Texas Instruments Calculator TI 40 User Manual

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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.  
Previous Entries  
# $  
TI  
½
40 Collège  
×
After an expression is evaluated, use  
through previous entries, which are stored in the  
#
and  
$
to scroll  
Scientific Calculator  
TI  
N
40 Collège  
Ö
memory. You cannot retrieve previous  
Texas Instruments  
7800 Banner Dr.  
Dallas, TX 75251 U.S.A.  
entries while in STAT mode.  
Last Answer  
% i  
The most recently calculated result is stored to the variable  
Texas Instruments Holland B.V.  
Rutherfordweg 102  
Ans. Ans is retained in memory, even after the  
TI  
¦
N
40 Collège  
Ö
is turned off. To recall the value of Ans:  
3542 CG Utrecht - The Netherlands  
Press % i (Ans displays on the screen), or  
Press any operations key ( , etc.) as the first  
part of an entry. Ans and the operator are both displayed.  
¦
T,  
U,  
F
¾
Order of Operations  
1999 Texas Instruments Incorporated  
The TI  
N
40 Collège  
Ö
uses EOS  
é
(Equation Operating  
System) to evaluate expressions.  
General Information  
1st Expressions inside parentheses.  
Examples: See the last page of these instructions for  
keystroke examples that demonstrate many of the  
2nd Functions which need a ) and precede the argument,  
such as the sin, log, and all R  
ÍP menu items.  
TI  
settings.  
turns on the TI  
clears the display. APD™ (Automatic Power Down™) turns  
off the TI 40 Collège automatically if no key is pressed  
for about 5 minutes. Press after APD. The display,  
N
40 Collège  
Ö
functions. Examples assume all default  
3rd  
4th  
Fractions.  
&
N
40 Collège  
Ö
.
% ' turns it off and  
Functions that are entered after the argument, such  
as x2 and angle unit modifiers (Ä Å Æ r g).  
N
Ö
x
Ñ).  
5th  
6th  
7th  
8th  
9th  
Exponentiation (^) and roots (  
Negation ( ).  
&
M
pending operations, settings, and memory are retained.  
Permutations (nPr) and combinations (nCr).  
Multiplication, implied multiplication, division.  
Addition and subtraction.  
2-Line Display: The first line (Entry Line) displays an entry  
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  
!
and  
"
to scroll the line.  
10th Conversions (Ab  
11th completes all operations and closes all open  
parentheses.  
Ì
c
Íd  
Ì
e,  
4
F,  
4
D,  
4
%,  
4DMS).  
Press % ! or % " to move the cursor immediately to  
<
the beginning or end of the entry.  
The second line (Result Line) displays a result of up to 10  
digits, plus a decimal point, a negative sign, a “x10” indicator,  
and a 2-digit positive or negative exponent. Results that  
exceed the digit limit are displayed in Scientific Notation.  
Clearing and Correcting  
-
Clears an error message.  
Clears characters on the entry line.  
Moves the cursor to last entry in history  
once display is clear.  
Indicator  
2nd  
Definition  
2nd function.  
Fixed-decimal setting.  
Statistical mode.  
FIX  
J
Deletes the character at the cursor.  
STAT  
RAD  
Deletes all characters to the right when  
Angle mode set to radians.  
you hold down  
J; then, deletes 1  
character to the left of the cursor each time  
you press  
Displays quotient (Q) and remainder (R) for  
ÄÄQÄÄ  
ÄÄRÄÄ  
J
.
integer divide result.  
% f  
Inserts a character at the cursor.  
Clears all memory variables.  
The fraction result can be further simplified.  
An entry is stored in memory before and/or  
N/D¹n/d  
% {  
º »  
% t  
CLRDATA  
Clears all data points without exiting STAT  
mode.  
after the active screen. Press  
scroll.  
#
and  
$
to  
% w Clears all data points and exits STAT mode.  
An entry or menu displays beyond 11 digits.  
Press or to scroll.  
¹ ¸  
Y
!
"
%   
or  
Y
N
Resets the TI 40 Collège  
Ö. Returns unit  
2nd Functions:  
%
displays the 2nd indicator, and then  
to default settings; clears memory  
variables, pending operations, all entries in  
history, and statistical data; clears  
constant mode and Ans.  
selects the 2nd function (printed above keys) of the next key  
pressed. For example, % b 25 E < calculates the  
square root of 25 and returns the result, 5.  
