Manual / Guide · c. 2001
Casio fx-82MS/85MS/220PLUS/300MS/350MS User's Guide
Casio's user's guide for the fx-82MS family, the two-line S-V.P.A.M. generation before Natural Display.
Manual / Guide · c. 2001
Casio's user's guide for the fx-82MS family, the two-line S-V.P.A.M. generation before Natural Display.
EN fx-82MS fx-85MS fx-220 PLUS fx-300MS fx-350MS (2nd edition / S-V.P.A.M. ) User’s Guide CASIO Worldwide Education Website https://edu.casio.com Manuals are available in multi languages at https://world.casio.com/manual/calc/ CASIO. Table of Contents Before Using the Calculatot.........cccccsseeceeseeteeeeeseeeeeseeereneees 3 About this Manuall.............c:cccceeeceeeeeeceeeeeeeeeceeeeecaeeeseeeeeseaeeeeeaeeeenseeeeenee 3 Initializing the CalCulator.............ccccceecesseeeeeeeeeeeeeeeeeeaeeeeeeaeeeseeeeeeseeeeeeeaees 3 PreCautiOns. ...........:cccccceceeeeeeeeeeeeeeeeeneeeeeeaeeesecaeeeseaeeeeeceeeescaeeesegaeeeeeieeesees 3 Getting Started... cee cecceceeceeeeeeeeeeeeeeeeeeeeeeeeeaeeeeeaeeeseeeeeseeeeeeeeeeseaea 4 Removing the Hard Case...........::cccccceceecceeeeeeeeeeeeeeeneeeseeeeeseeeeeeeeeseneeesseeeeesaee 4 Turning Power On and Offf..........:ccccccceceeceeeeeeeeeeeeeeeeeeeeeeeeeceneeennaeeeseeeeesseeeeeaaes 5 Adjusting Display Contrast.............:ccccececeeeeceeeeeeeeeeeeeeeeeeeeenaeeeseeeeseneeeeeneeeseaee 5 Key MarkingS..........ccccccccecceeeeceeeceeeeeeeeeceaeeeccaeeeseaeeeceeeeecaaeesneeeeseeeeeseeeeeeeeeeeees 5 Reading the Display... ceeeeeeseeeseeeneeeneeeeeeeeeeeneeeseeseaeesteseeneeeeeeees 7 Calculation Modes and Calculator Setup........:cccsssceesseeee 9 Calculation MOde..............::ccececceeeeeeeeeceneeeceeneeeedeaeeeseaeeeecnaeeeseaeeeseneeeeseaees 9 Configuring the Calculator Setup..............:::ccccsceeeeeeeeeeeeeeeeceeeeeeneeeeeeeeeeese 9 Initializing the Calculation Mode and Other SettingS...............::::::scceeeeeees 11 Basic Calculations. ......ccccecccccessseeeeeeseeeeeeeeeeeeeeeeseeeeeeesseeeeneess Inputting Expression and Values... Making Corrections During INput............c:c:ccececceeeeeeeeeeeeeeeeeeeeceeeeeeeeesneeeeeaees Arithmetic Calculations. ..........::ccccccceeceeceeeecceeeeeeeeeeenaeeeeceeeeeeeeeeeeeneeeeeaee Number of Decimal Places and Number of Significant Digits...................+ Omitting a Final Closed Parenthesis...............:::ccccceeseeeeeeeeeeeceeeeeeeeeseeeeeneeees Fraction Calculations......... Decimal — Fraction Conversion. ...........ccceeeeeteeeeeeeeeeeeseeeteseteeesseeeeeeeseeeaees Mixed Fraction < Improper Fraction Conversion............::::c:ccceceeeeeeeeeeees Percent Calculations. ..............ccccccecceececeeeceeeeeeeeeceeeeeeeeeeeseeeeeseneeeeeeeeees Degree, Minute, Second (Sexagesimal) Calculations... Inputting Sexagesimal ValUeS.............:cccccceeeeeceeeeeceeeeeeeeeeeeeeeeeeeceeeteneeeesnnees Sexagesimal Calculations. ............c::cccccceeeceeececeeeeeeeeeeeeeeeeeeeeeeeeeeseueeeseneeeeeaee Converting Values between Sexagesimal and Decimal... Multi-Statements (fx-82MS/fx-85MS/fx-300MS/fx-350MS only) Using Engineering Notation. ..............cccccceccceeceeeeeeeeteeeeeeeeeeeeseeeeeeneeeeeeaee Calculation History and Replay............ccccccccccceeeeeeeeeeeeeeeeeeeeeeeneeeeeseeeeeee Calculation HiStOry..........:::cccccccecececececeeeeeeeeceeeeeceeeeeseaeeeseaeeeseaeeeseeessneeeseeeess Using Memory Functions. ............c::ccccccceeeeeceeeeeeeeeeeneeeeseneeeeeeeeeeesueeeseaaes Answer Memory (AMNS).........::::cccscceceeeeeeeeeeeeeeaeeeeceeeceaeeeseaeeeseeeescaeeeseaeeesenneess Variables (A, B, C, D, E, F, M, X, Y) (fx-82MS/fx-85MS/fx-300MS/fx-350MS OMY)... ceeeccceeeceeeeeeeeeeeeeeeeaeeeceaeeeceaeeeecaeeeseaeeeseaeeeseaeeeseaeeeseeeeseeeeeseeeeeeseeeeseeeeees 22 Independent Memory (M).........::::ccceccceeeeceeeeeeeeeeceeeeeeeeseneeeseeeeeeseeeeseeeeeeeeeeees 22 Clearing the Contents of All Memories. .............::ccccccceeeeceeeeeeeeeeeeeeteneeeseneeeeeee 24 Trigonometric Functions, Inverse Trigonometric Functions Trigonometric FUNCTIONS. ............:ccccccceeeeeeeeeeeeeeeeeeeeteeeesneeetseeess Inverse Trigonometric FUNCTIONS. .............:c:cceeceeeeeeeeeeeeeeeeeeeeeeaeeeeeeeetenneeeeaees Hyperbolic Functions, Inverse Hyperbolic Functions.............:::ccceee Angle Unit Conversion. ............ccccccceeceeeeeeeeeeeceeeeeseeeeeeeeeeseeeeeseuseesenaaees Exponential Functions, Logarithmic Functions. ..............::c:ceeseeeeeeeees Exponential FUnCtions..............ccccccccceceeeeeceeeeeeeeeeeeeeeeeeeeseeeeeteaeeeseaeeeseeeeeeeeeees Logarithmic FUNCTIONS. ............::ccccccceeeeeceeeeeeeeeeeeeeeeeeeeeeeedaeeeeeeeeeseeeessneeessaeess Power Functions and Power Root Functions. ...........:::cccccceesceeeeeeeeeeeee Rectangular-Polar Coordinate ConverSion.............::::ccccseeeeseeeeeeeeeeteeees Factorial (!).......:c:ceeeeee