# Casio FX-350ES Manual

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## CASIO fx 350ES ( fx 991ES )

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#### 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.

Disposing of the Calculator

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

#### Handling Precautions

Be sure to press the O key before using the calculator for the first time. Even if the calculator is operating normally, replace the battery at least once every three years (LR44 (GPA76)), two years (R03 (UM-4)), or one year (LR03 (AM4)). 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 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 of the calculator 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 be exposed to very high temperatures. Heat can cause discoloration or deformation of the calculators 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 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-fitting clothing 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 ballpoint pen or other pointed object. Use a soft, dry cloth to clean the exterior of the calculator. 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 liquid before wiping the calculator. Never use thinner, benzene or other volatile agents to clean the calculator. Doing so can remove printed markings and can damage the case.

Before Using the Calculator

#### k Removing the Hard Case

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 below.

k Turning Power On and Off

Press O to turn on the calculator. 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 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.

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=

#### Press e or d.

This is causing the error.

You can also exit the error screen by pressing A, which clears the calculation.

k Inputting with Math Format

When inputting with Math format, you can input and display fractions and some functions using the same format as they appear in your textbook.

Certain types of expressions can cause the height of a calculation formula to be greater than one display line. The maximum allowable height of a calculation formula is two display screens (31 dots 2). Further input will become impossible if the height of the calculation you are inputting exceeds the allowable limit. Nesting of functions and parentheses is allowed. Further input will become impossible 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 Improper Fraction Mixed Fraction log(a,b) (Logarithm) 10^x (Power of 10) e^x (Power of e) Square Root Cube Root Square, Cube Reciprocal Power Power Root Absolute Value Parentheses Key Operation ' 1'(() & 1l($) 1i(%) ! 1!(#) w, W E 6 16(") D ( or ) Bytes 1

Math Format Input Examples

The following operations are all performed while Math format is selected. Pay close attention to the location and size of the cursor on the display when you input using Math format. Example 1: To input 23 + 1 MATH

e+1 Example 2: To input 1 + ' + MATH

e+3 Example 3: To input (1 + MATH (1+'2c5e) w*2= When you press = and obtain a calculation result using Math format, part of the expression you input can be cut off as shown in the Example 3 screen shot. If you need to view the entire input expression again, press A and then press e. ) 2= 5

x < x < 20 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.

b e a', d a', a' d' b b c f

The following shows the range for each of the coefficients (a, b, c, d,

#### e, f ).

1 < a < 100, 1 < b < 1000, 1 < c < < d < 100, 0 < e < 1000, 1 < f < 100

#### Example:

2' 4 = 8' 35' 3 = 148.(= 105' 2) 150' 2 = 8.2 (3 2' ) = 6 4' 23 (5 2' ) = 35.(= 115 46' ) 3 10' + 15 3' = 45' + 10' 15 (10' + 3' ) = 290.3 (= 45' + 150' ) ' + ' + ' = ' + 3' 2 ' + ' + ' = 5.' form decimal form ' form decimal form ' form decimal form ' form decimal form

The underlined areas in the above examples indicate what caused decimal form to be used. Reasons why the results of the examples are displayed in decimal form - Value outside of the allowable range - More than two terms in the calculation result Calculation results displayed in ' form are reduced to a common denominator.

a' + d' a' + d' b e b e c f c

c is the least common multiple of c and f. Since calculation results are reduced to a common denominator, they are displayed in ' form even if coefficients (a, c, and d) are outside the corresponding ranges of coefficients (a, c, and d). ' ' 10' + 11' + = Example: 110 The result is displayed in decimal form even when any intermediate result has three or more terms. Example: (1 + ' + ' )(1 ' ' )(= 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 + ' = 1.891334817 2

#### Basic Calculations

(COMP)

This section explains how to perform arithmetic, fraction, percent, and sexagesimal calculations. All calculations in this section are performed in the COMP Mode (N1).

k Arithmetic Calculations

Use the +, -, *, and / keys to perform arithmetic calculations. Example: = 36 LINE 7*8-4*5=

The calculator automatically judges the calculation priority sequence. 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: = LINE Initial default setting (Norm1)

#### 3 decimal places (Fix3)

3 significant digits (Sci3) For more information, see Specifying the Number of Display Digits.