&
&
-
Menus: Certain TI  
N
40 Collège  
Ö
d
keys display menus:  
z
,
% h  
,
L
,
,
% ~  
,
Math Operations  
d
% A  
% w  
and %   
Press or  
item. To return to the previous screen without selecting the  
item, press . To select a menu item:  
Press while the item is underlined, or  
,
% B  
,
% t  
% I  
,
u
,
,
H
.
,
,
=
,
% k  
,
% ‚,  
d
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.  
!
"
to move the cursor and underline a menu  
-
abs(#)  
round(#,digits) Rounds  
iPart(#) Returns only the integer part (iPart) or  
Displays absolute value of  
#.  
¦
<
#
to specified number of digits.  
-1-  
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¦
¦
In 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.  
¦
¦
¦
¦
¦
¦
¦
For yx: y and x = 0; y < 0 and x not an integer.  
For x: x < 0.  
For LOG or LN: x  

0.  
In 2-VAR stat mode, enter the value for Y1 and press  
For TAN: x = 90  
¡
, -90  
¡
, 270  
¡
, -270  
¡
, 450  
¡
, etc.  
<
.
For SIN- or COS-1: |x| > 1.  
1
5. Repeat steps 3 and 4 until all data points are entered.  
You must press or to save the last data point or  
FRQ value entered. If you add or delete data points, the  
TI 40 Collège automatically reorders the list.  
6. When all points and frequencies are entered:  
For nCr or nPr: n or r are not integers  
0.  
<
$
For x!: is not an integer between 0 and 69.  
x
N
Ö
EQU LENGTH ERROR — 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.  
¦
Press  
table for definitions) and their current values, or  
Press to return to the blank STAT screen. You  
can do calculations with data variables ( , etc.).  
Select a variable from the menu and then press  
to evaluate the calculation.  
7. When finished:  
u
to display the menu of variables (see  
FRACMODE — Pressing  
}
when Fracmode  
= .  
Auto  
¦
-
Ï
,
Ð
FRQ DOMAIN  
FRQ value (in 1-VAR stats) < 0 or >99, or not an  
u
integer.  
<
OP — Pressing  
or while in STAT mode.  
m
or  
o
when constants are not defined  
¦
Press % t and select CLRDATA to clear all data  
points without exiting STAT mode, or  
Press % w < to clear all data points,  
variable and FRQ values, and to exit STAT mode (STAT  
indicator turns off).  
OVERFLOW — |  
hyperbolic, or R  
q
|
1
¯
10, where  
q
is an angle in a trig,  
4
Pr( function.  
¦
STAT  
¦
¦
Pressing  
u with no defined data points.  
When not in STAT mode, pressing  
v
,
u, or  
Variables  
n
Definition  
Number of  
Mean of all  
% w  
.
X
or X,Y data points.  
or values.  
SYNTAX — The command contains a syntax error: entering  
more than 23 pending operations, 8 pending values, or  
having misplaced functions, arguments, parentheses, or  
commas.  
Ï
or  
Sx or Sy  
x or  
Ð
X
Y
Sample standard deviation of  
Population standard deviation of  
Sum of all or values.  
Sum of all X2 or Y2 values.  
Sum of for all XY pairs.  
X
or  
Y.  
Î
Î
y
X
or  
Y.  
Ò
Ò
Ò
a
x or  
x2 or  
xy  
Ò
y
X
Y
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.  
Ò
y2  
X
Y
Linear regression slope.  
Linear regression Y-intercept.  
Correlation coefficient.  
b
r
X
¢
(2-VAR)  
(2-VAR)  
Uses a and b to calculate predicted X value  
when you input a Y value.  
Caution: Avoid contact with other TI  
N
40 Collège  
Ö
Y
¢
Uses a and b to calculate predicted Y value  
when you input an X value.  
components while changing the battery.  
4. If necessary, press & and - at the same time to reset  
the TI 40 Collège Ö (clears memory and all settings).  
N
Probability  
H
Caution: Dispose of old batteries properly. Do not incinerate  
batteries or leave where a child can find them.  
