Casio fx-5800P User Manual

fx-5800P

User's Guide

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

E

RJA516644-001V01

Remove the insulation sheet!

k

Your calculator comes with a special insulation sheet, which isolates the battery from the
contacts in the battery compartment, to keep the battery from running down during storage
and shipment. Be sure to remove the insulation sheet before trying to use the calculator for
the fi rst time.

To remove the insulation sheet

1. Pull the tab of the insulation sheet in the direction indicated by the arrow to remove it.

Pull to remove

引き抜いてください

2. After removing the insulation sheet, press the P button on the back of the calculator with
a thin, pointed object to initialize the calculator.

Be sure to perform this step! Do not skip it!

PP

Resetting the Calculator to Initial Defaults

k

Perform the operation below to return the calculator to its initial default settings. Note that
resetting the calculator will also delete all data currently stored in its memory.

P button

To reset the calculator to initial defaults

1. Press

N

• This causes the “Reset All?” confi rmation message to appear.

2. Press E(Yes).

• If you do not want to reset the calculator to initial defaults, press J(No) instead of

(Yes).

E

The following is what happens when you reset the calculator to initial defaults.

• The calculation mode and setup confi guration return to the initial defaults described under
“Clearing the Calculation Mode and Setup Settings (Reset Setup)” (page 13).

• Calculation history data, memory data, statistical calculation sample data, program data,
and all other data input by you is deleted.

(SYSTEM)3(Reset All).

3

c

E-1

About this Manual

k

• Most of the keys perform multiple functions. Pressing 1 orS and then another key
will perform the alternate function of the other key. Alternate functions are marked above
the keycap.

sin–1{D}

sin–1{D}

Keycap function

Alternate function operations are notated in this manual as shown below.

Example:

1

• The following shows the notation used in the manual for menu items that appear on the
display.

Example: z – {PROG} – { /}

• The following shows the notation used in the manual for menu items that appear on the
display (which are executed by pressing a number key).

Example: z – {MATH} 1(∫ dX)

• The displays and illustrations (such as key markings) shown in this User’s Guide 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.

• Company and product names used in this manual may be registered trademarks or
trademarks of their respective owners.

Symbols Used in Examples

k

Var ious symbols are used in the examples of this manual to alert you to settings that need
to be confi gured in order to perform the example operation correctly.

• A mark like the ones shown below indicates that you need to change the calculator’s
display format setting.

If you see this:

B

For details, see “Selecting the Display Format (MthIO, LineIO)” (page 11).

–1

(sin

)

1

s

The notation in parentheses indicates the function executed by the preceding key
operation.

The notation in braces ({ }) indicates the menu item being selected.

The notation in parentheses indicates the menu item accessed by the preceding number
key.

E

Change the display
format setting to:

Natural Display

s

s

Alternate function

If you see this:

b

Change the display
format setting to:

Linear Display

E-2

• A mark like the ones shown below indicates that you need to change the calculator’s
angle unit setting.

If you see this:

v

For details, see “Specifying the Angle Unit” (page 12).

Change the angle unit
setting to:

Deg

If you see this:

V

Change the angle unit
setting to:

Rad

Safety Precautions

Be sure to read the following safety precautions before using this calculator. Be sure to keep
all user documentation handy for future 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 fi re and personal injury.

• Always make sure that the battery’s positive
correctly when you load it into the calculator.

• Remove the battery if you do not plan to use the calculator for a long time.

• Use only the type of battery specifi ed 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 fi re and personal injury.

and negative l ends are facing

k

E-3

Operating Precautions

• Be sure to press the P button on the back of the calculator before using the
calculator for the fi rst time. See page 1 for information about the P button.

• Even if the calculator is operating normally, replace the battery at least once a year.

A dead batter y 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.

• Do not use an oxyride battery or any other type of nickel-based primary battery with
this product. Incompatibility between such batteries and product specifi cations can
result in shorter battery life and product malfunction.

• 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.

Ve ry 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 calculator’s case, and damage to
internal circuitry.

• Avoid use and storage of the calculator in areas subjected to large amounts of
humidity and dust.

Ta ke 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-fi tting 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 dir ty, 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.