Random Number (Ran#)..........:.:::cccccceceeeneeeseeeeeeeeeeeeeceeeseneeeseeeeeseneeees Random Integer (RanInt#) (fx-220 PLUS onlly)..........::::ccseeeeeeeeeeeeeeeeeeee Permutation (1P 7) and Combination (1. Cr ).......::cccccceeeceseeereeeetteeeee Rounding function (RI).......:::ccccccceeceeeesceeeeeeeeeeeeceeeeceaeeeeteaeeeseeeeeeeneeees Using Calculation Modes..........cccccccesseeeeeeeesseeeeenseeeeeeeeeneeeees 33 Statistical Calculations (SD, REG*) * *x-82MS/fx-85MS/fx-300MS/fx-350MS only........ cece cece eeseeeeeeeees 33 Standard Deviation (SD)...........:cccccceceeeeeeeeeeeeeeeeeeeeeaeeeeneeeeseneeeeeneeeseneeeseaeeees 33 Regression Calculations (REG) (fx-82MS/fx-85MS/fx-300MS/fx-350MS only) FT co occcacona: Ee eR cccco58625.5:0°:0 le 36 Technical Information........:c..ccecccceeeeeeeeeeeeeecneeeeeeeeeeeeeeeneeeee 42 EVPOMS.........cecccceeeeeeceeeeeeceeeeeeeceeeeeseaeeeseeaeeeseaeeesecaeeesseaeeeseneeeeseeeeeeseneeeeeeaee 42 Error [email protected]:cccceccceeeeeeeeeeeeeeeeeceaeeeecaeeeseaeeeseaeeeseaeeeceeeeseeeeeeseeeeseeeeees 42 Before Assuming Malfunction of the Calculator..............:::::ceceeeeceeeeees 43 Replacing the Battery...............cccccceceeeeceeeneeeeeeeeeeeeaeeeseeeeeeeseeesseeeeeeneeees 43 Calculation Priority SCQUeNCE.............:cccceeceeeeeeeneeeeeeteeeteneeeeteeeeeeeeaeeeees 44 StACKS.....eecececcetecceeeeceeeeeeeaeeeseneeeeeeaeeeeeeaeeesecaeeesecaeeeseeeeeseneeeseeeeeseeeeeees 45 Calculation Ranges, Number of Digits, and Precision................::0:008 46 Calculation Range and Precision. ............:c:ccececceeeeceeeeeeeeeeeeeeseeeeeeueeeseneeeeeaee 46 Function Calculation Input Ranges and Precision. ...........-.::c:ceeseeeereeeeeees 47 SPecifications..........ececceccceeceeeceeeceeeeeceeeeeeeeeeeeeneeeeseeeeseeeeeeseneeeeseeeeeee 49 Before Using the Calculator About this Manual « In no event shall CASIO Computer 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. * Unless specifically stated, all sample operations in this manual 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. * The contents of this manual are subject to change without notice. * The displays and illustrations (such as key markings) shown in this manual are for illustrative purposes only, and may differ somewhat from the actual items they represent. * Company and product names used in this manual may be registered trademarks or trademarks of their respective owners. Initializing the Calculator Perform the following procedure when you want to initialize the calculator and return the calculation mode and setup to their initial default settings. Note that this operation also clears all data currently in calculator memory. fx-82MS/fx-85MS/fx-300MS/fx-350MS: (Hone) (CLR) (3) (All) E) fx-220 PLUS: (3) (All) E) Precautions Be sure to read the following safety precautions before using the calculator. | Safety Precautions A Battery * Keep batteries out of the reach of small children. « Use only the type of battery specified for this calculator in this manual. | Handling Precautions * Even if the calculator is operating normally, replace the battery according to the schedule shown below. Continued use after the specified number of years may result in abnormal operation. Replace the battery immediately after display figures become dim. fx-82MS/fx-220 PLUS: Every two years fx-85MS/fx-300MS/fx-350MS: Every three years * A dead battery can leak, causing damage to and malfunction of the calculator. Never leave a dead battery in the calculator. * The battery that comes with the calculator is for factory testing, and it discharges slightly during shipment and storage. Because of these reasons, its battery life may be shorter than normal. * Do not use a nickel-based primary battery with this product. Incompatibility between such batteries and product specifications can result in shorter battery life 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. « Never try to take the calculator apart. « Use a soft, dry cloth to clean the exterior of the calculator. « Whenever discarding the calculator or batteries, be sure to do so in accordance with the laws and regulations in your particular area. Getting Started | Removing the Hard Case Before using the calculator, slide its hard case downwards to remove it, and then affix the hard case to the back of the calculator as shown in the illustration below. | Turning Power On and Off « Press to turn on the calculator. * Press {Ac} (OFF) to turn off the calculator. Note * The calculator also will turn off automatically after approximately 10 minutes of non- use. Press the key to turn the calculator back on. | Adjusting Display Contrast 1. Press (lone) (love) (Hove) (Hove) . ¢ This displays the display setup screen. Disp <CONT> 1 2 2. Press (2). 3. Use @ and ® to adjust display contrast. 