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Casio Fx 82ms User Manual

by simpcipoltan1975 2021. 8. 11.

View and Download Casio Fx-82MS user manual online. Fx-82MS Calculator pdf manual download. Also for: Fx-85ms, Fx-82sx plus, Fx-220 plus, Fx-300ms, Fx-350ms.

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User’s Guide

CASIO Worldwide Education Website

http://edu.casio.com

CASIO EDUCATIONAL FORUM

http://edu.casio.com/forum/

RJA521989-001V01

SA0912-A

Printed in China

1.ImportantInformation

The displays and illustrations (such as key markings) shown in this User’s Guide are for illustrative purposes only, and may differ somewhat from the actual items they represent.

The contents of this manual are subject to change without notice.

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.

Be sure to keep all user documentation handy for future reference.

2.SampleOperations

Sample operations in this manual are indicated by a icon. Unless specifically stated, all sample operations assume that the calculator is in its initial default setup. Use the procedure under “3. Initializing the Calculator” to return the calculator to its initial default setup.

3.InitializingtheCalculator

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/85MS/300MS/350MS:p!,(CLR)3(All)=fx-82SXPLUS/220 PLUS: pr3(All)=

4.SafetyPrecautions

Battery

Keep batteries out of the reach of small children.

Use only the type of battery specified for this calculator in this manual.

5. HandlingPrecautions

Dim figures on the display of the calculator indicate that battery power is low. Continued use of the calculator when the battery is low can result in improper operation. Replace the battery as soon as possible when display figures becomes dim. Even if the calculator is operating normally, replace the battery at least once every two years (fx-82MS/82SXPLUS/220 PLUS), or three years(fx-85MS/300MS/350MS).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 discharges slightly during shipment and storage. Because of this, it may require replacement sooner than the normal expected battery life.

Do not use an oxyride battery* or any other type of nickel-basedprimary 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.

*Company and product names used in this manual may be registered trademarks or trademarks of their respective owners.

6. RemovingtheHardCase

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 nearby.

7. Turning Power On and Off

Press O to turn on the calculator.

Press 1A(OFF) to turn off the calculator.

Auto Power Off

Your calculator will turn off automatically if you do not perform any operation for about 10 minutes.

8. Adjusting Display Contrast

1. Press the , key a number of times until you reach the setup screen shown to the right.

2. Press c.

3. Use d and e to adjust contrast.

4. After the setting is the way you want, press A.

Important: If adjusting display contrast does not improve display readability, it probably means that battery power is low. Replace the battery.

9. Reading the Display

The display of the calculator shows expressions you input, calculation results, and various indicators.

Indicators

Input expression

Calculation result

10. Specifying the Calculation Mode

When you want to perform this type of

Perform this key

operation:

operation:

General calculations

N1(COMP)

Standard deviation

N2(SD)

Regression calculations (fx-82MS/85MS/

N3(REG)

300MS/350MS only)

Note: • The initial default calculation mode is the COMP Mode.

• Mode indicators appear in the upper part of the display. Be sure to check the current calculation mode (COMP, SD, REG) and angle unit setting (Deg, Rad, Gra) before beginning a calculation.

11. Configuringthe Calculator Setup

Pressing the , key more than once displays additional setup screens. Underlined ( ___ ) settings are initial defaults.

1Deg 2Rad 3Gra Specifies degrees,

radians or grads as the angle unit for value input and calculation result display.

Note: In this manual, the v symbol next to a sample operation indicates degrees.

1Fix 2Sci 3Norm 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)

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 × 10–1(Sci 5)

Norm: Selecting one of the two available settings (Norm 1, Norm 2) determines the range in which results will be displayed in nonexponential format. Outside the specified range, results are displayed using exponential format.

Norm 1: 10–2|x|, |x| 1010 Norm 2:10–9|x|, |x| 1010 Example: 1 ÷ 200 = 5 ×10–3(Norm 1); 0.005 (Norm 2)

e

b

d

1ab/c 2d/c Specifies either mixed fraction (ab/c) or improper fraction (d/c) for display of fractions in calculation results.

1Dot 2Comma Specifies whether to display a dot or a comma for the calculation result decimal point. A dot is always displayed during input.

k Initializing Calculator Settings

Perform the following procedure to initialize the calculator, which returns the calculation mode to COMP and returns all other settings, including setup menu settings, to their initial defaults.

fx-82MS/85MS/300MS/350MS:p1,(CLR)c(Mode)=fx-82SXPLUS/220 PLUS: prc(Mode)=

12. Inputting Expressions andValues

4 × sin30 × (30 + 10 × 3) = 120 v

4 *s30 *(30 +10 *3 )=

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 (+,-,*, /). A ! or a (fx82MS/85MS/300MS/350MS only) key operation does not take up a step, so inputting !W(3'), for example, takes up only one step.

• Whenever you input the 73rd step of any calculation, the cursor changes from “_” to “k” to let you know memory is running low.

k Calculation Priority Sequence

When the priority of two expressions is the same, the calculation is performed from left to right.

1st

Function with parentheses: Pol(x,y), Rec(r, ),

RanInt#(a, b)* (*fx-82SXPLUS/220 PLUS only)

Type A functions: With these functions, the value is

2nd

entered and then the function key is pressed. (x3,x2,x−1,

x!, ° ’ ”, m, m1, m2, n, °,r,g)

3rd

Powers and roots: ^(xy),x'

4th

Fractions

5th

Implied multiplication of π, e (natural logarithm base),

memory name, or variable name: 2π, 3e, 5A, πA, etc.

Type B functions: With these functions, the function key is

6th

pressed and then the value is entered. (', 3', log, ln,

ex, 10x, sin, cos, tan, sin−1, cos−1, tan−1, sinh, cosh, tanh,

sinh−1, cosh−1, tanh−1, (−))

7th

Implied multiplication of Type B functions: 2'3, Alog2, etc.

8th

Permutation (nPr), combination (nCr)

9th

Multiplication, division (×, ÷)

10th

Addition, subtraction (+, –)

k Correcting and Clearing an Expression

To delete a single character or function:

1234_ → ddD → 124

To insert a character or function into a calculation:

123_ → d!D(INS)e → 1243

• The cursor changes from “_” to “t”.

To clear all of the calculation you are inputting: Press A.

13. BasicCalculations

k Fraction Calculations

2

+

1

= 1

1

2 $3 +1

$2 = 1{1{6.

3

2

6

4 − 3

1

=

1

4 -3$1

$2 = 1{2.

2

2

Note: • Mixing fractions and decimal values in a calculation will cause the result to be displayed as a decimal value. • Fractions in calculation results are displayed after being reduced to their lowest terms.

To switch a calculation result between improper fraction and mixed fraction format: Press 1$(d/c).

To switch a calculation result between fraction and decimal format: Press $.

k Percent Calculations

150 × 20% = 30

150 *20 1=(%) 30.

Calculate what percentage of 880 is 660. (75%)

660 /880 1=(%) 75.

Increase 2500 by 15%. (2875)

2500 *15 1=(%)+ 2875.

Discount 3500 by 25%. (2625)

3500 *25 1=(%)- 2625.

If 300 grams are added to a test sample originally weighing 500 grams, what is the percentage increase in weight? (160%)

300+500!=(%) 160.

