone operation, the calculation is performed using only the first value (either the value or the X-value) produced by ne conversion Example: Pol (V2, V2) + 5 = 24 527 <H020> to <#030> E-29

‘This section explains how to use the functions shown below. Ab: an#, Pr, nCr, Rnd( Factorial (!) This function obains he factorials of a value thatis zero ora positive integer. <H031> (54 3)= 40820 Absolute Value Calculation (Abs) When you are performing à real number caleulation, this function Simply obtains the absolute value. 082 Abs(2-7=5 Random Number (Ran#) This function generates a 3-digit pseudo random number thatis less than <#033> Generale three 3-digi random numbers. The random 3 digt decimal values are converted to 3-digit integer values by muliping by 1000. Note that {he values shown here are examples only. Values actually generated by your calculator wil be difierent. Permutation (nPr) and Combination (Cr) These functions make it possible to perlorm permutation and combination calculations. n and r must be integers in the range of 05 r< n < 1 x 10'©. <#034> How many lour-person permutalions and combinations are possible for a group of 10 people? Rounding Function (And) This function rounds 1he value or the result of he expression in {ne function’ argument 10 he number of significant digis specified by the number of display digits setting Display Digits Setting: Normi or Norm2 The mantissa is rounded to 10 digis. E-30

ation with rounding.

Transforming Displayed Values You can use the procedures in this section to transform a displayed value 10 engineering notation, or o transform between standard form and decimal form. M Using Engineering Notation A simple key operation transforms a displayed value to engineering notation. <4035> Transform ie value 1,234 to engineering notation, shifing the decimal point to ie right. <k036> Transform the value 123 lo engineering notation, shifing the decimal point to ie le. M Using S-D Transformation You can use S-D transformation to transform a value between its decimal (D) form and its standard (S) form (fraction, x) Formats Supported for S-D Transformation S-D translormation can be used to transform a displayed decimal calculation result 10 one of the forms described below. Perlorming S-D transformation again convert back 0 the original decimal value. Note + When you transform from decimal form to standard form, the calculator automatically decides 1he standard form to use. You cannot specily the standard form. Fraction: The current fraction display format seting determines whether the result is an improper fraction or mixed fraction The following are the x forms that are supported This is true only in ine case of Math format. nm. (is an integer) dx oy a. (depending on fraction display format € €" seing) + Transformation to a fractional x form Is limited to inverse trigonometric function results and values that are normally expressed in radians. + After obtaining a calculation result in 7 form, you can convert it to decimal form by pressing the Æ3 key. When the original calculation result is in decimal form, it cannot be converted to form. E-32

Examples of S-D Transformation Note that S-D transformation can take some time to perform. Example: Fraction > Decimal [Mark] RE 5 mm] (HIBIQIIE]

M inputting Sample Data Displaying the STAT Editor Screen The STAT editor screen appears alter you enter {he STAT Mode from another mode. Use 1he STAT menu lo select a statistical calculation type. To display ne STAT editor screen from another STAT Mode screen, press {STAT)() (Data) STAT Editor Screen ‘There are two STAT editor screen formats, depending on the type of statistical calculation you selected. EL] à à É É Single-variable Statistics Paired-varñable Statistics + The fistline ofthe STAT editor screen shows the value for the first sample or the values for their first pair of samples. FREQ (Frequency) Column 1 you turn on ine Statistical Display item on the caleulators selup screen, a column labeled-FREQ" wil also be included on the STAT editor screen. You can use the FREQ column to specif the frequency he number of times the same sample appears in the group of data) of each sample value. Rules for Inputting Sample Data on the STAT Editor Screen + Data you input is inserted into 1he cell where {he cursor is located. Use the cursor Keys to move {he cursor between cells

+ After inputting a value, press Æ. This registers the value and displays up to six of is digits in Ihe currently selected cell E-34

