fx-82ES fx-83ES fx-85ES fx-300ES fx-350ES

User's Guide

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

RCA502136-001V01 A

CASIO Europe GmbH Bornbarch 10, 22848 Norderstedt, Germany

About this Manual

The MATH mark indicates an example that uses Math format, while the LINE mark indicates Linear format. For details about input/output formats, see Specifying the Input/Output Format. Keycap markings indicate what a key inputs or what function it performs. Example: 1, 2, +, -, !, A, etc. Pressing the 1 or S key followed by a second key performs the alternate function of the second key. The alternate function is indicated by the text printed above the key.

Alternate function

Keycap function
The following shows what the different colors of the alternate function key text mean. If key marking text is this color: Yellow Red It means this: Press 1 and then the key to access the applicable function. 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 Users Guide. Example: 1s(sin1)1= Indicates the function that is accessed by the key operation (1s) before it. Note that this is not part of the actual key operation you perform. The following shows an example of how a key operation to select an on-screen menu item is represented in this Users Guide. Example: 1(Setup) Indicates the menu item that is selected by the number key operation (1) before it. Note that this is not part of the actual key operation you perform.
The cursor key is marked with four arrows, indicating direction, as shown in the illustration nearby. In this Users Guide, cursor key operation is indicated as f, c, d, and e.

REPLAY

The displays and illustrations (such as key markings) shown in this Users Guide and the separate Appendix 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.
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 Users Guide refer to the corresponding example number in the Appendix. Specify the angle unit in accordance with the marks in the Appendix: Deg : Specify Degree for the angle unit. Rad : Specify Radian for the angle unit.
Initializing the Calculator
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. 19(CLR)3(All)=(Yes) For information about calculation modes and setup settings, see Calculation Modes and Calculator Setup. For information about memory, see Using Calculator Memory.

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.

Battery

After removing the battery from the calculator, put it in a safe place where it will not get into the hands of small children and accidentally swallowed. Keep batteries out of the reach of small children. If accidentally swallowed, consult with a physician immediately. Never charge the 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 batterys 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-82ES/fx-83ES/fx-350ES). Use only the type of battery specified for this calculator in this manual.

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 readability, it probably means that battery power is low. Replace the battery.

k About the Display

Your calculator has a 31-dot 96-dot LCD screen. Example:
Input expression Calculation result

k Display Indicators

Sample Display: This indicator:

S STAT

Means this: The keypad has been shifted by pressing the 1 key. The keypad will unshift and this indicator will disappear when you press a key. The alpha input mode has been entered by pressing the S key. The alpha input mode will be exited and this indicator will disappear when you press a key. There is a value stored in independent memory. The calculator is standing by for input of a variable name to assign a value to the variable. This indicator appears after you press 1t(STO). The calculator is standing by for input of a variable name to recall the variables value. This indicator appears after you press t. The calculator is in the STAT Mode. The default angle unit is degrees. The default angle unit is radians. The default angle unit is grads. A fixed number of decimal places is in effect. A fixed number of significant digits is in effect. Math style is selected as the input/output format. Calculation history memory data is available and can be replayed, or there is more data above/below the current screen. The display currently shows an intermediate result of a multi-statement calculation.
RCL STAT 9 FIX SCI Math $`
For a very complex calculation or some other type of calculation that takes a long time to execute, the display may show only the above indicators (without any value) while it performs the calculation internally.
Calculation Modes and Calculator Setup

k Calculation Modes

When you want to perform this type of operation: General calculations Statistical and regression calculations Generation of a number table based on an expression Select this mode: COMP STAT TABLE
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 screens, which you can jump between using c and f. c

To specify this decimal point display format: Dot ( ) Comma ( ) Perform this key operation: 1Nc4(Disp)1(Dot)