What is the percentage change when a value is increased from 40 to 46? (15%)

46-40!=(%)15.

k Degree, Minute, Second (Sexagesimal)

Calculations

The following is the input format for a sexagesimal value: {degrees} $ {minutes} $ {seconds} $.

Note: You must always input something for the degrees and minutes, even if they are zero.

2°20´30˝ + 39´30˝ = 3°00´00˝ 2 $20 $30 $+0 $39 $30 $= 3°0°0.

Convert 2°15´18˝ to its decimal equivalent.

2 $15 $18 $= 2°15°18.

(Converts sexagesimal to decimal.) $ 2.255 (Converts decimal to sexagesimal.) !$(←)2°15°18.

k Multi-Statements(fx-82MS/85MS/300MS/350MSonly)

You can use the colon character (:) to connect two or more expressions and execute them in sequence from left to right when you press =.

3 + 3 : 3 × 3 3 +3 Sr(:) 3 *3 = 6.Disp

= 9.

k Using Engineering Notation

A simple key operation transforms a displayed value to engineering notation.

Transform the value 1234 to engineering notation, shifting the decimal point to the right.

1234 = 1234. W1.234×103 W1234.×100

k Calculation History (Not included on thefx-82SXPLUS)

In the COMP Mode, the calculator remembers up to approximately 150 bytes of data for the newest calculation. You can scroll through calculation history contents using f and c.

1 + 1 = 2

1 +1 = 2.

2 + 2 = 4

2 +2 = 4.

3 + 3 = 6

3 +3 = 6.

(Scrolls back.)

f

4.

(Scrolls back again.)

f

2.

Note: Calculation history data is all cleared whenever you press O, when you change to a different calculation mode, or whenever you initialize modes and settings.

k Replay (Not included on thefx-82SXPLUS)

While a calculation result is on the display, you can press d or e to edit the expression you used for the previous calculation.

4 × 3 + 2.5 = 14.5

4 *3 +2.5

=

14.5

4 × 3 − 7.1 = 4.9

4.9

(Continuing) dYYYY-7.1

=

k Answer Memory (Ans)

The last calculation result obtained is stored in Ans (answer) memory. Ans memory contents are updated whenever a new calculation result is displayed.

To divide the result of 3 × 4 by 30

3 *4

=

12.

(Continuing) /30

=

123 + 456 = 579

123 +456 =

579.

789 – 579 = 210

(Continuing) 789 -G=

210.

kVariables (A, B, C, D, E, F, X, Y)

(fx-82MS/85MS/300MS/350MSonly)

Your calculator has eight preset variables named A, B, C, D, E, F, X, and Y.

To assign the result of 3 + 5 to variable A

3 +5 1t(STO)y(A)

8.

To multiply the contents of variable A by 10

(Continuing) Sy(A)*10 =

80.

To recall the contents of variable A

8.

(Continuing) ty(A)

To clear the contents of variable A

0.

0 1t(STO)y(A)

k Independent Memory (M)

You can add calculation results to or subtract results from independent memory. The “M” appears on the display when there is any value other than zero stored in independent memory.

To clear the contents of M

fx-82MS/85MS/300MS/350MS:

0.

0 1t(STO)l(M)

fx-82SXPLUS/220 PLUS:

0 1n(Min)

0.

To add the result of 10 × 5 to M

50.

(Continuing) 10 *5 l

To subtract the result of 10 + 5 from M

15.

(Continuing) 10 +5 1l(M–)

To recall the contents of M

fx-82MS/85MS/300MS/350MS:

35.

(Continuing) tl(M)

fx-82SXPLUS/220 PLUS:

(Continuing) n

35.

Note: Variable M is used for independent memory.

k Clearing the Contents of All Memories

Independent memory and variable contents are retained even if you press A, change the calculation mode, or turn off the calculator. Perform the following procedure when you want to clear the contents of all memories.

fx-82MS/85MS/300MS/350MS:p!,(CLR)1(Mcl)=fx-82SXPLUS/220 PLUS: pr1(Mcl)=

14. FunctionCalculations

π : π is displayed as 3.141592654, but π = 3.14159265358980 is used for internal calculations.

e (fx-82MS/85MS/300MS/350MSonly): e is displayed as 2.718281828, bute = 2.71828182845904 is used for internal calculations.

sin, cos, tan, sin−1, cos−1, tan−1 : Trigonometric functions. Specify the angle unit before performing calculations. See 1.

sinh, cosh, tanh, sinh−1, cosh−1, tanh−1 :Hyperbolic functions. The angle unit setting does not affect calculations. See 2.

°, r, g : These functions specify the angle unit. ° specifies degrees,r radians, andg grads. Input a function from the menu that appears when you perform the following key operation: 1G(DRG').

See 3.

10x,ex : Exponential functions. See4.

log: Logarithmic function. See5.

ln: Natural logarithm to basee. See6.

x2, x3, ^(xy), ', 3', x', x−1 : Powers, power roots, and reciprocals. See7.

Pol, Rec : Pol converts rectangular coordinates to polar coordinates, while Rec converts polar coordinates to rectangular coordinates. See8.

Pol(x,y) = (r, )

Rec(r, ) = (x,y)

Specify the angle unit

before performing

calculations.

Calculation result θ is

displayed in the range

of −180° θ 180°.

Rectangular

Polar

Coordinates (Rec)

Coordinates (Pol)

x! : Factorial function. See9.

Ran# : Generates a3-digitpseudo random number that is less than 1. See10.

RanInt# (fx-82SXPLUS/220 PLUS only): For input of the function of the form RanInt#(a,b), which generates a random integer within the range ofa tob. See11.

nPr, nCr: Permutation (nPr) and combination (nCr) functions. See

12.

Rnd : The argument of this function is made a decimal value and then rounded in accordance with the current number of display digits setting (Norm, Fix, or Sci). With Norm 1 or Norm 2, the argument is rounded off to 10 digits. See13.

Note: Using functions can slow down a calculation, which may delay display of the result. To interrupt an ongoing calculation before its result appears, press A.

k Examples

1

sin 30°= 0.5

v

s30 =

0.5

sin−10.5 = 30°

v

1s(sin−1) 0.5 =

30.

2

sinh 1 = 1.175201194

ws(sinh) 1

= 1.175201194

cosh–11 = 0

w1c(cosh−1) 1

=

0.

3

π /2 radians = 90°, 50 grads = 45° v

(1E(π)/2 )1G(DRG')c(R)=

90.

50 1G(DRG')d(G)=

45.

4 To calculatee5 × 2 to three significant digits (Sci 3)

N2(Sci)3 1i(ex) 5 *2 =2.97×102

5 log 1000 = 3

l1000 = 3.

6 To calculate ln 90 (= loge 90) to three significant digits (Sci 3)

N 2(Sci)3

i90

= 4.50×100

7 1.2 × 103 = 1200

1.2 *10 M3

=

1200.

(52)3 = 15625

(5 x)W=

15625.

5040.
x= 1. y= 1.
r= 2.= 45.

5 32 = 2

51M(x') 32 =2.

To calculate

'2 × 3

(= 3' = 4.242640687...) to three

2

decimal places (Fix 3)

N 1(Fix)3

12 *3 =

4.243

8 To convert rectangular coordinates ('2 , '2 ) to polar

coordinates v

fx-82MS/85MS/300MS/350MS:

r92 ,92 )= r=2.

~t(F)

= 45.