Calculates the number of possible  
permutations of n items taken r at a time, given  
n and r. The order of objects is important, as in  
a race.  
nPr  
In Case of Difficulty  
Review instructions to be certain calculations were  
performed properly.  
Calculates the number of possible  
combinations of n items taken r at a time,  
given n and r. The order of objects is not  
important, as in a hand of cards.  
nCr  
Press  
&
and  
-
at the same time. This clears all  
memory and settings.  
A factorial is the product of the positive integers  
Check the battery to ensure that it is fresh and properly  
installed.  
!
from 1 to  
number  
n.  
n
must be a positive whole  

69.  
Change the battery when:  
¦ & does not turn the unit on, or  
Generates a random real number between 0  
and 1. To control a sequence of random  
RAND  
¦
¦
The screen goes blank, or  
You get unexpected results.  
numbers, store an integer (seed value)  
0 to  
rand. The seed value changes randomly every  
time a random number is generated.  
To continue using the TI  
the battery:  
N40 Collège  
Ö
until you can change  
Generates a random integer between 2  
RAND  
[
1. Expose the solar panel to brighter light.  
integers, A and B, where A  
{
RAND[ { B.  
Separate the 2 integers with a comma.  
2. Press and at the same time to reset the  
&
-
calculator. This clears all settings and memory.  
Errors  
Note: Operates in well-lit areas using solar cell. Operates in  
other light settings using battery.  
ARGUMENT — A function does not have the correct number of  
arguments.  
DIVIDE BY 0  
¦
¦
You attempted to divide by 0.  
In statistics, n=1.  
DOMAIN — You specified an argument to a function outside  
the valid range. For example:  
x
¦
For  
: x = 0 or y < 0 and  
x
not an odd integer.  
-3-  
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TI Product Service and Warranty Information  
TI Product and Services Information  
For more information about TI products and services,  
contact TI by e-mail or visit the TI calculator home page on  
the world-wide web.  
e-mail address:  
internet address:  
Service and Warranty Information  
For information about the length and terms of the warranty  
or about product service, refer to the warranty statement  
enclosed with this product or contact your local Texas  
Instruments retailer/distributor.  
-4-  
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3 4  
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3
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3Q3  
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ANS  
3 V 3 <  
2.  
Ans  
4
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3
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Q3  
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27.  
V 3 <  
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4
x
Q
% O  
% R  
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Ñ
Ans  
Ô
3 % c % i <  
3.  
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Ab  
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5 V M 1 2 T 4 5 <  
Ans  
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15.  
0
(M)  
4.5  
10  
Ø
2
Ans  
4
Ø
1 0 % Y 2 <  
4F  
% R <  
5
45  
Ì
10  
ÄÄQÄÄÄ  
ÄÄRÄÄ  
NÌD¹n/d  
4
Q
(2+3)  
Ô
Ô
4 V D 2 T 3 E  
<
( )  
20.  
F
G
% a b c  
%~=Manual  
4(2+3)  
4 D 2 T 3 E <  
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1
1
2Q(1 2)  
xM  
2 V D 1 > 2 E  
20.  
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4 1  
% a <  
2
22+2  
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2 F T 2 <  
d
6.  
5.  
iPart fPart  
iPart(2.4)  
¹
abs, iPart,  
fPart, 3Ñ,  
d " "  
3
Ñ(25)  
Ñ
% b 2 5 E <  
5 G 3 <  
Ô
Ô
Ô
2 . 4 E <  
2.  
5^3  
x
^
x
125.  
2.  
abs round  
¹
round  
d "  
3
Ñ
8
Ñ
3 % c 8 <  
round(  
p,3)  
g % ` 3 E <  
d " " " "  
8 5 % ` 8 2 5 E <  
3.142  
% A  
¸
min max  
¹
min, max,  
lcm, gcd,  
remainder  
log 10^  
log(1)  
¹
LOG  
% A  
min(.5,.25)  
0.25  
Ô
Ô
1 E <  
% A !  
. 5 E <  
0.  
