Casio Fx 82ms User Manual

Files for fx-991W
  1. Casio Fx 82ms User Manual Free
  2. Casio Fx 82ms User Manual 2017
  • #
    13.09.2015421.34 Kb4User Manual.pdf

Hackear Casio fx-82MS para desbloquear nuevas funciones de otras calculadoras Casio mas caras - Duration: 2:08. Gusano300 192,106 views. Manuals and User Guides for Casio fx-82MS. We have 5 Casio fx-82MS manuals available for free PDF download: Manual Book, User Manual, Product Catalogue Casio fx-82MS Manual Book (49 pages). Office Manuals and free pdf instructions. Find the office and computer equipment manual you need at ManualsOnline. Portable Document Format (PDF) documents can be read with Adobe Reader software.

Size:Download

fx-100Wfx-115Wfx-570Wfx-991W

  1. Casio India official home page. (Super Visually Perfect Algebraic Method) All the features of the existing V.P.A.M. Series plus a new 2-line display and a useful Replay function. All this helps to make mathematics easier to use and easier to understand than ever before.
  2. Casio FX-82MS manual: kFraction Operations. Stores the calculation formula and its result in replay memory. Pressing the.
  3. Casio FX-300MS. User guide. Download PDF for free and without registration! Manuals Directory ManualsDir.com - online owner manuals library. Casio manuals. Calculators, organizers. Download Casio FX-300MS User Manual – Download. Casio FX-300MS User Manual. Casio / Calculators.

User’s Guide Guía del usuario Mode d’emploi

Bedienungsanleitung Guida dell’utilizzatore

ENGLISH

Removing and Replacing

the Calculator’s Cover

To Remove the cover

Grasp the top of the cover, and slide the unit out from the bottom.

To Replace the cover

Grasp the top of the cover, and slide the unit in from the bottom.

Always slide the unit into the cover with the unit’s display end first. Never slide the keyboard end of the unit into the cover.

Safety Precautions

Be sure to read the following safety precautions before using this calculator. Keep this manual handy for later reference.

Caution

This symbol is used to indicate information that can result in personal injury or material damage if ignored.

Batteries

After removing the batteries from the calculator, put them in a safe place where there is no danger of them getting into the hands of small children and accidently swallowed.

Keep batteries out of the reach of small children. If accidently swallowed, consult with a physician immediately.

Never charge batteries, try to take batteries apart, or allow batteries to become shorted. Never expose batteries to direct heat or dispose of them by incineration.

Misuse of batteries can cause them to leak acid that can cause damage to nearby items and creates the possibility of fire and personal injury.

Always make sure that a battery’s positive k and negativel sides are facing correctly when you load it into the calculator.

Remove the batteries if you do not plan to use the calculator for a long time.

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

Disposing of the Calculator

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

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 these materials. Moreover, CASIO Computer Co., Ltd. shall not be liable for any claim of any kind whatsoever against the use of these materials by any other party.

Handling Precautions

Be sure to press the P button on the back of the calculator (step 6on page 35 or 36) before using it for the first time (fx-570W/fx-100W).

Be sure to press the 5key before using the calculator for the first time(fx-991W/fx-115W).

Even if the calculator is operating normally, replace the battery at least once every three years for the fx-570W/fx-991W/fx-115W,or at least once every two years for thefx-100W.

Dead battery can leak, causing damage to and malfunction of the calculator. Never leave the dead battery in the calculator.

The battery that comes with the calculator when you purchase it is for testing only. It may not provide full service life.

Low battery power can cause memory contents to become corrupted or lost completely. Always keep written records of all important data.

Avoid use and storage in areas subjected to temperature 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, near a window, near a heater or anywhere else it might become exposed to very high temperatures. Heat can cause discoloration or deformation of the calculator’s 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 might be splashed by water or exposed to large amounts of humidity or dust. Such elements can damage internal circuitry.

Never drop the calculator or otherwise subject it to strong impact.

Never twist or bend the calculator.

Avoid carrying the calculator in the pocket of your trousers or other tight-fittingclothing where it might be subjected to twisting or bending.

Never try to take the calculator apart.

Never press the keys of the calculator with a ball-pointpen or other pointed object.

Use a soft, dry cloth to clean the exterior of the unit.

If the calculator becomes very dirty, wipe it off with a cloth moistened in a weak solution of water and a mild neutral household detergent. Wring out all excess moisture before wiping the calculator. Never use thinner, benzine or other volatile agents to clean the calculator. Doing so can remove printed markings and damage the case.

Safety Precautions .....................

1

Handling Precautions ....................

2

Two-lineDisplay ........................

5

Key Layout ............................

6

Before Starting Calculations.. ............

8

kModes ..................................

8

kInput Capacity ............................

9

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

9

kReplay Function ...........................

9

kError Locator ............................

10

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

10

kAnswer Memory ..........................

10

Basic Calculations .....................

11

Memory Calculations ...................

11

kIndependent Memory ......................

11

kVariables ...............................

11

Fraction Calculations ...................

12

kFraction Calculations ......................

12

kDecimal-to-FractionConversion ..............

12

kFraction-to-DecimalConversion .............

