background image

E-30

k

Order of Operations

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

1

Coordinate transformation: Pol (

x

y

), Rec (

r

θ

 )

2

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

x

3

,

 x

2

x

1

x

!, 

°

 ’ ”

m

,

 

m

1

,

 

m

2

,

 

n

Angle unit conversions (DRG

'

)

3

Powers and roots: 

^ (

x

y

)

x

4

a

b

/

c

5

Abbreviated multiplication format in front of 

π

e

 

(natu-

ral logarithm base), memory name, or variable name:
2

π

, 3

e

, 5A, 

π

A, etc.

6

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

3

, log, In, 

e

x

, 10

x

, sin, cos, tan, sin

1

, cos

1

,

tan

1

, sinh, cosh, tanh, sinh

1

, cosh

1

, tanh

1

, (

)

7

Abbreviated multiplication format in front of Type B func-
tions: 2

3, Alog2, etc.

8

Permutation and combination: 

n

P

r

n

C

r

9

0

• Operations of the same precedence are performed from

right to left. 

e

x

In

120 

→ 

e

x

{In(

120)}

• Other operations are performed from left to right.
• Operations enclosed in parentheses are performed first.
• When a calculation contains an argument that is

a negative number, the negative number must be
enclosed within parentheses. The negative sign (–) is
treated as a Type B function, so particular care is
required when the calculation includes a high-priority
Type A function, or power or root operations.

Example:

( –2)

4

 = 16

–2

4

 = –16

Содержание FX 300 MS

Страница 1: ...E http world casio com edu fx 82MS fx 83MS fx 85MS fx 270MS fx 300MS fx 350MS User s Guide ...

Страница 2: ...CASIO ELECTRONICS CO LTD Unit 6 1000 North Circular Road London NW2 7JD U K ...

Страница 3: ... as shown in the illustration slide the unit out of the cover After you are finished 2 Holding the cover as shown in the illustration slide the unit out of the cover Always slide the keyboard end of the unit into the cover first Never slide the display end of the unit into the cover 1 2 ...

Страница 4: ...batteries to direct heat or dispose of them by incin eration Misuse of batteries can cause them to leak and dam age nearby items and can create the risk of fire and personal injury Always make sure that the battery s positive k and negative l ends are facing correctly when you load it into the calculator Remove the battery if you do not plan to use the calculator for a long time fx 82MS fx 83MS fx...

Страница 5: ...ry in the calculator The battery that comes with this unit discharges slightly during shipment and storage Because of this it may require replacement sooner than the normal expected battery life Low battery power can cause memory contents to become corrupted or lost completely Always keep written records of all important data Avoid use and storage in areas subjected to tem perature extremes Very l...

Страница 6: ...part Never press the keys of the calculator with a ball point pen or other pointed object Use a soft dry cloth to clean the exterior of the cal culator If the calculator becomes very dirty wipe it off with a cloth moistened in a weak solution of water and a mild neutral household detergent Wring out all excess mois ture before wiping the calculator Never use thinner ben zene or other volatile agen...

Страница 7: ...splay Formats 10 kDecimal Point and Separator Symbols 10 kInitializing the Calculator 11 Basic Calculations 11 kArithmetic Calculations 11 kFraction Operations 11 kPercentage Calculations 13 kDegrees Minutes Seconds Calculations 14 kFIX SCI RND 15 Memory Calculations 16 kAnswer Memory 16 kConsecutive Calculations 16 kIndependent Memory 16 kVariables 17 Scientific Function Calculations 17 kTrigonom...

Страница 8: ... Combination 19 kAngle Unit Conversion 20 kCoordinate Conversion Pol x y Rec r 20 kEngineering Notation Calculations 21 Statistical Calculations 21 Standard Deviation 21 Regression Calculations 24 Technical Information 28 kWhen you have a problem 28 kError Messages 28 kOrder of Operations 30 kStacks 31 kInput Ranges 32 Power Supply 34 Specifications 37 ...

Страница 9: ...displayed every three digits when the integer part of the mantissa has more than three dig its Before getting started k Modes Before starting a calculation you must first enter the cor rect mode as indicated in the table below Pressing the F key more than once displays additional setup screens Setup screens are described in the sec tions of this manual where they are actually used to change the ca...

