Texas Instruments TI - 40 User Manual

For menu items followed by an argument value, enter the argument value while the item is underlined. The item and the argument value are displayed on the previous screen.

TI½40 Collège

Scientific Calculator

Texas Instruments 7800 Banner Dr. Dallas, TX 75251 U.S.A.

Texas Instruments Holland B.V. Rutherfordweg 102 3542 CG Utrecht - The Netherlands

www.ti.com/calc



1999 Texas Instruments Incorporated

General Information

Examples

keystroke examples that demonstrate many of the TI settings.

clears the display. APD™ (Automatic Power Down™) turns off the TI for about 5 minutes. Press pending operations, settings, and memory are retained.

2-Line Display

of up to 88 digits (or 47 digits for Stat or Constant Entry Line). Entries begin on the left; those with more than 11 digits scroll to the right. Press Press the beginning or end of the entry.

The second line ( digits, plus a decimal point, a negative sign, a “ and a 2-digit positive or negative exponent. Results that exceed the digit limit are displayed in Scientific Notation.

Indicator Definition

2nd FIX STAT RAD

ÄÄQÄÄ

ÄÄRÄÄ

N/D¹n/d

º »

¹ ¸

2nd Functions

selects the 2nd function (printed above keys) of the next key pressed. For example, square root of 25 and returns the result , 5.

Menus

z, % h, L, d, % ~ % A, % B, % t, u % w, H, % I, =, % k, % ‚

and Press

item. To return to the previous screen without selecting the item, press

: See the last page of these instructions for

40 Collège Ö functions. Examples assume all default

turns on the TIN40 Collège Ö. % ' turns it off and

40 Collège Ö automatically if no key is pressed

: The first line (

% !

or % " to move the cursor immediately to

Result Line

2nd function. Fixed-decimal setting. Statistical mode. Angle mode set to radians. Displays quotient (Q) and remainder (R) for

integer divide result. The fraction result can be further simplified.

An entry is stored in memory before and/or after the active screen. Press scroll.

An entry or menu displays beyond 11 digits. Press

: Certain TI

% 

Press

or " to move the cursor and underline a menu

while the item is underlined, or

after APD. The display,

Entry Line

) displays a result of up to 10

or " to scroll.

displays the

% b

25 E

40 Collège Ö keys display menus:

. To select a menu item:

) displays an entry

and " to scroll the line.

x10

” indicator,

and $ to

2nd

indicator, and then

calculates the

Previous Entries

After an expression is evaluated, use # and $ to scroll through previous entries, which are stored in the

40 Collège Ö memory. You cannot retrieve previous

entries while in

STAT

mode.

Last Answer

The most recently calculated result is stored to the variable

Ans. Ans

¦ ¦

is retained in memory, even after the

40 Collège Ö is turned off. To recall the value of

Press % i ( Press any operations key (T, U, F, etc.) as the first

part of an entry.

Ans

displays on the screen), or

Ans

and the operator are both displayed.

# $

% i

Ans

Order of Operations

The TIN40 Collège Ö uses EOSé (Equation Operating System) to evaluate expressions.

1st Expressions inside parentheses. 2nd Functions which need a ) and precede the argument

such as the 3rd Fractions. 4th Functions that are entered after the ar

5th Exponentiation 6th Negation (M). 7th Permutations ( 8th Multiplication, implied multiplication, division. 9th Addition and subtraction. 10th Conversions ( 11th

parentheses.

sin, log

, and all

and angle unit modifiers (Ä Å Æ

(^)

and roots (

nPr

) and combinations (

cÍdÌe, 4F, 4D, 4%

completes all operations and closes all open

menu items.

r g

ument, such ).

nCr

DMS

Clearing and Correcting

% f % { % t

CLRDATA

% w

% 

Math Operations

displays a menu with various math functions. Some functions require you to enter 2 values, real numbers or expressions which equal return a real number. separates 2 values.

abs(#) Displays absolute value of #. round(#,digits) Rounds # to specified number of digits. iPart(#) Returns only the integer part (iPart) or

Clears an error message. Clears characters on the entry line. Moves the cursor to last entr

once display is clear. Deletes the character at the cursor.

Deletes all characters to the ri

ou hold down J; then, deletes 1 character to the left of the cursor each tim you press J.

Inserts a character at the cursor. Clears all memory variables. Clears all data points without exitin

mode. Clears all data points and exits

Resets the TIN40 Collège Ö. Returns unit

to default settin variables, pending operations, all entries in histor

, and statistical data; clears

constant mode and

s; clears memor

Ans

in histor

ht when

STAT

mode.

STAT

% `

-1-

and #2.

lcm

gcd

) or

) of 2

% Y

fPart(#) min(#1,#2)

max(#1,#2) lcm(#1,#2)

gcd(#1,#2) #3 Calculates the cube of #.