12

Percentage Calculations ................

13

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

14

kTrigonometric/Inverse Trigonometric Functions ..

14

kHyperbolic/Inverse Hyperbolic Functions ......

14

kAngle Unit Conversion .....................

15

kCommon and Natural Logarithms/

Antilogarithms ...........................

15

kSquare Roots, Cube Roots, Roots, Squares,

Cubes, Reciprocals, Factorials,

Random Numbers and π .....................

15

kFIX, SCI, RND ...........................

16

kENG Calculations ........................

17

kInputting ENG Calculation Symbols ...........

17

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

18

kPermutation .............................

19

kCombination .............................

19

E-4

Statistical Calculations .................

19

kStandard Deviation (SD Mode) ..............

19

kProbability Distribution Calculations ..........

20

kRegression Calculations (REG Mode) .........

21

Complex Number Calculations

(CMPLX Mode) ........................

23

kAbsolute Value/Argument Calculation .........

24

Formula Memory ......................

24

Metric Conversions (fx-570W/fx-991W) ....

25

Scientific Constants (fx-570W/fx-991W) ...

26

Base-nCalculations ...................

28

Integration Calculations .................

30

Degrees, Minutes, Seconds Calculations ..

30

Technical Information...................

31

kWhen you have a problem... ...............

31

kError Messages ..........................

31

kOrder of Operations .......................

32

kStacks .................................

33

kPower Supply ............................

34

kInput Ranges ............................

37

Specifications ........................

39

Two-lineDisplay

You can simultaneously check the calculation formula and its answer.

The first line displays the calculation formula. The second line displays the answer.

Key Layout

< fx-570W>

Page

12

9

SHIFT

ALPHA

REPLAY

MODE

OFF

Page

25

16 29

25

15

16

x! LOGIC

CONV

Page

25

30

16

27

16

15

Page

18 24

12

29

15 29

15 29

Page

DEC

HEX

10 BIN

e

OCT

17

12

15

16

15

15

Page

11

30 11

11

11

14 11

14 11

Page

A

B

C

sin-1

D

cos-1E

tan-1F

11

30

14

14

14

Page

20

24

21 24

24 11

20 11

11 11

DISTR

Re<->lm

r arg

Abs

X

Y

M-

M

Page

11

11

11

11

20 DT CL20

11

Page

21

17

21

17

21

17

9

11

19

Page

A

M

B

G

C

T

INS

McI

ScI

9

Page

21

17

21

17

21

17

19

19

y

m

k

nPr

nCr

Page

19

17

19

17

19

17

21

18

21

18

f

p

n

Pol(

y

Rec(

Page

16

16

16

15

13

Rnd

Ran#

DRG

Page

11

10

CONV

fx-100W:15

E-6

< fx-991W>

Page

12

9

2

SHIFT

ALPHA

REPLAY

MODE

ON

Page

25

16 29

25

15

16

x! LOGIC

CONV

Page

25

30

16

27

16

15

Page

18 24

12

29

15 29

15 29

Page

DEC

HEX

10 BIN

e

OCT

17

12

15

16

15

15

Page

11

30 11

11

11

14 11

14 11

Page

A

B

C

sin-1

D

cos-1E

tan-1F

11

30

14

14

14

Page

20

24

21 24

24 11

20 11

11 11

DISTR

Re<->lm

r arg

Abs

X

Y

M-

M

Page

11

11

11

11

20 DT CL20

11

Page

21

17

21

17

21

17

9

11

19

Page

A

M

B

G

C

T

INS

McI

ScI

9

Page

21

17

21

17

21

17

19

19

y

m

k

nPr

nCr

Page

19

17

19

17

19

17

21

18

21

18

f

p

n

Pol(

y

Rec(

Page

16

16

16

15

13

Rnd

Ran#

DRG

Page

11

10

CONV

fx-115W:15

E-7

Before Starting Calculations..

kModes

Application

Mode

Mode

Name

Indicator

Calculation Modes

Normal calculations

COMP

Complex number

CMPLX

CMPLX

calculations

Standard deviation

SD

SD

calculations

Regression calculations

REG

REG

Base-ncalculations

BASE-N

b (binary)

o (octal)

d (decimal)

H (hexadecimal)

Angle Unit Modes

Degrees

DEG

R

Radians

RAD

T

Grads

GRA

B

Display Modes

Exponential notation

NORM1

(Canceling FIX and SCI

NORM2

specification)

Number of decimal

FIX

Fix

place specification

Number of significant

SCI

Sci

digit specification

Exponential display range

ENG

ENG

specifications

Note!

Mode indicators appear in the lower part of the display, except for the Base-nindicators which appear in the exponent part of the display.

The ENG mode cannot be selected while the calculator is in the CMPLX or BASE-Nmode.

You cannot set the angle unit or the display mode while the calculator is in the BASE-Nmode.

The COMP, CMPLX, SD, and REG modes can be used in combination with the angle unit modes.

Be sure to check the current calculation mode (SD, REG, COMP, CMPLX) and angle unit mode (DEG, RAD, GRA) before beginning a calculation.

kInput Capacity

The memory area used for calculation input can hold 79 “steps.” 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 still need to input more, you should divide your calculation into two or more parts.

kMaking Corrections During Input

Use e andr to move the cursor to the location you want.