4. After the setting is the way you want, press (Ac). Important! + If adjusting display contrast does not improve display readability, it probably means that battery power is low. Replace the battery. | Key Markings fx-82MS/fx-85MS/fx-300MS/fx-350MS: Pressing the or key followed by a second key performs the alternate function of the second key. fx-220 PLUS: Pressing the key followed by a second key performs the alternate function of the second key. The alternate function is indicated by the text printed above the key. fx-82MS/fx-85MS/fx-300MS/ fx-350MS: fx-220 PLUS: (1) (1) Keycap function (2) Alternate function * The following shows what the different colors of the alternate function key text mean. If key marking text is this color: It means this: Press and then the key to access the Yellow . . applicable function. Press and then the key to input the Red applicable variable, constant, function, or symbol. (fx-82MS/fx-85MS/fx-300MS/ fx-350MS only) Blue (or enclosed in blue brackets) Enter the SD Mode and REG Mode to access the function. (fx-82MS/fx-85MS/fx-300MS/ fx-350MS only) * The following shows an example of how an alternate function operation is represented in this manual. Example: (sin) (sin"') 1 (=) * Indicates the function that is accessed by the key operation ( (HF) (Sin) ) before it. Note that this is not part of the 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 manual. Example: G.](COMP)’ * Indicates the menu item that is selected by the number key operation ((1)) before it. Note that this is not part of the actual key operation you perform. * The cursor key is marked with four arrows, indicating direction, as shown in the illustration nearby. In this manual, cursor key operation is indicated as @, M, @, and WB. | Reading the Display The two-line display makes it possible to view both the calculation formula and its result at the same time. *--(3) (2)-- (1) Calculation formula (2) Calculation result (3) Indicators * The table below describes some of the typical indicators that appear at the top of the screen (3). This indicator: Means this: The keypad has been shifted by pressing the iS} key. The keypad will unshift and this indicator will disappear when you press a key. The alpha input mode has been entered by pressing the key. The alpha input mode will A be exited and this indicator will disappear when you press a key. (fx-82MS/fx-85MS/fx-300MS/ fx-350MS only) Indicates the current setting of Angle Unit ([): IDARYG| Degree, [i]: Radian, or [€: Gradian) on the setup menu. FIX A fixed number of decimal places is in effect. This indicator: Means this: scl A fixed number of significant digits is in effect. M There is a value stored in independent memory. The calculator is standing by for input of a variable STO name to assign a value to the variable. This indicator appears after you press (STO). (fx-82MS/fx-85MS/fx-300MS/fx-350MS only) The calculator is standing by for input of a variable RCL name to recall the variable's value. This indicator appears after you press (Rtl]. (fx-82MS/fx-85MS/ fx-300MS/fx-350MS only) Calculation Modes and Calculator Setup Calculation Mode Before starting a calculation, you must first enter the correct mode as indicated in the table below. fx-82MS/fx-85MS/fx-300MS/fx-350MS When you want to perform this type of operation: Perform this key operation: General calculations (Comp) Standard deviation (2)(SD) Regression calculations (3](REG) fx-220 PLUS When you want to perform this type of operation: Perform this key operation: General calculations G)(COMP) Standard deviation (2)(SD) Note + The initial default calculation mode is the COMP Mode. + Mode indicators appear in the upper part of the display. * The COMP, SD, and REG Modes can be used in combination with the angle unit settings. ¢ Be sure to check the current calculation mode (SD, REG, COMP) and angle unit setting (Deg, Rad, Gra) before beginning a calculation. Configuring the Calculator Setup Pressing the key more than once displays additional setup screens. Underlined (__) settings are initial defaults. Deg Rad Gra 1 2 3 (1)Deg (2)Rad @)Gra Specifies degrees, radians or grads as the angle unit for value input and calculation result display. (90°= z/2 radians = 100 grads) Fix Sci Norm 1 (G)Fix (2)Sci ()Norm Specifies the number of digits for display of a calculation result. 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: 100 + 7 = 14.286 (Fix 3) 14.29 (Fix 2) Sci: 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 before being displayed. Example: 1 + 7 = 1.4286 x 10° (Sci 5) 1.428571429 x 101 (Sci 0) Norm: Selecting one of the two available settings (Norm 1, Norm 2) determines the range in which results will be displayed in exponential format. Outside the specified range, results are displayed using non- exponential format. Norm 1: 10 > |x|, |x] 2 107° Norm 2: 10°° > |x|, |x] 2 107° Example: 1 + 200 = 5 x 10° (Norm 1) 0.005 (Norm 2) ; @ Disp <CONTP ab/c d/c 1 2 _- 1 2 © | t @ Pat Comma G)Jab/c (2) d/c Specifies either mixed fraction (ab/c) or improper fraction (d/c) for display of fractions in calculation results. 