fx-82MS fx-83MS fx-85MS fx-270MS fx-300MS fx-350MS

User's Guide

http://world.casio.com/edu/
CASIO ELECTRONICS CO., LTD. Unit 6, 1000 North Circular Road, London NW2 7JD, U.K.
Removing and Replacing the Calculators Cover
Before starting..1 Holding the cover as shown in the illustration, slide the unit out of the cover. After you are finished..2 Holding the cover as shown in the illustration, slide the unit out of the cover. Always slide the keyboard end of the unit into the cover first. Never slide the display end of the unit into the cover.

Safety Precautions

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

Caution

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

Batteries

After removing the 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 batteries, try to take batteries apart, or allow batteries to become shorted. Never expose batteries to direct heat or dispose of them by incineration. Misuse of batteries can cause them to leak 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-82MS/fx-83MS/fx270MS/fx-350MS). 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. The displays and illustrations (such as key markings) shown in this Users Guide are for illustrative purposes only, and may differ somewhat from the actual items they represent. E-2
The contents of this manual are subject to change without notice. In no event shall CASIO Computer Co., Ltd. be liable to anyone for special, collateral, incidental, or consequential damages in connection with or arising out of the purchase or use of these materials. Moreover, CASIO Computer Co., Ltd. shall not be liable for any claim of any kind whatsoever against the use of these materials by any other party.

Handling Precautions

Be sure to press the 5 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 for the fx83MS/fx-85MS/fx-270MS/fx-300MS/fx-350MS, or at least once every two years for the fx-82MS. 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 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 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. E-3

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 moisture 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.

Contents

Removing and Replacing the Calculators Cover.. 1 Safety Precautions.. 2 Handling Precautions.. 3 Two-line Display.. 7 Before getting started.. 7
kModes... 7 kInput Capacity... 8 kMaking Corrections During Input.. 8 kReplay Function... 9 kError Locator... 9 kMulti-statements.. 9 kExponential Display Formats. 10 kDecimal Point and Separator Symbols. 10 kInitializing the Calculator.. 11

Basic Calculations.. 11

kArithmetic Calculations... 11 kFraction Operations... 11 kPercentage Calculations.. 13 kDegrees, Minutes, Seconds Calculations. 14 kFIX, SCI, RND... 15

Memory Calculations.. 16

kAnswer Memory... kConsecutive Calculations. kIndependent Memory.. kVariables.. 16 17
Scientific Function Calculations.. 17
kTrigonometric/Inverse Trigonometric Functions. 18 kHyperbolic/Inverse Hyperbolic Functions. 18 E-5
kCommon and Natural Logarithms/ Antilogarithms.. 19 kSquare Roots, Cube Roots, Roots, Squares, Cubes, Reciprocals, Factorials, Random Numbers, , and Permutation/Combination.. 19 kAngle Unit Conversion... 20 kCoordinate Conversion (Pol (x, y), Rec (r, )).. 20 kEngineering Notation Calculations.. 21
Statistical Calculations.. 21
Standard Deviation.. 21 Regression Calculations.. 24
Technical Information.. 28
kWhen you have a problem.. kError Messages... kOrder of Operations.. kStacks... kInput Ranges.. 32
Power Supply.. 34 Specifications.. 37

Two-line Display

The two-line display makes it possible to view both the calculation formula and its result at the same time.
The upper line shows the calculation formula. The lower line shows the result. A separator symbol is displayed every three digits when the integer part of the mantissa has more than three digits.