Press [ to delete the number or function at the current cursor position.

Press AK to change to an insert cursort. Inputting something while the insert cursor is on the display inserts the input at the insert cursor position.

Press e,r,AK, or= returns to the normal cursor from the insert cursor.

kReplay Function

Pressing r ore recalls the last calculation you performed. You can then make any changes you want in the calculation andre-executeit.

Pressing t does not clear Replay memory, so you can recall the last calculation even after you presst.

Replay memory is cleared whenever you start a new calculation, change to another mode, or turn off power.

kError Locator

Pressing r ore after an error occurs displays the calculation with the cursor positioned at the location where the error occurred.

kExponential Display Formats

This calculator can display up to 10 digits. Larger values are automatically displayed using exponential notation. In the case of decimal values, you can select between two formats that determine at what point exponential notation is used. Press F FF F3 1(or2) to select NORM 1 or NORM 2.

• NORM 1

With NORM 1, exponential notation is automatically used for integer values with more than 10 digits and decimal values with more than two decimal places.

• NORM 2

With NORM 2, exponential notation is automatically used for integer values with more than 10 digits and decimal values with more than nine decimal places.

All of the examples in this manual show calculation results using the NORM 1 format.

kAnswer Memory

Whenever you press =after inputting values or an expression, the calculated result is automatically stored in

Answer Memory. You can recall Answer Memory contents by pressing g.

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

Answer Memory contents are not changed if the operation performed by any of the above key operations results in an error.

Basic Calculations

Use the COMP mode for basic calculations.

Example 1: 3 (5 10–9)

3 -R5eD9T=

1.5-08

Example 2:5 (9 7)

5 -R9+7T=

80.

• You can skip all T operations before=.

Memory Calculations

kIndependent Memory

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

Independent memory uses the same memory area as variable M.

To clear independent memory (M), input 0j3.

Example:

23

9

32

23 +9j3

32.

53

6

47

53 , 6

47.

) 45

2

90

(Total)

–11

45 -2A{

90.

03

–11.

kVariables

There are nine variables (A through F, M, X and Y), which can be used to store data, constants, results, and other values.

Use the following operation to delete data assigned to all nine variables: AC=.

Use the following operation to delete data assigned to a particular variable: 0 j 1. This operation deletes the data assigned to variable A.

Example:193.2

23 8.4

193.2

28 6.9

193.2 j1

23 =

8.4

p1

28 =

6.9

Fraction Calculations

kFraction Calculations

Use the COMP mode for fraction calculations.

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

Example 1: 23 1 45

2 C3+1C 4C 5= 2 715.

Example 2:

1

1.6

2

1 C2+1.6=

2.100

• Fraction/decimal calculation results are always decimal.

kDecimal-to-FractionConversion

Example: 2.75 → 2

3

2.75 =

2.75

4

C

2

3

4.00

AB

11

4.00

kFraction-to-DecimalConversion

Example:

1

↔ 0.5 (Fraction ↔Decimal)

2

1 C 2=

1

2.00

C

0.500

C 12.00

Percentage Calculations

Use the COMP mode for percentage calculations.

Example 1: To calculate 12% of 1500

1500 - 12Av

180.00

Example 2: To calculate what percentage of 880 is 660

660 880Av

75.00

Example 3: To add 15% onto 2500

2500 -15

Av+

2875.00

Example 4: To discount 3500 by 25%

3500 -25Av,

2625.00

Example 5: If 300 grams are added to a test sample originally weighing 500 grams, what is the percentage increase in weight?

300 500

100 160 (%)

500

300 +500Av

160.00

Example 6: If temperature changes from 40°C to 46°C, what percentage did it rise?

46 40

40

100 15 (%)

46 , 40Av

15.00

Scientific Function Calculations

Use the COMP mode for scientific function calculations.

= 3.14159265359

kTrigonometric/Inverse Trigonometric

Functions

Example 1: sin63°52 41

qqq 1→“ R

S63 I52I 41I=

Example 2: cos ( π3 rad)

qqq 2→“ T

WR Ax 3 T=

Example 3:cos 1

2

π

rad

4

2

qq q2→“ T ”

WAVRL2 2 T=

g Ax=

Example 4: tan10.741

qqq1 →“ R

Ag0.741=

0.89785901200

R

0.500

T

0.78539816300

T

0.2500

36.5384457700

R

kHyperbolic/Inverse Hyperbolic

Functions

Example 1:sinh 3.6

M S3.6 = 18.2854553600

Example 2:sinh 1 30

MA j30 = 4.09462222400

kAngle Unit Conversion

• Press Av to display the following menu.

D R G

1 2 3

Pressing 1,2, or3 converts the displayed value to the corresponding angle unit.