10 (1) Dot (2]Comma Specifies whether to display a dot or a comma for the calculation result decimal point. A dot is always displayed during input. Dot: Period decimal point, comma separator Comma: Comma decimal point, period separator Note * To close the setup menu without selecting anything, press fac). | Initializing the Calculation Mode and Other Settings Performing the following procedure initializes the calculation mode and other setup settings as shown below. fx-82MS/fx-85MS/fx-300MS/fx-350MS: (Hove) (CLR) (2) (Mode) (=) fx-220 PLUS: (2) (Mode) (=) This setting: Is initialized to this: Calculation Mode COMP Angle Unit Deg Exponential Display Format Norm 1 Fraction Display Format a b/c Decimal Point Character Dot + To cancel initialization without doing anything, press (Ac) (Cancel) instead of (=). 11 Basic Calculations Use the key to enter the COMP Mode when you want to perform basic calculations. G(ComP)| — 0 Inputting Expression and Values Example: 4 x sin30 x (30 + 10 x 3)=120 (Angle unit: Deg) 12 ROH vR3He) 4xsin 306. Note * The memory area used for calculation input can hold 79 "steps". One step is taken up each time you press a number key or arithmetic operator key ((], (=), (x). E)). A or (fx-82MS/fx-85MS/fx-300MS/fx-350MS only) key operation does not take up a step, so inputting WO), for example, takes up only one step. * You can input up to 79 steps for a single calculation. Whenever you input the 73rd step of any calculation, the cursor changes from "_" to "m" to let you know memory is running low. If you need to input more than 79 steps, you should divide your calculation into two or more parts. * Pressing the key recalls the last result obtained, which you can use in a subsequent calculation. See "Using Memory Functions - Answer Memory" for more information about using the key. | Making Corrections During Input * Use @ and ® to move the cursor to the location you want. « Press to delete the number or function at the current cursor position. * Press (PEt) (INS) to change to an insert cursor £3. Inputting something while the insert cursor is on the display inserts the input at the insert cursor position. + Pressing (E) (INS), or (=) returns to the normal cursor from the insert cursor. Example 1: To correct cos60 so it becomes sin60 60 | COS 60_ 12 eeom/s'"® Example 2: To correct the expression 369 x x 2 so it becomes 369 x 2 3690) 2 369xx2_ 0 @@ 369x2 0 Example 3: To correct 2.36? so it becomes sin2.362 2236 2.367_ 0. OOOOH Ginyp| 91" 296° | Clearing all of the calculation you are inputting Press (Ac). Arithmetic Calculations « Negative values inside of calculations must be enclosed within parentheses. For details, see "Calculation Priority Sequence." « It is not necessary to enclose a negative exponent within parentheses. sin 2.34 x 10° > (sin)2(- 34k) (5 Example 1: 23 + 4.5 - 53 = -25.5 23(4)40)5E)53() -25.5 Example 2: 56 x (-12) + (-2.5) = 268.8 6sWIO O20 FWC)26)50) 5) 268.8 Example 3: 2+3 x (1 x 107°) = 6.666666667 x 101° 2()3(k) 1k) 20E) 6.666666667*10'° Example 4: 7x 8-4x5=36 7&)8E)4Q)5E) 36. 6 Example 5: ax5 0.3 13 62) 450) &) 0.3 Example 6: 2 x [7+ 6 x (56+ 4)] = 122 2WIW7AeWOs5e4O OE) 122. | Number of Decimal Places and Number of Significant Digits To change the settings for the number of decimal places, the number of significant digits, or the exponential display format, press the keya number of times until you reach the setup screen shown below. Fix Sci Norm 1 2 3 Press the number key ((1], (2), or (@)) that corresponds to the setup item you want to change. (41) (Fix): Number of decimal places (Sci): Number of significant digits (3) (Norm): Exponential display format Example 1: 200+7 x 14= 200 (2)7 {k) 14) 400. (Specifies three decimal places.) _ OF) ) 400.000 * Press [Hove] ----- (3) (Norm) (4) to clear the Fix specification. Example 2: 1 + 3, displaying result with two significant digits (Sci 2) : SCl a (2)(Sci)2) 1E&)3E) 33-01 * Press [love] ----- (3) (Norm) (4) to clear the Sci specification. ] Omitting a Final Closed Parenthesis Example: (2 +3) x (4-1=15 1024)30) &) 461) 15. 14 Fraction Calculations Example 1: oN) + " a)a ol oo al 2213 (4) 14)5E) 1 2 11 Example 2: 33 + 13 = 475 3 (2) 1 2)4 (4) 1@)2@)3E) Example 3: 5 +1.6=2.1 1@2)24)1)6(E) Note 13.15. 451112. 2.1 ¢ Values are displayed in decimal format automatically whenever the total number of digits of a fractional value (integer + numerator + denominator + separator marks) exceeds 10. * Results of calculations that mix fraction and decimal values are always decimal. | Decimal — Fraction Conversion To switch a calculation result between fraction and decimal format: Press (@%). 