Before getting started.

k Modes
Before starting a calculation, you must first enter the correct mode as indicated in the table below. To perform this type of calculation: Basic arithmetic calculations Standard deviation Regression calculations Perform this To enter key operation: this mode:

F1 F2 F3

COMP SD REG
Pressing the F key more than once displays additional setup screens. Setup screens are described in the sections of this manual where they are actually used to change the calculator setup. In this manual, the name of the mode you need to enter in order to perform the calculations being described is indicated in the main title of each section. Example:

Statistical Calculations

SD REG
To return the calculation mode and setup to the initial defaults shown below, press A B 2(Mode) =. Calculation Mode: Angle Unit: Exponential Display Format: Fraction Display Format: Decimal Point Character: COMP Deg Norm 1 a b/c Dot
Mode indicators appear in the upper part of the display. Be sure to check the current calculation mode (SD, REG, COMP) and angle unit setting (Deg, Rad, Gra) before beginning a calculation.

k Input Capacity

The memory area used for calculation input can hold 79 steps. One step is taken up each time you press a number key or arithmetic operator key ( +, ,, -, \ ). A A or p key operation does not take up a step, so inputting A D, for example, takes up only one step. You can input up to 79 steps for a single calculation. Whenever you input the 73rd step of any calculation, the cursor changes from _ to k to let you know memory is running low. If you need to input more than 79 steps, you should divide your calculation into two or more parts. Pressing the g key recalls the last result obtained, which you can use in a subsequent calculation. See Answer Memory for more information about using the g key.
k Making Corrections During Input
Use e and r to move the cursor to the location you want. Press [ to delete the number or function at the current cursor position. Press A K to change to an insert cursor t. Inputting something while the insert cursor is on the display inserts the input at the insert cursor position. Pressing A K, or = returns to the normal cursor from the insert cursor.

k Replay Function

Every time you perform a calculation, the replay function stores the calculation formula and its result in replay memory. Pressing the [ key displays the formula and result of the calculation you last performed. Pressing [ again back steps sequentially (new-to-old) through past calculations. Pressing the e or r key while a replay memory calculation is on the display changes to the editing screen. Pressing the e or r key immediately after you finish a calculation displays the editing screen for that calculation. Pressing t does not clear replay memory, so you can recall the last calculation even after you press t. Replay memory capacity is 128 bytes for storage of both expressions and results. Replay memory is cleared by any of the following actions. When you press the 5 key When you initialize modes and settings by pressing A B 2(or 3) = When you change from one calculation mode to another When you turn off the calculator.

k Error Locator

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

k Multi-statements

A multi-statement is an expression that is made up of two or more smaller expressions, which are joined using a colon ( : ). Example: To add 2 + 3 and then multiply the result by 4 2+3p\g-4=
k Exponential Display Formats
This calculator can display up to 10 digits. Larger values are automatically displayed using exponential notation. In the case of decimal values, you can select between two formats that determine at what point exponential notation is used. To change the exponential display format, press the F key a number of times until you reach the exponential display format setup screen shown below.

F i x Sc i No r m

Press 3. On the format selection screen that appears, press 1 to select Norm 1 or 2 for Norm 2.

u Norm 1

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

u Norm 2

With Norm 2, exponential notation is automatically used for integer values with more than 10 digits and decimal values with more than nine decimal places. All of the examples in this manual show calculation results using the Norm 1 format.
k Decimal Point and Separator Symbols
You can use the display setup (Disp) screen to specify the symbols you want for the decimal point and 3-digit separator. To change the decimal point and separator symbol setting, press the F key a number of times until you reach the setup screen shown below.
Display the selection screen.
Press the number key ( 1 or 2) that corresponds to the setting you want to use.
1(Dot): Period decimal point, comma separator 2(Comma): Comma decimal point, period separator
k Initializing the Calculator
Perform the following key operation when you want to initialize the calculation mode and setup, and clear replay memory and variables.

A B 3(All) =

Basic Calculations
k Arithmetic Calculations
Use the F key to enter the COMP Mode when you want to perform basic calculations. COMP... F 1 Negative values inside of calculations must be enclosed within parentheses. For details, see Order of Operations. It is not necessary to enclose a negative exponent within parentheses. sin 2.S 2.34 e D 5 Example 1: 3(5109) 1.5108 3-5eD9= Example 2: 5(97) 80 5-R9+7T= You can skip all T operations before =.

k Fraction Operations

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

Press the number key ( 1, 2, or 3) that corresponds to the setup item you want to change.
1 (Fix): Number of decimal places 2 (Sci): Number of significant digits 3 (Norm): Exponential display format

Example 1: \ 7 - 14 =

(Specifies three decimal places.)

