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Casio 350ms Manual

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    E http://world.casio.com/edu/

    fx-82MS

    fx-83MSfx-85MS

    fx-270MSfx-300MS

    fx-350MSUser's Guide

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    CASIO ELECTRONICS CO., LTD.

    Unit 6, 1000 North Circular Road,

    London NW2 7JD, U.K.

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    E-1

    Removing and Replacingthe Calculators Cover

    Before starting .....1Holding the cover as shown in the illustration, slide theunit out of the cover.

    After you are finished .....2Holding the cover as shown in the illustration, slide theunit out of the cover.

    Always slide the keyboard end of the unit into the coverfirst. Never slide the display end of the unit into the cover.

    .....1

    .....2

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    E-2

    Safety Precautions

    Be sure to read the following safety precautions before

    using this calculator. Keep this manual handy for later ref-erence.

    Caution

    This symbol is used to indicate information that can

    result in personal injury or material damage if ignored.

    Batteries After removing the battery from the calculator, put it

    in a safe place where it will not get into the hands ofsmall children and accidentally swallowed.

    Keep batteries out of the reach of small children. Ifaccidentally swallowed, consult with a physician im-mediately.

    Never charge batteries, try to take batteries apart, orallow batteries to become shorted. Never exposebatteries to direct heat or dispose of them by incin-eration.

    Misuse of batteries can cause them to leak and dam-age nearby items, and can create the risk of fire andpersonal injury. Always make sure that the batterys positivekand

    negativelends are facing correctly when you loadit into the calculator.

    Remove the battery if you do not plan to use thecalculator for a long time (fx-82MS/fx-83MS/fx-270MS/fx-350MS).

    Use only the type of battery specified for this calcu-lator in this manual.

    Disposing of the Calculator

    Never dispose of the calculator by burning it. Doingso can cause certain components to suddenly burst,creating the risk of fire and personal injury.

    The displays and illustrations (such as key markings)shown in this Users Guide are for illustrative purposesonly, and may differ somewhat from the actual items they

    represent.

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    E-3

    The contents of this manual are subject to change with-out notice.

    In no event shall CASIO Computer Co., Ltd. be liable toanyone for special, collateral, incidental, or consequentialdamages in connection with or arising out of the purchaseor use of these materials. Moreover, CASIO ComputerCo., Ltd. shall not be liable for any claim of any kindwhatsoever against the use of these materials by anyother party.

    Handling Precautions Be sure to press the5key before using the calcu-

    lator for the first time. Even if the calculator is operating normally, replace

    the battery at least once every three years for the fx-

    83MS/fx-85MS/fx-270MS/fx-300MS/fx-350MS, or atleast once every two years for the fx-82MS.A dead battery can leak, causing damage to and mal-function of the calculator. Never leave a dead battery inthe calculator.

    The battery that comes with this unit dischargesslightly during shipment and storage. Because of

    this, it may require replacement sooner than thenormal expected battery life.

    Low battery power can cause memory contents tobecome corrupted or lost completely. Always keepwritten records of all important data.

    Avoid use and storage in areas subjected to tem-

    perature extremes.Very low temperatures can cause slow display response,total failure of the display, and shortening of battery life.Also avoid leaving the calculator in direct sunlight, neara window, near a heater or anywhere else it might beexposed to very high temperatures. Heat can cause dis-coloration or deformation of the calculators case, and

    damage to internal circuitry. Avoid use and storage in areas subjected to large

    amounts of humidity and dust.Take care never to leave the calculator where it mightbe splashed by water or exposed to large amounts ofhumidity or dust. Such conditions can damage internalcircuitry.

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    E-4

    Never drop the calculator or otherwise subject it tostrong impact.

    Never twist or bend the calculator.Avoid carrying the calculator in the pocket of your trou-sers or other tight-fitting clothing where it might be sub-

    jected to twisting or bending. Never try to take the calculator apart. Never press the keys of the calculator with a ball-

    point pen or other pointed object. Use a soft, dry cloth to clean the exterior of the cal-

    culator.If the calculator becomes very dirty, wipe it off with acloth moistened in a weak solution of water and a mildneutral household detergent. Wring out all excess mois-ture before wiping the calculator. Never use thinner, ben-zene or other volatile agents to clean the calculator. Do-ing so can remove printed markings and can damage

    the case.