Omitting a Final Closed Parenthesis

You can omit any closed parenthesis ( ) ) immediately preceding operation of the = key at the end of a calculation. This is true only in the case of Linear format.

Example: (2 + 3) (4 1) = 15 LINE (2+3)* (4-1=

#### k Fraction Calculations

How you should input fractions depends on the input/output format that is currently selected.

Improper Fraction Math Format Mixed Fraction

#### ('7c3)

(1'(()2e1c3)

#### Denominator Numerator

Numerator Denominator Integer Part (7'3)

#### (2'1'3)

Under initial default settings, fractions are displayed as improper fractions. Fraction calculation results are always reduced before being displayed. Appendix 7 <#001> + = <#002> 3 + 1 = 4 (Fraction Display Format: ab/c) 3 = (Fraction Display Format: ab/c) If 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 b d Pressing the 1f( a ) key toggles the display fraction c c

between mixed fraction and improper fraction format.

Switching between Fraction and Decimal Format f

The format of the fraction depends on the currently selected fraction display format setting (improper fraction or mixed fraction). You cannot switch from decimal format to mixed fraction format if the total number of digits used in the mixed fraction (including integer, numerator, denominator, and separator symbols) is greater than 10. For details about the f key, see Using S-D Transformation.

#### k Percent Calculations

Inputting a value and pressing 1((%) causes the input value to become a percent. Appendix 2 () <#004> 150 20% = 30 (150 ) 100 <#003> 2% = 0.02 <#005> <#006> <#007> <#008> <#009> Calculate what percentage of 880 is 660. (75%) Increase 2500 by 15%. (2875) Discount 3500 by 25%. (2625) Discount the sum of 168, 98, and 734 by 20%. (800) 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, Second (Sexagesimal) Calculations

You can perform calculations using sexagesimal values, and convert values between sexagesimal and decimal.

Inputting Sexagesimal Values

The following is the syntax for inputting a sexagesimal value. {Degrees}e{Minutes}e{Seconds}e Appendix <#011> Input 2030.

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

#### Sexagesimal Calculations

Performing the following types of sexagesimal calculations produces a sexagesimal result. - Addition or subtraction of two sexagesimal values - Multiplication or division of a sexagesimal value and a decimal value Appendix <#012> 22030 + 3930 = 30000

Converting Values between Sexagesimal and 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 two calculations: 3 + 3 and LINE 3+3SW(:)3*3

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.

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.

Statistical Display Statistic Type Single-variable Paired-variable

OFF (No FREQ column) 80 lines 40 lines

ON (FREQ column) 40 lines 26 lines

The following types of input are not allowed on the STAT editor screen. m, 1m(M) operations Assignment to variables (STO)

Precautions Concerning Sample Data Storage

Sample data you input is deleted 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 calculators 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 =.

Note that you must totally replace the existing data of the cell with new input. You cannot edit parts of the existing data. Deleting a Line (1) On the STAT editor screen, move the cursor to the line you want to delete. (2) Press Y.

Inserting a Line (1) On the STAT editor screen, move the cursor to the line that will be under the line you will insert. (2) Press 11(STAT)3(Edit). (3) Press 1(Ins).

Note that the insert operation will not work if the maximum number of lines allowed for the STAT editor screen are already used. Deleting All STAT Editor Contents (1) Press 11(STAT)3(Edit). (2) Press 2(Del-A). This clears all of the sample data on the STAT editor screen.

Note that you can perform the procedures under Inserting a Line and Deleting All STAT Editor Contents only when the STAT 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 calculators setup screen.

#### 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.

Sum Sub-menu (11(STAT)4(Sum)) Select this menu item: 1x2 2x 3y2 4y 5xy 6x3 7x2y 8x4 Select this menu item: 1n 2o 3xn 4xn1 5p 6yn 7yn1 When you want to obtain this: Sum of squares of the X-data Sum of the X-data Sum of squares of the Y-data Sum of the Y-data Sum of products of the X-data and Y-data Sum of cubes of the X-data Sum of (X-data squares Y-data) Sum of biquadrate of the X-data

Var Sub-menu (11(STAT)5(Var)) When you want to obtain this: Number of samples Mean of the X-data Population standard deviation of the X-data Sample standard deviation of the X-data Mean of the Y-data Population standard deviation of the Y-data Sample standard deviation of the Y-data

