background image

E-17

Example 2: 

sin (60) =

(Angle Unit: Deg)

MATH

s

60=

Math

Example 3: 

sin

–1

 (0.5) =      

π

(Angle Unit: Rad)

MATH

1

s

(sin

–1

)

0.5=

Math

• The following are the calculations for which 

'

  form  (form that

includes 

'

  within irrational number display) results can be

displayed.

a. Arithmetic calculations of values with square root symbol (

'

),

x

2

x

3

x

–1

b. Trigonometric function calculations

The following are the input value ranges for which 

'

 form is always

used for display of trigonometric calculation results.

Angle Unit

Input Value Range

Setting

Angle Value Input

for 

'

 Form

Calculation Result

Deg

Units of 15

°

x

 < 9 

×

 10

9

Rad

Multiples of       

π 

radians

x

 < 20

π

Gra

Multiples of        grads

x

 < 10000

Calculation results may be displayed in decimal form for input values
outside of the above ranges.

k

'

 Form Calculation Range

Results that include square root symbols can have up to two terms
(an integer term is also counted as a term).

'

  form  calculation results use display formats like those shown

below.

The following shows the range for each of the coefficients (

a

b

c

d

,

e

f

).

<

 

a

 < 100, 1 < 

b

 < 1000, 1 

<

 

c

 < 100

<

 

d

 

< 100,

 

<

 

e

 

< 1000,

 

<

 

f

 

< 100

1

6

'

3

2

1

12

50

3

±

 

a

'

b

 ,  

±

 

d

 

±

 

a

'

,  

±

 

a

'

b

   

±

  d

'

e

c

f

Summary of Contents for fx-350ES

Page 1: ...http world casio com edu RCA502136 001V01 E fx 82ES fx 83ES fx 85ES fx 300ES fx 350ES User s Guide A ...

Page 2: ...CASIO Europe GmbH Bornbarch 10 22848 Norderstedt Germany ...

Page 3: ...s this text is this color Yellow Press 1 and then the key to access the applicable function Red Press S and then the key to input the applicable variable constant or symbol The following shows an example of how an alternate function operation is represented in this User s Guide Example 1s sin 1 1 Indicates the function that is accessed by the key operation 1s before it Note that this is not part o...

Page 4: ...any kind whatsoever by any other party arising out of the use of this product and the items that come with it k Using the Separate Appendix Whenever you see the symbol Appendix in this manual it means you should refer to the separate Appendix Example numbers like 021 in this User s Guide refer to the corresponding example number in the Appendix Specify the angle unit in accordance with the marks i...

Page 5: ...e battery try to take the battery apart or allow the battery to become shorted Never expose the battery to direct heat or dispose of it by incineration Improperly using a battery can cause it to leak and damage nearby items and can create the risk of fire and personal injury Always make sure that the battery s positive kand negative l ends are facing correctly when you load it into the calculator ...

Page 6: ... might be 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 of the calculator 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 conditions can damage intern...

Page 7: ...culator Press 1A OFF to turn off the calculator k Adjusting Display Contrast 1N SETUP c5 CONT This displays the contrast adjustment screen Use d and e to adjust display contrast After the setting is the way you want press A You can also adjust contrast using d and e while the mode menu which appears when you press N is on the display Important If adjusting display contrast does not improve display...

Page 8: ...o the variable This indicator appears after you press 1t STO RCL The calculator is standing by for input of a variable name to recall the variable s value This indicator appears after you press t STAT The calculator is in the STAT Mode 7 The default angle unit is degrees 8 The default angle unit is radians 9 The default angle unit is grads FIX A fixed number of decimal places is in effect SCI A fi...

Page 9: ...r table based on an TABLE expression Specifying the Calculation Mode 1 Press N to display the mode menu 2 Press the number key that corresponds to the mode you want to select To select the STAT Mode for example press 2 k Configuring the Calculator Setup Pressing 1N SETUP displays the setup menu which you can use to control how the calculations are executed and displayed The setup menu has two scre...