Страница 10: ...ample takes up only one step You can input up to 79 steps for a single calculation Whenever you input the 73rd step of any calculation the cursor changes from _ to k to let you know memory is running low If you need to input more than 79 steps you should divide your calculation into two or more parts Pressing the g key recalls the last result obtained which you can use in a subsequent calculation ...

Страница 11: ...r replay memory so you can recall the last calculation even after you press t Replay memory capacity is 128 bytes for storage of both expressions and results Replay memory is cleared by any of the following ac tions When you press the 5 key When you initialize modes and settings by pressing A B 2 or 3 When you change from one calculation mode to another When you turn off the calculator k Error Loc...

Страница 12: ...ntial notation is automatically used for integer values with more than 10 digits and decimal values with more than two decimal places uNorm 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 re sults using the Norm 1 format k Decimal Point and ...

Страница 13: ...key to enter the COMP Mode when you want to perform basic calculations COMP F 1 Negative values inside of calculations must be enclosed within parentheses For details see Order of Operations It is not necessary to enclose a negative exponent within parentheses sin 2 34 10 5 S 2 34 e D 5 Example 1 3 5 10 9 1 5 10 8 3 5 e D 9 Example 2 5 9 7 80 5 R 9 7 T You can skip all T operations before k Fracti...

Страница 14: ...values and fraction values Note that conversion can take as long as two seconds to perform 1 2 Example 4 1 6 2 1 1 C 2 1 6 Example 3 2 C 4 2 4 1 2 1 5 2 3 13 15 00 13 15 Example 1 2 C 3 1 C 5 4 11 12 00 Example 2 3 1 4 3 C 1 C 4 1 C 2 C 3 2 3 1 4 11 12 C C 0 500 1 2 00 1 2 00 1 2 Example 2 0 5 Fraction Decimal 1 C 2 2 3 4 00 11 4 00 Example 1 2 75 2 Decimal Fraction 2 75 2 75 C A B 3 4 11 4 ...

Страница 15: ... the setup screen shown below 1 D i s p Display the selection screen 1 Press the number key 1 or 2 that corresponds to the setting you want to use 1 ab c Mixed fraction 2 d c Improper fraction An error occurs if you try to input a mixed fraction while the d c display format is selected k Percentage Calculations Example 1 To calculate 12 of 1500 180 1500 12 A v Example 2 To calculate what percentag...

Страница 16: ... 300 grams are added to a test sample originally weighing 500 grams what is the percentage increase in weight 160 300 500 A v Example 7 What is the percentage change when a value is increased from 40 to 46 How about to 48 15 20 46 40 A v e e e e e e 8 k Degrees Minutes Seconds Calculations You can perform sexagesimal calculations using degrees hours minutes and seconds and convert between sexagesi...

Страница 17: ...i Number of significant digits 3 Norm Exponential display format 400 00 Example 1 200 7 14 200 7 14 F 1 Fix 3 400 00000 FIX Specifies three decimal places 200 7 14 28 57100 400 00000 Internal calculation continues using 12 digits The following performs the same calculation using the specified number of decimal places Press F 3 Norm 1 to clear the Fix specifica tion 28 57100 28 57100 399 99400 200 ...

Страница 18: ...f the opera tion performed by any of the above key operations re sults in an error k Consecutive Calculations You can use the calculation result that is currently on the display and also stored in Answer Memory as the first value of your next calculation Note that pressing an operator key while a result is displayed causes the dis played value to change to Ans indicating it is the value that is cu...

Страница 19: ...de letes the data assigned to variable A Perform the following key operation when you want to clear the values assigned to all of the variables A B 1 Mcl Example 193 2 23 8 4 193 2 28 6 9 193 2 A j 1 23 p 1 28 Scientific Function Calculations Use the F key to enter the COMP Mode when you want to perform scientific function calculations COMP F 1 Certain types of calculations may take a long time to...