Example : To convert 4.25 radians to degrees

FFF1 → “ R ”

4.25

Av 2

( ) =

4 . 25r

R

243.5070629

kCommon and Natural Logarithms/

Antilogarithms

Example 1:log 1.23

R1.23=

0.08990511100

Example 2: In 90 ( loge 90)

T90

=

4.4998096700

Example 3:e10

A U10

=

22026.4657900

Example 4:101.5

A Q1.5

=

31.622776600

Example 5:24

2 w 4

=

16.00

kSquare Roots, Cube Roots, Roots,

Squares, Cubes, Reciprocals,

Factorials, Random Numbers and π

Example 1:2 3 5

L2 +L3 -L5 = 5.287196909

Example 2:3 5 3 27

AD5 +ADD 27 = –1.290024053

(fx-100W/fx-115W:D)

E-15

1

Example 3:7 123

( = 123 7 )

7 A H123=

1.988647795

Example 4:123 302

123 +30K=

1023.

Example 5:123

12 N=

1728.

Example 6:

1

1

1

3

4

R3 a,4 aT a=

12.

Example 7:8!

8 Af=

40320.

Example 8: To generate a random number between 0.000 and 0.999

AM=

0.664

Example (results differ each time)

Example 9:

3 Ax=

9.424777961

kFIX, SCI, RND

Example 1: 200 7 14 400

200 7- 14

=

400.

(Specifies three

FFF F13

400.00000

decimal places.)

Fix

(Calculation continues using 10

200 7=

28.571

display digits)

- 14

=

400.000

Performing the same calculation using the specified number of decimal places

200 7=

28.571

AQ

(Internal rounding)

28.571

-14= 399.994

Press FFFF 31to clear FIX specification.

Example 2: 1 3, displaying result with two significant digits (SCI 2)

FFFF2 21 3 =

3.3–01

Sci

• Press FFFF31 to clear SCI specification.

kENG Calculations

Example 1: To convert 56,088 meters to kilometers

56088 =J 56.08803

Example 2: To convert 0.08125 grams to milligrams

0.08125 =J

81.25–03

kInputting ENG Calculation Symbols

F F F F F 1 enters the ENG mode in which ENG symbols can be used in calculations.

To exit the ENG mode, press FFF FF2.

The following are the nine ENG symbols that can be used in ENG mode calculations.

Key Operation

Unit

Symbol

A k

103

k (kilo)

A M

106

M (Mega)

A g

109

G (Giga)

A t

1012

T (Tera)

A m

10–3

m (milli)

A N

10–6

(micro)

A n

10–9

n (nano)

A p

10–12

p (pico)

A f

10–15

f (femto)

*For displayed values, the calculator selects the ENG symbol that makes the numeric part of the value fall within the range of 1 to 1000.

*ENG symbols cannot be used when inputting fractions.

*The ENG mode cannot be used in combination with the CMPLX, or BASE-Nmodes.

Performing any of the key operations in the above table while you are not in the ENG mode inputs the exponential value in the “Unit” column (without inputting the ENG symbol).

Example: 9 10 = 0.9 m (milli)

F FFFF 1

0.

ENG

9 10=

9 1

m

900.

In the ENG mode, even standard (non-ENG)calculation results are displayed using ENG symbols.

AP

0.9

J

9 1

m

900.

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

Calculation results are automatically assigned to variables E and F.

Example 1: To convert polar coordinates (r 2, 60°) to rectangular coordinates (x,y) (DEG mode)

x

AF 2 P60 T=

1.

R

0o

y

1.732050808

0 n,0 o swaps displayed value with value in memory.

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

r

Af1 P L3 T=

2.

T

θ0o 1.047197551

0 n,0 o swaps displayed value with value in memory.

kPermutation

Example: To determine how many different4-digitvalues can be produced using the numbers 1 through 7

Numbers cannot be duplicated within the same 4-digitvalue (1234 is allowed, but 1123 is not).

7 Am 4=

840.

kCombination

Example: To determine how many different4-membergroups can be organized in a group of 10 individuals

10 An 4=

210.

Statistical Calculations

kStandard Deviation (SD Mode)

Press F F 1 to enter the SD Mode for statistical calculations using standard deviation.

Data input always starts with Am=to clear statistical memory.

Input data is used to calculate values for n,Σx,Σx2,o,σn andσn-1which you can recall using the key operations noted nearby.

E-19

Example: To calculateσn 1,σn,o,n, Σx, and Σx2 for the following data : 55, 54, 51, 55, 53, 53, 54, 52

Enter SD Mode F F 1

A m= (Memory Clear)

55 S54S 51S 55S

53 SS 54S 52S 52.00

SD

(Sample Standard Deviation σn 1)

A N =

1.40788595300

(Population Standard Deviation σn)

A A =

1.31695671900

A M =

(Arithmetic Mean o)

53.37500

0 k

(Number of Data n)

8.00

0 H

(Sum of Values Σx)

427.00

0 G

(Sum of Squares of Values Σx 2)

22805.00

Data Input Precautions

S Sinputs the same data twice.

You can also input multiple entries of the same data using A G. To input the data 110 ten times, for example, press 110A G10S.

The above results can be obtained in any order, and not necessarily that shown above.

To delete data you have just input, press A U.

kProbability Distribution Calculations

• Press A Dto produce the screen shown below.

P ( Q( R( →t

1 2 3 4

Input a value from 1 to4 to select the probability distribution calculation you want to perform.