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(Setup)=(Yes) This setting: Calculation Mode Input/Output Format Angle Unit Display Digits Fraction Display Format Statistical Display Decimal Point Is initialized to this: COMP MthIO Deg Norm1 d/c OFF Dot
To cancel initialization without doing anything, press A(Cancel) instead of =.
Inputting Expressions and Values
k Inputting a Calculation Expression Using Standard Format
Your calculator lets you input calculation expressions just as they are written. Then simply press the = key to execute it. The calculator automatically judges the calculation priority sequence for addition, subtraction, multiplication, and division, functions, and parentheses. Example: 2 (5 + 4) 2 (3) = LINE 2(5+4)2*y3=
Inputting a Function with Parenthesis
When you input any of the functions shown below, it is automatically input with the open parenthesis ( ( ) character. Next, you need to input the argument and the closing parenthesis ( ) ). sin(, cos(, tan(, sin1(, cos1(, tan1(, sinh(, cosh(, tanh(, sinh1(, cosh1(, tanh1(, 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 following cases. Before an open parentheses ( ( ): 2 (5 + 4), etc. Before a function with parenthesis: 2 sin(30), 2 '(3), etc. Before a variable name, constant, or random number: 20 A, 2 , etc.

Final Closed Parenthesis

You can omit one or more closed parentheses that come at the end of a calculation, immediately before the = key is pressed. For details, see Omitting a Final Closed Parenthesis.
Displaying a Long Expression
The display can show up to 14 characters at a time. Inputting the 15th character causes the expression to shift to the left. At this time, the ] indicator appears to the left of the expression, indicating that it runs off the left side of the screen. Input expression: 1111 + 2222 + 3333 + 444

Displayed portion:

Cursor
When the ] indicator is displayed, you can scroll left and view the hidden part by pressing the d key. This will cause the ' indicator to appear to the right of the expression. At this time, you can use the e key to scroll back.
Number of Input Characters (Bytes)
You can input up to 99 bytes of data for a single expression. Basically, each key operation uses up one byte. A function that requires two key operations to input (like 1s(sin1)) also uses only one byte. Note, however, that when you are inputting functions with Math format, each item you input uses up more than one byte. For more information, see Inputting with Math Format. Normally 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 as you are inputting it. The procedure you should use depends on whether you have insert or overwrite selected as the input mode.
About the Insert and Overwrite Input Modes
With the insert mode, the displayed characters shift to the left to make room when you input a new character. With the overwrite mode, any new character you input replaces the character at the current cursor position. The initial default input mode is insert. You can change to the overwrite mode when you need it. The cursor is a vertical flashing line (I) when the insert mode is selected. The cursor is a horizontal flashing line ( ) when the overwrite mode is selected. The initial default for Linear format input is the insert mode. You can switch to the overwrite mode by pressing 1Y(INS).
With Math format, you can only use the insert mode. Pressing 1Y(INS) when the Math format is selected does not switch to the overwrite mode. See Incorporating a Value into a Function for more information. The calculator automatically changes to the insert mode whenever you change the input/output format from Linear to Math.
Changing the Character or Function You Just Input
Example: To correct the expression so it becomes LINE 369*13 Y 2
Deleting a Character or Function
Example: To correct the expression 369 12 so it becomes LINE Insert Mode: 369**12 dd Y Overwrite Mode: 369**12

Correcting a Calculation

Example: To correct cos(60) so it becomes sin(60) LINE Insert Mode: c60)
dddY s Overwrite Mode: c60) dddd s
Inserting Input into a Calculation
Always use the insert mode for this operation. Use d or e to move the cursor to the location where you want to insert new input, and then input what you want.
k Displaying the Location of an Error
If an error 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 2 = by mistake instead of 2 = Use the insert mode for the following operation. LINE 14/0*2=

Disp indicates this is an intermediate result of a multi-statement.
Using Calculation History Memory and Replay (COMP)
Calculation history memory maintains a record of each calculation expression you input and execute, and its result. You can use calculation history memory in the COMP Mode (N1) only.
Recalling Calculation History Memory Contents
Press f to back-step through calculation history memory contents. Calculation history memory shows both calculation expressions and results. Example: LINE 1+1= 2+2= 3+3=
f Note that calculation 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 Function

While a calculation result is on the display, you can press A and then d or e to edit the expression you used for the previous calculation. If you are using Linear format, you can display the expression by pressing d or e, without pressing A first. Appendix <#014>

Using Calculator Memory

Memory Name Description Calculation results can be added to or subtracted from independent memory. The M display indicator indicates data in independent memory. Six variables named A, B, C, D, X, and Y can be used for storage of individual values. Answer Memory Stores the last calculation result obtained. Independent Memory Variables
This section uses the COMP Mode (N1) to demonstrate how you can use memory.

k Answer Memory (Ans)

Answer Memory Overview
Answer Memory contents 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.