400.00

F.. 1(Fix) 3

200 \ 7 =

400.00000 28.57100 400.00000
(Internal calculation continues using 12 digits.)

- 14 =

The following performs the same calculation using the specified number of decimal places. 200 \ 7 =

(Internal rounding)

28.57100 28.57100 399.99400

AQ - 14 =

Press F.. 3(Norm) 1 to clear the Fix specification. Example 2: 1 3, displaying result with two significant digits (Sci 2)

F.. 2(Sci) \ 3 =

Press F.. 3(Norm) 1 to clear the Sci specification. E-15

Memory Calculations

Use the F key to enter the COMP Mode when you want to perform a calculation using memory. COMP... F 1

k Answer Memory

Whenever you press = after inputting values or an expression, the calculated result automatically updates Answer Memory contents by storing the result. In addition to =, Answer Memory contents are also updated with result whenever you press A v, |, A {, or A j followed by a letter (A through F, or M, X, or Y). You can recall Answer Memory contents by pressing g. Answer Memory can store up to 12 digits for the mantissa and two digits for the exponent. Answer Memory contents are not updated if the operation performed by any of the above key operations results in an error.
k Consecutive Calculations
You can use the calculation result that is currently on the display (and also stored in Answer Memory) as the first value of your next calculation. Note that pressing an operator key while a result is displayed causes the displayed value to change to Ans, indicating it is the value that is currently stored in Answer Memory. The result of a calculation can also be used with a subsequent Type A function (x2, x3, x1, x!, DRG'), +, , ^(xy), x , , , nPr and nCr.

k Independent Memory

Values can be input directly into memory, added to memory, or subtracted from memory. Independent memory is convenient for calculating cumulative totals. Independent memory uses the same memory area as variable M. To clear independent memory (M), input 0 A j 3 (M+). E-16
Example: ) 90 (Total) 23 + 9 A j 3 (M+) 53 , 6 | 45 - 2 A {

k Variables

There are nine variables (A through F, M, X and Y), which can be used to store data, constants, results, and other values. Use the following operation to delete data assigned to a particular variable: 0 A j 1. This operation deletes the data assigned to variable A. Perform the following key operation when you want to clear the values assigned to all of the variables.

A B 1(Mcl) =

Example: 193.8.4 193.6.9 193.2 A j 1 \ 23 =

p 1 \ 28 =

Scientific Function Calculations
Use the F key to enter the COMP Mode when you want to perform scientific function calculations. COMP... F 1 Certain types of calculations may take a long time to complete. Wait for the result to appear on the display before starting the next calculation. = 3.14159265359
k Trigonometric/Inverse Trigonometric Functions
To change the default angle unit (degrees, radians, grads), press the F key a number of times until you reach the angle unit setup screen shown below.

Deg Rad G r a

Press the number key ( 1, 2, or 3 ) that corresponds to the angle unit you want to use. (90 =

radians = 100 grads)

Example 1: sin 6352o41 0.897859012
q.. 1 (Deg) S 63 I 52 I 41 I =

Example 2: cos

rad 0.5 3

q.. 2 (Rad) WRAx\3T=

Example 3 : cos1
2 (rad) 0.25 (rad) 2 4.. 2 (Rad) q

AVRL2\2T=g\Ax=

Example 4: tan1 0.741 36.53844577

q.. 1 (Deg) A g 0.741 =

k Hyperbolic/Inverse Hyperbolic Functions
Example 1: sinh 3.6 18.28545536 Example 2: sinh

M S 3.6 = M A j 30 =

30 4.094622224
k Common and Natural Logarithms/ Antilogarithms
Example 1: log 1.23 0.089905111
R 1.23 = T 90 = TpP= A U 10 = A Q 1.5 =
Example 2: In 90 (= loge 90) = 4.49980967 ln e 1 Example 3: e10 22026.46579 Example 4: 10 31.6227766
Example 5: 23 0.125 Example 6: (2)4 16