E-4

Contents

Remove the insulation sheet! ............................................................................................. 1

Resetting the Calculator to Initial Defaults.......................................................................... 1

About this Manual ............................................................................................................... 2

Symbols Used in Examples ................................................................................................ 2

Safety Precautions ...................................................................................3

Operating Precautions .............................................................................4

Before starting a calculation... ...............................................................9

Tu r ning On the Calculator ................................................................................................... 9

Key Markings ...................................................................................................................... 9

Reading the Display ...........................................................................................................9

Calculation Modes and Setup ...............................................................10

Selecting a Calculation Mode ........................................................................................... 10

Calculator Setup ...............................................................................................................11

Clearing the Calculation Mode and Setup Settings (Reset Setup) ................................... 13

Using the Function Menu ....................................................................... 14

Inputting Calculation Expressions and Values ....................................14

Inputting a Calculation Expression (Natural Input) ........................................................... 14

Using Natural Display ....................................................................................................... 16

Editing a Calculation ......................................................................................................... 19

Finding the Location of an Error ....................................................................................... 21

Displaying Decimal Results while Natural Display is Selected

as the Display Format ............................................................................21

Example Calculations ....................................................................................................... 22

Using thef Key (S-D Transformation) ............................................... 22

Examples of S-D Transformation ...................................................................................... 22

Basic Calculations .................................................................................. 23

Arithmetic Calculations ..................................................................................................... 23

Fractions ........................................................................................................................... 24

Percent Calculations ......................................................................................................... 26

Degree, Minute, Second (Sexagesimal) Calculations ...................................................... 27

Calculation History and Replay ............................................................. 28

Accessing Calculation History .......................................................................................... 29

Using Replay .................................................................................................................... 29

Using Multi-statements in Calculations ...............................................30

Calculator Memory Operations .............................................................31

Using Answer Memory (Ans) ............................................................................................ 32

Using Independent Memory ............................................................................................. 33

Using Variables ................................................................................................................ 34

Clearing All Memory Contents ......................................................................................... 35

E-5

Reserving Variable Memory ...................................................................35

π

User Memory Area ........................................................................................................... 35

Using Extra Variables ....................................................................................................... 36

Using

and Scientifi c Constants ..........................................................37

π

Pi ( π ) ................................................................................................................................. 37

Scientifi c Constants ..........................................................................................................38

Scientifi c Function Calculations ...........................................................40

Tr igonometric and Inverse Trigonometric Functions ......................................................... 40

Angle Unit Conversion ...................................................................................................... 41

Hyperbolic and Inverse Hyperbolic Functions .................................................................. 41

Exponential and Logarithmic Functions ........................................................................... 41

Power Functions and Power Root Functions .................................................................... 42

Integration Calculation ...................................................................................................... 43

Derivative.......................................................................................................................... 45

Second Derivative ............................................................................................................ 46

Calculation .................................................................................................................... 46

Σ

Coordinate Conversion (Rectangular ↔ Polar) ................................................................ 47

Random Number Functions ............................................................................................. 49

Other Functions ................................................................................................................50

Using Engineering Notation ..................................................................53

Using 10 3 Engineering Notation (ENG) ............................................................................ 53

ENG Conversion Examples .............................................................................................. 54

Using Engineering Symbols ............................................................................................. 54

Complex Number Calculations (COMP) ...............................................55

Inputting Complex Numbers ............................................................................................. 55

Complex Number Display Setting ..................................................................................... 56

Complex Number Calculation Result Display Examples .................................................. 56

Conjugate Complex Number (Conjg) ............................................................................... 57

Absolute Value and Argument (Abs, Arg) ......................................................................... 57

Extracting the Real Part (ReP) and Imaginary Part (ImP) of a Complex Number ............ 58

Overriding the Default Complex Number Display Format ................................................. 58

Matrix Calculations (COMP) ..................................................................59

Matrix Calculation Overview ............................................................................................. 59

About the Mat Ans Screen ............................................................................................... 59

Inputting and Editing Matrix Data ..................................................................................... 59

Performing Matrix Calculations ......................................................................................... 62

Sequence Calculations (RECUR) ..........................................................65

Sequence Calculation Overview ...................................................................................... 65

Creating a Sequence Table .............................................................................................. 68

Sequence Calculation Precautions ..................................................................................69

Equation Calculations (EQN) ................................................................. 69

Equation Calculation Overview ........................................................................................69

Selecting an Equation Type .............................................................................................. 71

Inputting Values for Coeffi cients ....................................................................................... 71

E-6

Viewing Equation Solutions .............................................................................................. 72

Statistical Calculations (SD/REG) .........................................................72

Statistical Sample Data .................................................................................................... 72

Performing Single-variable Statistical Calculations .......................................................... 75

Performing Paired-variable Statistical Calculations .......................................................... 77

Statistical Calculation Examples ...................................................................................... 84

Base-n Calculations (BASE-N) ..............................................................86

Performing Base- n Calculations ....................................................................................... 86

Converting a Displayed Result to another Number Base ................................................. 87

Specifying a Number Base for a Particular Value ............................................................. 88

Performing Calculations Using Logical Operations and Negative Binary Values ............. 89