Example: To convert the following values to degrees: radians = 90, 50 grads = The following procedure assumes that the calculators default angle unit is degrees. LINE (15()/2) 1G(DRG')2(r)=

501G(DRG') 3(g)=

Appendix <#018> cos ( radians) = 1, cos (100 grads) = 0 <#019> cos1 (1) = 180 cos1 (1) =
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 & key when inputting an expression with the form of logmn while using Math format. For details, see Appendix <#020>. Note that you must input the base (base m) when using the & key for input. Appendix <#021> to <#023> *1 A base of 10 (common logarithm) is used if no base is specified.
k Power Functions and Power Root Functions
X2, X3, X1, X^, '(, 3'(, ^'( ' Appendix <#024> to <#028>
k Rectangular-Polar Coordinate Conversion
Rectangular Coordinates (Rec)

Polar Coordinates (Pol)

Coordinate conversion can be performed in the COMP and STAT calculation modes. Converting to Polar Coordinates (Pol) Pol(X, Y) X: Specifies the rectangular coordinate X value Y: Specifies the rectangular coordinate Y value Calculation result is displayed in the range of 180 < < 180. Calculation result is displayed using the calculators default angle unit. Calculation result r is assigned to variable X, while is assigned to Y. Converting to Rectangular Coordinates (Rec) Rec(r,) r : Specifies r value of polar coordinate : Specifies value of polar coordinate Input value is treated as an angle value, in accordance with the calculators default angle unit setting. Calculation result x is assigned to variable X, while y is assigned to Y. If you perform coordinate conversion inside of an expression instead of a stand-alone operation, the calculation is performed using only the first value (either the r-value or the X-value) produced by the conversion. Example: Pol (' ' + 5 = 2 + 5 = 7 2, 2) Appendix <#029> to <#030>

k Other Functions

This section explains how to use the functions shown below. !, Abs(, Ran#, nPr, nCr, Rnd(

Factorial (!)

This function obtains the factorials of a value that is zero or a positive integer. Appendix <#031> (5 + 3)! = 40320
Absolute Value Calculation (Abs)
When you are performing a real number calculation, this function simply obtains the absolute value. Appendix <#032> Abs (2 7) = 5

Random Number (Ran#)

This function generates a 3-digit pseudo random number that is less than 1. Appendix <#033> Generate three 3-digit random numbers. The random 3 digit decimal 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 permutations and combinations are possible for a group of 10 people?

Rounding Function (Rnd)

This function rounds the value or the result of the expression in the functions argument to the number of significant digits specified by the number of display digits setting. Display Digits Setting: Norm1 or Norm2 The mantissa is rounded to 10 digits.
Display Digits Setting: Fix or Sci The value is rounded to the specified number of digits. Example: 14 = 400 LINE 200/7*14=
(Specifies three decimal places.) 1N6(Fix)3
(Calculation is performed internally using 15 digits.)

200/7=

The following performs the same calculation with rounding.
(Round the value to the specified number of digits.)

10(Rnd)=

(Check rounded result.)
Transforming Displayed Values
You can use the procedures in this section to transform a displayed value to engineering notation, or to transform between standard form and decimal form.
k Using Engineering Notation
A simple key operation transforms a displayed value to engineering notation. Appendix <#035> Transform the value 1,234 to engineering notation, shifting the decimal point to the right. <#036> Transform the value 123 to engineering notation, shifting the decimal point to the left.
k Using S-D Transformation
You can use S-D transformation to transform a value between its decimal (D) form and its standard (S) form (fraction, ).
Formats Supported for S-D Transformation
S-D transformation can be used to transform a displayed decimal calculation result to one of the forms described below. Performing S-D transformation again converts back to the original decimal value.