RD2TW4=

Negative values inside of calculations must be enclosed within parentheses. For details, see Order of Operations.
k Square Roots, Cube Roots, Roots, Squares, Cubes, Reciprocals, Factorials, Random Numbers, , and Permutation/Combination

5 5.287196909

L2+L3-L5=

Example 2: 1.290024053

A D 5 + A D R D 27 T =

Example 3:

123 ( = ) 1.A H 123 =

Example 4: 1023

123 + 30 K = 12 N =
Example 5: 1 Example 6: 4 Example 7: 8! 40320

R3a,4aTa=

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

Example 9: 3 9.424777961

0.66400
(The above value is a sample only. Results differ each time.)
Example 10: To determine how many different 4-digit values can be produced using the numbers 1 through 7 Numbers cannot be duplicated within the same 4-digit (840) value (1234 is allowed, but 1123 is not). 7Am4= Example 11: To determine how many different 4-member groups can be organized in a group of 10 individuals (210) 10 n 4 =

k Angle Unit Conversion

Press A v to display the following menu.
Pressing 1, 2, or 3 converts the displayed value to the corresponding angle unit. Example: To convert 4.25 radians to degrees
q.. 1(Deg) 4. 25 r 4.25 A v 2(R) = 243.5070629
k Coordinate Conversion (Pol (x, y), Rec (r, ))
Calculation results are automatically assigned to variables E and F. Example 1: To convert polar coordinates (r2, 60) to rectangular coordinates (x, y) (Deg) x1 y 1.732050808

A F 2 P 60 T = 0o

Press 0 n to display the value of x, or 0 o to display the value of y. E-20
Example 2: To convert rectangular coordinates (1, 3) to polar coordinates (r,) (Rad) r2

1.047197551

f1P L3T= 0o
Press 0 n to display the value of r, or 0 o to display the value of.
k Engineering Notation Calculations
Example 1: To convert 56,088 meters to kilometers 56.3 (km) 81.3 (mg) 56088 = J
Example 2: To convert 0.08125 grams to milligrams 0.08125 = J

Standard Deviation

SD REG SD
Use the F key to enter the SD Mode when you want to perform statistical calculations using standard deviation. SD.. F 2 In the SD Mode and REG Mode, the | key operates as the S key. Always start data input with A B 1 (Scl) = to clear statistical memory. Input data using the key sequence shown below. <x-data> S Input data is used to calculate values for n, x, x2, o, n and n-1, which you can recall using the key operations noted nearby.
To recall this type of value:
Perform this key operation:

x2 x n o n n-1

AU1 AU2 AU3 AX1 AX2 AX3

Example: To calculate n1, n, o, n, x, and x2 for the following data : 55, 54, 51, 55, 53, 53, 54, 52 In the SD Mode: A B 1 (Scl) = (Stat clear) 55 S
Each time you press S to register your input, the number of data input up to that point is indicated on the display (n value).
54 S 51 S 55 S 53 S S 54 S 52 S
Sample Standard Deviation (n1) = 1.407885953 Population Standard Deviation (n) = 1.316956719 Arithmetic Mean (o) = 53.375 Number of Data (n) = 8 Sum of Values (x) = 427 Sum of Squares of Values (x2 ) = 22805
AX3= AX2= AX1= AU3= AU2= AU1=
Data Input Precautions S S inputs the same data twice.
You can also input multiple entries of the same data using A G. To input the data 110 ten times, for example, press 110 A G 10 S. You can perform the above key operations in any order, and not necessarily that shown above. While inputting data or after inputting data is complete, you can use the [ and ] keys to scroll through data you have input. If you input multiple entries of the same data using A G to specify the data frequency (number of data items) as described above, scrolling through data shows both the data item and a separate screen for the data frequency (Freq). E-22
You can then edit the displayed data, if you want. Input the new value and then press the = key to replace the old value with the new one. This also means that if you want to perform some other operation (calculation, recall of statistical calculation results, etc.), you should always press the t key first to exit data display. Pressing the S key instead of = after changing a value on the display registers the value you input as a new data item, and leaves the old value as it is. You can delete a data value displayed using [ and ] by pressing A U. Deleting a data value causes all values following it to be shifted up. Data values you register are normally stored in calculator memory. The message Data Full appears and you will not be able to input any more data if there is no memory left for data storage. If this happens, press the = key to display the screen shown below.