P(t)

Q(t)

R(t)

Example : Using thex-datavalues input in the example on page 20, determine the normalized variate (t) forx = 53 and normal probability distribution P(t).

53 A D4 (→t) = -0.284747398

A D1 ( P( )-0.28F= 0.38974

kRegression Calculations (REG Mode)

Press F F 2 to enter the REG mode and then se-

lect one of the following regression types. 1: Linear regression

2: Logarithmic regression

3: Exponential regressionr1: Power regression

r2: Inverse regressionr3: Quadratic regression

Data input always starts with A m= to clear statistical memory.

The values produced by a regression calculation depend on the values input, and results can be recalled using the key operations shown in the table below.

0 G

Σx2

A N

xσn-1

0 H

Σx

A l

p

0 k

n

A d

yσn

0 h

Σy2

A c

yσn-1

0 n

Σy

A q

Regression coefficient A

0 o Trade gothic lt std bold.

Σxy

A w

Regression coefficient B

0 M

Σx3

A e

Regression coefficient C

0 x

Σx2y

A u

Correlation coefficient r

0 y

Σx4

A O

m

A M

o

A b

n

A A

xσn

• Linear Regression

The regression formula for linear regression is: y A Bx.

Example: Atmospheric Pressure vs. Temperature

Temperature

Atmospheric

Perform linear regression to de-

Pressure

termine the regression formula

10°C

1003 hPa

terms and correlation coefficient

15°C

1005 hPa

for the data nearby. Next, use the

20°C

1010 hPa

regression formula to estimate at-

25°C

1011 hPa

mospheric pressure at 18°C and

30°C

1014 hPa

temperature at 1000 hPa.

Enter REG Mode (Linear Regression)

qq 2 1

A m =(Memory Clear)

10 P1003S 15P1005S

20 P1010S 25P1011S

30 P1014S

30.00

REG

A q=

(Regression Coefficient A)

997.400

A w=

(Regression Coefficient B)

0.5600

(Correlation Coefficient r)

A J=

0.98260736800

18 A b

(Atmospheric Pressure at 18°C)

1007.4800

(Temperature at 1000 hPa)

1000 A O

4.64285714300

Quadratic Regression

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

Input data using the following key sequence. <x-data>P<y-data>S

Example:

Perform quadratic regression to determine the regression formula terms and correlation coefficient for the data nearby. Next, use the regression formula to estimate the values for (estimated value ofy) forxi = 16 andˆx (estimated value ofx) foryi = 20.

Enter REG mode (Quadratic regression)

F F 2 r 3

A m=

29 P1.6S50P 23.5

S

74 P 38.0S103P 46.4

S

118 P 48.0

S

118.

REG

A q=

(Regression Coefficient A)

-35.59856934

(Regression Coefficient B)

A w=

1.495939413

(Regression Coefficient C)

A e=

-6.71629667-03

(ˆy whenxi = 16)

16 A b

-13.38291067

(1 whenyi = 20)

20 A O

47.14556728

(2 whenyi = 20)

A O

175.5872105

Data Input Precautions

SS inputs the same data twice.

You can also input multiple entries of the same data using A G. To input the data “20 and 30” five times, for

example, press 20 P 30A G 5S.

The above results can be obtained in any order, and not necessarily that shown above.

To delete data you have just input, press A U.

Complex Number Calculations

(CMPLX Mode)

Press F 2to enter the CMPLX Mode for calculations that include complex numbers.

You can use variables A, B, C and M only. Variables D, E, F, X, and Y are used for storage of the imaginary parts of values and so cannot be used by you.

Example: (2 + 3i) + (4 + 5i)

Enter CMPLX Mode F 2

R2+3iT+

R4+5iT=

6.

Real number part

A r

8. i

Imaginary number part

kAbsolute Value/Argument Calculation

The procedure described below can be used to determine the absolute value (Abs) and argument (arg) for a complex number of the format Z = a +bi, which is presumed to exist as coordinates on a Gaussian plane.

Example: To obtain the absolute value (r) and argument (θ) for the complex number 3 + 4i, when DEG is set for the angle unit mode

Imaginary number axis

Real number axis

Determine the absolute value.

A AR3 +4 iT=

5.

CMPLX

Determine the argument.

A aR3 +4 iT=

53.13010235

Formula Memory

Formula memory lets you input a single formula in memory, and then input values for the formula's variables to calculate results.

Memory can hold a single formula, up to 79 steps long. This function can be used in the COMP or CMPLX mode only.

Note that the formula is actually stored in memory when you press the Ckey in the sequence below.

Example: To save the following formula, recall it, and then use it to calculate a result: Y = X2 + 3X – 12

Input the formula.

pypu pxK +

Y=X 2 +3X-12

3 p x ,12

0.

Store it in memory.

C

X?

0.

Input a value for its variable. 7

=

58.

=

X?

7.

8

=

76.

Formula memory is cleared whenever you start a new calculation, change to another mode, or turn off power.

Metric Conversions (fx-570W/fx-991W)

A total of 20 different conversion pairs are built-into provide quick and easy conversion to and from metric units.

See the Conversion Pair Table on page 26 for a complete list of available conversion pairs.