Press ~c(E) to display the value of r, or ~t(F) to display the value of .

fx-82SXPLUS/220 PLUS:

r92 ((,)92 )= !q(y, )=

Press !r(x,r)= to display the value ofr, or !q(y, )=to display the value of .

To convert polar coordinates ('2 , 45°) to rectangular coordinates v

fx-82MS/85MS/300MS/350MS:

!r(Rec( )92 ,45 = ~t(F)

Press ~c(E) to display the value of x, or ~t(F) to display the value ofy.

fx-82SXPLUS/220 PLUS: q92 ((,) 45 = !q(y, )=

Press !r(x,r)= to display the value ofx, or !q(y, )=to display the value ofy.

9

(5 + 3) ! = 40320 (5 +3 )1E(x!)=

40320.

10

To obtain two random three-digitintegers

1000 1.(Ran#)=

459.

=

48.

(Actual results will differ.)

11 To generate random integers in the range of 1 to 6(fx-82SX

PLUS/220 PLUS only)

12(RanInt) 1 1((,) 6 )=

2.

=

6.

(Actual results will differ.)

12 To determine the number of permutations and combinations possible when selecting four people from a group of 10

Permutations: 10 1{(nPr) 4 =

Combinations: 10 {4 =

13 To perform the following calculations when Fix 3 is selected

for the number of display digits: 10 ÷ 3 × 3 and Rnd(10 ÷ 3)

× 3

N 1(Fix)3

10 /3 *3

=

10.000

10 /3 =10(Rnd)*3

=

9.999

15. Statistical Calculations (SD,REG*)

*fx-82MS/85MS/300MS/350MSonly

To select this type of statistical

Perform this key

calculation: (Regression formula

operation:

shown in parentheses)

Single-variable(X)

,2(SD)

Paired-variable(X, Y), linear

,3(REG)1(Lin)

regression

( y = A + Bx)

Paired-variable(X, Y), logarithmic

,3(REG)2(Log)

regression

( y = A + Blnx)

Paired-variable(X, Y),e

,3(REG)3(Exp)

exponential regression ( y = AeBx)

Paired-variable(X, Y), power

,3(REG)e1(Pwr)

regression

( y = AxB)

Paired-variable(X, Y), inverse

,3(REG)e2(Inv)

regression

( y = A + B/x)

Paired-variable(X, Y), quadratic

,3(REG)e3(Quad)

regression

( y = A + Bx + Cx2)

k Inputting Data

In the SD Mode and REG Mode, the l key operates as the 7 key.

Always start data input with !,(CLR)b(Scl)= (rb(Scl)=on the fx-82SXPLUS/220 PLUS) to clear statistical memory.

Input data using the key sequence shown below. SD Mode: <x-data>7

REG Mode: <x-data> ,<y-data>7

77 inputs the same data twice.

You can also input multiple entries of the same data using !,(;) (!)(;) on the fx-82SXPLUS/220 PLUS).

k Data Input Precautions

While inputting data or after inputting data is complete, you can use the f and c keys to scroll through data you have input. If you input multiple entries of the same data using !,(;) (!)(;) on the fx-82SXPLUS/220 PLUS) to specify the data frequency (number of data items) as described above, scrolling through data shows both the data item and a separate screen for the data frequency (Freq).

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, you should always press the A key first to exit data display.

Pressing the 7 key instead of = after changing a value on the display registers the value you input as a new data item, and leaves the old value as it is.

You can delete a data value displayed using fand cby pressing !l(CL). Deleting a data value causes all values following it to be shifted up.

The message “Data Full” appears and you will not be able to input any more data if there is no memory left for data storage. If this happens, press the =key to display the screen shown below.

Press cto exit data input without registering

the value you just input. Press b if you want to register the value

you just input. If you do this, however, you will not be able to display or edit any of the data you have input.

After inputting statistical data in the SD Mode or REG Mode, you will be unable to display or edit individual data items any longer after perform either the following operations: changing to another mode; changing the regression type.

Entering the REG Mode and selecting a regression type (Lin, Log, Exp, Pwr, Inv, Quad) clear variables A through F, X, and Y.

Do not use variables A through F, X, or Y to store data when performing statistical calculations.

k Obtaining Statistical Values from Input Data

Supported statistical variables and the keys you should press to recall them are shown below.

fx-82SXPLUS/220 PLUS:

Sum: Σx2, Σx, Number of Items:n, Mean:o, Population Standard Deviation:σx, Sample Standard Deviation:sx

!eto j

fx-82MS/85MS/300MS/350MS:

For single-variablestatistical calculations, the variables marked with an asterisk (*) are available.

Sum: Σx2*, Σx*, Σy2, Σy, Σxy, Σx3, Σx2y, Σx4,Number of Items: n*

Σx2, Σx,n ...........

!b(S-SUM)bto d

Σy2, Σy, Σxy ........

!b(S-SUM)ebto d

Σx3, Σx2y, Σx4 .....

!b(S-SUM)eebto d(Quadratic

Regression only)

Mean: o*, p, Population Standard Deviation:σx*, σy, Sample Standard Deviation:sx*, sy

o, σx, sx ..............!c(S-VAR)bto d

p, σy, sy ...............!c(S-VAR)ebto d

Regression Coefficients: A, B, Correlation Coefficient:r Regression Coefficients for Quadratic Regression:A, B, C

!c(S-VAR)eebto d

Estimated Values: m, n

Estimated Values for Quadratic Regression: m1, m2, n

!c(S-VAR)eeebto c (or d)

m,m1,m2 andn are not variables. They are commands of the type that take an argument immediately before them. See “Calculating Estimated Values” for more information.

1

To calculate the mean (o) and population standard

deviation (σx) for the following data: 55, 54, 51, 55, 53, 53,

54, 52

,c(SD)

55 754 751 755 753 7754 752 7

fx-82SXPLUS/220 PLUS: !h(o)=

53.375

!i(σx)= 1.316956719

fx-82MS/85MS/300MS/350MS:

!c(S-VAR)b(o)

53.375

!c(S-VAR)c(σx)1.316956719

2

fx-82MS/85MS/300MS/350MS:To calculate the linear

regression and logarithmic regression correlation

coefficients (r) for the followingpaired-variabledata

and determine the regression formula for the strongest

correlation: (x,y) = (20, 3150), (110, 7310), (200, 8800),

(290, 9310). Specify Fix 3 (three decimal places) for results.

,3(REG)1(Lin) , 1(Fix)3

20,3150 7110 ,7310 7200 ,8800 7290 ,

9310 7

!2(S-VAR)ee3(r)=

0.923

,3(REG)2(Log)

20 ,3150 7110 ,7310 7200 ,8800 7290 ,

9310 7

!2(S-VAR)ee3(r)=

0.998

!2(S-VAR)ee1(A)=−3857.984

!2(S-VAR)ee2(B)=

2357.532

Logarithmic Regression Formula: y =–3857.984+ 2357.532lnx

k Calculating Estimated Values

Based on the regression formula obtained by paired-variablestatistical calculation, the estimated value ofy can be calculated for a givenx-value.The correspondingx-value(two values,x1 andx2, in the case of quadratic regression) also can be calculated for a value ofy in the regression formula.

3 To determine the estimate value fory whenx = 160 in the regression formula produced by logarithmic regression of the data in2. Specify Fix 3 for the result. (Perform the

following operation after completing the operations in 2.) 16012(S-VAR)eee2(n)=8106.898

Important: Regression coefficient, correlation coefficient, and estimated value calculations can take considerable time when there are a large number of data items.