3 Example 1: 2.75 = 25 (Decimal — Fraction) 20-175) 11 =7 WAC) Example 2: o «< 0.5 (Fraction Decimal) 1@)2E) 15 2.75 2534. 111 4. 132. 0.5 112. | Mixed Fraction — Improper Fraction Conversion To switch a calculation result between improper fraction and mixed fraction format: Press (@)(d/c). Example 1: 12 o : 1 (2) 2@2)3 (=) 14253. (HF (@2)(d/c) 533. (sx) (@2)(d/c) 15253. Note * You can use the display setup (Disp) screen to specify the display format when a fraction calculation result is greater than one. * To change the fraction display format, press the key a number of times until you reach the setup screen shown below. Disp <CONTP 1 2 Display the selection screen. (4) (Disp) ab/c d/c 1 2 Press the number key (G) or (2) ) that corresponds to the setting you want to use. (4) (ab/c): Mixed fraction (d/c): Improper fraction + An error occurs if you try to input a mixed fraction while the d/c display format is selected. Percent Calculations Calculation Method Calculation Type Calculation Formula . and Key Operations What is B percent of A? ACX)B xe) (=)(%) Percentage AxB Example 1 100 16 Calculation Type Calculation Formula Calculation Method and Key Operations What percent of B is Ratio A Example 2 B * 100 A? Xi P AG GH E)(%) . What is A increased by Premium AxB Example 3 A+ 700 B percent? Xi P ARsaA &)%)# Discount AxB What is A decreased Example 4 A- T00 by B percent? Example 5 ACX)B SF (E)(%) E) If A is added to B, by Rate of Change (1) +B x 100 what percent does B Example 6 B change? AGE)B BAF] EE) (%) If B becomes A, by Rate of Change (2) A-B x 100 what percent does B Example 7 change? AE]JB at (=) (%) Example 1: To calculate 12% of 1500 (180) 1500 [x] 12 (sur) (=) (%) 180. Example 2: To calculate what percentage of 880 is 660 (75%) 660 (=) 880 (sx) (=) (%) 75. Example 3: To increase 2500 by 15% (2875) 2500 (x) 15 GHET (=) (%) 4) 2875. Example 4: To decrease 3500 by 25% (2625) 3500 (x) 25 (HF) E)(%)(E) 2625. Example 5: To decrease the sum of 168, 98, and 734 by 20% (800) fx-82MS/fx-85MS/fx-300MS/fx-350MS: 17 168) 98 4) 734 (=) Gers) GHW (Ret (STO) [)(A) (uri) (2) (A)* Ge) 20 BH) (E} (%) [E) 800. * As shown here, if you want to use the current Answer Memory value in a mark up or discount calculation, you need to assign the Answer Memory value into a variable and then use the variable in the mark up/discount calculation. This is because the calculation performed when [E)(%) is pressed stores a result to Answer Memory before the (=) key is pressed. fx-220 PLUS: 168 (4) 98 4) 734 ) G4) WR) (Min) (up) > () 20 HF (=) (%) [E) 800. Example 6: 300 grams are added to a test sample originally weighing 500 grams, producing a final test sample of 800 grams. What percent of 500 grams is 800 grams? (160%) 300 E) 500 (HF (=) (%) 160. Example 7: What is the percentage change when a value is increased from 40 to 46? How about to 48? (15%, 20%) 46 (=) 40 BaF (=) (%) 15. @D@D@D@@O@8E) 20. 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 the syntax for inputting a sexagesimal value. {Degrees} [+] {Minutes} [+] {Seconds} [>] * Note that you must always input something for the degrees and minutes, even if they are zero. Example: Input 2°0’30” 2=)]0F=]30 G+] &) 2°0°30. 18 | 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 Example 1: 2°20°30” + 39°30” 2G) 20 C4) 30 b>) (4) 0-4) 39 4) 30 Ee») E) 3°0°0. Example 2: 12°34’56” x 3.45 129)34 G9) 5665] 30145) 43°24°31.2 | Converting Values between Sexagesimal and Decimal Example: To convert the decimal value 2.258 to a sexagesimal value and then back to a decimal value 2258) 2.258 (9) (<) 2°15°28.8 2.258 Multi-Statements (fx-82MS/fx-85MS/ fx-300MS/fx-350MS only) You can use the colon character (:) to connect two or more expressions and execute them in sequence from left to right when you press (=). Example: To add 2 + 3 and then multiply the result by 4 23 Nj mI K)4e)} 23 5 «Disp Ans x4 on 20. Using Engineering Notation A simple key operation transforms a displayed value to engineering notation. 19 Example 1: To convert 56088 meters to kilometers — 56.088 x 10? (km) 56088 (=) 56.088x10°° Example 2: To convert 0.08125 grams to milligrams — 81.25 x 10° (mg) O(-)08125 (=) 81.25x 10°08 Example 3: Transform the value 1234 to engineering notation, shifting the decimal point to the right. 1234 (=) 1234. ENG 1.234x10% ENG 1234.x10° Example 4: Transform the value 123 to engineering notation, shifting the decimal point to the left. 123) 123. (ENG) (<<) 0.123x10° (ENG) () 0.000123%10° Calculation History and Replay | Calculation History In the COMP Mode, the calculator remembers up to approximately 150 bytes of data for the newest calculation. An A and/or ¥ at the top of the display indicates that there is more calculation history content above and/or below. You can scroll through calculation history contents using @ and @). Example: 1+1=2 141) 2. 