MinMax Sub-menu (11(STAT)6(MinMax)) Select this menu item: 1minX 2maxX 3minY 4maxY When you want to obtain this: Minimum value of the X-data Maximum value of the X-data Minimum value of the Y-data Maximum value of the Y-data

Reg Sub-menu (11(STAT)7(Reg)) Select this menu item: 1A 2B 3r 4m 5n When you want to obtain this: Regression coefficient constant term A Regression coefficient B Correlation coefficient r Estimated value of x Estimated value of y

#### Appendix

Linear Regression Calculation: <#047> to <#050>

Examples <#048> through <#050> all use the data input in Example <#047>. *1 Estimated Value (y = 3 m = ?) *2 Estimated Value (x = 2 n = ?)

Commands when Quadratic Regression Calculation (_+CX2) Is Selected

With quadratic regression, regression is performed in accordance with the following model equation.

#### y = A + BX + CX 2

See Appendix <#051> for information about the calculation formula used for each command. Reg Sub-menu (11(STAT)7(Reg)) Select this menu item: 1A 2B 3C 4m1 5m2 6n When you want to obtain this: Regression coefficient constant term A Linear coefficient B of the regression coefficients Quadratic coefficient C of the regression coefficients Estimated value of x1 Estimated value of x2 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 calculations. Appendix Quadratic Regression Calculation: <#052> to <#054>

Examples <#052> through <#054> all use the data input in Example <#047>.

Comments for Other Types of Regression

For details about the calculation formula of the command included in each regression type, refer to the indicated calculation formulas ( Appendix <#055> to <#059>).

Statistical Calculation Type Logarithmic Regression (ln X)

#### Model Equation

Calculation Formula <#055> <#056> <#057> <#058> <#059>

#### y = A + BlnX

y = AeBX y = ABX y = AX

e Exponential Regression (e^X) ab Exponential Regression

(AB^X) Power Regression (AX^B) Inverse Regression (1/X) Appendix

#### y=A+ B X

Comparison of Regression Curves

The following example uses the data input in Example <#047>. <#060> Compare the correlation coefficient for logarithmic, e exponential, ab exponential, power, and inverse regression. (FREQ: OFF) Appendix <#065> Other Types of Regression Calculation: <#061> to

#### 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 performed in the TABLE Mode (N3).

k Configuring a Number Table Generation Function

The procedure below configures the number table generation function with the following settings. 1 Function: f(x) = x2 + 2 Start Value: 1, End Value: 5, Step Value: 1 LINE

#### (1) Press N3(TABLE).

(2) Input the function.

(3) After making sure the function is the way you want, press =. This displays the start value input screen.

Indicates the initial default start value of 1.

If the initial value is not 1, press 1 to specify the initial start value for this example. (4) After specifying the start value, press =. This displays the end value input screen.

Indicates the initial default end value of 5.

Specify the end value. (5) After specifying the end value, press =. This displays the step value input screen.

Indicates the initial default step value of 1.

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 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.

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.

Power Requirements: Solar Cell: Built into the front of the calculator Button Battery: LR44 (GPA76) 1 Battery Life: Approximately 3 years (Based on one hour of operation per day.) Operating Temperature: 0C to 40C Dimensions: 12.2 (H) 80 (W) 161 (D) mm 1/2 (H) 31/8 (W) 65/16 (D) Approximate Weight: 105 g (3.7 oz) including the battery Bundled Items: Hard Case

#### CASIO COMPUTER CO., LTD.

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#### SA0412-C

Printed in China

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

#### User's Guide

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

#### RCA502139-001V01 A

CASIO Europe GmbH Bornbarch 10, 22848 Norderstedt, Germany

MATH LINE / 1,2,+,-,!,A 1 S

#### sin1 D

1 S

1s(sin1)1= 1s 1(Setup) 1 fcde

#### REPLAY

#### <#021> Deg Rad

19(CLR)3(All)=(Yes)

kl fx-82ES/fx-83ES/fx-350ES

O LR44 (GPA 76) R03 (UM-4) LR03 (AM4)

#### O 1A(OFF)

1N(SETUP)c5(]CONT') d e A

#### N d e

31 96 LCD

1 S 1t (STO) t STAT /

RCL STAT 9 FIX SCI Math $` Disp

#### COMP STAT TABLE

(1) N

#### (2) STAT 2

1N(SETUP) c f c

#### f ]CONT'

/ (Math) (Linear) 1N1(MthIO) 1N2(LineIO)