Example: To convert 31 inches to centimeters

31 A c CONV

CONV 1

01

01 is the inches-to-centimetersconversion pair number.

31 i n cm

0.

31 i n cm

= 78.74

• Conversion Pair Table

Based on ISO Standard (1992) data and CODATA Bulletin 63 (1986) data.

Number

Conversion Pair

Number

Conversion Pair

01

in → cm

21

oz → g

02

cm → in

22

g → oz

03

ft → m

23

lb → kg

04

m → ft

24

kg → lb

05

yd → m

25

atm → Pa

06

m → yd

26

Pa → atm

07

mile → km

27

mmHg → Pa

08

km → mile

28

Pa → mmHg

09

n mile → m

29

hp → kW

10

m → n mile

30

kW → hp

11

acre → m2

31

kgf/cm2→ Pa

12

m2 → acre

32

Pa → kgf/cm2

13

gal (US) →r

33

kgf•m → J

14

r → gal (US)

34

J → kgf•m

15

gal (UK) →r

35

lbf/in2 → kPa

16

r → gal (UK)

36

kPa → lbf/in2

17

pc → km

37

°F →°C

18

km → pc

38

°C →°F

19

km/h → m/s

39

J → cal

20

m/s → km/h

40

cal → J

Scientific Constants (fx-570W/fx-991W)

A total of 40 commonly-usedscientific constants, such as the speed of light in a vacuum and Planck's constant arebuilt-infor quick and easy lookup whenever you need them.

Simply input the number that corresponds to the scientific constant you want to look up and it appears instantly on the display.

See the Scientific Constant Table on pages 27 and 28 for a complete list of available constants.

Example: To determine how much total energy a person weighing 65kg has (E = mc2)

65 L CONST

CONST28

28

28 is the “speed of light in vacuum” constant number.

65Co

0.

K 65Co2 0.

65Co 2

= 5.84190866218

• Scientific Constant Table

Based on ISO Standard (1992) data and CODATA Bulletin 63 (1986) data.

Number

Constant Name

Symbol

01

proton mass

mp

02

neutron mass

mn

03

electron mass

me

04

muon mass

m

05

Bohr radius

a 0

06

Planck's constant

h

07

nuclear magneton

N

08

Bohr magneton

B

09

Planck's constant, rationalized (h-bar)

10

fine-structureconstant

α

11

classical electron radius

re

12

electron Compton wavelength

λc

13

proton gyromagnetic ratio

γp

14

proton Compton wavelength

λcp

15

neutron Compton wavelength

λcn

16

Rydberg constant

R∞

17

atomic mass unit

u

18

proton magnetic moment

p

19

electron magnetic moment

e

20

neutron magnetic moment

n

21

muon magnetic moment

22

Faraday constant

F

Number

Constant Name

Symbol

23

elementary charge

e

24

Avogadro constant

NA

25

Boltzmann constant

k

26

molar volume of ideal gas

Vm

27

molar gas constant

R

28

speed of light in vacuum

C 0

29

first radiation constant

C 1

30

second radiation constant

C 2

31

Stefan-Boltzmannconstant

σ

32

permittivity of vacuum

ε0

33

permeability of vacuum

0

34

magnetic flux quantum

φ0

35

standard acceleration of gravity

g

36

astronomical unit

AU

37

parsec

pc

38

Celsius temperature

t

39

Newtonian constant of gravitation

G

40

standard atmosphere

atm

Base-nCalculations

In addition to decimal values, calculations can be performed using binary, octal and hexadecimal values.

You can specify the default number system to be applied to all input and displayed values, and the number system for individual values you input.

You cannot use scientific functions in binary, octal, decimal, and hexadecimal calculations.You cannot input values that include decimal part and an exponent.

If you input a value that includes a decimal part, the unit automatically cuts off the decimal part.

Negative binary, octal, and hexadecimal values are produced by taking the two's complement.

You can use the following logical operators between values in Base-ncalculations: and (logical product), or (logical sum), xor (exclusive logical sum), xnor (exclusive logical sum negation), Not (negation), and Neg (minus).

The following are the allowable ranges for each of the available number systems.

Binary

1000000000

x 1111111111

0

x 0111111111

Octal

4000000000

x 7777777777

0

x 3777777777

Decimal

–2147483648

x 2147483647

Hexadecimal

80000000

x

FFFFFFFF

0

x

7FFFFFFF

Example 1: To perform the following calculation and produce a binary result:

101112 + 110102

Binary mode F F 3 b

0.

b

10111

+11010

0.

b

2

2

=

110001.

b

Example 2: To perform the following calculation and produce an octal result:

76548 1210

Octal mode F F 3 o

0.

o

lll4(o) 76548

lll1(d)1210

0.

o

=

516.

o

Example 3: To perform the following calculation and produce a hexadecimal result:

12016 or 11012

Hexadecimal mode F F 3 h

0.

H

12016 l2(or)

lll3(b)11012

0.

H

=

12d.

H

Integration Calculations

The following four inputs are required for integration calculations: a function with the variable x;a andb, which define the integration range of the definite integral; andn, which is the number of partitions (equivalent to N = 2n) for integration using Simpson’s rule.

d expressionPa P b Pn T

Use the COMP mode for integration calculations.