3Ñ(#) Calculates the cube root of #. remainder

(#1,#2)

fractional part (fPart) of Returns the minimum (min) or maximum

(max) of 2 values, Finds the least common multiple (

reatest common divisor (

integers,

Returns the remainder resulting from the division of 2 integers, #1 by #2.

and #2.

Integer Divide

% Y

divides 2 positive integers and displays the quotient,

Q, and the remainder, R. Only the quotient is stored to Ans.

Fractions

%~?RO

> } N Q

% ~

determine how fraction results are displayed. Note: Results which cannot be displayed as a fraction are displayed as decimals.

Manual (default) displays unsimplified fraction results, as applicable. N simplified further.

Auto displays fraction results that are automatically simplified to lowest terms. Note: You cannot press while in Auto mode.

separates the numerator from the denominator. The denominator must be a positive integer. To negate a fraction, press

} <

prime factor. If you want to choose the factor (instead of letting calculator choose it), press (an integer), and then press

% ?

to simplify the last fraction result. You must be in Manual mode to display DIV. Press to the simplified fraction.

converts a fraction to a decimal, if possible.

% R N

converts a decimal or fraction to a percent.

% O

simple fraction.

=3.141592653590 for calculations. display. In RAD mode, multiplication or fraction calculations. The TI only accepts p in the numerator of a fraction.

Angle Modes

% I

degrees or radians.

displays a menu to specify the Angle unit modifier— degrees ( convert an angle to DMS Notation (

To set the Angle mode for any part of an entry:

Select the Angle mode. Entries are interpreted and results displayed according to the Angle mode, or

Select a unit modifier (Ä Å Æ r ) for any part of an entry. Entries with unit modifiers are interpreted accordingly, overriding the Angle mode.

To convert an entry:

Set the Angle mode to the unit you want to convert Then use a unit modifier to designate the unit to convert

from

parentheses first.), or

displays a menu of 2 settings, which

ÌD¹nÌ

d displays if the fraction can be

}

before entering the numerator.

simplifies a fraction using the lowest common

}

displays DIV on the entry line and the divisor used

% ?

converts a decimal to a fraction, if possible.

converts between a mixed number and a

, enter the factor

again to toggle back

is represented as Pi in results of

displays a menu to change the Angle mode to

), radians (r), or DMS (Ä Å Æ). It also lets you

. (Angles of trig functions convert values inside

=3.141592654 for

40 Collège

% I

DMS

Trig

% B

cos, cos-1, tan, tan-1). Select the trig function from the menu and then enter the value. Set the desired Angle mode before starting trig calculations.

Logarithms

% A

(log, 10^, ln, e^). Select the trig function from the menu, then enter the value, and complete it with Angle mode before starting trig calculations.

RectangularÍPolar

% k

coordinates (x,y) to polar coordinates (r, Angle mode, as necessary, before starting calculations.

Stored Operations m o %

The TIN40 Collège Ö stores 2 operations, store an operation to

1. Press

2. Enter the operation (any combination of numbers,

3. Press

Memory

The TIN40 Collège Ö has 5 memory variables—A, B, C, and results in a real number to a memory variable.

¦ z ¦ L ¦ % h ¦ % {

Notation

% ‚

These settings restores floating-decimal format. Set decimal places to

9) with

entering a negative exponent.

Stats

1-VAR

variable, with 2 measured variables— and sets.

Steps for defining statistical data points:

1. Press

2. Press

3. Enter a value for

4. Press

DMS

Select Notation.

, which converts an entry to DMS (

Ä Å Æ

)

% B

displays a menu of all trig functions (sin, sin-1,

% A

displays a menu of all log functions

. Set the desired

displays a menu to convert rectangular

) or vice versa. Set

n p

OP1

OP2

and

OP1

OP2

and recall it:

% n

operators, or menu items and their arguments).

or o recalls and displays the operation on the entry line. The TI the result (without pressing counter (as space permits) on the left side of the result line. When you press succession, the counter increments by 1.

You can set the TI and the result only (excluding the entry). While defining the operation, press Repeat to toggle this setting off.

or % p.

to save the operation to memory.

40 Collège Ö automatically calculates

) and displays the

or o more than once in

40 Collège Ö to display the counter

until the = is highlighted (Ù).

. To

z L %h{

(0–

. You can store a real number or an expression that

accesses the menu of variables.

lets you store values to variables.

recalls the values of variables.

clears all variable values.

%‚

displays the

0123456789.

enters a value in

Decimal Notation

only

affect the display of results. F (default)

Scientific Notation

mode menu.

. Press M before

%twvu

stats analyzes data from 1 data set with 1 measured

X. 2-VAR

stats analyzes paired data from 2 data sets

, the dependent variable. You can enter up to 42 data

% t

indicator displays.

value.

. Select

, the independent variable,

1-VAR

2-VAR

evaluates it and displays the

. The

STAT

-2-

1-VAR

stat mode, enter the frequency of occurrence

FRQ

(

) of the data point.