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    E-5

    Contents

    Removing and Replacing theCalculators Cover .................................. 1

    Safety Precautions .................................. 2

    Handling Precautions ............................. 3

    Two-line Display ...................................... 7

    Before getting started... .......................... 7

    kModes .................................................................... 7

    kInput Capacity ........................................................ 8

    kMaking Corrections During Input ........................... 8

    kReplay Function ..................................................... 9

    kError Locator .......................................................... 9

    kMulti-statements .................................................... 9

    kExponential Display Formats ............................... 10

    kDecimal Point and Separator Symbols ................ 10

    kInitializing the Calculator ....................................... 11

    Basic Calculations .................................11

    kArithmetic Calculations ......................................... 11

    kFraction Operations .............................................. 11

    kPercentage Calculations ...................................... 13

    kDegrees, Minutes, Seconds Calculations ............ 14kFIX, SCI, RND ..................................................... 15

    Memory Calculations ............................ 16

    kAnswer Memory ................................................... 16

    kConsecutive Calculations .................................... 16

    kIndependent Memory ........................................... 16

    kVariables .............................................................. 17

    Scientific Function Calculations.......... 17

    kTrigonometric/Inverse Trigonometric Functions ... 18

    kHyperbolic/Inverse Hyperbolic Functions ............ 18

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    E-7

    To perform this type of Perform this To entercalculation: key operation: this mode:

    Basic arithmetic calculations F1 COMP

    Standard deviation F2 SD

    Regression calculations F3 REG

    Two-line Display

    The two-line display makes it possible to view

    both the calculation formula and its result atthe same time.

    The upper line shows the calculation formula. The lower line shows the result.

    A separator symbol is displayed every three digits whenthe integer part of the mantissa has more than three dig-its.

    Before getting started...

    kModes

    Before starting a calculation, you must first enter the cor-rect mode as indicated in the table below.

    Pressing theFkey more than once displays additionalsetup screens. Setup screens are described in the sec-tions of this manual where they are actually used to

    change the calculator setup. In this manual, the name of the mode you need to enter

    in order to perform the calculations being described isindicated in the main title of each section.

    Example: SDREG

    StatisticalCalculations

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    E-8

    Note!

    To return the calculation mode and setup to the initialdefaults shown below, pressAB2(Mode)=.

    Calculation Mode: COMPAngle Unit: DegExponential Display Format: Norm 1Fraction Display Format: ab/cDecimal Point Character: Dot

    Mode indicators appear in the upper part of the display.

    Be sure to check the current calculation mode (SD, REG,COMP) and angle unit setting (Deg, Rad, Gra) beforebeginning a calculation.

    k Input Capacity

    The memory area used for calculation input can hold 79

    steps. One step is taken up each time you press anumber key or arithmetic operator key (+,,,-,\).AAor pkey operation does not take up a step, soinputtingAD, 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 k to let you know

    memory is running low. If you need to input more than79 steps, you should divide your calculation into two ormore parts.

    Pressing the gkey recalls the last result obtained, whichyou can use in a subsequent calculation. See AnswerMemory for more information about using the gkey.

    kMaking Corrections During Input

    Use eand rto move the cursor to the location youwant.

    Press[to delete the number or function at the currentcursor position.

    PressA

    K

    to change to an insert cursort. Inputtingsomething while the insert cursor is on the display in-serts the input at the insert cursor position.

    PressingAK, or=returns to the normal cursor fromthe insert cursor.

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    E-9

    kReplay Function

    Every time you perform a calculation, the replay functionstores the calculation formula and its result in replay

    memory. Pressing the[key displays the formula andresult of the calculation you last performed. Pressing[again back steps sequentially (new-to-old) through pastcalculations.

    Pressing the eor rkey while a replay memory cal-culation is on the display changes to the editing screen.

    Pressing the eor rkey immediately after you finisha calculation displays the editing screen for that calcula-tion.

    Pressingtdoes not clear replay memory, so you canrecall the last calculation even after you presst.

    Replay memory capacity is 128 bytes for storage of bothexpressions and results.

    Replay memory is cleared by any of the following ac-tions.When you press the5keyWhen you initialize modes and settings by pressingAB2(or3)=When you change from one calculation mode to anotherWhen you turn off the calculator.

    kError Locator

    Pressing ror eafter an error occurs displays the

    calculation with the cursor positioned at the locationwhere the error occurred.

    kMulti-statementsA multi-statement is an expression that is made up of twoor more smaller expressions, which are joined using a colon( : ).

    Example: To add 2 + 3 and then multiply the result by 4

    2+3 p\g-4=

    =

    5.2+

    3 Disp

    20.Ans4

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    E-10

    kExponential Display Formats

    This calculator can display up to 10 digits. Larger valuesare automatically displayed using exponential notation. In

    the case of decimal values, you can select between twoformats that determine at what point exponential notationis used. To change the exponential display format, press theF

    key a number of times until you reach the exponentialdisplay format setup screen shown below.

    Press3. On the format selection screen that appears,

    press1to select Norm 1 or2for Norm 2.

    uNorm 1With Norm 1, exponential notation is automatically usedfor integer values with more than 10 digits and decimalvalues with more than two decimal places.

    uNorm 2With Norm 2, exponential notation is automatically used

    for integer values with more than 10 digits and decimalvalues with more than nine decimal places.

    All of the examples in this manual show calculation re-

    sults using the Norm 1 format.

    kDecimal Point and Separator Symbols

    You can use the display setup (Disp) screen to specify thesymbols you want for the decimal point and 3-digit sepa-rator. To change the decimal point and separator symbol set-

    ting, press theFkey a number of times until you reachthe setup screen shown below.