¸
ln e^  
^
e (.5)  
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R
4
Pr  
R
4
P
Á
¹
1.648721271  
# % k "  
< <  
e
=2.71828182846  
4
P
Á
(5,30)  
Ô
80.53767779  
% I  
g
=
Ô
DR  
-
% n  
% p  
m
o
OP1=Q2+3  
4OP1  
% n V 2 T 3 <  
DEG RAD  
% I "  
4
1
Q
2+3  
Ô
Ô
OP1  
4 m  
Ô
Ô
<
11.  
15.  
RAD  
6Q  
1
2+3  
p
32  
6 m  
g 3 F <  
3 0 = < <  
% B  
p
9Pi.  
RAD  
OP2ÙQ  
2
4OP2  
% p V 2 ! ! ! <  
30  
Ä
Pi  
Ì6  
RAD  
OP2  
sin sin-1  
4 o  
¹
TRIG  
1
2
8.  
RAD  
r
o
¹
Ä Å Æ  
Ä
Å
Æ
< 3 0 =  
< E <  
- % I !  
< 2 g = " " "  
< <  
16.  
RAD  
OP2=  
Q2  
% p! <  
o
sin(30  
Ä
)
Ô
0.5  
RAD  
16  
1
Q2  
DEG RAD  
DR  
32.  
RAD  
r
¹
Ä Å Æ  
Ä
Å
Æ
Æ
%{  
L
%h  
z
CLR VAR: Y N  
CLRVAR  
% {  
2
Àr  
Ô
360.  
¹
¹
A B C D E  
STO 4  
< 1 5 L  
<
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Ä
Å
1 . 5 = !  
15¹A  
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15.  
1.5  
4
DMS  
Ô
< <  
1
Ä
30Å0Æ  
À
g
% B  
A
À
¹
B
C
D
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RCL  
% h  
DEG RAD  
DR  
% I "  
15.  
152  
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< F <  
L "  
¸
tan tan-1  
TRIG  
< % B ! !  
4 5 E <  
% I !  
RAD  
A B C D E  
¹
tan(45)  
1.619775191  
RAD  
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RAD  
A
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tan(45)  
< <  
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176.7145868  
% k  
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R
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Pr  
R
4
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% k  
RÍP  
%‚  
C
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g <  
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3.141592654  
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8
Ô
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nPr  
8
2
3.14  
FIX  
nPr nCr  
8 nPr 3  
52  
!
¹
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3.141592654  
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3 <  
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EE  
1 . 2 3 4 C  
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65  
M
336.  
1.234 x10  
nCr  
%t %w  
v
u
1-VAR: {45, 55, 55, 55}  
nPr nCr  
!
¹
H "  
5 <  
4
1
VAR 2 VAR  
½ ½ ¹  
STAT  
% t  
52 nCr 5  
Ô
Ô
2598960.  
x1=45  
STAT  
frq=1  
STAT  
x2=55  
STAT  
frq=3  
STAT  
Sx  
Ó
Ó
Ó
Ó
DATA  
< v 4 5 <  
$ <  
45.  
1.  
4
!
nPr nCr  
!
¹
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< <  
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<
$ 5 5 <  
$ 3 <  
55.  
4!  
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24.  
3.  
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rand  
STO4rand  
n
Ï
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x
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STAT VAR  
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u " " "  
< V 2 <  
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<
4.330127019  
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xQ2  
8.660254038  
STAT  
¸
RAND RAND (  
[
RAND  
H ! !  
< <  
H !  
3 % ` 5 E <  
¸
CLRDATA  
STAT  
STAT  
RAND  
0.000093165  
STAT  
¸
RAND RAND (  
[
RAND[  
2-VAR: (45,30); (55,25); x  
Å(45)  
1 VAR 2 VAR  
½ ½ ¹  
STAT  
% t "  
< v 4 5 <  
$ 3 0 <  
RAND  
[(3,5)  
4.  
x1=45  
STAT  
Y1=30  
STAT  
x2=55  
STAT  
Y2=25  
STAT  
Ó
Ó
Ó
Ó
DATA  
45.  
30.  
55.  
25.  
$ 5 5 <  
$ 2 5 <  
¸
x
Å
yÅ  
STAT VAR  
u ! !  
< 4 5 E <  
% w  
<
STAT  
(45)  
xÅ  
15.  
STAT  
EXIT ST: Y  
N
EXIT STAT  
STAT  
-7-  
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