Page 10: ...lay Examples 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 Fix3 14 29 Fix2 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 ...

Page 11: ...his decimal Perform this key operation point display format Dot 1Nc4 Disp 1 Dot Comma 1Nc4 Disp 2 Comma The setting you configure here is applied for calculation results only The decimal point for input values is always a dot k Initializing the Calculation Mode and Other Settings Performing the following procedure initializes the calculation mode and other setup settings as shown below 19 CLR 1 Se...

Page 12: ...o input the argument and the closing parenthesis sin cos tan sin 1 cos 1 tan 1 sinh cosh tanh sinh 1 cosh 1 tanh 1 log ln e 10 3 Abs Pol Rec Rnd Example sin 30 LINE s30 Pressing s inputs sin Note that the input procedure is different if you want to use Math format For more information see Inputting with Math Format Omitting the Multiplication Sign You can omit the multiplication sign in any of the...

Page 13: ... the input cursor appears as a straight vertical I or horizontal flashing line on the display screen When there are 10 or fewer bytes of input remaining in the current expression the cursor changes shape to I to let you know If the I cursor appears terminate the expression at a convenient point and calculate the result k Correcting an Expression This section explains how to correct an expression a...

Page 14: ... insert mode whenever you change the input output format from Linear to Math Changing the Character or FunctionYou Just Input Example To correct the expression 369 13 so it becomes 369 12 LINE 369 13 Y 2 Deleting a Character or Function Example To correct the expression 369 12 so it becomes 369 12 LINE Insert Mode 369 12 dd Y Overwrite Mode 369 12 ddd Y Correcting a Calculation Example To correct ...

Page 15: ...or message like Math ERROR or Syntax ERROR appears when you press press d or e This will display the part of the calculation where the error occurred with the cursor positioned at the error location You can then make necessary corrections Example When you input 14 0 2 by mistake instead of 14 10 2 Use the insert mode for the following operation LINE 14 0 2 Press e or d This is causing the error d1...

Page 16: ...e if you nest too many functions and or parentheses If this happens divide the calculation into multiple parts and calculate each part separately Functions and Symbols Supported for Math Format Input The Bytes column shows the number of bytes of memory that are used up by input Function Symbol Key Operation Bytes Improper Fraction 9 Mixed Fraction 1 13 log a b Logarithm 6 10 x Power of 10 1l 4 e x...

Page 17: ... input expression a value an expression within parentheses etc into a function Example To incorporate the expression inside of the parentheses of 1 2 3 4 into the function MATH Math Move the cursor to here 1Y INS Math This changes the shape of the cursor as shown here Math This incorporates the expression in the parentheses into the function If the cursor is located left of a particular value or f...

Page 18: ...culation results should be displayed in a form that includes expressions like 2 and π irrational number form Pressing after inputting a calculation displays the result using irrational number form Pressing 1 after inputting a calculation displays the result using decimal values Note When LineIO is selected for the input output format calculation results are always displayed using decimal values no...

Page 19: ...ulation results Angle Unit Input Value Range Setting Angle Value Input for Form Calculation Result Deg Units of 15 앚x앚 9 109 Rad Multiples of π radians 앚x앚 20π Gra Multiples of grads 앚x앚 10000 Calculation results may be displayed in decimal form for input values outside of the above ranges k Form Calculation Range Results that include square root symbols can have up to two terms an integer term is...

Page 20: ... d are outside the corresponding ranges of coefficients a c and d Example The result is displayed in decimal form even when any intermediate result has three or more terms Example 1 2 3 1 2 3 4 2 6 8 898979486 If a term is encountered during the calculation cannot be displayed as a root form or a fraction the calculation result is displayed in decimal form Example log3 2 1 891334817 2 3 4 8 3 35 2...