    1 2 3F i x Sc i No rm

    1D i s p

    Display the selection screen.1r

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    E-11

    COMP

    Press the number key (1or2) that corresponds tothe setting you want to use.

    1(Dot): Period decimal point, comma separator2

    (Comma): Comma decimal point, period separator

    k Initializing the Calculator

    Perform the following key operation when you want toinitialize the calculation mode and setup, and clear re-play memory and variables.

    AB3(All)=

    Basic Calculations

    kArithmetic Calculations

    Use theFkey to enter the COMP Mode when youwant to perform basic calculations.

    COMP .............................................................F1

    Negative values inside of calculations must be enclosedwithin parentheses. For details, see Order of Operations.

    It is not necessary to enclose a negative exponent withinparentheses.

    sin 2.34 105S2.34eD5

    Example 1: 3(5109) 1.5108

    3-5eD9=

    Example 2: 5(97) 80 5-R9+7 T=

    You can skip allToperations before=.

    kFraction Operations

    uFraction Calculations

    Values are displayed in decimal format automaticallywhenever the total number of digits of a fractional value(integer + numerator + denominator + separator marks)exceeds 10.

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    Results of calculations that mix fraction and decimal val-ues are always decimal.

    uDecimal Fraction Conversion Use the operation shown below to convert calculation

    results between decimal values and fraction values. Note that conversion can take as long as two seconds

    to perform.

    1

    2 Example 4: 1.6 2.1 1C2+1.6=

    Example 3: 2C

    4=

    2

    4

    1

    2

    1

    5

    2

    3

    13 15.00

    13

    15 Example 1:

    2C3+1C5=

    4 11 12.00

    Example 2:3 1 4

    3C1C4+

    1C2C3=

    2

    3

    1

    4

    11

    12

    C

    C

    0.500

    1 2.00

    1 2.00

    12

    Example 2: 0.5 (Fraction Decimal)

    1C2=

    2 3 4.00

    11 4.00

    Example 1: 2.75 2 (Decimal Fraction)2.75= 2.75

    C

    AB

    3

    4

    11

    4

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    E-13

    uMixed Fraction Improper FractionConversion

    Example: 1

    1C2C3=

    AB

    AB

    5 3.00

    1 2 3.00

    5

    3

    2

    31 2 3.00

    You can use the display setup (Disp) screen to specifythe display format when a fraction calculation result isgreater than one.

    To change the fraction display format, press the qkeya number of times until you reach the setup screen shownbelow.

    1D i s p

    Display the selection screen.1

    Press the number key (1or2) that corresponds to

    the setting you want to use.1(ab/c): Mixed fraction2(d/c): Improper fraction

    An error occurs if you try to input a mixed fraction whilethe d/c display format is selected.

    kPercentage Calculations

    Example 1: To calculate 12% of 1500 (180)

    1500-12Av

    Example 2: To calculate what percentage of 880 is 660

    (75%)660\880Av

    Example 3: To add 15% onto 2500 (2875)

    2500-15Av+

    Example 4: To discount 3500 by 25% (2625)

    3500-25Av,

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    E-14

    Example 5: To discount the sum of 168, 98, and 734 by20% (800)

    168+98+734=gAj1

    p1-20Av,

    * As shown here, if you want to use the current AnswerMemory value in a mark up or discount calculation, youneed to assign the Answer Memory value into a variableand then use the variable in the mark up/discount

    calculation. This is because the calculation performedwhenvis pressed stores a result to Answer Memorybefore the,key is pressed.

    Example 6: If 300 grams are added to a test sampleoriginally weighing 500 grams, what is the percentageincrease in weight? (160%)

    300+500Av

    Example 7:What is the percentage change when a valueis increased from 40 to 46? How about to 48?

    (15%, 20%)

    46,40Av

    eeeeee8=

    kDegrees, Minutes, SecondsCalculations

    You can perform sexagesimal calculations using degrees(hours), minutes, and seconds, and convert betweensexagesimal and decimal values.

    Example 1: To convert the decimal value 2.258 to asexagesimal value and then back to a decimal value

    *

    2.258= 2.258

    AO 215

    28.8

    I 2.258

    Example 2: To perform the following calculation:

    123456 3.45

    12I34I56I-3.45= 432431.2

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    E-15

    kFIX, SCI, RND

    To change the settings for the number of decimal places,the number of significant digits, or the exponential dis-

    play format, press theFkey a number of times untilyou reach the setup screen shown below.

    1 2 3F i x Sc i No rm

    Press the number key (1,2, or3) that correspondsto the setup item you want to change.

    1(Fix): Number of decimal places2(Sci): Number of significant digits3(Norm): Exponential display format

    400.00

    Example 1:200 7 14

    200\7-14=

    F.....1(Fix)3 400.00000FIX

    (Specifies three

    decimal places.)

    200\7=

    -14=

    28.57100

    400.00000

    (Internal calculation continues

    using 12 digits.)

    The following performs the same calculation using thespecified number of decimal places.