90 = = 1N3(Deg) 1N4(Rad) 1N5(Gra)

Fix = 14.286 (Fix3) 14.29 (Fix2) Sci = 1.(Sci5) 1.(Sci4) Norm Norm1, Norm2 Norm1: 102 >x, x > 1010 Norm2: 109 >x, x > 200 = (Norm1) 0.005 (Norm2) 1N6(Fix)09 1N7(Sci)09 1N8(Norm)1 (Norm1)2(Norm2)

#### 1Nc1(ab/c) 1Nc2(d/c)

STATSTAT FREQ FREQ FREQ 1Nc3(STAT)1(ON) 1Nc3(STAT)2(OFF)

(.) (,) 1Nc4(Disp)1(Dot) 1Nc4(Disp)2(Comma)

19(CLR)1(Setup)=(Yes) / COMP MthlO Deg Norm1 d/c OFF Dot

#### A(Cancel)=

= 2 (5 + 4) 2 (3) = LINE 2(5+4)2*y3=

( ) sin(, cos(, tan(, sin1(, cos1(, tan1(, sinh(, cosh(, tanh(, sinh1(, cosh1(, tanh1(, log(, ln(, e^(, 10^(, '(, 3'(, Abs(, Pol(, Rec(, Rnd( sin 30 = LINE s30)=

#### s sin(

( 2 (5 + 4) 2 sin(30)2 '(3) 20 A2

] 1111 + 2222 + 3333 + 444

#### ]d ' e

99 1s(sin1) I 10 I I

#### I 1Y (INS)

1Y(INS) /

#### LINE 369*13

369 12 LINE 369**12

#### dd Y 369**12

cos(60) sin(60) LINE c60) dddY s c60) dddd s

= d e Math ERROR Syntax ERROR 2 = 2 = LINE 14/0*2=

#### 31 2

/ log(a,b) 10^x10 x e^xe x ' 1'(() & 1l($) 1i(%) ! 1!(#) w, W E 6 16(") D () 1

#### + 1 MATH

e+1 + ' + MATH

e+(1 + MATH (1+'2c5e) w*2= = 3 A e ) 2= 5

#### 1 + (2 + 3) + 4 ' MATH

1Y(INS)

: log(a,b) ' & 16(")

1l($), 1i(%), !, 6, 1!(#), D

#### ' 2

MthIO / ' 2 = 1=

= 1= LineIO / S-D S-D

1' +' = 3' 2 MATH 1 !2e+!8=

#### !2e+!81=

2sin (60) = MATH

#### ' s60= 1 6

3sin1 (0.5) = MATH

#### 1s(sin1)0.5=

' ' a. ' x2x3x1 b. ' Deg Rad Gra 3 '

#### x < x < 20

x < 10000

b e a', d a', a' d' b b c f

a, b, c, d, e, f 1 < a < 100, 1 < b < 1000, 1 < c < < d < 100, 0 < e < 1000, 1 < f < 100

#### '

a' + d' a' + d' b e b e c f c

#### c c f

a, c da, c d' ' + ' = 10' + 11' 110

(1 + ' + ' )(1 ' ' )(= 4 2' ) 6 = 8.898979486 ' log3 + ' = 1.891334817 2

#### (COMP)

COMP N1

+ - * / = 36 LINE 7*8-4*5=

#### = LINE (Norm1)

3 (Fix3)

#### 3 (Sci3)

= ) (2 + 3) (4 1) = 15 LINE (2+3)* (4-1=

7 <#001> + = <#002> 3 + 1 = 4 ab/c 3 = ab/c 2 2

#### 10

b d 1f a c c

#### 10 f S-D

1((%) 2 () <#004> 150 20% = 30 (150 ) 100 <#003> 2% = 0.02 <#005> <#006> 2500 15% <#007> 3500 25% <#008> 20% (75%) (2875) (2625) (800)

<#009> (160%) <#010> 48 (15%, 20%)