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 fraction or mixed fraction. : The following are the forms that are supported. This is true only in the case of Math format. n (n is an integer.) d a b (depending on fraction display format c or c setting) Transformation to a fractional form is limited to inverse trigonometric function results and values that are normally expressed in radians. After obtaining a calculation result in ' form, you can convert it to decimal form by pressing the f key. When the original calculation result is in decimal form, it cannot be converted to ' form.
Examples of S-D Transformation
Note that S-D transformation can take some time to perform. Example: Fraction Decimal MATH '5c6= Each press of the f key toggles between the two forms. f f Appendix <#037> Fraction Decimal <#038> ' Decimal

Statistical Calculation

(STAT)
All 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 1-VAR A+BX _+CX2 In X Statistical Calculation Single-variable Linear regression Quadratic regression Logarithmic regression

AB^X AX^B 1/X

e exponential regression ab exponential regression
Power regression Inverse regression

k Inputting Sample Data

Displaying the STAT Editor Screen
The STAT editor screen appears after you enter the STAT Mode from another mode. Use the STAT menu to select a statistical calculation type. To display the STAT editor screen from another STAT Mode screen, press 11(STAT)2(Data).

STAT Editor Screen

There are two STAT editor screen formats, depending on the type of statistical calculation you selected.

STAT STAT

Single-variable Statistics
Paired-variable Statistics
The first line of the STAT editor screen shows the value for the first sample or the values for their first pair of samples.

FREQ (Frequency) Column

If you turn on the Statistical Display item on the calculators 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 cursor is located. Use the cursor keys to move the cursor between cells.
The values and expressions you can input on the STAT editor screen are the same as those you can input in the COMP Mode with Linear format. Pressing A while inputting data clears your current input. After inputting a value, press =. This registers the value and displays up to six of its digits in the currently selected cell.

k Using the STAT Menu

While the STAT editor screen or STAT calculation screen is on the display, press 11(STAT) to display the STAT menu. The content to the STAT menu depends on whether the currently selected statistical operation type uses a single variable or paired variables.

STAT Menu Items

Common Items Select this menu item: 1Type 2Data 3Edit 4Sum 5Var 6MinMax When you want to do this: Display the statistical calculation type selection screen Display the STAT editor screen Display the Edit sub-menu for editing STAT editor screen contents Display the Sum sub-menu of commands for calculating sums Display the Var sub-menu of commands for calculating the mean, standard deviation, etc. Display the MinMax sub-menu of commands for obtaining maximum and minimum values
Paired-variable Menu Item Select this menu item: When you want to do this: Display the Reg sub-menu of commands for regression calculations 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(Sum), 5(Var), or 6(MinMax) on the STAT menu while a single-variable statistical calculation type is selected. See Appendix <#039> for information about the calculation formula used for each command. Sum Sub-menu (11(STAT)4(Sum)) Select this menu item: 1x2 2x When you want to obtain this: Sum of squares of the sample data Sum of the sample data
Var Sub-menu (11(STAT)5(Var)) Select this menu item: 1n 2o 3xn 4xn1 When you want to obtain this: Number of samples Mean of the sample data Population standard deviation Sample standard deviation
MinMax Sub-menu (11(STAT)6(MinMax)) Select this menu item: 1minX 2maxX Appendix When you want to obtain this: Minimum value Maximum value Single-variable Statistical Calculation
<#040> Select single-variable (1-VAR) and input the following data: {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} (FREQ: ON) <#041> Edit the data to the following, using insert and delete: {0, 1, 2, 3, 4, 5, 6, 7, 9, 10} (FREQ: ON) <#042> Edit the 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.