    PressF.....3(Norm)1 to clear the Fix specifica-

    tion.

    28.57100

    28.57100

    399.99400

    200\7=

    (Internal rounding) AQ

    -14=

    Example 2:1 3, displaying result with two significantdigits (Sci 2)

    F.....2(Sci)21\3= 3.301SCI

    PressF.....3(Norm)1to clear the Sci specifica-

    tion.

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    E-16

    COMPMemory Calculations

    Use theFkey to enter the COMP Mode when you

    want to perform a calculation using memory.

    COMP .............................................................F1

    kAnswer Memory

    Whenever you press=after inputting values or an ex-

    pression, the calculated result automatically updatesAnswer Memory contents by storing the result. In addition to=, Answer Memory contents are also up-

    dated with result whenever you pressAv,|,A{, orAjfollowed by a letter (A through F, or M, X,or Y).

    You can recall Answer Memory contents by pressing g.

    Answer Memory can store up to 12 digits for the mantissaand two digits for the exponent.

    Answer Memory contents are not updated if the opera-tion performed by any of the above key operations re-sults in an error.

    kConsecutive Calculations You can use the calculation result that is currently on the

    display (and also stored in Answer Memory) as the firstvalue of your next calculation. Note that pressing anoperator key while a result is displayed causes the dis-played 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 sub-

    sequent Type A function (x2, x3, x1, x!, DRG'), +, ,^(xy), x , , , nPrand nCr.

    k Independent Memory

    Values can be input directly into memory, added tomemory, or subtracted from memory. Independentmemory is convenient for calculating cumulative totals.

    Independent memory uses the same memory area asvariable M.

    To clear independent memory (M), input0Aj3(M+).

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    E-17

    COMP

    Example:

    23 9 32 23+9Aj3(M+)

    53 6 47 53,6|

    ) 45 2 90 45-2A{

    (Total) 11 03(M+)

    kVariables

    There are nine variables (A through F, M, X and Y), which

    can be used to store data, constants, results, and othervalues.

    Use the following operation to delete data assigned to aparticular variable:0A j1. This operation de-letes the data assigned to variable A.

    Perform the following key operation when you want toclear the values assigned to all of the variables.

    AB1(Mcl)=

    Example: 193.2 23 8.4

    193.2 28 6.9

    193.2Aj1\23=

    p1\28=

    Scientific FunctionCalculations

    Use theF

    key to enter the COMP Mode when youwant to perform scientific function calculations.

    COMP .............................................................F1

    Certain types of calculations may take a long time tocomplete.

    Wait for the result to appear on the display before start-

    ing the next calculation. = 3.14159265359

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    E-18

    kTrigonometric/Inverse TrigonometricFunctions

    To change the default angle unit (degrees, radians,

    grads), press theFkey a number of times until youreach the angle unit setup screen shown below.

    1 2 3Deg Rad Gr a

    Press the number key (1,2, or3) that correspondsto the angle unit you want to use.

    (90= radians = 100 grads)

    Example 1: sin 6352410.897859012

    q.....1(Deg)

    S63I52I41I=

    2

    Example 3: cos1

    q.....2(Rad)

    AVRL2\2T=g\Ax=

    0.25 (rad)( (rad))4

    2

    2

    Example 2: cos ( rad) 0.5q.....2(Rad)

    WRAx\3T=

    3

    Example 4: tan1

    0.74136.53844577

    q.....1(Deg)

    Ag0.741=

    kHyperbolic/Inverse HyperbolicFunctions

    Example 1: sinh 3.6 18.28545536 MS3.6=

    Example 2: sinh1304.094622224

    MAj30=

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    E-19

    kCommon and Natural Logarithms/Antilogarithms

    Example 1: log 1.23 0.089905111 R1.23=

    Example 2: In 90 (= loge90) = 4.49980967

    T90=

    ln e1 TpP=

    Example 3: e1022026.46579 AU10=

    Example 4: 101.531.6227766 AQ1.5=

    Example 5: 23 0.125 2WD3=

    Example 6: (2)4 16 RD2TW4=

    Negative values inside of calculations must be enclosedwithin parentheses. For details, see Order of Operations.

    kSquare Roots, Cube Roots, Roots,Squares, Cubes, Reciprocals,

    Factorials, Random Numbers, , andPermutation/Combination

    Example 1: 2 3 5 5.287196909

    L2+L3-L5=

    Example 2:3

    5 327 1.290024053

    AD5+ADRD27T=

    Example 4: 123 3021023 123+30K=

    Example 5: 1231728 12N =

    1

    7 Example 3:7 123 ( = 123 ) 1.988647795

    7AH123=

    Example 6: 12

    R3a,4aTa=

    1 13 4

    1

    Example 7: 8! 40320 8Af=

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    E-20

    Example 9: 39.424777961 3Ax=

    Example 10: To determine how many different 4-digitvalues 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). (840)

    7Am4=

    Example 11: To determine how many different 4-mem-ber groups can be organized in a group of 10 individuals

    (210)

    10n4=

    kAngle Unit Conversion

    PressAvto display the following menu.