5

Casio fx 82ms user guide

Example: To calculate:1 (2x2 + 3x + 8)dx d 2p xK +3px+

8 P 1P5P6T

0.

= 150.6666667

Note!

You can specify an integer in the range of 1 to 9 as the number of partitions, or you can skip input of the number of partitions entirely, of you want.

Internal integration calculations may take considerable time to complete.

Display contents are cleared while an integration calculation is being performed internally.

Degrees, Minutes, Seconds

Calculations

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

Example 1: To convert the decimal value 2.258 to a sexagesimal value

2.258

2°15°28.8

Example 2: To perform the following calculation: 12°34’56” 3.45

12 I34I 56I -3.45

0.

= 43°24°31.2

Technical Information

kWhen you have a problem...

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

1.F 1 (COMP mode)

2.F F F 1 (DEG mode)

3.F F F F 3 1 (NORM 1 mode)

4.Check the formula you are working with to confirm it is correct.

5.Enter the correct modes to perform the calculation and try again.

< fx-570W/fx-100W>

If the above steps do not correct your problem, press the P button (see page 35 or 36) on the back of the calculator to reset it. Pressing the P button deletes all data stored in calculator memory. Make sure you always keep written copies of all important data.

< fx-991W/fx-115W>

If the above steps do not correct the problem, press the 5key.The calculator performs aself-checkoperation and deletes all data stored in memory if any abnormality is detected. Make sure you always keep written copies of all important data.

kError Messages

The calculator is locked up while an error message is on the display. Press t to clear the error, or presseorr to display the calculation and correct the problem. See “Error Locator” on page 10 for details.

Ma ERROR

Cause

Calculation result is outside the allowable calculation range.

Attempt to perform a function calculation using a value that exceeds the allowable input range.

Attempt to perform an illogical operation (division by zero, etc.).

Action

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

Stk ERROR

Cause

Capacity of the numeric stack or operator stack is exceeded.

Action

Simplify the calculation. The numeric stack has 10 levels and the operator stack has 24 levels.

Divide your calculation into two or more separate parts.

Syn ERROR

Cause

Attempt to perform an illegal mathematical operation.

Action

Press e orr to display the calculation with the cursor located at the location of the error. Make necessary corrections.

Arg ERROR

Cause

Improper use of argument

Action

Press eorrto display the location of the cause of the error and make required corrections.

kOrder of Operations

Calculations are performed in the following order of precedence.

1Coordinate transformation: Pol (x,y), Rec (r,θ) Integrations:dx

2Type A functions:

With these functions, the value is entered and then the

function key is pressed. x2,x 1,x!,°’ ”

3Powers and roots: xy,x

4ab/c

5Abbreviated multiplication format in front of π, memory name, or variable name: 2π, 5A,πA etc.

6Type B functions:

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

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

7Abbreviated multiplication format in front of Type B functions: 23, Alog2 etc.

8Permutation and combination: nPr,nCr

9,

0 ,

* Operations of the same precedence are performed from right to left. exIn120 →ex{In(120)}

Other operations are performed from left to right.

* Operations enclosed in parentheses are performed first.

kStacks

This calculator uses memory areas, called “stacks,” to temporarily store values (numeric stack) and commands (command stack) according to their precedence during calculations.The numeric stack has 10 levels and the command stack has 24 levels. A stack error (Stk ERROR) occurs whenever you try to perform a calculation that is so complex that the capacity of a stack is exceeded.

kPower Supply

The type of battery you should use depends on the model number of your calculator.

< fx-991W/fx-115W>

The TWO WAY POWER system actually has two power supplies: a solar cell and a G13 Type (LR44) button battery. Normally, calculators equipped with a solar cell alone can operate only when relatively bright light is present. The TWO WAY POWER system, however, lets you continue to use the calculator as long as there is enough light to read 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 the 5 key.

To replace the battery

1 Remove the six screws that

hold the back cover in place

and then remove the back Screw Screw cover.

2 Remove the old battery.

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

4 Replace the back cover and secure it in place with the six screws.

5Press 5to turn power on. Be sure not to skip this step.

< fx-570W>

This calculator is powered by single G13 Type (LR44) button battery.

Replacing the Battery

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 become dim.

To replace the battery

1Press ito turn power off.

2Remove the two screws that hold the battery cover in place and then remove the battery cover.

3Remove the old battery.

4Wipe off the side of new battery with a dry, soft cloth. Load it into the unit with the positive k side facing up (so you can see it).

5Replace the battery cover and secure it in place with the two screws.

6Use a thin, pointed object to press the P button. Be sure not to skip this step.

7Press Lto turn power on.

E-35

< fx-100W>

This calculator is powered by single AA-sizebattery.

Replacing the Battery

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 become dim.

To replace the battery

1Press ito turn power off.

2Remove the six screws

that hold the back cover in

Screw

Screw

place and then remove the

back cover.

3 Remove the old battery.

4 Load a new battery into the

unit so it’s positive k and

negative l sides are fac-

ing correctly.