Page 21: ... For more information see Calculation Priority Sequence Number of Decimal Places and Number of Significant Digits You can specify a fixed number of decimal places and significant digits for the calculation result Example 1 6 LINE Initial default setting Norm1 3 decimal places Fix3 FIX 3 significant digits Sci3 SCI For more information see Specifying the Number of Display Digits Omitting a Final Cl...

Page 22: ...the total number of digits used for a mixed fraction including integer numerator denominator and separator symbols is greater than 10 the value is automatically displayed in decimal format The result of a calculation that involves both fraction and decimal values is displayed in decimal format Switching between Improper Fraction and Mixed Fraction Format Pressing the 1f a b c d c key toggles the d...

Page 23: ...0 30 150 100 005 Calculate what percentage of 880 is 660 75 006 Increase 2500 by 15 2875 007 Discount 3500 by 25 2625 008 Discount the sum of 168 98 and 734 by 20 800 009 If 300 grams are added to a test sample originally weighing 500 grams what is the percentage increase in weight 160 010 What is the percentage change when a value is increased from 40 to 46 How about to 48 15 20 k Degree Minute S...

Page 24: ...d Decimal Pressing e while a calculation result is displayed toggles the value between sexagesimal and decimal Appendix 013 Convert 2 255 to its sexagesimal equivalent Using Multi statements in Calculations You can use the colon character to connect two or more expressions and execute them in sequence from left to right when you press Example To create a multi statement that performs the following...

Page 25: ...ion history memory contents are cleared whenever you turn off the calculator press the O key change to the calculation mode or the input output format or perform any reset operation Calculation history memory is limited When the calculation you are performing causes calculation history memory to become full the oldest calculation is deleted automatically to make room for the new calculation Replay...

Page 26: ...nts are updated whenever you execute a calculation using any one of the following keys 1 m 1m M t 1t STO Answer Memory can hold up to 15 digits Answer Memory contents are not change if an error occurs during the current calculation Answer Memory contents are maintained even if you press the A key change the calculation mode or turn off the calculator Using Answer Memory to Perform a Series of Calc...

Page 27: ...lue or result of the expression to m independent memory Subtract the displayed value or result of the expression from 1m M independent memory Recall current independent tm M memory contents You can also insert the M variable into a calculation which tells the calculator to use the current independent memory contents at that location The following is the key operation for inserting the M variable S...

Page 28: ...ents of a variable Example To recall the contents of variable A ty A The following shows how you can include variables inside of an expression Example To multiply the contents of variable A by the contents of variable B Sy A Se B Variable contents are maintained even if you press the A key change the calculation mode or turn off the calculator Appendix 015 Clearing the Contents of a Specific Varia...

Page 29: ...arithm Base e You can input pi π or natural logarithm base e into a calculation The following shows the required key operations and the values this calculator uses for pi π and e π 3 14159265358980 15 π e 2 71828182845904 S5 e k Trigonometric and Inverse Trigonometric Functions The angle unit required by trigonometric and inverse trigonometric functions is one specified as the calculator s default...

Page 30: ...le unit is degrees LINE 15 π 2 1G DRG 2 r 501G DRG 3 g Appendix 018 cos π radians 1 cos 100 grads 0 019 cos 1 1 180 cos 1 1 π k Exponential Functions and Logarithmic Functions For the logarithmic function log you can specify base m using the syntax log m n If you input only a single value a base of 10 is used for the calculation ln is a natural logarithm function with base e You can also use the k...

Page 31: ...yed using the calculator s default angle unit Calculation result r is assigned to variable X while θ is assigned toY Converting to Rectangular Coordinates Rec Rec r θ r Specifies r value of polar coordinate θ Specifies θ value of polar coordinate Input value θ is treated as an angle value in accordance with the calculator s default angle unit setting Calculation result x is assigned to variable X ...