    Pressing1,2, or3converts the displayed value tothe corresponding angle unit.

    Example: To convert 4.25 radians to degrees

    q.....1(Deg)

    4.25A

    v

    2

    (R)=

    kCoordinate Conversion (Pol (x, y),Rec (r, ))

    Calculation results are automatically assigned to vari-ables E and F.

    Example 1: To convert polar coordinates (r2, 60)to rectangular coordinates (x,y) (Deg)

    x1 AF2 P60 T=

    y1.732050808 0o

    Press0nto display the value ofx, or0oto dis-play the value ofy.

    1 2 3D R G

    243.5070629

    4.25r

    0.66400

    Example 8: To generate a random number between0.000 and 0.999

    AM=

    (The above value is a sample only. Results differ each time.)

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    E-21

    SD

    REG

    SD

    Example 2: To convert rectangular coordinates (1, 3)to polar coordinates (r,) (Rad)

    r2 f1 PL3 T=

    1.047197551 0o Press0nto display the value of r, or0oto dis-

    play the value of .

    kEngineering Notation Calculations

    Example 1:To convert 56,088 meters to kilometers56.088 10 3 56088=J

    (km)

    Example 2:To convert 0.08125 grams to milligrams

    81.2510 3 0.08125=J

    (mg)

    StatisticalCalculations

    Standard Deviation

    Use theFkey to enter the SD Mode when you wantto perform statistical calculations using standard de-viation.

    SD ...................................................................F2

    In the SD Mode and REG Mode, the|key operates asthe Skey.

    Always start data input withAB1(Scl)=to clearstatistical memory.

    Input data using the key sequence shown below.

    S Input data is used to calculate values for n, x, x2, o,nand n-1, which you can recall using the key opera-tions noted nearby.

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    Data Input Precautions SSinputs the same data twice. You can also input multiple entries of the same data

    usingAG. To input the data 110 ten times, for example,press 110AG10 S.

    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 datayou have input. If you input multiple entries of the samedata usingAGto specify the data frequency (numberof data items) as described above, scrolling through datashows both the data item and a separate screen for the

    data frequency (Freq).

    To recall this type of value: Perform this key operation:

    x2 AU1x AU2

    n AU3o AX1n AX2

    n-1 AX3

    Example: To calculate n1, n, o, n, x, and x2 forthe following data : 55, 54, 51, 55, 53, 53, 54, 52

    In the SD Mode:

    AB1(Scl) =(Stat clear)

    55 S

    Each time you press Sto register your input,

    the number of data input up to that point is

    indicated on the display (nvalue).

    54 S51 S55 S

    53 SS54 S52 S

    Sample Standard Deviation (n1) = 1.407885953 AX3=

    Population Standard Deviation (n) = 1.316956719 AX2=

    Arithmetic Mean (o) = 53.375 AX1=Number of Data (n) = 8 AU3=

    Sum of Values (x) = 427 AU2=

    Sum of Squares of Values (x2) = 22805 AU1=

    1.n=

    SD

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    E-23

    You can then edit the displayed data, if you want. Inputthe new value and then press the=key to replace theold value with the new one. This also means that if youwant to perform some other operation (calculation, recallof statistical calculation results, etc.), you should alwayspress thetkey first to exit data display.

    Pressing the Skey instead of=after changing a valueon the display registers the value you input as a newdata item, and leaves the old value as it is.

    You can delete a data value displayed using[and]

    by pressingA U. Deleting a data value causes allvalues following it to be shifted up. Data values you register are normally stored in calcula-

    tor memory. The message Data Full appears and youwill not be able to input any more data if there is nomemory left for data storage. If this happens, press the=key to display the screen shown below.

    1 2Ed i t OFF ESC

    Press2to exit data input without registering the value

    you just input.

    Press1if you want to register the value you just input,without saving it in memory. If you do this, however, you

    will not be able to display or edit any of the data you

    have input. To delete data you have just input, pressAU. After inputting statistical data in the SD Mode or REG

    Mode, you will be unable to display or edit individual dataitems any longer after perform either the followingoperations.Changing to another modeChanging the regression type (Lin, Log, Exp, Pwr, Inv,Quad)

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    E-24

    Regression Calculations

    Use theFkey to enter the REG Mode when you want

    to perform statistical calculations using regression.REG ................................................................F3

    In the SD Mode and REG Mode, the|key operates asthe Skey.

    Entering the REG Mode displays screens like the ones

    shown below.

    Press the number key (1,2, or3) that correspondsto the type of regression you want to use.

    1(Lin)

    : Linear regression2 (Log): Logarithmic regression

    3 (Exp): Exponential regression

    r1 (Pwr): Power regression

    r2 (Inv): Inverse regression

    r3 (Quad): Quadratic regression

    Always start data input withAB1(Scl)=to clearstatistical memory. Input data using the key sequence shown below.