16. Calculation Ranges, Numberof

Digits,andPrecision

k Calculation Range and Precision

Calculation Range: ±1 ×10–99to 9.999999999 × 1099 or 0

Number of Digits for Internal Calculation: 15 digits

Precision: In general, ±1 at the 10th digit for a single calculation. Precision for exponential display is ±1 at the least significant digit. Errors are cumulative in the case of consecutive calculations.

k Function Calculation Input Ranges and Precision

Functions

Input Range

sinx

DEG

0 |x| 9 × 109

RAD

0 |x| 157079632.7

cosx

GRA

0 |x| 1 × 1010

DEG

Same as sinx, except when |x| =(2n–1)× 90.

tanx

RAD

Same as sinx, except when |x| =(2n–1)× π/2.

Same as sinx, except when |x| =(2n–1)×

GRA

100.

sin–1x

0

|x| 1

cos–1x

tan–1x

0

|x| 9.999999999 × 1099

sinhx

0

|x| 230.2585092

coshx

sinh–1x

0

|x| 4.999999999 × 1099

cosh–1x

1

x 4.999999999 × 1099

tanhx

0

|x| 9.999999999 × 1099

tanh–1x

0

|x| 9.999999999 ×10–1

logx/lnx

0

x 9.999999999 × 1099

10x

–9.999999999× 1099 x 99.99999999

ex

–9.999999999× 1099 x 230.2585092

'x

0

x 1 × 10100

x2

|x| 1 × 1050

x–1

|x| 1 × 10100;x G 0

3'x

|x| 1 × 10100

x!

0

x 69 (x is an integer)

nPr

0

n 1 × 1010, 0r n (n,r are integers)

1

{n!/(nr)!}1 × 10100

nCr

0

n 1 × 1010, 0r n (n,r are integers)

1

n!/r! 1 × 10100 or 1n!/(nr)!1 × 10100

Pol(x,y)

|x|, |y| 9.999999999 × 1099

x2+ y2

9.999999999 × 1099

Rec(r, )

0

r 9.999999999 × 1099

: Same as sinx

°’ ”

|a|,b,c 1 × 10100; 0b,c

The display seconds value is subject to an error of

±1 at the second decimal place.

|x| 1 × 10100

Decimal ↔ Sexagesimal Conversions

0°0´0˝ |x| 9999999°59´

x 0:–1× 10100 ylogx 100

xy

x = 0:y 0

1

x

0: y =n,2n+1 (n is an integer)

However: –1× 10100 ylog |x| 100

y 0:x G 0,–1× 10100 1/x logy 100

x

y = 0:x 0

'y

y 0:x = 2n+1,1 (n G 0;n is an integer)

n

However: –1× 10100 1/x log |y| 100

ab/c

Total of integer, numerator, and denominator must

be 10 digits or less (including division marks).

RanInt#(a,b)

a b;|a|,|b| 1 × 1010;b a 1 × 1010 (a,b are

integers)

Precision is basically the same as that described under “Calculation Range and Precision”, above.

Calculations that use any of the functions or settings shown below require consecutive internal calculations to be performed, which can

cause accumulation of error that occurs with each calculation.

xy,x'y,3',x!,nPr,nCr; °,r,g (angle unit: radians); σx, sx, regression coefficient.

Error is cumulative and tends to be large in the vicinity of a function’s singular point and inflection point.

Casio Fx-82ms Manual

Accumulation of errors tends to occur during statistical calculations involving data in which there is a large number of decimal places and there is little difference between data items. Input of statistical data is limited to six decimal places.

17. Error Messages

The calculator will display an error message whenever an error occurs for any reason during a calculation.

Press d or e to return to the calculation screen. The cursor will be positioned at the location where the error occurred, ready for input. Make the necessary corrections to the calculation and execute it again. (Not included on the fx-82SXPLUS)

Press A to return to the calculation screen. Note that this also clears the calculation that contained the error.

Math ERROR

Cause: • The intermediate or final result of the calculation you are performing exceeds the allowable calculation range. • Your input exceeds the allowable input range. • The calculation you are performing contains an illegal mathematical operation (such as division by zero).

Action: • Check the input values and reduce the number of digits.

• When using independent memory or a variable as the argument of a function, make sure that the memory or variable value is within the allowable range for the function.

Stack ERROR

Cause: The calculation you are performing has caused the capacity of the numeric stack or the command stack to be exceeded.Action: • Simplify the calculation expression. • Try splitting the calculation into two or more parts.

Syntax ERROR

Cause: There is a problem with the format of the calculation you are performing.

Action: Make necessary corrections.

Arg ERROR

Cause: Improper use of an argument.

Action: Make necessary corrections.

18. BeforeAssuming Malfunctionof the

Calculator...

Perform the following steps whenever an error occurs during a calculation or when calculation results are not what you expected. Note that you should make separate copies of important data before performing these steps.

1. Check the calculation expression to make sure that it does not contain any errors.

Fx 82ms Casio

2. Make sure that you are using the correct mode for the type of calculation you are trying to perform.

3. If the above steps do not correct your problem, press the O key.

4. Initialize all modes and settings. See “Initializing Calculator Settings”.

19. Replacing theBattery

Important: Removing the battery will cause all of the calculator’s memory contents to be deleted.

1. Press 1A(OFF) to turn off the calculator.

To ensure that you do not accidentally turn on power while replacing the battery, slide the hard case onto the front of the

calculator (fx-350MS).

2. Remove the cover as shown in the illustration and replace the battery, taking care that its plus (+) and minus (–)ends are facing correctly.

Screw

Screw

Screw

Screw

Screw

fx-82MS/82SXPLUS/

fx-350MS

fx-85MS/300MS

220 PLUS

3. Replace the cover.

4. Initialize the calculator. See “3. Initializing the Calculator”.

• Do not skip the above step!

20. Specifications

Power Requirements:

fx-82MS/82SXPLUS/220 PLUS:AA-sizebattery R6P(SUM-3)× 1fx-350MS:Button battery LR44 (GPA76) × 1

fx-85MS/300MS:Built-insolar cell; button battery LR44 (GPA76)

× 1

Approximate Battery Life:

fx-82MS/82SXPLUS/220 PLUS: 17,000 hours (continuous display of flashing cursor)

fx-350MS:9,000 hours (continuous operation)

fx-85MS/300MS:3 years (based on one hour of operation per day)

Power Consumption:

0.0001 W (fx-82MS/82SXPLUS/220 PLUS/350MS)

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

Dimensions (H × W × D)/Approximate Weight (including the battery)

fx-82MS

18.6 × 85 × 156 mm

115 g

3/4 × 33/8 × 61/8

(4.1 oz)

fx-82SXPLUS

19.5 × 78 × 155 mm

115 g

fx-220PLUS

3/4 × 31/8 × 61/8

(4.1 oz)

fx-85MS

12.2 × 85 × 155 mm

100 g

fx-300MS

1/2 × 33/8 × 61/8

(3.5 oz)

fx-350MS

Manufacturer:

CASIO COMPUTER CO., LTD.

6-2,Hon-machi1-chome

Shibuya-ku,Tokyo151-8543,Japan

Responsible within the European Union: CASIO EUROPE GmbH

Casio-Platz1

22848 Norderstedt, Germany

This mark applies in EU countries only.