CALC........................................................................................................90

Using CALC ...................................................................................................................... 90

SOLVE ......................................................................................................92

Expressions Supported by SOLVE ................................................................................... 92

Using SOLVE .................................................................................................................... 92

Creating a Number Table from a Function (TABLE) ............................ 94

TABLE Mode Overview..................................................................................................... 94

Creating a Number Table .................................................................................................. 96

Number Table Creation Precautions ................................................................................. 97

Built-in Formulas ....................................................................................97

Using Built-in Formulas .................................................................................................... 97

Built-in Formula Names .................................................................................................... 99

User Formulas ................................................................................................................ 102

Program Mode (PROG).........................................................................104

Program Mode Overview ................................................................................................ 105

Creating a Program ........................................................................................................ 105

Running a Program ........................................................................................................ 109

File Screen Operations ................................................................................................... 111

Deleting a Program......................................................................................................... 112

Command Reference ............................................................................ 113

Program Commands ...................................................................................................... 113

Statistical Calculation Commands .................................................................................. 121

Other PROG Mode Commands...................................................................................... 122

Data Communication (LINK) ................................................................124

Connecting Two fx-5800P Calculators to Each Other .................................................... 124

Tr ansferring Data Between fx-5800P Calculators ........................................................... 124

Memory Manager (MEMORY)...............................................................126

Deletable Data Types and Supported Delete Operations ............................................... 127

Using Memory Manager ................................................................................................. 127

E-7

Appendix ...............................................................................................128

Calculation Priority Sequence ........................................................................................ 128

Stack Limitations ............................................................................................................ 130

Calculation Ranges, Number of Digits, and Precision .................................................... 130

Error Messages .............................................................................................................. 132

Before assuming malfunction of the calculator... ........................................................... 135

Lower Battery Indicator ................................................................................................. 135

Power Requirements ............................................................................ 136

Specifi cations ....................................................................................... 137

E-8

Before starting a calculation...

Turning On the Calculator

k

Presso. This displays the same screen that was on the display when you last turned off
the calculator.

Adjusting Display Contrast

A

If the fi gures on the display become hard to read, try adjusting display contrast.

1. Press

N

• This displays the contrast adjustment screen.

2. Use d ande to adjust display contrast.

3. After the setting is the way you want, press J.

Note

You can also use d ande to adjust contrast while the calculation mode menu that
appears when you press the N key is on the display.

Tur ning Off the Calculator

A

Press

1

Key Markings

k

ln Press the key.

1

2

%

[ Red PressS and then press the key.

3

BIN Green In the BASE-N Mode, press the key.

4

(SYSTEM)1(Contrast).

3

c

(OFF).

o

%

BIN [%BIN [

Function Key Marking Color To perform the function:

Orange Press1 and then press the key.

Reading the Display

k

Input Expressions and Calculation Results

A

This calculator can display both the expressions you input and calculation results on the
same screen.

E-9

Input expression

Calculation result

Display Symbols

A

The symbols described below appear on the display of the calculator to indicate the current
calculation mode, the calculator setup, the progress of calculations, and more.

The nearby sample screen shows the 7 symbol.
The7 symbol turns on when degrees (Deg) are selected for

the default angle unit (page 12).

Calculation Modes and Setup

Selecting a Calculation Mode

k

Your calculator has 11 “calculation modes”.

Selecting a Calculation Mode

A

1. Press N.

• This displays the calculation mode menu. Use c andf to switch between menu
screen 1 and screen 2.

Screen 1 Screen 2

2. Perform one of the following operations to select the calculation mode you want.

To select this calculation mode: Go to this screen: And press this key:

COMP (Computation)

BASE-N (Base

SD (Single Variable Statistics)

REG (Paired Variable Statistics)

PROG (Programming)

RECUR (Recursion)

TABLE (Tables)

EQN (Equations)

n

)

Screen 1

(COMP)

1

(BASE-N)

2

(SD)

3

(REG)

4

(PROG)

5

(RECUR)

6

(TABLE)

7

(EQN)

8

E-10

To select this calculation mode: Go to this screen: And press this key:

LINK (Communication)

MEMORY (Memory Management)

SYSTEM (Contrast Adjustment, Reset)

• To exit the calculation mode menu without changing the calculation mode, press N.

Calculator Setup

k

The calculator setup can be used to confi gure input and output settings, calculation
parameters, and other settings. The setup can be confi gured using setup screens, which
you access by pressing

andc to navigate between them.

f

Selecting the Display Format (MthIO, LineIO)

A

You can select either natural display (MthIO) or linear display (LineIO) for expressions you
input and for calculation results.