    P S The values produced by a regression calculation depend

    on the values input, and results can be recalled usingthe key operations shown in the table below.

    1 2 3L i n Log Exp

    1 2 3Pw r I nv Quad

    r e

    REG

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    The following table shows the key operations you shoulduse to recall results in the case of quadratic regression.

    To recall this type of value: Perform this key operation:

    x2 AU1

    x AU2

    n AU3y2 AUr1

    y AUr2

    xy AUr3

    o AX1

    xn AX2xn-1 AX3p AXr1yn AXr2yn-1 AXr3

    Regression coefficient A AXrr1

    Regression coefficient B AXrr2

    Regression calculation other than quadratic regression

    Correlation coefficient r AXrr3

    m AXrrr1n AXrrr2

    To recall this type of value: Perform this key operation:

    x3 AUrr1

    x2

    y AUrr2x4 AUrr3

    Regression coefficient C AXrr3

    m1 AXrrr1m2 AXrrr2n AXrrr3

    The values in the above tables can be used inside ofexpressions the same way you use variables.

    uLinear Regression The regression formula for linear regression is:

    y= A + Bx.

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    Example: Atmospheric Pressure vs. Temperature

    Perform linear regression to de-termine the regression formulaterms and correlation coefficientfor the data nearby. Next, usethe regression formula to esti-mate atmospheric pressure at5C and temperature at 1000hPa. Finally, calculate the coeffi-cient of determination (r2) and

    sample covariance

    .

    In the REG Mode:

    1(Lin)

    AB1(Scl)=(Stat clear)

    10 P1003 S

    Each time you press Sto register your input,

    the number of data input up to that point is

    indicated on the display (nvalue).

    15 P1005 S

    20 P1010 S25 P1011 S30 P1014 S

    Regression Coefficient A = 997.4 AXrr1=

    Regression Coefficient B = 0.56 AXrr2=

    Correlation Coefficient r= 0.982607368 AXrr3=

    Atmospheric Pressure at 5C = 994.6

    ED5FAXrrr2=

    Temperature at 1000 hPa = 4.642857143

    1000AXrrr1=

    Coefficient of Determination = 0.965517241

    AXrr3K=Sample Covariance = 35 EAUr3,

    AU3-AX1-AXr1F\

    EAU3,1F=

    Temperature AtmosphericPressure

    10C 1003 hPa

    15C 1005 hPa20C 1010 hPa

    25C 1011 hPa

    30C 1014 hPa

    1.n= REG

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    E-27

    uLogarithmic, Exponential, Power, and InverseRegression

    Use the same key operations as linear regression to re-

    call results for these types of regression. The following shows the regression formulas for eachtype of regression.

    uQuadratic Regression The regression formula for quadratic regression is:y= A + Bx+ Cx2.

    Example:Perform quadratic regression to de-termine the regression formula termsfor the data nearby. Next, use theregression formula to estimate thevalues forn(estimated value ofy) for

    xi= 16 and m(estimated value ofx)foryi= 20.

    In the REG Mode:

    r3(Quad)AB1(Scl)=(Stat clear)

    29 P1.6 S50 P23.5 S74 P38.0 S103 P46.4 S

    118 P48.0 S

    Regression Coefficient A = 35.59856934 AXrr1=

    Regression Coefficient B = 1.495939413 AXrr2=

    Regression Coefficient C = 6.71629667 103

    AXrr3=

    nwhenxiis 16 = 13.38291067 16AXrrr3=

    m1whenyiis 20 = 47.14556728 20AXrrr1=

    m2whenyiis 20 = 175.5872105 20AXrrr2=

    Logarithmic Regression yABInx

    Exponential Regression yAeBx(InyIn A + Bx)

    Power Regression y

    AxB(Iny

    In A + BInx)

    Inverse Regression yAB1/x

    xi yi

    29 1.6

    50 23.5

    74 38.0

    103 46.4118 48.0

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    Data Input Precautions

    SSinputs the same data twice. You can also input multiple entries of the same data

    usingA

    G

    . To input the data 20 and 30 five times,for example, press 20 P30AG5 S. The above results can be obtained in any order, and not

    necessarily that shown above. Precautions when editing data input for standard devia-

    tion also apply for regression calculations. Do not use variables A through F, X, or Y to store data

    when performing statistical calculations. These variablesare used for statistical calculation temporary memory,so any data you may have assigned to them may bereplaced by other values during statistical calculations.

    Entering the REG Mode and selecting a regression type(Lin, Log, Exp, Pwr, Inv, Quad) clear variables A throughF, X, and Y. Changing from one regression type to an-other inside the REG Mode also clears these variables.

    Technical Information

    kWhen you have a problem......

    If calculation results are not what you expect or if an erroroccurs, perform the following steps.