2+2=4 2) 2) 4. 3+3=6 34)3E) 6. (Scrolls back.) @) 4. (Scrolls back again.) 2. 20 Note * Calculation history data is all cleared whenever you press , when you change to a different calculation mode, or whenever you initialize modes and settings. | Replay While a calculation result is on the display, you can press @ or ®) to edit the expression you used for the previous calculation. Example: 4x3+2=14 4x3-7=5 4)34)2() 14. (Continuing) @ &)7) 5. Using Memory Functions | Answer Memory (Ans) + Whenever you press (=) after inputting values or an expression, the calculated result automatically updates Answer Memory contents by storing the result. + fx-82MS/fx-85MS/fx-300MS/fx-350MS: In addition to (E), Answer Memory contents are also updated with result whenever you press (=)(%), (i), (N+) (M-), or (Rcl] (STO) followed by a letter (A through F, or M, X, or Y). fx-220 PLUS: In addition to (=), Answer Memory contents are also updated with result whenever you press (=) (%), (M4), (M+) (M-), or (Min). * You can recall Answer Memory contents by pressing (Ars). « Answer Memory can store up to 15 digits for the mantissa and two digits for the exponent. « Answer Memory contents are not updated if the operation performed by any of the above key operations results in an error. Consecutive Calculations * You can use the calculation result that is currently on the display (and also stored in Answer Memory) as the first value of your next calculation. Note that pressing an operator key while a result is displayed causes the displayed value to change to Ans, indicating it is the value that is currently stored in Answer Memory. * The result of a calculation can also be used with a subsequent Type A function (x2, x3, x1, x!, DRGp), +, -, x, V, x, +, nPr and Cr. 21 Example 1: To divide the result of 3 x 4 by 30 3(x)}4E) 12. mui Ans+30 (Continuing) (£)30(=) 0.4 Example 2: To perform the calculations shown below: 123+456=579 789-579=210 J 123 (4) 456 (E) 579. (Continuing) 789(&) (as) (=) 210. ] Variables (A, B, C, D, E, F, M, X, Y) (fx-82MS/ fx-85MS/fx-300MS/fx-350MS only) Your calculator has nine preset variables named A, B, C, D, E, F, M, X, and Y. You can assign values to variables and use the variables in calculations. Example: To assign the result of 3 + 5 to variable A 3) 5 (HF) (Ret) (STO) (©) (A) 8. To multiply the contents of variable A by 10 (Continuing) (6) (A) x) 10E) 80. To recall the contents of variable A (Continuing) (O)(A) 8. To clear the contents of variable A 0 Ge FE (STO) [)(A) 0. | Independent Memory (M) You can add calculation results to or subtract results from independent memory. The "M" indicator appears on the display when there is any value other than zero stored in independent memory. 22 Example 1: To clear the contents of M fx-82MS/fx-85MS/fx-300MS/fx-350MS: O (He) (Ret) (STO) (M+) (M) fx-220 PLUS: O (SHiF) (WA) (Min) To add the result of 10 x 5 toM (Continuing) 10(%)5 (i) To subtract the result of 10 + 5 from M (Continuing) 10 (GE)5 G4F) (4) (M-) To recall the contents of M fx-82MS/fx-85MS/fx-300MS/fx-350MS: (Continuing) (i+) (M) fx-220 PLUS: (Continuing) Example 2: 23 +9 = 32 53 - 6 = 47 -) 45 x 2=90 99 + 3 = 33 (Total) 22 fx-82MS/fx-85MS/fx-300MS/fx-350MS: 23(4)9 GH FE (STO) HE] (M) 53(E)6 (i+) 45 (x) 2 G8) 0) (M-) 99 (=) 3 (i+) (5) (M) fx-220 PLUS: 23 (4) 9 HF (UR) (Min) 23 50. 15. 35. 35. 32. 47. 90. 33. 22. 32. 53(E)6 fi) 47. 45 (x) 2 Gx) (M+) (M-) 90. 99 =) 3 [it] 33. 22. | Clearing the Contents of All Memories Independent memory and variable contents are retained even if you press {Ac}, or turn off the calculator. Perform the following procedure when you want to clear the contents of all memories. fx-82MS/fx-85MS/fx-300MS/fx-350MS: (one) (CLR) G1) (Mcl) E) fx-220 PLUS: (G1) (Mcl) E) 24 Function Calculations Use the key to enter the COMP Mode when you want to perform function calculations. G(ComP)| — 0 Using functions can slow down a calculation, which may delay display of the result. To interrupt an ongoing calculation before its result appears, press (ac). Pi (z), Natural Logarithm Base e J Pi (z) You can input pi (z) into a calculation. The following shows the required key operations and the values this calculator uses for pi (z). m = 3.14159265358980 ( (SHIT (x10) (z)) z is displayed as 3.141592654, but z = 3.14159265358980 is used for internal calculations. | Natural Logarithm Base e (fx-82MS/fx-85MS/ fx-300MS/fx-350MS only) You can input natural logarithm base e into a calculation. The following shows the required key operations and the values this calculator uses for e. e = 2.71828182845904 ( (alr) (in) (e )) e is displayed as 2.718281828, but e = 2.71828182845904 is used for internal calculations. Trigonometric Functions, Inverse Trigonometric Functions | Trigonometric Functions * To change the default angle unit (degrees, radians, grads), press the key a number of times until you reach the angle unit setup screen shown below. 