(SETUP). There are two setup screens, and you can use

1N

Screen 2

(LINK)

1

(MEMORY)

2

(SYSTEM)

3

Natural Display (MthIO)

Natural display displays fraction, square root, derivative, integral, exponential, logarithmic,
and other mathematical expressions just as they are written. This format is applied both for
input expressions and for calculation results. When natural display is selected, the result of
a calculation is displayed using fraction, square root, or π notation whenever possible.

For example, the calculation 1 ÷ 2 produces the result

1

, whileπ ÷ 3 results in

2

1

.

π

3

Linear Display (LineIO)

With linear display, expressions and functions are input and displayed using a special format
defi ned by your calculator. For example,

input as log(2,4).
When linear display is selected all calculation results, except for fractions, are displayed

using decimal values.

To select this display fomat: Perform this key operation:

Natural Display (MthIO)

Linear Display (LineIO)

Note

For information about the input procedures when using the natural display and linear
display, see “Inputting Calculation Expressions and Values” on page 14 of this manual and
the sections of this manual that explanation of each type of calculation.

1

would be input as 1 { 2, and log

2

(MthIO)

1

1N

(LineIO)

2

1N

4 would be

2

E-11

Specifying the Angle Unit

A

To select this angle unit: Perform this key operation:

Degrees

Radians

Grads

Specifying the Display Digits

A

1N

1N

1N

3
4
5

(Deg)

(Rad)

(Gra)

(90˚ =

π

radians = 100 grads)

2

To specify this display digit setting: Perform this key operation:

Number of Decimal Places

Signifi cant Digits

Exponential Display Range

1N

1N

1N

2

(Fix)0(0) to9(9)

6

(Sci)1(1) to9(9),0(10)

7

(Norm) 1(Norm1) or

8

(Norm2)

The following explains how calculation results are displayed in accordance with the setting
you specify.

• From zero to nine decimal places are displayed in accordance with the number of decimal
places (Fix) you specify. Calculation results are rounded off to the specifi ed number of
digits.

Example: 100 ÷ 7 = 14.286 (Fix = 3)

14.29 (Fix = 2)

• After you specify the number of signifi cant digits with Sci, calculation results are
displayed using the specifi ed number of signifi cant digits and 10 to the applicable power.
Calculation results are rounded off to the specifi ed number of digits.

Example: 1 ÷ 7 = 1.4286 × 10

1.429 × 10

–1

(Sci = 5)

–1

(Sci = 4)

• Selecting Norm1 or Norm2 causes the display to switch to exponential notation whenever
the result is within the ranges defi ned below.

Norm1: 10

Norm2: 10 –9 >

Example: 100 ÷ 7 = 14.28571429 (Norm1 or Norm2)

–2

x

10

>

 , x



>

x

10



, x

>

1 ÷ 200 = 5. × 10

10

10

–3

(Norm1)

0.005 (Norm2)

Specifying the Fraction Display Format

A

To specify this fraction format for
display of calculation results:

Mixed Fractions

Improper Fractions

Perform this key operation:

(ab/c)

1

c

1N

(d/c)

2

c

1N

E-12

Specifying the Engineering Symbol Setting

A

This setting lets you turn engineering symbols on and off. For more information, see “Using
Engineering Symbols” on page 54.

To do this: Perform this key operation:

Tu rn engineering symbols on

Tu rn engineering symbols off

While engineering symbols are turned on (EngOn), engineering symbols are used when a
calculation result is outside of the range of 1

Specifying the Complex Number Display Format

A

You can specify either rectangular coordinate format or polar coordinate format for complex
number calculation results.

To specify this complex number format
for display of calculation results:

Rectangular Coordinates

Polar Coordinates

ENG conversion (page 53) is not possible while polar coordinate format is selected.

Specifying the Statistical Frequency Setting

A

Use the key operations below to turn statistical frequency on or off during SD Mode and
REG Mode calculations (page 72).

To select this frequency setting: Perform this key operation:

Frequency On

Frequency Off

Changing the BASE-N Mode Negative Value Setting

A

You can use the key operations below to enable or disable use of negative values in the
BASE-N Mode.

To specify this setting: Perform this key operation:

Negative values enabled

Negative values disabled

1N

1N

x

< 1000.





<

Perform this key operation:

1N

1N

1N

1N

1N

1N

(ENG)1(EngOn)

3

c

(ENG)2(EngOff)

3

c

(COMPLX)1(

4

c

(COMPLX)2(

4

c

(STAT) 1(FreqOn)

5

c

(STAT) 2(FreqOff)

5

c

(BASE-N)1(Signed)

6

c

(BASE-N)2(Unsigned)

6

c

a+b

∠

r

)

i

Ƨ

)

Clearing the Calculation Mode and Setup Settings

k

(Reset Setup)

Perform the following key operation to reset the calculation mode and setup settings.