RJA521989-001V01

Size:Download

E

fx-82MSfx-82SXPLUS

fx-85MS

fx-220PLUS

fx-300MSfx-350MS

User’s Guide

CASIO Worldwide Education Website

http://edu.casio.com

CASIO EDUCATIONAL FORUM

http://edu.casio.com/forum/

RJA521989-001V01

SA0912-A

Printed in China

1.ImportantInformation

The displays and illustrations (such as key markings) shown in this User’s Guide are for illustrative purposes only, and may differ somewhat from the actual items they represent.

The contents of this manual are subject to change without notice.

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.

Be sure to keep all user documentation handy for future reference.

2.SampleOperations

Sample operations in this manual are indicated by a icon. Unless specifically stated, all sample operations assume that the calculator is in its initial default setup. Use the procedure under “3. Initializing the Calculator” to return the calculator to its initial default setup.

3.InitializingtheCalculator

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/85MS/300MS/350MS:p!,(CLR)3(All)=fx-82SXPLUS/220 PLUS: pr3(All)=

4.SafetyPrecautions

Battery

Keep batteries out of the reach of small children.

Use only the type of battery specified for this calculator in this manual.

5. HandlingPrecautions

Dim figures on the display of the calculator indicate that battery power is low. Continued use of the calculator when the battery is low can result in improper operation. Replace the battery as soon as possible when display figures becomes dim. Even if the calculator is operating normally, replace the battery at least once every two years (fx-82MS/82SXPLUS/220 PLUS), or three years(fx-85MS/300MS/350MS).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 discharges slightly during shipment and storage. Because of this, it may require replacement sooner than the normal expected battery life.

Do not use an oxyride battery* or any other type of nickel-basedprimary 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.

*Company and product names used in this manual may be registered trademarks or trademarks of their respective owners.

6. RemovingtheHardCase

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 nearby.

7. Turning Power On and Off

Press O to turn on the calculator.

Press 1A(OFF) to turn off the calculator.

Auto Power Off

Your calculator will turn off automatically if you do not perform any operation for about 10 minutes.

8. Adjusting Display Contrast

1. Press the , key a number of times until you reach the setup screen shown to the right.

2. Press c.

3. Use d and e to adjust contrast.

4. After the setting is the way you want, press A.

Important: If adjusting display contrast does not improve display readability, it probably means that battery power is low. Replace the battery.

9. Reading the Display

The display of the calculator shows expressions you input, calculation results, and various indicators.

Indicators

Input expression

Calculation result

10. Specifying the Calculation Mode

When you want to perform this type of

Perform this key

operation:

operation:

General calculations

N1(COMP)

Standard deviation

N2(SD)

Regression calculations (fx-82MS/85MS/

N3(REG)

300MS/350MS only)

Note: • The initial default calculation mode is the COMP Mode.

• Mode indicators appear in the upper part of the display. Be sure to check the current calculation mode (COMP, SD, REG) and angle unit setting (Deg, Rad, Gra) before beginning a calculation.

11. Configuringthe Calculator Setup

Pressing the , key more than once displays additional setup screens. Underlined ( ___ ) settings are initial defaults.

1Deg 2Rad 3Gra Specifies degrees,

radians or grads as the angle unit for value input and calculation result display.

Note: In this manual, the v symbol next to a sample operation indicates degrees.

1Fix 2Sci 3Norm 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)

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 × 10–1(Sci 5)

Norm: Selecting one of the two available settings (Norm 1, Norm 2) determines the range in which results will be displayed in nonexponential format. Outside the specified range, results are displayed using exponential format.

Norm 1: 10–2|x|, |x| 1010 Norm 2:10–9|x|, |x| 1010 Example: 1 ÷ 200 = 5 ×10–3(Norm 1); 0.005 (Norm 2)

e

b

d

1ab/c 2d/c Specifies either mixed fraction (ab/c) or improper fraction (d/c) for display of fractions in calculation results.

1Dot 2Comma Specifies whether to display a dot or a comma for the calculation result decimal point. A dot is always displayed during input.

k Initializing Calculator Settings

Perform the following procedure to initialize the calculator, which returns the calculation mode to COMP and returns all other settings, including setup menu settings, to their initial defaults.

fx-82MS/85MS/300MS/350MS:p1,(CLR)c(Mode)=fx-82SXPLUS/220 PLUS: prc(Mode)=

12. Inputting Expressions andValues

4 × sin30 × (30 + 10 × 3) = 120 v

4 *s30 *(30 +10 *3 )=

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 (+,-,*, /). A ! or a (fx82MS/85MS/300MS/350MS only) key operation does not take up a step, so inputting !W(3'), for example, takes up only one step.

CasioCasio fx 82ms manual pdf

• Whenever you input the 73rd step of any calculation, the cursor changes from “_” to “k” to let you know memory is running low.

k Calculation Priority Sequence

When the priority of two expressions is the same, the calculation is performed from left to right.

1st

Function with parentheses: Pol(x,y), Rec(r, ),

RanInt#(a, b)* (*fx-82SXPLUS/220 PLUS only)

Type A functions: With these functions, the value is

2nd

entered and then the function key is pressed. (x3,x2,x−1,

x!, ° ’ ”, m, m1, m2, n, °,r,g)

3rd

Powers and roots: ^(xy),x'

4th

Fractions

5th

Implied multiplication of π, e (natural logarithm base),

memory name, or variable name: 2π, 3e, 5A, πA, etc.

Type B functions: With these functions, the function key is

6th

pressed and then the value is entered. (', 3', log, ln,

ex, 10x, sin, cos, tan, sin−1, cos−1, tan−1, sinh, cosh, tanh,

sinh−1, cosh−1, tanh−1, (−))

7th

Implied multiplication of Type B functions: 2'3, Alog2, etc.

8th

Permutation (nPr), combination (nCr)

9th

Multiplication, division (×, ÷)

10th

Addition, subtraction (+, –)

k Correcting and Clearing an Expression

To delete a single character or function:

1234_ → ddD → 124

To insert a character or function into a calculation:

123_ → d!D(INS)e → 1243

• The cursor changes from “_” to “t”.

To clear all of the calculation you are inputting: Press A.

13. BasicCalculations

k Fraction Calculations

2

+

1

= 1

1

2 $3 +1

$2 = 1{1{6.

3

2

6

4 − 3

1

=

1

4 -3$1

$2 = 1{2.

2

2

Note: • Mixing fractions and decimal values in a calculation will cause the result to be displayed as a decimal value. • Fractions in calculation results are displayed after being reduced to their lowest terms.

To switch a calculation result between improper fraction and mixed fraction format: Press 1$(d/c).

To switch a calculation result between fraction and decimal format: Press $.

k Percent Calculations

150 × 20% = 30

150 *20 1=(%) 30.

Calculate what percentage of 880 is 660. (75%)

660 /880 1=(%) 75.

Increase 2500 by 15%. (2875)

2500 *15 1=(%)+ 2875.

Discount 3500 by 25%. (2625)

3500 *25 1=(%)- 2625.

If 300 grams are added to a test sample originally weighing 500 grams, what is the percentage increase in weight? (160%)

300+500!=(%) 160.

What is the percentage change when a value is increased from 40 to 46? (15%)

46-40!=(%)15.

k Degree, Minute, Second (Sexagesimal)

Calculations

The following is the input format for a sexagesimal value: {degrees} $ {minutes} $ {seconds} $.