Ed i t OFF ESC

Press 2 to exit data input without registering the value you just input. Press 1 if you want to register the value you just input, without saving it in memory. If you do this, however, you will not be able to display or edit any of the data you have input. To delete data you have just input, press A U. After inputting statistical data in the SD Mode or REG Mode, you will be unable to display or edit individual data items any longer after perform either the following operations. Changing to another mode Changing the regression type (Lin, Log, Exp, Pwr, Inv, Quad)

Regression Calculations

Use the F key to enter the REG Mode when you want to perform statistical calculations using regression. REG... F 3 In the SD Mode and REG Mode, the | key operates as the S key. Entering the REG Mode displays screens like the ones shown below.

L i n Log Ex p

I nv Quad
Press the number key ( 1, 2, or 3) that corresponds to the type of regression you want to use. 1 (Lin) : Linear regression 2 (Log) : Logarithmic regression 3 (Exp) : Exponential regression r 1 (Pwr) : Power regression r 2 (Inv) : Inverse regression r 3 (Quad) : Quadratic regression Always start data input with A B 1 (Scl) = to clear statistical memory. Input data using the key sequence shown below. <x-data> P <y-data> S The values produced by a regression calculation depend on the values input, and results can be recalled using the key operations shown in the table below.
x2 x n y2 y xy o xn xn-1 p yn yn-1
Regression coefficient A Regression coefficient B Regression calculation other than quadratic regression Correlation coefficient r
AU1 AU2 AU3 AUr1 AUr2 AUr3 AX1 AX2 AX3 AXr1 AXr2 AXr3 AXrr1 AXrr2

AXrr3 AXrrr1 AXrrr2

The following table shows the key operations you should use to recall results in the case of quadratic regression.
To recall this type of value: Perform this key operation:

x3 x2y x4

Regression coefficient C

m1 m2 n

AUrr1 AUrr2 AUrr3 AXrr3 AXrrr1 AXrrr2 AXrrr3
The values in the above tables can be used inside of expressions the same way you use variables.

u Linear Regression

The regression formula for linear regression is: y = A + Bx. E-25
Example: Atmospheric Pressure vs. Temperature Temperature Atmospheric Perform linear regression to dePressure termine the regression formula 10C 1003 hPa terms and correlation coefficient 15C 1005 hPa for the data nearby. Next, use 20C 1010 hPa the regression formula to esti25C 1011 hPa mate atmospheric pressure at 30C 1014 hPa 5C and temperature at 1000 hPa. Finally, calculate the coefficient of determination ( r 2 ) and sample covariance. In the REG Mode:
1(Lin) A B 1 (Scl) = (Stat clear)

10 P1003 S

15 P 1005 S 20 P1010 S 25 P 1011 S 30 P 1014 S
Regression Coefficient A = 997.4 Regression Coefficient B = 0.56 Correlation Coefficient r = 0.982607368 Atmospheric Pressure at 5C = 994.6

Technical Information

k When you have a problem.
If calculation results are not what you expect or if an error occurs, perform the following steps. 1. Press A B 2(Mode) = to initialize all modes and settings. 2. Check the formula you are working with to confirm it is correct. 3. Enter the correct mode and try performing the calculation again. If the above steps do not correct the problem, press the 5 key. The calculator performs a self-check operation and deletes all data stored in memory if any abnormality is detected. Make sure you always keep written copies of all important data.

k Error Messages

The calculator is locked up while an error message is on the display. Press t to clear the error, or press e or r to display the calculation and correct the problem. See Error Locator for details. E-28

Math ERROR

Causes Calculation result is outside the allowable calculation range. An attempt to perform a function calculation using a value that exceeds the allowable input range. An attempt to perform an illogical operation (division by zero, etc.) Action Check your input values and make sure they are all within the allowable ranges. Pay special attention to values in any memory areas you are using.