Page 32: ...imal values are converted to 3 digit integer values by multiplying by 1000 Note that the values shown here are examples only Values actually generated by your calculator will be different Permutation nPr and Combination nCr These functions make it possible to perform permutation and combination calculations n and r must be integers in the range of 0 r n 1 1010 Appendix 034 How many four person per...

Page 33: ...le 200 7 14 400 LINE 200 7 14 Specifies three decimal places 1N6 Fix 3 FIX Calculation is performed internally using 15 digits 200 7 FIX 14 FIX The following performs the same calculation with rounding 200 7 FIX Round the value to the specified number of digits 10 Rnd FIX Check rounded result 14 FIX ...

Page 34: ...imal calculation result to one of the forms described below Performing S D transformation again converts back to the original decimal value Note When you transform from decimal form to standard form the calculator automatically decides the standard form to use You cannot specify the standard form Fraction The current fraction display format setting determines whether the result is an improper frac...

Page 35: ...calculations in this section are performed in the STAT Mode N2 Selecting a Statistical Calculation Type In the STAT Mode display the statistical calculation type selection screen k Statistical Calculation Types Key Menu Item Statistical Calculation 1 1 VAR Single variable 2 A BX Linear regression 3 _ CX2 Quadratic regression 4 In X Logarithmic regression 5 e X e exponential regression 6 A B X ab e...

Page 36: ... If you turn on the Statistical Display item on the calculator s setup screen a column labeled FREQ will also be included on the STAT editor screen You can use the FREQ column to specify the frequency the number of times the same sample appears in the group of data of each sample value Rules for Inputting Sample Data on the STAT Editor Screen Data you input is inserted into the cell where the curs...

Page 37: ...ted automatically whenever you change to another mode from the STAT Mode or change the Statistical Display setting which causes the FREQ column to be shown or hidden on the calculator s setup screen Editing Sample Data Replacing the Data in a Cell 1 On the STAT editor screen move the cursor to the cell you want to edit 2 Input the new data value or expression and then press Important Note that you...

Page 38: ...TAT editor screen is on the display k STAT Calculation Screen The STAT calculation screen is for performing statistical calculations with the data you input with the STAT editor screen Pressing the A key while the STAT editor screen is displayed switches to the STAT calculation screen The STAT calculation screen also uses Linear format regardless of the current input output format setting on the c...

Page 39: ...his When you want to do this menu item Display the Reg sub menu of commands for regression calculations 7Reg For details see Commands when Linear Regression Calculation A BX Is Selected and Commands when Quadratic Regression Calculation _ CX2 Is Selected Single variable 1 VAR Statistical Calculation Commands The following are the commands that appear on the sub menus that appear when you select 4 ...

Page 40: ... FREQ data to the following 1 2 1 2 2 2 3 4 2 1 FREQ ON Examples 043 through 045 all use the same data as Example 042 043 Calculate sum of squares of the sample data and sum of the sample data 044 Calculate number of samples mean and population standard deviation 045 Calculate minimum value and maximum value Commands when Linear Regression Calculation A BX Is Selected With linear regression regres...

Page 41: ...data 3xσn Population standard deviation of the X data 4xσn 1 Sample standard deviation of the X data 5p Mean of the Y data 6yσn Population standard deviation of the Y data 7yσn 1 Sample standard deviation of the Y data MinMax Sub menu 11 STAT 6 MinMax Select this When you want to obtain this menu item 1minX Minimum value of the X data 2maxX Maximum value of the X data 3minY Minimum value of the Y ...

Page 42: ...ion coefficient constant term A 2B Linear coefficient B of the regression coefficients 3C Quadratic coefficient C of the regression coefficients 4m1 Estimated value of x1 5m2 Estimated value of x2 6n Estimated value of y Sum sub menu sums Var sub menu number of samples mean standard deviation and MinMax sub menu maximum value minimum value operations are the same those for linear regression calcul...

Page 43: ...tial power and inverse regression FREQ OFF Appendix Other Types of Regression Calculation 061 to 065 Command Usage Tips The commands included in the Reg sub menu can take a long time to execute in logarithmic e exponential ab exponential or power regression calculation when there are a large number of data samples Generating a Number Table from a Function TABLE All calculations in this section are...