Note: You must always input something for the degrees and minutes, even if they are zero.

2°20´30˝ + 39´30˝ = 3°00´00˝ 2 $20 $30 $+0 $39 $30 $= 3°0°0.

Convert 2°15´18˝ to its decimal equivalent.

2 $15 $18 $= 2°15°18.

(Converts sexagesimal to decimal.) $ 2.255 (Converts decimal to sexagesimal.) !$(←)2°15°18.

k Multi-Statements(fx-82MS/85MS/300MS/350MSonly)

You can use the colon character (:) to connect two or more expressions and execute them in sequence from left to right when you press =.

3 + 3 : 3 × 3 3 +3 Sr(:) 3 *3 = 6.Disp

= 9.

k Using Engineering Notation

A simple key operation transforms a displayed value to engineering notation.

Transform the value 1234 to engineering notation, shifting the decimal point to the right.

1234 = 1234. W1.234×103 W1234.×100

k Calculation History (Not included on thefx-82SXPLUS)

In the COMP Mode, the calculator remembers up to approximately 150 bytes of data for the newest calculation. You can scroll through calculation history contents using f and c.

1 + 1 = 2

1 +1 = 2.

2 + 2 = 4

2 +2 = 4.

3 + 3 = 6

3 +3 = 6.

(Scrolls back.)

f

4.

(Scrolls back again.)

f

2.

Note: Calculation history data is all cleared whenever you press O, when you change to a different calculation mode, or whenever you initialize modes and settings.

k Replay (Not included on thefx-82SXPLUS)

While a calculation result is on the display, you can press d or e to edit the expression you used for the previous calculation.

4 × 3 + 2.5 = 14.5

4 *3 +2.5

=

14.5

4 × 3 − 7.1 = 4.9

4.9

(Continuing) dYYYY-7.1

=

k Answer Memory (Ans)

The last calculation result obtained is stored in Ans (answer) memory. Ans memory contents are updated whenever a new calculation result is displayed.

To divide the result of 3 × 4 by 30

3 *4

=

12.

(Continuing) /30

=

123 + 456 = 579

123 +456 =

579.

789 – 579 = 210

(Continuing) 789 -G=

210.

kVariables (A, B, C, D, E, F, X, Y)

(fx-82MS/85MS/300MS/350MSonly)

Your calculator has eight preset variables named A, B, C, D, E, F, X, and Y.

To assign the result of 3 + 5 to variable A

3 +5 1t(STO)y(A)

8.

To multiply the contents of variable A by 10

(Continuing) Sy(A)*10 =

80.

To recall the contents of variable A

8.

(Continuing) ty(A)

To clear the contents of variable A

0.

0 1t(STO)y(A)

k Independent Memory (M)

You can add calculation results to or subtract results from independent memory. The “M” appears on the display when there is any value other than zero stored in independent memory.

To clear the contents of M

fx-82MS/85MS/300MS/350MS:

0.

0 1t(STO)l(M)

fx-82SXPLUS/220 PLUS:

0 1n(Min)

0.

To add the result of 10 × 5 to M

50.

(Continuing) 10 *5 l

To subtract the result of 10 + 5 from M

15.

(Continuing) 10 +5 1l(M–)

To recall the contents of M

fx-82MS/85MS/300MS/350MS:

35.

(Continuing) tl(M)

fx-82SXPLUS/220 PLUS:

(Continuing) n

35.

Note: Variable M is used for independent memory.

k Clearing the Contents of All Memories

Independent memory and variable contents are retained even if you press A, change the calculation mode, or turn off the calculator. Perform the following procedure when you want to clear the contents of all memories.

fx-82MS/85MS/300MS/350MS:p!,(CLR)1(Mcl)=fx-82SXPLUS/220 PLUS: pr1(Mcl)=

14. FunctionCalculations

π : π is displayed as 3.141592654, but π = 3.14159265358980 is used for internal calculations.

e (fx-82MS/85MS/300MS/350MSonly): e is displayed as 2.718281828, bute = 2.71828182845904 is used for internal calculations.

sin, cos, tan, sin−1, cos−1, tan−1 : Trigonometric functions. Specify the angle unit before performing calculations. See 1.

sinh, cosh, tanh, sinh−1, cosh−1, tanh−1 :Hyperbolic functions. The angle unit setting does not affect calculations. See 2.

°, r, g : These functions specify the angle unit. ° specifies degrees,r radians, andg grads. Input a function from the menu that appears when you perform the following key operation: 1G(DRG').

See 3.

10x,ex : Exponential functions. See4.

log: Logarithmic function. See5.

ln: Natural logarithm to basee. See6.

x2, x3, ^(xy), ', 3', x', x−1 : Powers, power roots, and reciprocals. See7.

Pol, Rec : Pol converts rectangular coordinates to polar coordinates, while Rec converts polar coordinates to rectangular coordinates. See8.

Pol(x,y) = (r, )

Rec(r, ) = (x,y)

Specify the angle unit

before performing

calculations.

Calculation result θ is

displayed in the range

of −180° θ 180°.

Rectangular

Polar

Coordinates (Rec)

Coordinates (Pol)

x! : Factorial function. See9.

Ran# : Generates a3-digitpseudo random number that is less than 1. See10.

RanInt# (fx-82SXPLUS/220 PLUS only): For input of the function of the form RanInt#(a,b), which generates a random integer within the range ofa tob. See11.

nPr, nCr: Permutation (nPr) and combination (nCr) functions. See

12.

Rnd : The argument of this function is made a decimal value and then rounded in accordance with the current number of display digits setting (Norm, Fix, or Sci). With Norm 1 or Norm 2, the argument is rounded off to 10 digits. See13.

Note: Using functions can slow down a calculation, which may delay display of the result. To interrupt an ongoing calculation before its result appears, press A.

k Examples

1

sin 30°= 0.5

v

s30 =

0.5

sin−10.5 = 30°

v

1s(sin−1) 0.5 =

30.

2

sinh 1 = 1.175201194

ws(sinh) 1

= 1.175201194

cosh–11 = 0

w1c(cosh−1) 1

=

0.

3

π /2 radians = 90°, 50 grads = 45° v

(1E(π)/2 )1G(DRG')c(R)=

90.

50 1G(DRG')d(G)=

45.

4 To calculatee5 × 2 to three significant digits (Sci 3)

N2(Sci)3 1i(ex) 5 *2 =2.97×102

5 log 1000 = 3

l1000 = 3.

6 To calculate ln 90 (= loge 90) to three significant digits (Sci 3)

N 2(Sci)3

i90

= 4.50×100

7 1.2 × 103 = 1200

1.2 *10 M3

=

1200.

(52)3 = 15625

(5 x)W=

15625.

5040.
x= 1. y= 1.
r= 2.= 45.

5 32 = 2

51M(x') 32 =2.

To calculate

'2 × 3

(= 3' = 4.242640687...) to three

2

decimal places (Fix 3)

N 1(Fix)3

12 *3 =

4.243

8 To convert rectangular coordinates ('2 , '2 ) to polar

coordinates v

fx-82MS/85MS/300MS/350MS:

r92 ,92 )= r=2.

~t(F)

= 45.

Press ~c(E) to display the value of r, or ~t(F) to display the value of .

fx-82SXPLUS/220 PLUS:

r92 ((,)92 )= !q(y, )=

Press !r(x,r)= to display the value ofr, or !q(y, )=to display the value of .