FRQ

default=1. If

FRQ=0

, the data

point is ignored.

2-VAR

stat mode, enter the value for

and press

5. Repeat steps 3 and 4 until all data points are entered. You must press

FRQ

value entered. If you add or delete data points, the

40 Collège Ö automatically reorders the list.

or $ to save the last data point or

6. When all points and frequencies are entered:

Press

to display the menu of variables (see

table for definitions) and their current values, or

Press

to return to the blank can do calculations with data variables ( Select a variable from the

to evaluate the calculation.

STAT

screen. You

Ï, Ð

, etc.).

menu and then press

7. When finished:

Press % t and select points

without

exiting

Press % variable and

w <

FRQ

values, and to exit

CLRDATA

STAT

mode, or

to clear all data

to clear all data points,

STAT

mode (

STAT

indicator turns off).

Variables Definition n

x or Îy

x or Òy

x2 or Òy

a b r

(

2-VAR

Number of Mean of all X or Y values. Sample standard deviation of Population standard deviation of Sum of all

Sum of all Sum of Linear regression slope. Linear regression Correlation coefficient.

)

Uses a and b to calculate predicted X value

X,Y

or Y values.

X…Y

for all XY pairs.

data points.

values.

-intercept.

or Y.

when you input a Y value.

)

(

2-VAR

Uses a and b to calculate predicted Y value when you input an X value.

Probability

nPr

Calculates the number of possible

permutations n

and r. The order of objects is important, as in

of n items taken r at a time,

ive

a race.

nCr

Calculates the number of possible

combinations

of n items taken r at a time,

iven n and r. The order of objects is not

important, as in a hand of cards.

RAND

A from 1 to number

Generates a random real number between 0 and 1. To control a sequence of random numbers, store an inte

rand

is the product of the positive inte

n. n

must be a positive whole



69.

er (

. The

seed value

changes randomly ever

ers

) ‚ 0 to

factorial

time a random number is generated.

RAND

Generates a random integer between 2

[

inte

ers, A and B, where

{

RAND

[

{

Separate the 2 integers with a comma.

Errors

ARGUMENT

arguments.

DIVIDE BY 0

¦ ¦

DOMAIN

the valid range. For example:

— A function does not have the correct number of —

You attempted to divide by 0. In statistics, n=1.

— You specified an argument to a function outside

‡

For

: x = 0 or y < 0 and

not an odd integer.

For

: y and x = 0; y < 0 and x not an integer.

‡

For

x: x

< 0.

LOG

For

or LN: x  0.

TAN

For

EQU LENGTH ERROR

= 90¡, -90¡, 270¡, -270¡, 450¡, etc.

SIN

nCr

COS

: |x| > 1.

nPr: n

or r are not integers ‚ 0.

is not an integer between 0 and 69.

— An entry exceeds the digit limits (88 for Entry Line and 47 for Stat or Constant Entry lines); for example, combining an entry with a constant that exceeds the limit.

FRACMODE FRQ DOMAIN

— Pressing

—

FRQ

value (in

}

Fracmode=Auto

when

1-VAR

stats) < 0 or >99, or not an

integer.

— Pressing m or o when constants are not defined

or while in

OVERFLOW

hyperbolic, or

STAT

¦ ¦

SYNTAX

STAT

mode.

— |q| ‚ 1¯10, where

Pr(

function.

is an angle in a trig,

—

Pressing When not in

% w

with no defined data points.

STAT

mode, pressing v,

, or

— The command contains a syntax error: entering more than 23 pending operations, 8 pending values, or having misplaced functions, arguments, parentheses, or commas.

Battery Replacement

1. Using a small Phillips screwdriver, remove screws from back

case.

2. Remove protective cover. Starting from the bottom, carefully

separate front from back.

Caution:

Be careful not to damage

any internal parts.

3. Using a small Phillips screwdriver (if necessary), remove old

battery; replace with new one.

Caution:

Avoid contact with other TI

40 Collège

components while changing the battery.

4. If necessary, press & and

the

TIN40 Collège Ö

Caution:

Dispose of old batteries properly. Do not incinerate

(clears memory and all settings).

at the same time to reset

batteries or leave where a child can find them.

In Case of Difficulty

Review instructions to be certain calculations were performed properly.

Press memory and settings.

Check the battery to ensure that it is fresh and properly installed.

Change the battery when:

¦ &

does not turn the unit on, or

The screen goes blank, or

You get unexpected results.

To continue using the TI the battery:

1. Expose the solar panel to brighter light.

2. Press

calculator. This clears all settings and memory.

Note:

Operates in well-lit areas using solar cell. Operates in

other light settings using battery.

and

at the same time. This clears all

40 Collège

at the same time to reset the

until you can change

-3-

+ 4 hidden pages

Texas Instruments TI - 40 User Manual

Specifications and Main Features

Frequently Asked Questions

User Manual