N

If you do not want to reset the calculator’s settings, press J(No) in place ofE(Yes) in
the above operation.

(SYSTEM)2(Reset Setup) E(Yes)

3

c

E-13

Calculation Mode ..................................... COMP

Setup Settings

Display Format ....................................MthIO

Angle Unit ............................................ Deg

Exponential Display ............................. Norm1

Fraction Format ..................................d/c

Complex Number Format ....................

Engineering Symbol ............................EngOff

Statistical Frequency ........................... FreqOff

BASE-N Negatives .............................. Signed

a+b

i

Using the Function Menu

The function menu provides you with access to various mathematical functions, commands,
constants, symbols, and other special operations.

Displaying the Function Menu

A

Pressz. The function menu shown below will appear if you press z while in the
COMP Mode for example.

Exiting the Function Menu

A

PressJ.

Inputting Calculation Expressions
and Values

Inputting a Calculation Expression (Natural Input)

k

The natural input system of your calculator lets you input a calculation expression just as
it is written and execute it by pressing E. The calculator determines the proper priority
sequence for addition, subtraction, multiplication, division, fractions and parentheses
automatically.

Example: 2 (5 + 4) – 2 × (–3) =

b

2(5+4)-

2*-3

E

E-14

Inputting Scientifi c Functions with Parentheses (sin, cos, ',

A

etc.)

Your calculator supports input of the scientifi c functions with parentheses shown below.
Note that after you input the argument, you need to press ) to close the parentheses.

sin(, cos(, tan(, sin
e^(, 10^(,'(,
ImP(, Not(, Neg(, Det(, Trn(, Rnd(, Int(, Frac(, Intg(, RanInt#(

Example: sin 30 =

b

Note

Some functions require a different input sequence when using natural input. For more
information, see “Inputting Calculation Expressions Using Natural Display” on page 17.

Omitting the Multiplication Sign

A

You can omit the multiplication sign in the following cases.

• Immediately before an open parenthesis: 2 × (5 + 4)

• Immediately before a scientifi c function with parentheses: 2 × sin(30), 2 ×'(3)

• Before a prefi x symbol (excluding the minus sign): 2 × h123

• Before a variable name, constant, or random number: 20 × A, 2 ×π , 2 ×

Final Closed Parenthesis

A

You can omit one or more closed parentheses that come at the end of a calculation,
immediately before the w key is pressed.

Example: (2 + 3) (4 − 1) = 15

b

Calculation Expression Wrapping (Linear Display)

A

When using linear display, calculation expressions that are longer than 16 characters
(numbers, letters, and operators) are wrapped automatically to the next line.

Example: 123456789 + 123456789 = 246913578

b

–1

(, cos –1(, tan –1(, sinh(, cosh(, tanh(, sinh –1(, cosh –1(, tanh –1(, log(, ln(,

3

(, Abs(, Pol(, Rec(, ∫ (,d/dx(,

'

2

2

d

dx

/

(,Σ (, P(, Q(, R(, Arg(, Conjg(, ReP(,

30)

s

E

i

(2+3)
(4-1

123456789+
123456789

E

E

E-15

Number of Input Characters (Bytes)

A

As you input a mathematical expression, it is stored in memory called an “input area,”
which has a capacity of 127 bytes. This means you can input up to 127 bytes for a single
mathematical expression.
When linear display is selected as the display format, each function normally uses one or
two bytes of memory. With the natural display format, each function use four or more bytes
of memory. For more information, see “Inputting Calculation Expressions Using Natural
Display” on page 17.
Normally, the cursor that indicates the current input location on the display is either a
fl ashing vertical bar (
is 10 bytes or less, the cursor changes to a fl ashing box (
If this happens, stop input of the current expression at some suitable location and calculate
its result.

Using Natural Display

k

While natural display is selected as the display format (page 11), you can input fractions
and some scientifi c functions just as they are written.

Natural Display Basics

A

The table below lists the types of scientifi c functions that you can input using natural display
format.

• The *1 column shows the number of bytes of memory used up by each scientifi c function.
See “Number of Input Characters (Bytes)” (page 16) for more information.

• For information about the *2 column, see “Using Values and Expressions as Arguments”
(page 18).

) or horizontal bar ( ). When the remaining capacity of the input area

|

).

k

Scientifi c Functions that Support Natural Display

Function Key Operation *1 *2

Improper Fraction

Mixed Fraction

log(a,b)

x

10^

e ^x

Square Root ( ')

Cube Root (

Square

Reciprocal

Power

Power Root

Absolute Value (Abs)

Integral

3

)

'

'

1

z

1l

1i

!