Example: To input the value 123.45 in cell X1 Move 1e eursor to cell X1.) DG800® ‘The value you input appears —| in the formula area. EI] Registering a value causes the cursor to move down one cell STAT Editor Screen Input Precautions + The number of lines in STAT editor screen (the number of sample data values you can input) depends on the type of statistical data youselected, and on the Statistical Display seting of the calculators setup screen. Statistical Display OFF où Statistie Type {No FREQ column) | _ (FREQ column) Singie-varable BO Ines 40 nes Paired-variable 40 1ines 26 nes + The folowing types of input are not allowed on the STAT ecitor screen + ©, EM operations + Assignment to variables (STO) Precautions Concerning Sample Data Storage Sample data you nputis deleted automatically whenever you change to another mode from the STAT Mode or change the Statistical Display setng (which causes {he FREQ column to be shown or hidden) on the calculators setup screen. Editing Sample Data Replacing the Data in a Cell {1) On the STAT editor screen, move the cursor lo the cell you want to edit {2) mput the new data value or expression, and then press Æ] Important! + Note that you must totaly replace the existing data of ine cell with new input You cannot edit parts of he existing data. Deleting a Line {1) On the STAT editor screen, move the cursor to the line you want Lo delete. (2)Press. E-35

Inserting a Line {t)On the STAT editor screen, move the cursor to the line that will be under the line you wil insert. (2) Press () (D (STAT) @) (Edit. (Press (ins). Important! + Note thatthe insert operation wi not work the maximum number fines allowed for the STAT editor screen are already used Deleting All STAT Editor Contents (1) Press Gr) (D (STAT) @) (Edit. ()Press (Der). + This clears all of the sample data on the STAT editor screen. Note + Note that you can perlorm the procedures under‘Insertng a Line” and‘Deleting AI STAT Editor Contents” only when ine STAT editor Screen is on the display. M STAT Calculation Screen ‘The STAT calculation screens for performing statistical calculations with the data you input with the STAT editor screen. Pressing the GQ key while the STAT editor screen is displayed switches to ne STAT calculation screen. ‘The STAT calculation screen also uses Linear format, regardiess of the current inpuVoutput format setting on the calculators setup screen M Using the STAT Menu Wie the STAT ecltor soreen or STAT calculation screen is on the display press EF) C(STAN) 10 display the STAT menu ‘The content to the STAT menu depends on whether the current selected statistical operation type uses a single variable or paired variables. Single-variable Statistics Paired-varñable Statistics E-36

STAT Menu Items Common Items Select this menu item: | When you want to do this: Display the stalistical calculation type selection ŒTpe | screen (Data | Display the STAT editor screen (Ed | Display the Edit sub-menu for edting STAT editor ï screen contents Display the Sum sub-menu of commands for ŒSum "| caleulating sums av Display the Var sub-menu of commands {or ar calculating the mean, standard devition, etc. Display the MinMax sub-menu of commandé for ŒMinMEX_ | ébtaining maximum and minimum values Paired-variable Menu Item Select this menu item: | When you want to do this: Display the Reg sub-menu of commands for regression calculations + For details see “Commands when Linear Regression Calculation (A+BX) Is Selected” and “Commands when Quadratic Regression Calculation (_+CX2) ls Selected". Single-variable (1-VAR) Statistical Calculation Commands ‘The following are the commands that appear on the sub-menus that appear when you select (Æ (Sum), (8) (Van) or ()(MinMax) on the STAT menu while a single-variable statistical calculation type is selected See <#039> for information about the calculation formula used for each command Sum Sub-menu (F7 (D (STAT)@(Sum)) Select this menu item: | When you want to obtain this: me Sum of squares of he sample data ES Sum ofhe sample data E-37

Var Sub-menu (ŒA D(STAT)@)(Var)) Select this menu item: | When you want to obtain this: Cr Number of samples œx Mean of the sample data Gron Population standard deviation Œxon-1 | Sample standard deviation MinMax Sub-menu (6) (D(STAT)E)(MinMax)) Select this menu item: | When you want to obtain this: Cminx Minimum value Dmaxx Maximum value Singie-variable Statistical Calculation <#040> Select single-variable (1-VAR) andinput he following data: (1,2, 8, 4,5, 6,7, 8,9, 10) (FREQ: ON) <#041> Edit the data to the following, using insert and delete: (0. 1,2, 3,4, 5,6, 7,9, 10) (FREQ: ON) <#042> Edit the FREQ data to the following; 41,2,1, 2,2, 2, 8,4,2, 1) (FREQ: ON) + Examples <#043> through <#045> all use the same data as Example <4042>. <H043> Galeulate sum of squares of he sample data and sum of the sample data <H044> Calculate number of samples, mean, and population standard devition <H045> Caleulate minimum value and maximum value. Commands when Linear Regression Calculation (A+BX) Is Selected With linear régression, regression is performed in accordance with the following model equation y=A+BX he folowing are he commands {na appear on the sub-menus that appear when you select (4) (Sum), (Œ) (Var), ©) (MinMax), or (El) on the STAT menu wie near régression is selected as the stalitial calculation type See <#046> for information about 1ne calculation formula used fr each command E-38