    1. PressAB2(Mode)=to initialize all modes andsettings.

    2. Check the formula you are working with to confirm it iscorrect.

    3. Enter the correct mode and try performing the calcula-tion again.

    If the above steps do not correct the problem, press the5key. The calculator performs a self-check operation anddeletes all data stored in memory if any abnormality isdetected. Make sure you always keep written copies of all

    important data.

    kError Messages

    The calculator is locked up while an error message is onthe display. Presstto clear the error, or press eor rto display the calculation and correct the problem. See

    Error Locator for details.

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    Math ERROR

    Causes Calculation result is outside the allowable calculation

    range. An attempt to perform a function calculation using a

    value that exceeds the allowable input range. An attempt to perform an illogical operation (division

    by zero, etc.)

    Action

    Check your input values and make sure they are allwithin the allowable ranges. Pay special attention tovalues in any memory areas you are using.

    Stack ERROR

    Cause The capacity of the numeric stack or operator stack is

    exceeded.

    Action Simplify the calculation. The numeric stack has 10 lev-

    els and the operator stack has 24 levels. Divide your calculation into two or more separate parts.

    Syntax ERROR Cause

    An attempt to perform an illegal mathematical opera-tion.

    Action

    Presse

    orr

    to display the calculation with the cur-sor located at the location of the error and make re-quired corrections.

    Arg ERROR

    Cause Improper use of an argument

    Action Press eor rto display the location of the cause of

    the error and make required corrections.

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    kOrder of Operations

    Calculations are performed in the following order of prec-edence.

    1Coordinate transformation: Pol (x,y), Rec (r, )2 Type A functions:

    With these functions, the value is entered and then thefunction key is pressed.

    x3,x2,x1,x!, m,m1,m2,n

    Angle unit conversions (DRG')3 Powers and roots:^(xy), x

    4 ab/c5 Abbreviated multiplication format in front of , e(natu-

    ral logarithm base), memory name, or variable name:2, 3e, 5A, A, etc.

    6 Type B functions:

    With these functions, the function key is pressed andthen the value is entered.

    ,3

    , log, In, ex, 10x, sin, cos, tan, sin1, cos1,tan1, sinh, cosh, tanh, sinh1, cosh1, tanh1, ()

    7 Abbreviated multiplication format in front of Type B func-tions: 2 3, Alog2, etc.

    8 Permutation and combination: nPr, nCr9, 0, Operations of the same precedence are performed from

    right to left. exIn 120 ex{In( 120)} Other operations are performed from left to right. Operations enclosed in parentheses are performed first.

    When a calculation contains an argument that isa negative number, the negative number must beenclosed within parentheses. The negative sign () istreated as a Type B function, so particular care isrequired when the calculation includes a high-priorityType A function, or power or root operations.

    Example: ( 2)4

    = 1624= 16

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    Example:

    1 2 3 4 5

    1 2 3 4 5 6 7

    Numeric Stack Command Stack1

    2

    3

    4

    5

    2

    3

    4

    5

    4

    1

    2

    3

    4

    5

    6

    7

    kStacks

    This calculator uses memory areas, called stacks, to tem-porarily store values (numeric stack) and commands (com-

    mand stack) according to their precedence during calcu-lations. The numeric stack has 10 levels and the commandstack has 24 levels. A stack error (Stack ERROR) occurswhenever you try to perform a calculation that is so com-plex that the capacity of a stack is exceeded.

    Calculations are performed in sequence according toOrder of Operations. Commands and values are de-leted from the stack as the calculation is performed.

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    kInput Ranges

    Internal digits:12Accuracy*:As a rule, accuracy is 1 at the 10th digit.

    Functions Input Range

    sinx DEG 0x4.4999999991010

    RAD 0x785398163.3

    GRA 0x4.9999999991010

    cosx DEG 0x4.5000000081010

    RAD 0x785398164.9

    GRA 0x5.0000000091010

    tanx DEG Same as sinx, except when x= (2n-1)90.

    RAD Same as sinx, except when x= (2n-1)/2.

    GRA Same as sinx, except when x= (2n-1)100.

    sin1x0x 1

    cos1x

    tan1x 0x9.9999999991099

    sinhx0x 230.2585092coshx

    sinh1x 0x 4.9999999991099

    cosh1x 1x4.9999999991099

    tanhx 0x 9.9999999991099

    tanh1

    x 0

    x

    9.999999999101

    logx/lnx 0x9.9999999991099

    10x

    9.9999999991099x99.99999999

    ex 9.9999999991099x230.2585092

    x 0x 1 10100

    x2 x 1 1050

    1/x x 1 10100 ;xG03x x 1 10100

    x! 0x69 (xis an integer)

    nPr0n 11010, 0rn(n,rare integers)1{n!/(nr)!} 110100

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    Functions Input Range

    nCr0n 11010, 0rn(n,rare integers)

    1[n!/{r!(nr)!}] 110100

    Pol(x, y) x, y9.9999999991049

    (x2+y2)9.9999999991099

    Rec(r,) 0r9.9999999991099

    : Same as sinx

    a, b, c 110100

    0b, cx110100

    Decimal Sexagesimal Conversions

    000x99999959

    x0: 110100ylogx100

    ^(xy) x0:y0x0:yn, (nis an integer)

    However: 110100ylogx100

    y0:xG0

    1101001/xlogy100x

    y y0:x0y0:x2n1, (nG0; nis an integer)

    However: 110100 1/xlogy100

    ab/c

    SDx11050

    y11050(REG)

    n110100

    * For a single calculation, calculation error is 1 at the10th digit. (In the case of exponential display, calcula-

    tion error is 1 at the last significant digit.) Errors arecumulative in the case of consecutive calculations, whichcan also cause them to become large. (This is also trueof internal consecutive calculations that are performedin the case of ^(xy),

    xy,x!,

    3 , nPr, nCr, etc.)