1

x

1

6

1

z

z

)14No

'((

– {MATH}

(

$

)4Yes

(

%

(#)9Yes

(

–1

x

)5No

(

)

(

6

"

– {MATH}

– {MATH} 1(∫ dX) 8 Yes

(logab) 7 Yes

7

c

)4Yes

)9Yes

(Abs) 4 Yes

1

c

9Yes

4Yes

4No

4Yes

E-16

Function Key Operation *1 *2

Derivative

Second Derivative

Calculation

Σ

– {MATH} 2(d/dX) 7 Yes

z

– {MATH} 3(d

z

– {MATH} 4(Σ () 11 Yes

z

2

/dX2)7Yes

Note

If you include values or expressions in parentheses ( ( and)) while using natural
display, the height of the parentheses will adjust automatically depending on whether they
enclose one line or two lines. Regardless of their height, opening and closing parentheses
take up one byte of memory each.

Inputting Calculation Expressions Using Natural Display

1. To input a specifi c function, perform the operation in the “Key Operation” column of the
“Scientifi c Functions that Support Natural Display” table.

2. At the input fi elds indicated by  , input the required values and expressions.

• Use the cursor keys to move between the input fi elds of the expression.

Example: To input

B

Specify fraction input:

Important!

• 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.

1 + 2
2 × 3

Input the numerator:
Move the cursor to the denominator:
Input the denominator:
Execute the calculation:

'

1+2

2*3

E

c

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Scrolling the Screen Left and Right

A

The screen will show up to 14 characters when inputting with natural display. When you
input more than 14 characters, the screen will scroll automatically. If this happens, the
symbol will turn on to let you know that the expression runs off the left side of the display.

B

Displayed expression

• While the ] symbol is turned on, you can use the d key to move the cursor to the left
and scroll the screen.

• Scrolling to the left causes part of the expression to run off the right side of the display,
which is indicated by the ' symbol on the right. While the ' symbol is on the screen, you
can use thee key to move the cursor to the right and scroll the screen.

Using Values and Expressions as Arguments

A

When inputting with natural display, in certain cases you can use a value or an expression
that is enclosed in parentheses that you have already input as the argument of a scientifi c
function (such as'), the numerator of a fraction, etc. For the sake of explanation here,
a natural display function that supports the use of previously input values or parenthetical
expressions is called an “insertable natural display function”.

Example: To insert the natural display function ' into the parenthetical expression in the

B

the parenthetical expression.)

following calculation: 1 + (2 + 3) + 4

(Move the cursor immediately to the left of

Input expression 1111 + 2222 + 3333 + 444

Cursor

(INS)

1Y

!

]

Note

• Not all natural display functions are insertable. Only the scientifi c functions for which
“Yes” appears in the column of the table under “Scientifi c Functions that Support Natural
Display” (page 16) are insertable.

• The cursor can be immediately to the left of a parenthetical expression, a numeric value,
or a fraction. Inserting an insertable function will make the parenthetical expression, value,
or fraction the argument of the inserted function.

• If the cursor is located immediately to the left of a scientifi c function, the entire function
becomes the argument of the inserted function.

E-18

Editing a Calculation

k

Insert Mode and Overwrite Mode

A

The calculator has two input modes. The insert mode inserts your input at the cursor
location, shifting anything to the right of the cursor to make room. The overwrite mode
replaces the key operation at the cursor location with your input.
Only the insert mode is available when natural display is selected as the display format. You
cannot change to the overwrite mode. When linear display is selected as the display format,
you can choose either the insert mode or overwrite mode for input.

Original Expression Pressing

Insert Mode

Overwrite Mode

A vertical cursor ( |) indicates the insert mode, while a horizontal cursor ( ) indicates the
overwrite mode.

Cursor

Cursor

+

Selecting an Input Mode

The initial default input mode setting is insert mode. If you have linear display selected as
the display format and want to change to the overwrite mode, press:

Editing a Key Operation You Just Input

A

When the cursor is located at the end of the input, pressY to delete the last key operation
you performed.

Example: To correct 369 × 13 so it becomes 369 × 12

Bb

369*13

Y

2

1Y

(INS).

Deleting a Key Operation

A

With the insert mode, use d ande to move the cursor to the right of the key operation
you want to delete and then press Y. With the overwrite mode, move the cursor to the
key operation you want to delete and then press Y. Each press of Y deletes one key
operation.