{}e{}e{}e <#011> 2030

<#012> 22030 + 3930 = 30000

#### e <#013> 2.255

: = 3 + 3 LINE 3+3SW(:)3*3

#### COMP N1

f LINE 1+1= 2+2= 3+3=

#### O /

A d e d e A <#014>

#### M A,B,C,D,X Y

COMP N1

= 1=m 1 m (M)t1t(STO) 15 A

#### 30 LINE 3*4=

/ Ans

#### 123 + 456 = 579 = 210

LINE 123+456=

#### 789-G=

m 1m(M) tm(M)

#### M M Sm(M) 0 M A

M 23 + 6 ) = = = = 23+9m 53-6m 45*21m(M) 99/3m tm(M)

#### 01t(STO)m M

ABCDXY

3 + 5 A 3+51t(STO)y(A) A ty(A) A B Sy(A)*Se(B)= A <#015>

#### 01t(STO) A01t(STO)y (A)

19(CLR)2(Memory)=(Yes) A Cancel =

#### COMP N1 A

e e

= 3.1415926535898015() e = 2.71828182845904S5(e)

<#016> sin 30 = 0.5, sin10.5 = 30

w <#017> sinh 1 = 1.175201194, cosh= 0

#### 1G(DRG')

= 90, 50 = 45

LINE (15()/2) 1G(DRG')2(r)=

501G(DRG') 3(g)= <#018> cos ( ) = 1, cos (100 ) = 0 <#019> cos1 (1) = 180 cos1 (1) =

log( m log (m, n) 10 ln( e & logmn <#020> & m <#021> <#023> *

X2, X3, X1, X^, '(, 3'(, ^'( ' <#024> <#028>

#### (Rec)

(Pol)

#### COMP STAT

Pol(X, Y) X X Y Y

180 < < 180 r X Y

#### Rec Rec(r, ) r r

x X y Y rX Pol (' ' ) + 5 = 2 + 5 = 7 2, 2 <#029> <#030>

!, Abs(, Ran#, nPr, nCr, Rnd(

<#031> (5 + 3)! = 40320

<#032> Abs (2 7) = 5

#### <#033> 3

nPr nCr

n r 0 < r < n < <#034> ?

Norm1 NormFix Sci 14 = 400 LINE 200/7*14=

#### 1N6(Fix)3

200/7=

#### 10(Rnd)=

<#035> 1,234 <#036> 123

#### S-D D S

S-D S-D

#### n n

d a b c c Ch-31

#### 'f '

S-D MATH '5c6=

f f f <#037> <#038> '

#### (STAT)

STAT N2

#### STAT

1-VAR A+BX _+CX2 In X

#### AB^X AX^B 1/X

STAT STAT STAT STATSTAT11(STAT)2 (Data)

#### STAT STAT

STAT FREQ FREQ

STAT COMP A = 6 123.45 X1 X1

#### 123.45

STAT

#### STAT m, 1m(M) STO

STAT FREQ

#### (1) STAT (2) =

(1) STAT (2) Y (1) STAT (2) 11(STAT)3(Edit) (3) 1(Ins)

STAT STAT (1) 11(STAT)3(Edit) (2) 2(Del-A) STAT

#### STAT STAT

STAT STAT STAT A STAT STAT /

STAT STAT 11(STAT) STAT STAT

1Type 2Data 3Edit 4Sum 5Var 6MinMax Reg A+BX _+CX2 STAT EditSTAT Sum Var MinMax

#### 1-VAR

STAT 4 (Sum) 5(Var)6(MinMax) <#039> Sum11(STAT)4(Sum) 1x2 2x

Var11(STAT)5(Var) 1n 2o 3xn 4xn1

MinMax11(STAT)6(MinMax) 1minX 2maxX

<#040> 1-VAR {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} FREQ: ON <#041> {0, 1, 2, 3, 4, 5, 6, 7, 9, 10} <#042> FREQ {1, 2, 1, 2, 2, 2, 3, 4, 2, 1} FREQ: ON FREQ: ON

<#043><#045><#042> <#043> <#044> <#045>

#### A+BX

y = A + BX

STAT 4 (Sum)5(Var)6(MinMax)7(Reg) <#046> Sum11(STAT)4(Sum) 1x2 2x 3y2 4y 5xy 6x3 7x2 y 8x4 X- X- Y- Y- X-Y- X- X-Y- X-

Var11(STAT)5(Var) 1n 2o 3xn 4xn1 5p 6yn 7yn1 X- X- X- Y- Y- Y-

MinMax11(STAT)6(MinMax) 1minX 2maxX 3minY 4maxY X- X- Y- Y-

Reg11(STAT)7(Reg) 1A 2B 3r 4m 5n A B r

<#047><#050> <#048><#050><#047> * 1 y = 3 m = ? * 2 x = 2 n = ?

