Texas Instruments TI30XA - Scientific Calculator User manual

Texas Instruments Holland B.V.
Rutherfordweg 102
3542 CG Utrecht-The Netherlands
Texas Instruments U.S.A.
7800 Banner Dr.
Dallas, TX 75251
D
www.ti.com/calc ti-car[email protected]
© 1998 Texas Instruments
Gedruckt auf Recycling-Papier
30XA/OM/1L5
TI-30Xa/30Xa Solar, English
2.87”
5.38”

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TI30XAUS.DOC MURFE pruning Pat Hatcher Revised:
06/17/99 4:31 PM Printed: 06/17/99 4:32 PM Page 1 of 21
TI-30Xa
and
TI-30Xa SOLAR
Scientific Calculators
Basic Operations
.................................
2
Results
..........................................
3
Basic Arithmetic
..................................
3
Percents
.........................................
4
Fractions
.........................................
5
Powers and Roots
................................
6
Logarithmic Functions
............................
6
Angle Units
.......................................
7
DMS
.............................................
7
Rectangular to Polar
..............................
8
Polar to Rectangular
..............................
8
Trigonometric Functions
..........................
9
Hyperbolic Functions
.............................
9
One-Variable Statistics
............................
10
Probability
........................................
12
Clearing and Correcting
...........................
13
Constants (Repeated Operations)
.................
13
Memory
..........................................
14
Order of Operations
...............................
15
Notation
..........................................
16
Display Indicators
.................................
17
Error Conditions
..................................
18
In Case of Difficulty
...............................
19
Battery Replacement (TI
.
30Xa)
...................
20
TI Product, Service, and Warranty Information
......
21
 1997 Texas Instruments Incorporated

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TI30XAUS.DOC MURFE pruning Pat Hatcher Revised:
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Basic Operations
TI-30Xa (battery)
¦|
turns on the TI-30Xa.
¦}
turns off the TI-30Xa and clears display,
settings, and pending operations, but not memory.
¦
APD™ (Automatic Power Down™) turns off the
TI-30Xa automatically if no key is pressed for about
5 minutes, but does not clear display, settings,
pending operations, or memory.
Note:
|
after APD retrieves display, pending
operations, settings, and memory.
TI-30Xa Solar
¦
To turn on the TI-30Xa Solar, expose the solar
panel to light and press
!
. Note: Always press
!
to clear the calculator because memory and
display may contain incorrect numbers.
¦
To turn off the TI-30Xa Solar, cover the solar panel
with the slide case.
2nd Functions
2nd functions are printed above the keys.
"
selects
the 2nd function of the next key pressed. For example,
2
" t
calculates the cube of 2.

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Results
The calculator can display up to 10 digits plus a minus
sign (
-
9,999,999,999 through 9,999,999,999) and a
2-digit exponent. Results with more than 10 digits
display in scientific notation.
Basic Arithmetic
D > 8 2
60
D
5
8
12
J
120.
J
Completes all pending operations.
With constant (
K
), repeats the
operation and value.
O
Changes sign of value just entered.
1
D
8
O D
12
J
5.
6 7
Parenthetical expression (up to 15
open).
J
closes all open
parentheses.
.
Pi is calculated with 12 digits
(3.14159265359), displayed with 10
digits (3.141592654).
2
8 . J
6.283185307

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TI30XAUS.DOC MURFE pruning Pat Hatcher Revised:
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Percents
Percentage (
5% of 250 )
250
8
5
" u
0.05
J
12.5
Ratio (
Ratio of 250 to 5 )
250
2
5
" u
0.05
J
5000.
Add-On (
5% add-on of 250 )
250
D
5
" u
12.5
J
262.5
Discount (
5% discount of 250 )
250
>
5
" u
12.5
J
237.5

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TI30XAUS.DOC MURFE pruning Pat Hatcher Revised:
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Fractions
b
F
c Enters a proper or improper fraction,
b
à
c (b
{
6 digits, c
{
3 digits). When
possible, improper fractions are
displayed as mixed numbers.
3
F
4 3

4
8
3
J
2

1

4
Single-variable functions display
decimal results.
1
F
2
0
0.25
a
F
b
F
c Enters the mixed fraction a b
à
c.
(a, b, c
{
3 digits each, with the total
digits
{
8).
6
F
4
F
6 6

4

6
J
6

2

3
" s
Toggles display between a mixed
number and an improper fraction.
30
F
4 30

4
" s
7

1

2
" s
15

2
" s
7

1

2
" y
Toggles display between fraction and
decimal.
55
F
24 55

24
" y
2.291666667
" y
2

7

24
If a result would overflow or if fixed decimal is 0, no
fraction to decimal conversion occurs. It is not an error.
Denominator must be a whole number
{
999.