5 Replace the back cover

and secure it in place with

the six screws.

6 Use a thin, pointed object

P button

to press the P button. Be

sure not to skip this step.

7 PressLto turn power on.

• Auto Power Off

Calculator power automatically turns off if you do not perform any operation for about six minutes. When this happens, press L(fx-991W/fx-115W:5) to turn power back on.

kInput Ranges

Internal digits: 12

Accuracy: As a rule, accuracy is±1 at the 10th digit.

Functions

Input Range

sinx

DEG

0 x 4.499999999 1010

RAD

0 x 785398163.3

GRA

0 x 4.499999999 1010

cosx

DEG

0 x 4.500000008 1010

RAD

0 x 785398164.9

GRA

0 x 5.000000009 1010

tanx

DEG

Same as sinx, except whenx =(2n-1)90.

RAD

Same as sinx, except whenx =(2n-1)π/2.

GRA

Same as sinx, except whenx =(2n-1)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

tanhx

0 x 9.99999999910-1

tanh–1x

log x/lnx

0 x

10x

–9.9999999991099 x 99.99999999

ex

–9.9999999991099 x 230.2585092

0 x 1 10100

x

x2

x 1 1050

1/x

x 1 10100 ;x G 0

3

x 1 10100

x

x!

0 x 69 (x is an integer)

Functions

Input Range

nPr

0 n 99,r n (n,r is an integer)

1 {n!/(nr)!}9.999999999 1099

nCr

0 n 99,r n (n,r is an integer)

Pol(x,y)

x ,y 9.999999999 1049

(x2+y2) 9.999999999 1099

Rec(r, )

0 r 9.999999999 1099

θ: Same as sinx, cosx

a , b, c1 10100

°’ ”

0 b, c

x 1 10100

Decimal ↔ Sexagesimal Conversions

000000 x 9999990590

x 0:–110100 ylogx 100

y

x 0: y0

1

x

x 0: y n,

(n is an integer)

2n+1

However: –110100 ylogx 100

y 0: xG 0

x

–110100 1/x logy 100

y 0: x0

y

1

y 0: x2n1,

(n G 0;n is an integer)

n

However: –110100 1/x logy 100

ab/c

Total of integer, numerator, and denominator

must be 10 digits or less (including division

marks).

x 1 1050

y 1 1050

SD

n 1 10100

(REG)

x n,y n,o,p

A, B, r :n G 0

x n1,y n1 :n G 0, 1

*Erros are cumulative with such internal continuous calculations as xy,x,x!, and3 x , so accuracy may be adversely affected.

Specifications

Power Supply:

fx-100W:SingleAA-sizebattery (R6P(SUM-3))fx-570W:Single G13 Type button battery (LR44)fx-115W/fx-991W:

Solar cell and a single G13 Type button battery (LR44)

Battery Life:

fx-100W:Approximately 17,000 hours continuous display of flashing cursor.

Approximately 2 years when left with power turned off.

fx-570W:Approximately 12,000 hours continuous display of flashing cursor.

Approximately 3 years when left with power turned off.

fx-115W/fx-991W:

Approximately 3 years (1 hour use per day).

Dimensions:

fx-100W:19.2(H) 76(W) 164(D) mm3/4 (H) 3 (W) 67/16 (D)

fx-115W/fx-570W/fx-991W:

10(H) 76(W) 150(D) mm 3/8 (H) 3 (W) 57/8 (D)

Weight:

fx-100W:114 g (4 oz) including battery

fx-115W/fx-570W/fx-991W:85 g (3oz) including battery

Power Consumption: 0.0001W

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

CASIO ELECTRONICS CO., LTD.

Unit 6, 1000 North Circular Road,

London NW2 7JD, U.K.

CASIO COMPUTER CO., LTD.

6-2,Hon-machi1-chome

Shibuya-ku,Tokyo151-8543,Japan

SA9810-CPrinted in China U.S. Pat. 4,410.956Imprimé en Chine

HA310540-1

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: 10–2x , x 1010 Norm 2:10–9x , 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.

Mar 01, 2017  Directed by Stuart Hazeldine. With Sam Worthington, Octavia Spencer, Tim McGraw, Radha Mitchell. A grieving man receives a mysterious, personal invitation to meet with God at a place called 'The Shack.' The shack trailer. Mar 03, 2017  Trailer for The Shack, starring Sam Worthington, Octavia Spencer, Radha Mitchell and Tim McGraw. Based on the New York Times best-selling novel, The Shack takes us on a father’s uplifting spiritual journey. After suffering a family tragedy, Mack Phillips Sam Worthington spirals into a deep depression causing him to question his innermost beliefs. Dec 01, 2016  The Shack Trailer 1 (2017) Sam Worthington, Octavia Spencer Drama Movie HD Official Trailer. Facing a crisis of faith, he receives a mysterious letter urging him to an abandoned shack deep in the Oregon wilderness. Despite his doubts, Mack journeys to the shack and encounters an enigmatic trio of strangers led by a woman named Papa Octavia Spencer.

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,b1 × 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

Casio Fx 82ms User Manual Free

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!

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)

Casio Fx 82ms User Manual 2017

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