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 assigned to the variable or stored in independent memory).
Only variable X can be used as the variable of a function. The coordinate conversion (Pol, Rec) functions cannot be used for a number table generation function. Note that the number table generation operation causes the contents of variable X to be changed.
k Start, End, and Step Value Rules
Linear format is always used for value input. You can specify either values or calculation expressions (which must produce a numeric result) for Start, End, and Step. Specifying an End value that is less than the Start value causes an error, so the number table is not generated. The specified Start, End, and Step values should produce a maximum of 30 x-values for 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.
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, as well as the values obtained when each x-value is substituted in the function f(x). Note that you can use the number table screen for viewing values only. Table contents cannot be edited. Pressing the A key returns to the function editor screen.

k TABLE Mode Precautions

Note that changing the input/output format settings (Math format or Linear format) on the calculators setup screen while in the TABLE Mode clears the number table generation function.

Technical Information

k Calculation Priority Sequence
The calculator performs calculations according to a calculation priority sequence. Basically, calculations are performed from left to right. Expressions within parentheses have the highest priority. The following shows the priority sequence for each individual command. 1. Function with parentheses: Pol(, Rec( sin(, cos(, tan(, sin1(, cos1(, tan1(, sinh(, cosh(, tanh(, sinh1(, cosh1(, tanh1( log(, ln(, e^(, 10^(, '(, 3'( Abs( Rnd( 2. Functions preceded by values, powers, power roots: x2, x3, x1, x!, , , r, g, ^(, x'( Percent % 3. Fractions: a b/c 4. Prefix symbol: () (negative sign) 5. Statistical estimated value calculation: m, n, m1, m2 6. Permutations, combinations: nPr, nCr 7. Multiplication and division: , Multiplication where sign is omitted: Multiplication sign omitted immediately before , e, variables (2, 5A, A, 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 priority is greater than the negative sign, which is a prefix symbol (Priority 4). Example: y2w= (y2)w= 22 = 4 (2)2 = 4

Multiplication and division, and multiplication where the sign is omitted are the same priority (Priority 7), so these operations are performed from left to right when both types are mixed in the same calculation. Enclosing an operation within parentheses causes it to be performed first, so the use of parentheses can result in different calculation results. Example: 1/215()= 1/(215())= = 1.(2) = 0.1591549431

k Stack Limitations

This calculator uses memory areas called stacks to temporarily store lower calculation priority sequence values, commands, and functions. The numeric stack has 10 levels and the command stack has 24 levels, as shown in the illustration below.

Numeric Stack 5 4

Command Stack
A Stack ERROR occurs when the calculation you are performing causes the capacity of either stack to be exceeded.
k Calculation Ranges, Number of Digits, and Precision
The calculation range, number of digits used for internal calculation, and calculation precision depends on the type of calculation you are performing. Calculation Range and Precision Calculation Range Number of Digits for Internal Calculation Precision to 9.or digits 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.
Function Calculation Input Ranges and Precision Functions sinx DEG RAD GRA cosx DEG RAD GRA 0 x x 157079632.x x x 157079632.x 11010 Input Range

Functions tanx

DEG RAD GRA
Input Range Same as sinx, except when x= (2n1)90. Same as sinx, except when x= (2n1)/2. Same as sinx, except when x= (2n1)100.
sin1x cos1x tan1x sinhx coshx sinh1x cosh1x tanhx tanh1x logx/lnx 10x
0 x x 9.x 230.x 4.x 4.x 9.x 9.x 9.9999999991099 9.9999999991099 x 99.99999999 9.9999999991099 x 230.x x x ; x G 0 x 0 x 69 (x is an integer) 0 n 11010, 0 r n (n, r are integers) 1 {n!/(nr)!} n 11010, 0 r n (n, r are integers) 1 n!/r! 110100 or 1 n!/(nr)! 110100 x, y 9.9999999991099
ex ' x x2 1/x 3' x x! nPr nCr