To convert polar coordinates ('2 , 45°) to rectangular coordinates v

fx-82MS/85MS/300MS/350MS:

!r(Rec( )92 ,45 = ~t(F)

Press ~c(E) to display the value of x, or ~t(F) to display the value ofy.

fx-82SXPLUS/220 PLUS: q92 ((,) 45 = !q(y, )=

Press !r(x,r)= to display the value ofx, or !q(y, )=to display the value ofy.

9

(5 + 3) ! = 40320 (5 +3 )1E(x!)=

40320.

10

To obtain two random three-digitintegers

1000 1.(Ran#)=

459.

=

48.

(Actual results will differ.)

11 To generate random integers in the range of 1 to 6(fx-82SX

PLUS/220 PLUS only)

12(RanInt) 1 1((,) 6 )=

2.

=

6.

(Actual results will differ.)

12 To determine the number of permutations and combinations possible when selecting four people from a group of 10

Permutations: 10 1{(nPr) 4 =

Combinations: 10 {4 =

13 To perform the following calculations when Fix 3 is selected

for the number of display digits: 10 ÷ 3 × 3 and Rnd(10 ÷ 3)

× 3

N 1(Fix)3

10 /3 *3

=

10.000

10 /3 =10(Rnd)*3

=

9.999

15. Statistical Calculations (SD,REG*)

*fx-82MS/85MS/300MS/350MSonly

To select this type of statistical

Perform this key

calculation: (Regression formula

operation:

shown in parentheses)

Single-variable(X)

,2(SD)

Paired-variable(X, Y), linear

,3(REG)1(Lin)

regression

( y = A + Bx)

Paired-variable(X, Y), logarithmic

,3(REG)2(Log)

regression

( y = A + Blnx)

Paired-variable(X, Y),e

,3(REG)3(Exp)

exponential regression ( y = AeBx)

Paired-variable(X, Y), power

,3(REG)e1(Pwr)

regression

( y = AxB)

Paired-variable(X, Y), inverse

,3(REG)e2(Inv)

regression

( y = A + B/x)

Paired-variable(X, Y), quadratic

,3(REG)e3(Quad)

regression

( y = A + Bx + Cx2)

k Inputting Data

In the SD Mode and REG Mode, the l key operates as the 7 key.

Always start data input with !,(CLR)b(Scl)= (rb(Scl)=on the fx-82SXPLUS/220 PLUS) to clear statistical memory.

Input data using the key sequence shown below. SD Mode: <x-data>7

REG Mode: <x-data> ,<y-data>7

77 inputs the same data twice.

You can also input multiple entries of the same data using !,(;) (!)(;) on the fx-82SXPLUS/220 PLUS).

k Data Input Precautions

While inputting data or after inputting data is complete, you can use the f and c keys to scroll through data you have input. If you input multiple entries of the same data using !,(;) (!)(;) on the fx-82SXPLUS/220 PLUS) to specify the data frequency (number of data items) as described above, scrolling through data shows both the data item and a separate screen for the data frequency (Freq).

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, you should always press the A key first to exit data display.

Pressing the 7 key instead of = after changing a value on the display registers the value you input as a new data item, and leaves the old value as it is.

You can delete a data value displayed using fand cby pressing !l(CL). Deleting a data value causes all values following it to be shifted up.

The message “Data Full” appears and you will not be able to input any more data if there is no memory left for data storage. If this happens, press the =key to display the screen shown below.

Press cto exit data input without registering

the value you just input. Press b if you want to register the value

you just input. If you do this, however, you will not be able to display or edit any of the data you have input.

After inputting statistical data in the SD Mode or REG Mode, you will be unable to display or edit individual data items any longer after perform either the following operations: changing to another mode; changing the regression type.

Entering the REG Mode and selecting a regression type (Lin, Log, Exp, Pwr, Inv, Quad) clear variables A through F, X, and Y.

Do not use variables A through F, X, or Y to store data when performing statistical calculations.

k Obtaining Statistical Values from Input Data

Supported statistical variables and the keys you should press to recall them are shown below.

fx-82SXPLUS/220 PLUS:

Sum: Σx2, Σx, Number of Items:n, Mean:o, Population Standard Deviation:σx, Sample Standard Deviation:sx

!eto j

fx-82MS/85MS/300MS/350MS:

For single-variablestatistical calculations, the variables marked with an asterisk (*) are available.

Sum: Σx2*, Σx*, Σy2, Σy, Σxy, Σx3, Σx2y, Σx4,Number of Items: n*

Σx2, Σx,n ...........

!b(S-SUM)bto d

Σy2, Σy, Σxy ........

!b(S-SUM)ebto d

Σx3, Σx2y, Σx4 .....

!b(S-SUM)eebto d(Quadratic

Regression only)

Mean: o*, p, Population Standard Deviation:σx*, σy, Sample Standard Deviation:sx*, sy

o, σx, sx ..............!c(S-VAR)bto d

p, σy, sy ...............!c(S-VAR)ebto d

Regression Coefficients: A, B, Correlation Coefficient:r Regression Coefficients for Quadratic Regression:A, B, C

!c(S-VAR)eebto d

Estimated Values: m, n

Estimated Values for Quadratic Regression: m1, m2, n

!c(S-VAR)eeebto c (or d)

m,m1,m2 andn are not variables. They are commands of the type that take an argument immediately before them. See “Calculating Estimated Values” for more information.

1

To calculate the mean (o) and population standard

deviation (σx) for the following data: 55, 54, 51, 55, 53, 53,

54, 52

,c(SD)

55 754 751 755 753 7754 752 7

fx-82SXPLUS/220 PLUS: !h(o)=

53.375

!i(σx)= 1.316956719

fx-82MS/85MS/300MS/350MS:

!c(S-VAR)b(o)

53.375

!c(S-VAR)c(σx)1.316956719

2

fx-82MS/85MS/300MS/350MS:To calculate the linear

regression and logarithmic regression correlation

coefficients (r) for the followingpaired-variabledata

and determine the regression formula for the strongest

correlation: (x,y) = (20, 3150), (110, 7310), (200, 8800),

(290, 9310). Specify Fix 3 (three decimal places) for results.

,3(REG)1(Lin) , 1(Fix)3

20,3150 7110 ,7310 7200 ,8800 7290 ,

9310 7

!2(S-VAR)ee3(r)=

0.923

,3(REG)2(Log)

20 ,3150 7110 ,7310 7200 ,8800 7290 ,

9310 7

!2(S-VAR)ee3(r)=

0.998

!2(S-VAR)ee1(A)=−3857.984

!2(S-VAR)ee2(B)=

2357.532

Logarithmic Regression Formula: y =–3857.984+ 2357.532lnx

k Calculating Estimated Values

Based on the regression formula obtained by paired-variablestatistical calculation, the estimated value ofy can be calculated for a givenx-value.The correspondingx-value(two values,x1 andx2, in the case of quadratic regression) also can be calculated for a value ofy in the regression formula.

3 To determine the estimate value fory whenx = 160 in the regression formula produced by logarithmic regression of the data in2. Specify Fix 3 for the result. (Perform the

following operation after completing the operations in 2.) 16012(S-VAR)eee2(n)=8106.898

Important: Regression coefficient, correlation coefficient, and estimated value calculations can take considerable time when there are a large number of data items.