Stack ERROR

Cause The capacity of the numeric stack or operator stack is exceeded. Action Simplify the calculation. The numeric stack has 10 levels and the operator stack has 24 levels. Divide your calculation into two or more separate parts.

Syntax ERROR

Cause An attempt to perform an illegal mathematical operation. Action Press e or r to display the calculation with the cursor located at the location of the error and make required corrections.

Arg ERROR

Cause Improper use of an argument Action Press e or r to display the location of the cause of the error and make required corrections.

k Order of Operations

Calculations are performed in the following order of precedence. 1 Coordinate transformation: Pol (x, y), Rec (r, ) 2 Type A functions: With these functions, the value is entered and then the function key is pressed. x3, x2, x1, x!, m, m1, m2, n Angle unit conversions (DRG') 3 Powers and roots: ^ (xy), x 4 a b/c 5 Abbreviated multiplication format in front of , e (natural logarithm base), memory name, or variable name: 2, 3e, 5A, A, etc. 6 Type B functions: With these functions, the function key is pressed and then the value is entered. 3 , , log, In, ex, 10x, sin, cos, tan, sin1, cos1, tan1, sinh, cosh, tanh, sinh1, cosh1, tanh1, () 7 Abbreviated multiplication format in front of Type B functions: 2 3, Alog2, etc. 8 Permutation and combination: nPr, nCr 9 , 0 , Operations of the same precedence are performed from 120 ex{In( 120)} right to left. exIn Other operations are performed from left to right. Operations enclosed in parentheses are performed first. When a calculation contains an argument that is a negative number, the negative number must be enclosed within parentheses. The negative sign () is treated as a Type B function, so particular care is required when the calculation includes a high-priority Type A function, or power or root operations. Example: ( 2)4 = = 16

k Stacks

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

Numeric Stack 5 4

Command Stack
Calculations are performed in sequence according to Order of Operations. Commands and values are deleted from the stack as the calculation is performed.

k Input Ranges

Internal digits: 12 Accuracy*: As a rule, accuracy is 1 at the 10th digit. Functions sinx Input Range DEG 0 x 4.4999999991010 RAD 0 x 785398163.3 GRA 0 x 4.9999999991010 cosx DEG 0 x 4.5000000081010 RAD 0 x 785398164.9 GRA 0 x 5.0000000091010 tanx DEG Same as sinx, except when x= (2n-1)90. RAD Same as sinx, except when x= (2n-1)/2. GRA Same as sinx, except when x= (2n-1)100. sin1x cos1x tan1x sinhx coshx 0 x x 9.x 230.2585092
sinh1x 0 x 4.9999999991099 cosh1x 1 x 4.9999999991099 tanhx

0 x 9.9999999991099

tanh x 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 is an integer) 0 n 11010, 0 r n (n, r are integers) 1 {n!/(nr)!} 110100 E-32

ex x x2 1/x 3 x x!

Functions
Input Range 0 n 11010, 0 r n (n, r are integers) 1 [n!/{r!(nr)!}] 110100
49 Pol(x, y) x, y 9.99999999910 (x2+y2) 9.Rec(r, ) 0 r 9.99999999910 : Same as sinx a, b, c 110100 0 b, c x110100 Decimal Sexagesimal Conversions 000 x 99999959 x0: 110100ylogx100 ^(xy) x0: yx0: yn, 2n+1 (n is an integer) However: 110100 ylogx100

y0: x G 0

1101001/x logy100 y0: xy0: x2n1, n (n G 0; n is an integer) However: 110100 1/x logy100 Total of integer, numerator, and denominator must be 10 digits or less (including division marks). x 11050 y 11050 n 110100