Example: To correct 369 × × 12 so it becomes 369 × 12

Insert Mode

Bb

369**12

E-19

dd

Y

Overwrite Mode

b

Editing a Key Operation within an Expression

A

With the insert mode, use d ande to move the cursor to the right of the key operation
you want to edit, press Y to delete it, and then perform the correct key operation. With the
overwrite mode, move the cursor to the key operation you want to correct and then perform
the correct key operation.

Example: To correct cos(60) so it becomes sin(60)

Insert Mode

Bb

Overwrite Mode

b

Inserting Key Operations into an Expression

A

Be sure to select the insert mode whenever you want to insert key operations into an
expression. Use d ande to move the cursor to the location where you want to insert the
key operations and then perform them.

369**12

ddd

Y

60)

c

ddd

Y

s

60)

c

dddd

s

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Finding the Location of an Error

k

If your calculation expression is incorrect, an error message will appear on the display
when you press E to execute it. Pressing the J,d, ore key after an error message
appears will cause the cursor to jump to the location in your calculation that caused the
error so you can correct it.

Example: When you input 14 ÷ 0 × 2 = instead of 14 ÷ 5 × 2 =

b

(The following examples use the insert mode.)

14/0*2

J

• Instead of pressing J,e ord while an error message is displayed to fi nd the
location of the error, you could also press o to clear the calculation.

E

(ore,d)

5

D

E

Location of Error

Displaying Decimal Results while
Natural Display is Selected as the
Display Format

PressingE to execute a calculation while natural display is selected will display the result
in natural format. Pressing
decimal format.

To display the result in this format: Perform this key operation:

Natural Format

Decimal Format

Note

When linear display is selected as the display format, execution of a calculation is always
displayed in linear (decimal) format, regardless of whether you press E or

will execute the calculation and display the result in

1E

E

1E

E-21

1E

.

Example Calculations

k

Example:'2 + '8 = 3 '2

B

Produce the result in decimal format:

2e+!8

!

2e+!8

!

E

1E

Using the

f

Key

(S-D Transformation)

You can use the f key to transform a value between its decimal (D) form and its standard (S)
form (fraction, ',π ).

Important!

• Depending on the type of calculation result that is on the display when you press the
key, the conversion process may take some time to perform.

• With certain calculation results, pressing the f key will not convert the displayed value.

Examples of S-D Transformation

k

Example 1: While linear display is selected as the display format, to perform the calculation

b

111 ÷ 33, and then convert the result to fraction format

111/33

E

f

f

E-22

f

Note

• Each press of the f key toggles the displayed result between the two forms.

• The format of the fraction depends on which fraction display format (improper or mixed) is
currently selected (page 12).

Example 2: While natural display is selected as the display format, to perform the

B

calculation 111 ÷ 33, and then convert the result to decimal format

111/33

E

f

f

Example 3: While natural display is selected as the display format, to perform the

B

calculation shown below, and then convert the result to decimal format

(

)

π

5

*'2c5

E

f

1

π

Basic Calculations

Unless otherwise noted, the calculations in this section can be performed in any of the
calculator’s calculation mode, except for the BASE-N Mode.

Arithmetic Calculations

k

Arithmetic calculations can be used to perform addition ( +), subtraction ( -),
multiplication ( *), and division ( /).

E-23

Example 1: 2.5 + 1 − 2 = 1.5

b

2.5+1-2

Example 2: 7 × 8 − 4 × 5 = 36

E

b

7*8-4*5

• The calculator determines the proper priority sequence for addition, subtraction,
multiplication, and division automatically. See “Calculation Priority Sequence” on page 128
for more information.

Fractions

k

Keep in mind when inputting fractions on your calculator that the input procedure you need
to use depends on whether natural display or linear display is selected as the display format
(page 11), as shown below.

E

Natural Display:

Key Operation Display

Improper Fraction

Mixed Fraction

7c3

'

'((

)

1

2e1c3

7
3

1

2

3

Linear Display:

Key Operation Display

Improper Fraction

Mixed Fraction

As you can see above, natural display lets you input fractions as they appear in your
textbook, while linear display requires input of a special symbol ( {).

7'3

2'1'3

Integer Numerator Denominator

Note

• Under initial default settings, fractions are displayed as improper fractions.

• Fraction calculation results are always reduced automatically before being displayed.
Executing 2 { 4 =, for example, will display the result 1 { 2.

7{ 3

Numerator Denominator

2{ 1{ 3

E-24

Fraction Calculation Examples

A

Example 1:

B

2

1

7

+

=

3

2

6

2c3

'

1c2

'

e

+

E

b

Example 2: 3

b

B

2'3+1'2

E

1

2

+ 1

4

11

= 4

(Fraction Display Format: ab/c)

3

1 2

'((

1

'((

)

1

3'1'4+
1'2'3

3e1c4e+

)

1e2c3

E

E

E-25

Note

• If the total number of elements (integer digits + numerator digits + denominator digits
+ separator symbols) that make up a mixed fraction expression is greater than 10, the
calculation result will be displayed in decimal form.