Pol(x, y) Rec(r, )

x2+y2 9.9999999991099
0 r 9.9999999991099 : Same as sinx a, b, c b, c x110100 Decimal Sexagesimal Conversions 000 x 99999995959

y ^(x )

x0: 110100 ylogx100 x0: y0 m x0: yn, (m, n are integers) 2n+1 However: 110100 ylogx100 y0: x G 0, 1101001/x logy100 y0: x0 y0: x2n1, 2n+1 (m G 0; m, n are integers) m However: 110100 1/x logy100
Total of integer, numerator, and denominator must be 10 digits or less (including division marks).
Precision is basically the same as that described under Calculation Range and Precision, above. ^(xy), x', 3', x!, nPr, nCr type functions require consecutive internal y calculation, which can cause accumulation of errors that occur with each calculation. Error is cumulative and tends to be large in the vicinity of a functions singular point and inflection point.

k Error Messages

The calculator will display an error message when a result exceeds the calculation range, when you attempt an illegal input, or whenever any other similar problem occurs.
When an error message appears.
The following are general operations you can use when any error message appears. Pressing d or e displays to the calculation expression editing screen you were using before the error message appeared, with the cursor located at the position of the error. For more information, see Displaying the Location of an Error. Pressing A clears the calculation expression you input before 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). The calculation you are performing contains an illegal mathematical operation (such as division by zero). Action Check the input values, reduce the number of digits, and try again. 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 so it does not exceed the capacity of the stack. 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.

Insufficient MEM Error

Cause There is not enough memory to perform your calculation. Action Narrow the table calculation range by changing the Start, End, and Step values, and try again.
k Before assuming malfunction of the calculator.
Perform the following steps whenever an error occurs during a calculation or when calculation results are not what you expected. If one step does not correct the problem, move on to the next step. 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. This will cause the calculator to perform a routine that checks whether calculation functions are operating correctly. If the calculator discovers any abnormality, it automatically initializes 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 POWER system that combines a solar cell with button battery (LR44 (GPA76)). 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

Dim display figures when available lighting is dim or failure of anything to appear on the display immediately when you turn on the calculator indicates that button battery power is low. Note that you will not be able to use the calculator if its button battery is dead. When any of these symptoms occur, replace the button battery. Even if the calculator is operating normally, replace the battery at least once every three years.

Finding means and standard deviations using a typical scientific calculator (Casio fx-83ES or fx-85ES)
The operations required to perform statistical calculations on most scientific calculators are similar, although details vary from one type of machine to another. The instructions below relate to a Casio fx-83ES (and fx-85ES). A similar procedure will apply in the case of many other Casio calculators, while the same general principles are likely to apply in the case of calculators produced by other manufacturers. 1. Get into STAT (statistical) mode and work with a single variable only
This mode is retained until you next change it, even if the calculator is turned off. Data can either be entered as a string of numbers, or as data value, frequency pairs. 2. 3. Enter data in the STAT Editor screen
To enter data as a list of up to 40 data value, frequency pairs, you need to show the frequency column
Note that you can use this display to enter data as a string of up to 40 numbers. If you want to input a string of between 41 and 80 numbers you need to hide the frequency column before you start entering data

1 = 3 2

Clear the statistical memories (
Enter the first data value; press the equals key (
enter the second data value; press the equals key (
. and so on until all the data values have been entered. If you are using the data value, frequency display you will notice that all the frequencies have been set to 1. To change the frequencies, use the arrow keys to highlight the appropriate entry in the frequency column, then enter the frequency; press the equals key ( =
. and so on until all the frequencies have been entered. 6. Exit the STAT Editor screen ( AC
To find n, the mean and the sample standard deviation, display the STAT menu and select VAR ( Shift 1 5

= displays

displays n,

displays s. 8. To find

, display the STAT menu and select SUM

displays

Notes: Re 5: To check data, use the up and down arrows to scroll through the data. To correct errors, use the up, down, left and right arrows to highlight the value to be corrected, input the new value and press = to replace the old value with the new one. DEL
To delete a line, use the up and down arrows to highlight an entry in the line and press
To insert a line, use the up and down arrows to the line that will be under the line you want to insert. Press Shift 1 to insert a line and then enter the data on
that line in the normal way.