Страница 20: ...key 1 2 or 3 that corresponds to the angle unit you want to use 90 radians 100 grads Example 1 sin 63 52 41 0 897859012 q 1 Deg S 63 I 52 I 41 I π 2 Example 3 cos 1 q 2 Rad A V R L 2 2 T g A x 0 25 π rad rad π 4 2 2 Example 2 cos rad 0 5 q 2 Rad W R A x 3 T π 3 Example 4 tan 1 0 741 36 53844577 q 1 Deg A g 0 741 k Hyperbolic Inverse Hyperbolic Functions Example 1 sinh 3 6 18 28545536 M S 3 6 Examp...

Страница 21: ...tive values inside of calculations must be enclosed within parentheses For details see Order of Operations k Square Roots Cube Roots Roots Squares Cubes Reciprocals Factorials Random Numbers π and Permutation Combination Example 1 2 3 5 5 287196909 L 2 L 3 L 5 Example 2 3 5 3 27 1 290024053 A D 5 A D R D 27 T Example 4 123 302 1023 123 30 K Example 5 123 1728 12 N 1 7 Example 3 7 123 123 1 9886477...

Страница 22: ...llowing menu Pressing 1 2 or 3 converts the displayed value to the corresponding angle unit Example To convert 4 25 radians to degrees q 1 Deg 4 25 A v 2 R k Coordinate Conversion Pol x y Rec r θ Calculation results are automatically assigned to vari ables E and F Example 1 To convert polar coordinates r 2 60 to rectangular coordinates x y Deg x 1 A F 2 P 60 T y 1 732050808 0 o Press 0 n to displa...

Страница 23: ...t 0 08125 grams to milligrams 81 25 10 3 0 08125 J mg Statistical Calculations Standard Deviation Use the F key to enter the SD Mode when you want to perform statistical calculations using standard de viation SD F 2 In the SD Mode and REG Mode the key operates as the S key Always start data input with A B 1 Scl to clear statistical memory Input data using the key sequence shown below x data S Inpu...

Страница 24: ...crolling through data shows both the data item and a separate screen for the data frequency Freq To recall this type of value Perform this key operation Σx2 A U 1 Σx A U 2 n A U 3 o A X 1 σn A X 2 σn 1 A X 3 Example To calculate σn 1 σn o n Σx and Σx2 for the following data 55 54 51 55 53 53 54 52 In the SD Mode A B 1 Scl Stat clear 55 S Each time you press S to register your input the number of d...

Страница 25: ...lues you register are normally stored in calcula tor memory 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 1 2 Ed i t OFF ESC Press 2 to exit data input without registering the value you just input Press 1 if you want to register the value you just input withou...

Страница 26: ...f regression you want to use 1 Lin Linear regression 2 Log Logarithmic regression 3 Exp Exponential regression r 1 Pwr Power regression r 2 Inv Inverse regression r 3 Quad Quadratic regression Always start data input with A B 1 Scl to clear statistical memory Input data using the key sequence shown below x data P y data S The values produced by a regression calculation depend on the values input a...

Страница 27: ...icient A A X r r 1 Regression coefficient B A X r r 2 Regression calculation other than quadratic regression Correlation coefficient r A X r r 3 m A X r r r 1 n A X r r r 2 To recall this type of value Perform this key operation Σx3 A U r r 1 Σx2 y A U r r 2 Σx4 A U r r 3 Regression coefficient C A X r r 3 m1 A X r r r 1 m2 A X r r r 2 n A X r r r 3 The values in the above tables can be used insid...

Страница 28: ...ss S to register your input the number of data input up to that point is indicated on the display n value 15 P 1005 S 20 P1010 S 25 P 1011 S 30 P 1014 S Regression Coefficient A 997 4 A X r r 1 Regression Coefficient B 0 56 A X r r 2 Correlation Coefficient r 0 982607368 A X r r 3 Atmospheric Pressure at 5 C 994 6 E D 5 F A X r r r 2 Temperature at 1000 hPa 4 642857143 1000 A X r r r 1 Coefficient...