#### y = A + BX + CX 2

<#051> Reg 11(STAT)7(Reg) 1A 2B 3C 4m1 5m2 6n A B C

#### x1 x2 y

Sum Var MinMax <#052><#054> <#052><#054><#047>

<#055><#059> ln X <#055> <#056> <#057> <#058> <#059>

#### y = A + Bln X

e e^X ab AB^X

#### AX^B 1/X

y = Ae

#### y = ABX y = AX

y=A+ B X

<#047> <#060> e ab FREQ: OFF <#061><#065>

#### Reg eab

(TABLE)

#### TABLE N3

1 f(x) = x2 + LINE (1) N3(TABLE)

#### (3) =

(4) =

#### (5) =

(6) =

X A B C D Y M X Pol Rec X

#### 30 x 30 x

x x f(x) A

#### TABLE

TABLE/

1. Pol(, Rec( sin(, cos(, tan(, sin1(, cos1(, tan1(, sinh(, cosh(, tanh(, sinh1(, cosh1(, tanh1( log(, ln(, e^(, 10^(, '(, 3'( Abs( Rnd( x2, x3, x1, x!, , , r, g, ^(, x'( % a b/ c () m, n, m1, m2 nPr, nCr , e , 5A, A 2 2' (3), Asin(30) +,

#### 3. 4. 5. 6. 7.

2 (2)2 x 2 2 4 y2w= (y2)w= 22 = 4 (2)2 = 4

7 1/215()= = 1.570796327 1/(215())= 1 (2) = 0.1591549431

#### Stack ERROR

9.

sinx DEG 0 x 9109 RAD 0 x 157079632.7 GRA 0 x 11010 DEG 0 x 9109 cosx RAD 0 x 157079632.7 GRA 0 x 11010

tanx sin1x cos1x tan1x sinhx coshx sinh1x tanhx

DEG sinx x = (2n1)90 RAD sinx x = (2n1)/2 GRA sinx x = (2n1)x x 9.x 230.x 4.x 9.9999999991099

cosh1x 1 x 4.9999999991099 tanh1x 0 x 9.999999999101 logx/lnx 0 x 9.9999999991099 10x 9.9999999991099 x 99.99999999 9.9999999991099 x 230.x x x ; x G 0 x 0 x 69 (x ) 0 n 11010, 0 r n (nr ) 1 {n!/(nr)!} n 11010, 0 r n (nr ) 1 n!/r! n!/(nr)! 110100 x, y 9.9999999991099 '2+y2 9.9999999991099 x 0 r 9.9999999991099 : sinx a, b, c b, c x110100 000 x 99999995959

ex ' x x2 1/x 3' x x! nPr nCr

#### Pol (x, y) Rec (r, )

x0: 110100 ylogx100 x0: y0 m x0: yn, 2n+1 (mn )

#### 110100 ylogx100

y0: x G 0, 1101001/x logy100 y0: x0 2n+1 y0: x2n1, m (m G 0mn )

#### 110100 1/x logy

^(xy), x' 3', x !, nPr, nCr y,

#### de A Math ERROR 0

Stack ERROR Syntax ERROR Insufficient MEMMEM

(1) (2) (3) O (4) 19(CLR) 1(Setup)=(Yes)

#### fx-85ES/fx-300ES

TWO WAY POWER LR44 (GPA76) TWO WAY POWER

1 1A(OFF) 2 k O19(CLR)3(All)=(Yes)

#### fx-82ES/fx-83ES/fx-350ES

fx-82ES/fx-83ES: 4 AAA R03 (UM-4) fx-350ES: 4 AAA LR03 (AM4)

#### R03 (UM-4) LR03 (AM4)

1 1A(OFF) 4 kl O19(CLR)3(All)=(Yes)

#### fx-82ES/fx-83ES

AAAR03 UM- 6,000 17,000 0.0002 W 0C 40C 13.161 110g

#### fx-350ES

AAALR03 AM 8,700 0.0002 W 0C 40C 13.161 110g

LR44GPA3 0C 40C 12.161 105g

#### 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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