Linear Regression Calculation: <#047> to <#050> + Examples <#048> through <#050> all use the data input in Example <#047>. “1 Estimated Value (y =-8 — $ =?) *2 Estimated Value (x = 2 — =?) Commands when Quadratic Regression Calculation (_+CX2) Is Selected With quadratic regression, regression is performed in accordance with the following model equation. y=A+BX+CX° See “40512 for information about he calculation formula used or each command! Reg Sub-menu (6) (D(STAT)D(Reg)) Fete | When you want to obtain this: A Regression coefficient constant term À BE Linear coefficient B of he regression coefficients @c Quadraic coefficient C of he regression coefficients œ# Estimated value of 11 or Estimaied value of 12 EX Estimated value of y + Sum sub-menu (sums), Var sub-menu (number of samples, mean, Standard deviation), and MinMax sub-menu (maximum value minimum value) operations are the same those or inear regression caleulations Quadratie Regression Caleulation:<#052> to #04» + Examples <#052> through <#054> all use the data input in Example <#047> Comments for Other Types of Regression For details about 1he calculation formula of the command included in each regression type, refer o the indicated calculation formulas ([Appendix | <#055 to <#050>) E-40

value of 1 + Specity the step value. + For details about specifying the start, end, and step values, see “Start, End, and Step Value Rules”. (6) After speciting te step value, press Æ) + Pressing the 3 key returns to he function editor screen M Supported Function Types + Except for the X variable, other variables (A, B, C, D, Y) and independent memory (M) are al treated as values {ne current varible assigned te variable or storedin independent memorÿ E-42

+ Oniy variable X can be used as the variable of a function. + The coordinate conversion (Pal, Rec) functions cannot be used or a number table generation function. + Note that the number table generation operation causes he contents of variable X to be changed. H Start, End, and Step Value Rules + Linear format is always used for value input. + You can specify either values or calculation expressions (which must produce a numeric result) for Start, End, and Step. + Specifying an End value that is less than the Start value causes an error, so the number table is not generated. + The specified Start, End, and Step values should produce a maximum of 30 x-values for the number table being generated. Executing a number generation table using a Start, End, and Step value combination that produces more than 30 1-values causes an error. Note + Certain functions and Start, End, Step value combinations can cause number table generation to take à long time. Æ Number Table Screen The number table screen shows à-values caleulated using the specified Start, End, and Step values, as well as the values obtained when each value is substiluted in the function fa). Note that you can use the number table screen for viewing values nly Table contents cannot be edited. + Pressing the @ key retums to the function editor screen. HE TABLE Mode Precautions Note that changing the inputoutput format settings (Math format or Linear format) on the calculators setup screen while in the TABLE. Mode clears the number table generation function. E-43

M Calculation Priority Sequence The caleuiator perlorms calculations according 1o a caleuiation prioriy sequence. Basical, calculations are perlormed from le 10 right. + Expressions within parentheses havo the highest prior. + The folowing shons the prioriy sequence fr sach individual command.