16. Calculation Ranges, Numberof

Digits,andPrecision

k Calculation Range and Precision

Calculation Range: ±1 ×10–99to 9.999999999 × 1099 or 0

Number of Digits for Internal Calculation: 15 digits

Precision: In general, ±1 at the 10th digit for a single calculation. Precision for exponential display is ±1 at the least significant digit. Errors are cumulative in the case of consecutive calculations.

k Function Calculation Input Ranges and Precision

Functions

Input Range

sinx

DEG

0 |x| 9 × 109

RAD

0 |x| 157079632.7

cosx

GRA

0 |x| 1 × 1010

DEG

Same as sinx, except when |x| =(2n–1)× 90.

tanx

RAD

Same as sinx, except when |x| =(2n–1)× π/2.

Same as sinx, except when |x| =(2n–1)×

GRA

100.

sin–1x

0

|x| 1

cos–1x

tan–1x

0

|x| 9.999999999 × 1099

sinhx

0

|x| 230.2585092

coshx

sinh–1x

0

|x| 4.999999999 × 1099

cosh–1x

1

x 4.999999999 × 1099

tanhx

0

|x| 9.999999999 × 1099

tanh–1x

0

|x| 9.999999999 ×10–1

logx/lnx

0

x 9.999999999 × 1099

10x

–9.999999999× 1099 x 99.99999999

ex

–9.999999999× 1099 x 230.2585092

'x

0

x 1 × 10100

x2

|x| 1 × 1050

x–1

|x| 1 × 10100;x G 0

3'x

|x| 1 × 10100

x!

0

x 69 (x is an integer)

nPr

0

n 1 × 1010, 0r n (n,r are integers)

1

{n!/(nr)!}1 × 10100

nCr

0

n 1 × 1010, 0r n (n,r are integers)

1

n!/r! 1 × 10100 or 1n!/(nr)!1 × 10100

Pol(x,y)

|x|, |y| 9.999999999 × 1099

x2+ y2

9.999999999 × 1099

Rec(r, )

0

r 9.999999999 × 1099

: Same as sinx

°’ ”

|a|,b,c 1 × 10100; 0b,c

The display seconds value is subject to an error of

±1 at the second decimal place.

|x| 1 × 10100

Decimal ↔ Sexagesimal Conversions

0°0´0˝ |x| 9999999°59´

x 0:–1× 10100 ylogx 100

xy

x = 0:y 0

1

x

0: y =n,2n+1 (n is an integer)

However: –1× 10100 ylog |x| 100

y 0:x G 0,–1× 10100 1/x logy 100

x

y = 0:x 0

'y

y 0:x = 2n+1,1 (n G 0;n is an integer)

n

However: –1× 10100 1/x log |y| 100

ab/c

Total of integer, numerator, and denominator must

be 10 digits or less (including division marks).

RanInt#(a,b)

a b;|a|,|b| 1 × 1010;b a 1 × 1010 (a,b are

integers)

Precision is basically the same as that described under “Calculation Range and Precision”, above.

Calculations that use any of the functions or settings shown below require consecutive internal calculations to be performed, which can

cause accumulation of error that occurs with each calculation.

xy,x'y,3',x!,nPr,nCr; °,r,g (angle unit: radians); σx, sx, regression coefficient.

Error is cumulative and tends to be large in the vicinity of a function’s singular point and inflection point.

Accumulation of errors tends to occur during statistical calculations involving data in which there is a large number of decimal places and there is little difference between data items. Input of statistical data is limited to six decimal places.

17. Error Messages

The calculator will display an error message whenever an error occurs for any reason during a calculation.

Press d or e to return to the calculation screen. The cursor will be positioned at the location where the error occurred, ready for input. Make the necessary corrections to the calculation and execute it again. (Not included on the fx-82SXPLUS)

Press A to return to the calculation screen. Note that this also clears the calculation that contained the error.

Math ERROR

Cause: • The intermediate or final result of the calculation you are performing exceeds the allowable calculation range. • Your input exceeds the allowable input range. • The calculation you are performing contains an illegal mathematical operation (such as division by zero).

Action: • Check the input values and reduce the number of digits.

• When using independent memory or a variable as the argument of a function, make sure that the memory or variable value is within the allowable range for the function.

Stack ERROR

Cause: The calculation you are performing has caused the capacity of the numeric stack or the command stack to be exceeded.Action: • Simplify the calculation expression. • Try splitting the calculation into two or more parts.

Syntax ERROR

Cause: There is a problem with the format of the calculation you are performing.

Action: Make necessary corrections.

Arg ERROR

Cause: Improper use of an argument.

Action: Make necessary corrections.

18. BeforeAssuming Malfunctionof the

Calculator...

Perform the following steps whenever an error occurs during a calculation or when calculation results are not what you expected. Note that you should make separate copies of important data before performing these steps.

1. Check the calculation expression to make sure that it does not contain any errors.

2. Make sure that you are using the correct mode for the type of calculation you are trying to perform.

3. If the above steps do not correct your problem, press the O key.

4. Initialize all modes and settings. See “Initializing Calculator Settings”.

19. Replacing theBattery

Important: Removing the battery will cause all of the calculator’s memory contents to be deleted.

1. Press 1A(OFF) to turn off the calculator.

To ensure that you do not accidentally turn on power while replacing the battery, slide the hard case onto the front of the

calculator (fx-350MS).

2. Remove the cover as shown in the illustration and replace the battery, taking care that its plus (+) and minus (–)ends are facing correctly.

Screw

Screw

Screw

Screw

Screw

fx-82MS/82SXPLUS/

fx-350MS

fx-85MS/300MS

220 PLUS

3. Replace the cover.

4. Initialize the calculator. See “3. Initializing the Calculator”.

• Do not skip the above step!

Casio Fx 82ms Manual Pdf

20. Specifications

Power Requirements:

fx-82MS/82SXPLUS/220 PLUS:AA-sizebattery R6P(SUM-3)× 1fx-350MS:Button battery LR44 (GPA76) × 1

fx-85MS/300MS:Built-insolar cell; button battery LR44 (GPA76)

× 1

Approximate Battery Life:

fx-82MS/82SXPLUS/220 PLUS: 17,000 hours (continuous display of flashing cursor)

fx-350MS:9,000 hours (continuous operation)

fx-85MS/300MS:3 years (based on one hour of operation per day)

Power Consumption:

0.0001 W (fx-82MS/82SXPLUS/220 PLUS/350MS)

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

Dimensions (H × W × D)/Approximate Weight (including the battery)

fx-82MS

18.6 × 85 × 156 mm

115 g

3/4 × 33/8 × 61/8

(4.1 oz)

fx-82SXPLUS

19.5 × 78 × 155 mm

115 g

fx-220PLUS

3/4 × 31/8 × 61/8

(4.1 oz)

fx-85MS

12.2 × 85 × 155 mm

100 g

fx-300MS

1/2 × 33/8 × 61/8

(3.5 oz)

fx-350MS

Manufacturer:

CASIO COMPUTER CO., LTD.

6-2,Hon-machi1-chome

Shibuya-ku,Tokyo151-8543,Japan

Responsible within the European Union: CASIO EUROPE GmbH

Casio Fx 82ms User Manual Online

Casio-Platz1

22848 Norderstedt, Germany

This mark applies in EU countries only.

RJA521989-001V01

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