SD (REG)

xn, yn, o, p : n G 0 xn1, yn1, A, B, r : n G 0, 1
* For a single calculation, calculation error is 1 at the 10th digit. (In the case of exponential display, calculation error is 1 at the last significant digit.) Errors are cumulative in the case of consecutive calculations, which can also cause them to become large. (This is also true of internal consecutive calculations that are performed 3 x , nPr, nCr, etc.) in the case of ^(x y), y , x!, In the vicinity of a functions singular point and point of inflection, errors are cumulative and may become large. E-33

1 Press A i to turn power off. Screw 2 Remove the six screws that hold the back cover in place and then remove the back cover. 3 Remove the old battery. 4 Load a new battery into the unit with its positive k and negative l ends facing correctly. 5 Replace the back cover and secure it in place with the six screws. 6 Press 5 to turn power on.

Auto Power Off

Calculator power automatically turns off if you do not perform any operation for about six minutes. When this happens, press 5 to turn power back on.

Specifications

Power Supply: fx-82MS: Single AA-size battery (R6P (SUM-3)) fx-83MS/fx-270MS/fx-350MS: Single G13 Type button battery (LR44) fx-85MS/fx-300MS: Solar cell and a single G13 Type button battery (LR44) Battery Life: fx-82MS: Approximately 17,000 hours continuous display of flashing cursor. Approximately 2 years when left with power turned off. fx-83MS/fx-270MS/fx-350MS: Approximately 9,000 hours continuous display of flashing cursor. Approximately 3 years when left with power turned off. fx-85MS/fx-300MS: Approximately 3 years (1 hour use per day). Dimensions: fx-82MS: 18.6 (H) 85 (W) 156 (D) mm 3/4 (H) 3 3/8 (W) 6 1/8 (D) fx-83MS/fx-85MS/fx-270MS/fx-300MS/fx-350MS: 12.2 (H) 85 (W) 155 (D) mm 1/2 (H) 3 3/8 (W) 6 1/8 (D) Weight: fx-82MS: 125 g (4.4 oz) including battery fx-83MS/fx-85MS/fx-270MS/fx-300MS/fx-350MS: 100 g (3.5 oz) including battery Power Consumption: 0.0002 W Operating Temperature: 0C to 40C (32F to 104F)

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User's Guide

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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.
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.
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

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=

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

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

Function Calculations

This section explains how to use the calculators built-in functions. The functions available to you depends on the calculation mode you are in. The explanations in this section are mainly about the functions that are available in all calculation modes. All of the examples in this section show operation in the COMP Mode (N1). Certain function calculations may take some time to display calculation results. Before performing an operation, be sure to wait until execution of the current operation is complete. You can interrupt an ongoing operation by pressing A.
k Pi () and Natural Logarithm Base e
You can input pi () or natural logarithm base e into a calculation. The following shows the required key operations and the values this calculator uses for pi () and e. = 3.14159265358980 (15()) 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 calculators default angle unit. Before performing a calculation, be sure to specify the default angle unit you want to use. See Specifying the Default Angle Unit for more information. Appendix <#016> sin 30 = 0.5, sin10.5 = 30
k Hyperbolic and Inverse Hyperbolic Functions
Pressing the w key displays a menu of functions. Press the number key that corresponds to the function you want to input. Appendix <#017> sinh 1 = 1.175201194, cosh= 0
k Converting an Input Value to the Calculators Default Angle Unit
After inputting a value, press 1G(DRG') to display the angle unit specification menu shown below. Press the number key that corresponds to the angle unit of the input value. The calculator will automatically convert it to the calculators default angle unit.
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.

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.
Commands when Linear Regression Calculation (A+BX) Is Selected
With linear regression, regression is performed in accordance with the following model equation.

y = A + BX

The following are the commands that appear on the sub-menus that appear when you select 4(Sum), 5(Var), 6(MinMax), or 7(Reg) on the STAT menu while linear regression is selected as the statistical calculation type. See Appendix <#046> for information about the calculation formula used for each command.

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.

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).