And Funetions precodod by values, powers, pan rats: Bastiat v Parcent % Fractions: able Pref symbol: (-} (negative sign) Staisteal estimated value caleulaion:& Ps, 2 Permutations, combinations:nPr, Cr Multiplication and dsion: x, + Mulipication here sign is omited: Mutiplication sign omitted immediately elore , variables (2x, 5A, rA, etc} functions with parenthoses (21. (3). Asin(80), etc AAddtion and subtracton: +, — I a calculation contains a negative value, you may neod to encloso he negative value in pagentheses. you wanf to square the value -2, lo example, you need to input: (-2)2. This is because +2 is a funclion preceded by à value (Priority 2 above), whose priori is greater Ian 1he negative sign, which is a pre symbol {Pont 4) Muïiplcation and division, and muliplcation where tho sign is omitod are the same priofty (Prior 7), so these operations are performen rom let Lo right when both types are mixed in the same caleultion. Enclosing an operation thin parentheses causes i to be performed fist, 50 the use of paranthesos can result in dirent caution results. Exams

M Stack Limitations This caleuiator uses memory areas called stacks to tomporarly store lower alulatlon priority soquence values, commande, and functions, The numerie stack has 10 levols and the command stack has 24 level, as shot in ne ilustration Numerie Stack Command Stack DE nlx AE alt EE) alt fs ni GE GIE

MIE À Stak ERROR ocœurs vien 1h caleulaon you are paroming causes ine apachy later stak 1 be exceeded. M Calculation Ranges, Number of Digits, and Precision he calculation range, number fig used fr item calculation, and calculation precision depends on 1he type af calculation you are perorning: Calculation Range and Precision Caleulaion Range 211 x 10-99 to 19990998090 » 1095 or 0 Number of Digi fr Internal Caleulation 15 dits Precision in general, 7 atine TOI it or à single calculation. Precilon or exponential display Is 21 at the least significant digi. Errors are cumulale in the case of consacutve calculations. Function Calculation Input Ranges and Precision Functions Input Range sn [DEG [oz meoe KL =1s7ore6s27 DERETT cor HET

+ Precision is basicaly the same as that dscrbed undar"Calcuiation Range and Precision’, above. + A), AY, 87; a, nPr, nOr type functions require consecutve internal calcuïaton, which can cause accumulation of errors that occur with each calculation. + Error Is cumulative and tend to be large in the vicinity of a functions singuiar point and infection point. M Error Messages The calelatorwil display aneror message he a sui exceeds ie calculation range, ven you attompt an legal input, or henaver any other similar problem When an error message appears... Te folowing are general operaïions you can use when any error message appears. + Pressing @ or ® displays la ihe calculation expression adting screen you ere using befora he error message appoared, with Ie cursor located a the ostion of the error. For more information, se “Displaying 1he Location of an Error. Pressing FD ciears the calculation xpression you input bre the error message appeared. You can then re-input and re-execute (he caleulalion, you want. Not hat in Mi caso, he original calculation wil nt be retained in caleulation history memory. Math ERROR + Cause 2 The intermediate or final resu ofthe caleuiation you are perloming exceeds the allowabe calculation range. + Your input exceeds the allowable input range (particularly when using functions). + The calculation you are perlorming contains an legal mathematical operation {such as division by 2ar0). + Action + Ghock ie input values, roduce to number o igis, and try again + When using independent memory or a vañable as to argument fa function, make sure hat the memory or variable value is within 1e allowabe range for the function. Stack ERROR + Cause + The calculation you are perlorming has caused the capacity of he numorc slack or Ing command slack to ba exceeded + Action + Simply he calculation expression sol does nat exceed the capacity of the stack + Tiy Splltingthe calculation into 1wo or more pars. Syntax ERROR + Cause 2 Thore is a problem with the format of te calculation you are perlorming. + Action + Make necessary corrections E-47

Insufficient MEM Error + Cause + There is ot enough memory ta perorm your calculation. + Action + Narrow he able caleualon range by changing the Start, End, and Step values, and ty again. M Before assuming malfunction of the calculator. Perform the following steps wheneuar an error oceurs during a calculation or then calculation results are not what you expected. I ane step does not correct the problem, move on 10 1he next stop. Note thaï you Should make separate copies ol important data belore perlorming Ihese steps. {) Check tne calculation expression to make sure that it does not contain any (2) Mako sure that you are using the correct mode for the type of calculation you are trying to pertorm. (8) Ilthe above steps do not correct your problem, press the (BJ key. This wi cause he calcultor to perform a route that check whether calculation functions are operating corse. ne caeulator iscovers any abnormali, it automatically intalzes he calculation mode and clears memory content. For details about ilalzod settngs, sea “italzng the Caleulation Mode and Other Settings” under *Caleuiation Modes and Calculator Setup" {4) Inialize all modes and settings by perlaming the following operation: EDR) Diseup) Es). Reference M Power Requirements and Battery Replacement Px-B5ES/x-300ES Your calculator uses a TWO WAY POWER system that combines a Solar cell with button battery (LR44 (GPA76)). Normal), calculators equipped with a solar cell alone can operate only when relatively bright light is present, The TWO WAY POWER system, however, lets you continue to use the caleulator as long as there is enough light o read ihe display. Replacing the Battery Dim display figures when available ighing is dim or fïlure of anything 10 appear on ie display immediately when you turn on 1he calculator indicales that button battery power is low. Note that you wi not be able to use 1he calculator fils button battery is dead. When any of these symploms oceur, replace {he butlon battery. Even if the calculator is operating normalÿ, replace the battery at least once every three years. E-48