Страница 29: ...e values for n estimated value of y for xi 16 and m estimated value of x for yi 20 In the REG Mode r 3 Quad A B 1 Scl Stat clear 29 P 1 6 S 50 P 23 5 S 74 P 38 0 S 103 P 46 4 S 118 P 48 0 S Regression Coefficient A 35 59856934 A X r r 1 Regression Coefficient B 1 495939413 A X r r 2 Regression Coefficient C 6 71629667 10 3 A X r r 3 n when xi is 16 13 38291067 16 A X r r r 3 m1 when yi is 20 47 14...

Страница 30: ...nv Quad clear variables A through F X and Y Changing from one regression type to an other inside the REG Mode also clears these variables Technical Information k When you have a problem If calculation results are not what you expect or if an error occurs perform the following steps 1 Press A B 2 Mode to initialize all modes and settings 2 Check the formula you are working with to confirm it is cor...

Страница 31: ...using Stack ERROR Cause The capacity of the numeric stack or operator stack is exceeded Action Simplify the calculation The numeric stack has 10 lev els and the operator stack has 24 levels Divide your calculation into two or more separate parts Syntax ERROR Cause An attempt to perform an illegal mathematical opera tion Action Press e or r to display the calculation with the cur sor located at the...

Страница 32: ...e is entered 3 log In ex 10x sin cos tan sin 1 cos 1 tan 1 sinh cosh tanh sinh 1 cosh 1 tanh 1 7 Abbreviated multiplication format in front of Type B func tions 2 3 Alog2 etc 8 Permutation and combination nPr nCr 9 0 Operations of the same precedence are performed from right to left ex In 120 ex In 120 Other operations are performed from left to right Operations enclosed in parentheses are perform...

Страница 33: ...mand stack according to their precedence during calcu lations The numeric stack has 10 levels and the command stack has 24 levels A stack error Stack ERROR occurs whenever you try to perform a calculation that is so com plex that the capacity of a stack is exceeded Calculations are performed in sequence according to Order of Operations Commands and values are de leted from the stack as the calcula...

Страница 34: ... Same as sinx except when x 2n 1 π 2 GRA Same as sinx except when x 2n 1 100 sin 1 x 0 x 1 cos 1 x tan 1 x 0 x 9 999999999 1099 sinhx 0 x 230 2585092 coshx sinh 1 x 0 x 4 999999999 1099 cosh 1 x 1 x 4 999999999 1099 tanhx 0 x 9 999999999 1099 tanh 1 x 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 1 ...

Страница 35: ...1050 y 1 1050 REG n 1 10100 For a single calculation calculation error is 1 at the 10th digit In the case of exponential display calcula tion error is 1 at the last significant digit Errors are cumulative in the case of consecutive calculations which can also cause them to become large This is also true of internal consecutive calculations that are performed in the case of xy x y x 3 nPr nCr etc I...

Страница 36: ...he 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 u To replace the battery 1 Remove the six screws that hold the back cover in place and then remove the back cover 2 Remove the old batte...

Страница 37: ...peration Replace the battery as soon as possible when display figures become dim To replace the battery 1 Press A i to turn off power 2 Remove the screw that holds the battery cover in place and then remove the battery cover 3 Remove the old battery 4 Wipe off the sides 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 5 Replace the bat...

Страница 38: ...im To replace the battery 1 Press A ito turn power off 2 Remove the six screws that hold the back cover in place and then remove the back cover 3 Remove the old battery 4 Load a new battery into the unit with its positive k and negative l ends facing correctly 5 Replace the back cover and secure it in place with the six screws 6 Press 5 to turn power on Auto Power Off Calculator power automaticall...

Страница 39: ...off fx 83MS fx 270MS fx 350MS Approximately 9 000 hours continuous display of flashing cursor Approximately 3 years when left with power turned off fx 85MS fx 300MS Approximately 3 years 1 hour use per day Dimensions fx 82MS 18 6 H 85 W 156 D mm 3 4 H 33 8 W 61 8 D fx 83MS fx 85MS fx 270MS fx 300MS fx 350MS 12 2 H 85 W 155 D mm 1 2 H 33 8 W 61 8 D Weight fx 82MS 125 g 4 4 oz including battery fx 8...

Страница 40: ...SA0311 C Printed in China CA 310120 001V03 CASIO COMPUTER CO LTD 6 2 Hon machi 1 chome Shibuya ku Tokyo 151 8543 Japan ...

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