Page 44: ...ys the step value input screen Specify the step value For details about specifying the start end and step values see Start End and Step Value Rules 6 After specifying the step value press Pressing the A key returns to the function editor screen k Supported Function Types Except for the X variable other variables A B C D Y and independent memory M are all treated as values the current variable assi...

Page 45: ...the number table being generated Executing a number generation table using a Start End and Step value combination that produces more than 30 x values causes an error Note Certain functions and Start End Step value combinations can cause number table generation to take a long time k Number Table Screen The number table screen shows x values calculated using the specified Start End and Step values a...

Page 46: ...s omitted Multiplication sign omitted immediately before π e variables 2π 5A πA etc functions with parentheses 2 3 Asin 30 etc 8 Addition and subtraction If a calculation contains a negative value you may need to enclose the negative value in parentheses If you want to square the value 2 for example you need to input 2 2 This is because x2 is a function preceded by a value Priority 2 above whose p...

Page 47: ...alculation and calculation precision depends on the type of calculation you are performing Calculation Range and Precision Calculation Range 1 10 99 to 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 c...

Page 48: ...1 x x 1 10100 x G 0 3 x x 1 10100 x 0 x 69 x is an integer nPr 0 n 1 1010 0 r n n r are integers 1 n n r 1 10100 nCr 0 n 1 1010 0 r n n r are integers 1 n r 1 10100 or 1 n n r 1 10100 Pol x y x y 9 999999999 1099 x2 y2 9 999999999 1099 Rec r 0 r 9 999999999 1099 θ Same as sinx a b c 1 10100 0 b c x 1 10100 Decimal Sexagesimal Conversions 0 0 0 x 9999999 59 59 x 0 1 10100 ylogx 100 xy x 0 y 0 x 0 y...

Page 49: ...re the error message appeared You can then re input and re execute the calculation if you want Note that in this case the original calculation will not be retained in calculation history memory 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 particularly when using functions...

Page 50: ...nitializes the calculation mode and clears memory contents For details about initialized settings see Initializing the Calculation Mode and Other Settings under Calculation Modes and Calculator Setup 4 Initialize all modes and settings by performing the following operation 19 CLR 1 Setup Yes Reference k Power Requirements and Battery Replacement fx 85ES fx 300ES Your calculator uses a TWO WAY POWE...

Page 51: ...erform the following key operation O19 CLR 3 All Yes Make sure you perform the above key operation Do not skip it fx 82ES fx 83ES fx 350ES fx 82ES fx 83ES This calculator is powered by a single AAA size battery R03 UM 4 fx 350ES This calculator is powered by a single AAA size battery LR03 AM4 Replacing the Battery Dim figures on the display of the calculator indicate that battery power is low Cont...

Page 52: ... negative l ends facing correctly 5 Replace the back cover and secure it in place with its screws 6 Perform the following key operation O19 CLR 3 All Yes Make sure you perform the above key operation Do not skip it Auto Power Off Your calculator will turn off automatically if you do not perform any operation for about six minutes If this happens press the O key to turn the calculator back on Screw...

Page 53: ...AA size battery LR03 AM4 1 Battery Life Approximately 8 700 hours continuous operation Power Consumption 0 0002 W Operating Temperature 0 C to 40 C Dimensions 13 7 H 80 W 161 D mm 9 16 H 31 8 W 65 16 D Approximate Weight 110 g 3 9 oz including the battery Bundled Items Hard Case fx 85ES fx 300ES Power Requirements Solar Cell Built into the front of the calculator Button Battery LR44 GPA76 1 Batter...

Page 54: ...CASIO COMPUTER CO LTD 6 2 Hon machi 1 chome Shibuya ku Tokyo 151 8543 Japan SA0412 C Printed in China ...

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