• If an input calculation includes a mixture of fraction and decimal values, the result will be
displayed in decimal format.

• You can input integers only for the elements of a fraction.

Switching between Improper Fraction and Mixed Fraction

A

Format

To convert an improper fraction to a mixed fraction (or a mixed fraction to an improper
fraction), press

Switching between Fraction and Decimal Format

A

Use the procedure below to toggle a displayed calculation result between fraction and
decimal format.

Example: 1.5 =

1

b

The current fraction display format setting determines if an improper or mixed fraction is displayed.

Note

The calculator cannot switch from decimal to fraction format if the total number of elements
(integer digits + numerator digits + denominator digits + separator symbols) that make up a
mixed fraction is greater than 10.

bcd

(

f

3

3

,

= 1.5

2

2

a— ⇔ —

).

c

1.5

E

f

f

Percent Calculations

k

Inputting a value and with a percent (%) sign makes the value a percent. The percent (%)
sign uses the value immediately before it as the argument, which is simply divided by 100 to
get the percentage value.

Percent Calculation Examples

A

All of the following examples are performed using linear display ( b).

E-26

Example 1: 2% = 0.02 (

2

1 00

)

21,

(%)

E

Example 2: 150 × 20% = 30 (150 ×

Example 3: What percent of 880 is 660?

Example 4: Increase 2500 by 15%.

Example 5: Reduce 3500 by 25%.

Degree, Minute, Second (Sexagesimal) Calculations

k

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

Inputting Sexagesimal Values

A

The following is basic syntax for inputting a sexagesimal value.

{Degrees} ${Minutes} ${Seconds}

Example: To input 2°30´30˝

2 0

)

1 0 0

1

,

(%)

(%)

(%)

(%)

150*201,

660/880

2500+2500*

151,

3500-3500*

251,

$

E

E

E

E

b

2e30e30

e

E

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

Example: To input 0°00´30˝, press

0$0$30

$

.

E-27

Sexagesimal Calculation Examples

A

• The following types of sexagesimal calculations will produce sexagesimal results.

- Addition or subtraction of two sexagesimal values

- Multiplication or division of a sexagesimal value and a decimal value

Example 1: 2°20´30˝ + 39´30˝ = 3°00´00˝

b

Example 2: 2°20´00˝ × 3.5 = 8°10´00˝

b

Performing a Decimal Calculation to Obtain a Sexagesimal

A

2e20e30e+
0e39e30

2e20e*

e

3.5

E

E

Result

You can use the “ 'DMS” command to execute a decimal calculation and obtain a
sexagesimal result. The “ 'DMS” command can be used in the COMP Mode only.

Example: Perform the calculation 100 ÷ 3 so it produces a sexagesimal result

b

100/3

– {ANGLE} 4('DMS)

z

Converting between Sexagesimal and Decimal

A

Pressing$ while a calculation result is displayed will toggle the value between
sexagesimal and decimal.

Example: To convert 2.255 to sexagesimal

b

2.255

E
E

E

e

Calculation History and Replay

You can use calculation history in the COMP and BASE-N Modes.

E-28

Accessing Calculation History

k

The` symbol in the upper right corner of the display indicates that there is data stored in
calculation history. To view the data in calculation history, press f. Each press of f will
scroll upwards (back) one calculation, displaying both the calculation expression and its
result.

Example:

B

While scrolling through calculation history records, the $ symbol will appear on the display,
which indicates that there are records below (newer than) the current one. When this symbol
is turned on, press c to scroll downwards (forward) through calculation history records.

1+1E2+2

3+3

E
E

f

f

Important!

• Calculation history records are all cleared when you change to a different calculation
mode, or when you change the display format.

• Calculation history capacity is limited. Whenever you perform a new calculation while
calculation history is full, the oldest record in calculation history is deleted automatically to
make room for the new one.

Note

A calculation that contains any of the following functions is not stored in calculation history
when it is executed.
CALC, SOLVE, Built-in Formulas, User Formulas

Using Replay

k

While a calculation history record is on the display, press d ore to display the cursor
and enter the editing mode. Pressing e displays the cursor at the beginning of the
calculation expression, while d displays it at the end. After you make the changes you
want, press E to execute the calculation.

Example: 4 × 3 + 2.5 = 14.5
4 × 3 – 7.1 = 4.9

b

4*3+2.5

E

E-29