    In the vicinity of a functions singular point and point ofinflection, errors are cumulative and may become large.

    Total of integer, numerator, and denominatormust be 10 digits or less (including divisionmarks).

    12n+1

    1n

    xn,yn,o,p:nG0xn1,yn1, A, B, r:nG0, 1

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    Power Supply

    The type of battery you should use depends on the model

    number of your calculator.

    fx-85MS/fx-300MSThe TWO WAY POWER system actually has two powersupplies: a solar cell and a G13 Type (LR44) button battery.Normally, calculators equipped with a solar cell alone canoperate only when relatively bright light is present. The

    TWO WAY POWER system, however, lets you continueto use the calculator as long as there is enough light toread the display.

    Replacing the Battery

    Either of the following symptoms indicates battery power

    is low, and that the battery should be replaced. Display figures are dim and difficult to read in areas

    where there is little light available. Nothing appears on the display when you press the5key.

    uTo replace the battery1 Remove the six screws that

    hold the back cover in placeand then remove the backcover.

    2 Remove the old battery.

    3 Wipe off the sides of newbattery with a dry, soft cloth.Load it into the unit with thepositive k side facing up(so you can see it).

    4 Replace the back cover and

    secure it in place with the sixscrews.

    5 Press 5 to turn power on. Be sure not to skip thisstep.

    Screw Screw

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    fx-83MS/fx-270MS/fx-350MSThis calculator is powered by single G13 Type (LR44)button battery.

    Replacing the BatteryDim figures on the display of the calculator indicate thatbattery power is low. Continued use of the calculatorwhen the battery is low can result in improper operation.Replace the battery as soon as possible when displayfigures become dim.

    To replace the battery

    1 PressAito turn off power.

    2 Remove the screw that holdsthe battery cover in place andthen remove the battery cover.

    3 Remove the old battery.

    4 Wipe off the sides of newbattery with a dry, soft cloth.Load it into the unit with thepositive k side facing up (soyou can see it).

    5 Replace the battery cover andsecure it in place with the screw.

    6 Press5to turn power on.

    Screw

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    fx-82MSThis calculator is powered by a single AA-size battery.

    Replacing the Battery

    Dim figures on the display of the calculator indicate thatbattery power is low. Continued use of the calculatorwhen the battery is low can result in improper operation.Replace the battery as soon as possible when displayfigures become dim.

    To replace the battery1 PressAito turn power off.

    2 Remove the six screws thathold the back cover in placeand then remove the backcover.

    3 Remove the old battery.

    4 Load a new battery into theunit with its positive k andnegative l ends facingcorrectly.

    5 Replace the back cover andsecure it in place with the sixscrews.

    6 Press5to turn power on.

    Auto Power Off

    Calculator power automatically turns off if you do notperform any operation for about six minutes. When thishappens, press5 to turn power back on.

    Screw Screw

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    Specifications

    Power Supply:

    fx-82MS: Single AA-size battery (R6P (SUM-3))fx-83MS/fx-270MS/fx-350MS:

    Single G13 Type button battery (LR44)fx-85MS/fx-300MS:

    Solar cell and a single G13 Type buttonbattery (LR44)

    Battery Life:fx-82MS: Approximately 17,000 hours continuous

    display of flashing cursor.Approximately 2 years when left with powerturned off.

    fx-83MS/fx-270MS/fx-350MS:Approximately 9,000 hours continuous

    display of flashing cursor.Approximately 3 years when left with powerturned off.

    fx-85MS/fx-300MS:Approximately 3 years (1 hour use per day).

    Dimensions:

    fx-82MS: 18.6 (H) 85 (W) 156 (D) mm3/4(H) 33/8(W) 61/8(D)

    fx-83MS/fx-85MS/fx-270MS/fx-300MS/fx-350MS:12.2 (H) 85 (W) 155 (D) mm1/2(H) 33/8(W) 61/8(D)

    Weight:

    fx-82MS: 125 g (4.4 oz) including batteryfx-83MS/fx-85MS/fx-270MS/fx-300MS/fx-350MS:

    100 g (3.5 oz) including battery

    Power Consumption: 0.0002 W

    Operating Temperature:0C to 40C (32F to 104F)

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    CASIO COMPUTER CO., LTD.6-2, Hon-machi 1-chome

    Shibuya-ku, Tokyo 151-8543, Japan


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