Important! + Removing the button battery from the calculator causes independent memory contents and values assigned to variables to be cleared (D Press EM Œ(OFF) to tu off the Screw —$ caleulator. +To ensure that you do not accidentaly turn on power while replacing the battery side the hard case onto the front f {he calculator. (2 On the back of the calculator, remove the screw and the battery cover. S Remove the old battery. & Wipe a new battery with à dry cloth, andthenloadit into the caleulator with it positive © side facing upwards (0 you can see it) & Replace the battery cover andsecure itin place vith is screw. & Perlorm ihe following key operation: En Œ(CLR)D (AI) E (es) + Make sure you perlorm the above key operation. Do not skip it. H-B2ES/x-B3ES/x-350ES H-82ES/-B3ES: This caleulator is powered by a single AAA size battery (R03 (UM-4)) H-380ES: This calculator is powered by a single AAA-Size battery {LROS (AM4)) Replacing the Battery Dim figures on the display of1he calculator indicate that battery power is low. Continued use of he calculator when the battery is low can resul in improper operation. Replace the battery as soon as possible when display figures becomes dim. Even if the calculator is operating normal, replace the batery at least once every two years (R03 (UM-4)) or one year (LRO (AM4)) Important! + Removing the battery from the calculator causes independent memory contents and values assigned to variables to be cleared E-49

(D Press EF) AO(OFF) to tum off the calculator. (2) Onthe back of the calculator, remove the screws and the back cover. S Remove ihe old battery. @ Load a newbattery into he calcuiator with its positive © and negative © ends facing correct. (5 Replace the back cover and secure it in place with its soreurs. & Perlorm ihe following key operation: GE O(CLR)D AI) Œ (es) + Make sure you perlorm the above key operation, Do not skip it. Auto Power Off Your caleulator will turn off automatically i you do not perform any operation or about six minutes. his happens, press the () key to turn he caleulator back on. E-50

Spe 1x-82ES/fx-83ES Power Requirements: AAA-size battery: RO (UM-4) x 1 Battery Lite: Approximately 6,000 hours (continuous operation) Approximately 17,000 hours (continuous display of Hlashing curson) Power Consumption: 0.0002 W Operating Temperature: 0°C 10 40°C Dimensions: 13.7 (H) x 80 (W) x 161 (D) mm She" (H) x 31/8" (W) x 65/16" (D) Approximate Weight: 110 g (3.9 0z) including the battery Bundled Items: Hard Case 1x-350ES Power Requirements: AAAsize battery: LRO8 (AM4) x 1 Battery Life: Approximately 8,700 hours (continuous operation) Power Consumption: 0.0002 W Operating Temperature: 0°C to 40°C Dimensions: 13.7 (H) x 80 (W) x 161 (D) mm Sh6" (H) x 3U8 (W) x 65/16" (D) Approximate Welght: 110 g (3.9 oz) including the battery Bundled items: Hard Case -85ES/x-300ES Power Requirements: Solar Cell: Buit into the front of he calculator Button Battery: LR44 (GPA76) x 1 Battery Life: Approximately 3 years (Based on one hour of operation per day.) Operating Temperature: 0°C to 40°C Dimensions: 12.2 (H) x 80 (W) x 161 (D) mm (H) x 38" (WU) X 65/16" (D) Approximate Welght: 105 g (3.7 oz) including the battery Bundled items: Hard Case E-51