25 Deg Rad Gra 1 2 3 * Press the number key ((1], (2), or (3)) that corresponds to the angle unit you want to use. (90° = z/2 radians = 100 grads) Example 1: sin 30° = 0.5 (Angle unit: Deg) (sin) 30 E) 0.5 Example 2: cos(-+) = 0.5 (Angle unit: Rad) (cos) CC) Gar fe} (7) E30) &) 0.5 Example 3: tan(-35) = -0.612800788 (Angle unit: Gra) ©)350) &) -0.612800788 ] Inverse Trigonometric Functions Example 1: sin’! 0.5 = 30° (Angle unit: Deg) trees (4) (Deg) (sin)(sin") 0 J5E) 30. Example 2: cos™ 4 =0.2572 (= +) (Angle unit: Rad) (HF) [cos] (cos) )2E)20) E) (ans) FE) SHED 0} () E) 0.25 Example 3: tan’ 0.741 = 36.53844577° (Angle unit: Deg) (tan) (tan-’) 0) 741) 36.53844577 Hyperbolic Functions, Inverse Hyperbolic Functions Example 1: sinh 3.6 = 18.28545536 26 (Sin) (sinh) 3-6 (=) 18.28545536 Example 2: sinh" 30 = 4.094622224 (Si) (sinh*) 30 &) 4.094622224 Angle Unit Conversion Press (4s) (DRG » ) to display the following menu. DRG 12 3 Pressing (1), (2), or (3) converts the displayed value to the corresponding angle unit. Example: To convert the 4.25 radians to degrees tees (4) (Deg) 4.251 425 Gary [rs] (DRG > )(2)(R)E) | 243.5070629 Exponential Functions, Logarithmic Functions | Exponential Functions Example 1: e = 22026.46579 (n)(e*) 10) 22026.46579 Example 2: 10'5 = 31.6227766 (eg) (10*) 1 )5E) 31.6227766 Example 3: 2° = 0.125 2A 3E) 0.125 Example 4: (-2)* = 16 OSB)20A4e) 16. Note + Negative values inside of calculations must be enclosed within parentheses. For details, see "Calculation Priority Sequence." 27 | Logarithmic Functions Example 1: log 1.23 = 0.089905111 (og) 1 23 (=) Example 2: In 90 (= log. 90) = 4.49980967 Un) 90 (=) 0.089905111 4.49980967 Example 3: In e = 1 (fx-82MS/fx-85MS/fx-300MS/fx-350MS only) Cin) (4) Cin) (e )E) Power Functions and Power Root Functions Example 1: V2 + V3 x V5 = 5.287196909 M24) 43k) M5) Example 2: ¥5 + C27 = -1.290024053 3, MAA FAmANOEez7Hn8 1 Example 3: (123 (= 1237) = 1.988647795 7 (AV) 123) Example 4: 123 + 30? = 1023 123 (4)30 [27] (E) Example 5: 129 = 1728 122) E) 1 Example 6: [7 = 12 3.4 Os E4BOBe) 28 5.287196909 -1.290024053 1.988647795 1023. 1728. 12. Rectangular-Polar Coordinate Conversion Pol converts rectangular coordinates to polar coordinates, while Rec converts polar coordinates to rectangular coordinates. Pol(x, y) = (r, 9) Rec(r, 0) = (x, y) . P(r,0) Pol Rec 0 0 x (2) (1) Rectangular Coordinates (Rec) (2) Polar Coordinates (Pol) Specify the angle unit before performing calculations. Calculation result @ is displayed in the range of -180° < @ = 180°. Calculation results are automatically assigned to variables E and F. (fx-82MS/fx-85MS/fx-300MS/fx-350MS only) Example 1: To convert polar coordinates (7 = 2, 0 = 60°) to rectangular coordinates (x, y) (Angle unit: Deg) fx-82MS/fx-85MS/fx-300MS/fx-350MS: x =1 (sxiF (Pol) (Rec() 20+ J60D) E) 1. y = 1.732050808 (tan) (F) 1.732050808 * Press cos] (E) to display the value of x, or (tan) (F) to display the value of y. fx-220 PLUS: x =1 (Reet) 2 (SH L)(,) 600) E) 1. y = 1.732050808 GHIFT) Rec()(v, 6) (=) 1.732050808 + Press (HE (Pol)(x, +) (E) to display the value of x, or (SHIFT) Rec)(y, 0) (=) to display the value of y. 29 Example 2: To convert rectangular coordinates (1, V3) to polar coordinates (7, 8) (Angle unit: Rad) fx-82MS/fx-85MS/fx-300MS/fx-350MS: r=2 h1 430) &) 2. 0 = 1.047197551 (tan) (F) 1.047197551 * Press (cos] (E) to display the value of r, or (tan) (F) to display the value of 0. fx-220 PLUS: r=2 m1 oF O)M30 Ee) 2. 0 = 1.047197551 GHD Rec) (y, )(E) 1.047197551 * Press (SH) (Pol)(x, 7) (E) to display the value of r, or (SHIFT) Rec) (y, @) (=) to display the value of @. Factorial (!) This function obtains the factorials of a value that is zero or a positive integer. Example: (5 + 3)! = 40320 5300) A (0) 40320. Random Number (Ran#) Function that generates a pseudo random number in the range of 0.000 to 0.999. Example: Generate three 3-digit random numbers. The random 3 digit decimal values are converted to 3-digit integer values by multiplying by 1000. Note that the values shown here are examples only. Values actually generated by your calculator will be different. 1000 Gar) (-] (Ran#)E) 634. 30 =) 92. =) 175. Random Integer (RanInt#) (fx-220 PLUS only) For input of the function of the form RanInt#(a, b), which generates a random integer within the range of a to b. Example: To generate a random integer in the range of 1 to 6. Note that the values shown here are examples only. Values actually generated by your calculator will be different. Ga (2) (Ranint) 1) CO(,) 60) &) 2. (=) 4. =e) 1. Permutation (”Pr) and Combination (nCr) These functions make it possible to perform permutation and combination calculations. n and r must be integers in the range of 0 S r S$ n <1 10". Example 1: To determine how many different 4-digit values can be produced using the numbers 1 through 7 *« Numbers cannot be duplicated within the same 4-digit value (1234 is allowed, but 1123 is not). 7 GA 6 (nPr) 4) 840. Example 2: To determine how many different 4-member groups can be organized in a group of 10 individuals 106014 (E) 210. 31 Rounding function (Rnd) Using the Rnd function causes decimal fraction values of the argument to be rounded in accordance with the current number of display digits setting (Norm, Fix, Sci). With Norm 1 or Norm 2, the argument is rounded off to 10 digits. Example: To perform the following calculations when Fix 3 is selected for the number of display digits: 10 + 3 x 3 and Rnd(10 = 3) x 3 wees (1) (Fix) 3) 10E)30)3E) 10.000 10 )3() Gee (0) (Rnd) (x) 3 E) 9.999 32 Using Calculation Modes Statistical Calculations (SD, REG”) * fx-82MS/fx-85MS/fx-300MS/ fx-350MS only | Standard Deviation (SD) Use the key to enter the SD Mode when you want to perform statistical calculations using standard deviation. sD {uo} (2](SD)}_ — 0. + In the SD Mode and REG Mode, the key operates as the (DT) key. * fx-82MS/fx-85MS/fx-300MS/fx-350MS: Always start data input with (wove) (CLR) (1) (Scl) (=) to clear statistical memory. fx-220 PLUS: Always start data input with (1A) (1) (Scl) (=) to clear statistical memory. * Input data using the key sequence shown below. <x-data> + Input data is used to calculate values for n, Xx, Xx?, x, o, ands,, which you can recall using the key operations noted nearby. To recall Perform this key operation: this type fx-82MS/fx-85MS/ of fx-220 PLUS value: fx-300MS/fx-350MS zx? | Gar) G)(S-SUM) G7) (zx?) Gary (4) (2x7) zx (ae (1) (S-SUM) 2] (zx) (sxe (S)(2 x) ” GF) (1) (S-SUM)(B)(n) (sHF1) (6) (7) ¥ (HF (2)(S-VAR) (1) (7) (sur) (7) (x) Ox (He) (2](S-VAR)(2)}(o +) (He) (8)(o x) Sx (2](S-VAR)B](s+) (9)\(sx) 33 Example: To calculate s,, ox, ¥, n, 2x, and 2x? for the following data : 55, 54, 51, 55, 53, 53, 54, 52 fx-82MS/fx-85MS/fx-300MS/fx-350MS: In the SD Mode: (ove) (CLR) 1) (Scl) (=) (Stat clear) 55 (01) 1. Each time you press to register your input, the number of data input up to that point is indicated on the display (” value). 54 07)51 (07)55(07)53 OT) O1)54 1)52(07) Sample Standard Deviation (s,) = 1.407885953 (2)(S-VAR)GB)(sx)E) Population Standard Deviation (¢ ,) = 1.316956719 (2)(S-VAR)2)(o +) E) Arithmetic Mean (x) = 53.375 (2}(S-VAR)G) (x) E) Number of Data (7) = 8 G)(S-SUM) (3) (7) E) Sum of Values (2x ) = 427 G)(S-SUM)2)(2x)E) Sum of Squares of Values (2 x?) = 22805 G)(S-SUM) G) (2x7) E) fx-220 PLUS: In the SD Mode: 1.407885953 1.316956719 53.375 427. 22805. (4) (Scl) E) (Stat clear) 55 (01) 1. Each time you press to register your input, the number of data input up to that point is indicated on the display (7 value). 54 07)51 (07)55(07)53 OT) O1)54 1)52(07) Sample Standard Deviation (s,) = 1.407885953 Gar (9) (s.)E) 34 1.407885953 Population Standard Deviation (¢ ,) = 1.316956719 HF (8) (o «)[E) 1.316956719 Arithmetic Mean (x) = 53.375 @W(+)E) 53.375 Number of Data (7) = 8 (6)(n) =) 8. Sum of Values (2 x) = 427 )(=x)E) 427. Sum of Squares of Values (2 x?) = 22805 \(zx7)E) 22805. Data Input Precautions . inputs the same data twice. * fx-82MS/fx-85MS/fx-300MS/fx-350MS: You can also input multiple entries of the same data using (2)(;). To input the data 110 ten times, for example, press 110 (HFT) (+ ](;) 1007). fx-220 PLUS: You can also input multiple entries of the same data using 0)(;). To input the data 110 ten times, for example, press 110 (SHFI) 0)() 1000). « You can perform the above key operations in any order, and not necessarily that shown above. * While inputting data or after inputting data is complete, you can use the @ and @ keys to scroll through data you have input. If you input multiple entries of the same data using (2) (;) (4) 0) (;) on the fx-220 PLUS) to specify the data frequency (number of data items) as described above, scrolling through data shows both the data item anda separate screen for the data frequency (Freq). * You can then edit the displayed data, if you want. Input the new value and then press the (=) key to replace the old value with the new one. This also means that if you want to perform some other operation (calculation, recall of statistical calculation results, etc.), you should always press the key first to exit data display. * Pressing the key instead of (=) after changing a value on the display registers the value you input as a new