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TI30XAUS.DOC MURFE pruning Pat Hatcher Revised:
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Powers and Roots
/
8
/ D
4
/ J
0.375
0
6
0 D
2
J
38.
1
256
1 D
4
1 J
18.
" t
2
" t D
2
J
10.
" z
8
" z D
4
J
6.
,
5
,
3
J
125.
" Y
8
" Y
3
J
2.
Logarithmic Functions
$
15.32
$
1.185258765
D
12.45
$ J
2.280428117
" R
2
" R >
10
0 J
0.
%
15.32
%
2.729159164
D
12.45
% J
5.250879787
" S
.693
" S
1.999705661
D
1
J
2.999705661
(
e
=2.71828182846)

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TI30XAUS.DOC MURFE pruning Pat Hatcher Revised:
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Angle Units
#
Cycles angle-unit setting between
degrees, radians, and grads
without affecting displayed number.
" Q
Cycles (converts) angle-unit setting
between degrees, radians, and
grads for display, entry, and
calculation.
45
DEG
45
" Q
RAD
0.785398163
" Q
GRAD
50.
" Q
DEG
45.
DMS
Enter DMS (Degrees/Minutes/Seconds) values as
D.MMSSs, using 0s as necessary:
Ddegrees (0–7 digits)
.decimal-point separator
MM minutes (must be 2 digits)
SS seconds (must be 2 digits)
sfractional part of a second
For example, enter 48
¡
5'3.5" as 48.05035.
Note: Before using a DMS value in a calculation, you
must convert it to decimal with
" q
.
" q
Interprets display as DMS and
converts it to decimal.
30.09090
" q
30.1525
" w
Temporarily displays current value as
DMS.
30.1525
" w
30
¡
09'09"0

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TI30XAUS.DOC MURFE pruning Pat Hatcher Revised:
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Rectangular to Polar
" k
converts rectangular coordinates (
x
,
y
) to
polar coordinates (
r
,
q
).
Convert rectangular coordinates ( 10,8 ) to polar.
#
(if necessary) DEG
10
" [
8
DEG
8
" k
(display
r
)DEG r
12.80624847
" [
(display
q
)DEG
38.65980825
Polar to Rectangular
" e
converts polar coordinates (
r
,
q
) to
rectangular coordinates (
x
,
y
).
Convert polar coordinates ( 5,30 ) to rectangular.
#
(if necessary) DEG
5
" [
30
DEG
30
" e
(display
x
)DEG x
4.330127019
" [
(display
y
)DEG
2.5

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TI30XAUS.DOC MURFE pruning Pat Hatcher Revised:
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Trigonometric Functions
Before using the trigonometric functions (
)
,
*
,
+
,
" V
,
" W
, or
" X
), select
DEG
,
RAD
, or
GRAD
with
#
. Note: Before using a DMS
value in a calculation, you must convert it to decimal
with
" q
.
#
(if necessary) DEG
90
)
DEG
1.
>
30
*
DEG
0.866025404
J
DEG
0.133974596
1
" V
DEG
90.
>
.5
J
DEG
89.5
Hyperbolic Functions
To access hyperbolic functions, press
(
and then
the function (
( )
,
( *
,
( +
,
(
"
V
,
( " W
,
( " X
).
Note:
DEG
,
RAD
, or
GRAD
does not affect hyperbolic
calculations.
5
( )
74.20321058
D
2
J
76.20321058
5
( " V
2.312438341
D
2
J
4.312438341

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TI30XAUS.DOC MURFE pruning Pat Hatcher Revised:
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One-Variable Statistics
" h
Clears all statistical data.
4
Enters a data point.
" a
Removes a data point.
" \
Adds or removes multiple occurrences
of a data point.
Enter data point, press
" \
,
enter frequency (1–99), press
4
to
add or
" a
to remove data points.
" c
Sum.
" d
Sum of squares.
" ]
Mean.
" _
Population standard deviation
(n
weighting).
" ^
Sample standard deviation (
n-
1
weighting).
" b
Number of data points.

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TI30XAUS.DOC MURFE pruning Pat Hatcher Revised:
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Find the sum, mean, population standard deviation, and
sample standard deviation
for the data set: 45, 55, 55,
55, 60, 80. The last data point is erroneously entered as
8, removed with
" a
, and then correctly entered
as 80.
" h
(if
STAT
is displayed)
45
4
n= 1
55
" \
3
4
n= 4
60
4
n= 5
8
4
n= 6
8
" a
n= 5
80
4
n= 6
" c
(sum) 350.
" ]
(mean) 58.33333333
" _
(deviation,
n
weighting) 10.67187373
" ^
(deviation,
n-
1 weighting) 11.69045194

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TI30XAUS.DOC MURFE pruning Pat Hatcher Revised:
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Probability
A combination is an arrangement of objects in which
order is not important, as in a hand of cards.
" i
calculates the number of possible combinations of
n
items taken
r
at a time.
Calculate the number of 5-card poker hands that can be
dealt from a deck of 52 cards.
52
" i
5
J
2598960.
A permutation is an arrangement of objects in which
the order is important, as in a race.
" j
calculates
the number of possible permutations of
n
items taken
r
at a time.
Calculate the number of possible permutations for the
1st-, 2nd-, and 3rd-place finishers
( no ties ) in an 8-
horse race.
8
" j
3
J
336.
A factorial is the product of the positive integers from 1
to
n
. (
n
must be a positive whole number

69).
Using the digits 1, 3, 7, and 9 only one time each, how
many 4-digit numbers can you form?
4
" v
24.

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TI30XAUS.DOC MURFE pruning Pat Hatcher Revised:
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Clearing and Correcting
|
(battery)
&
(solar)
Clears value (before operation key)
and
K
, but not
M1
,
M2
,
M3
, or
STAT
.
| |
(battery)
& &
(solar)
Clears display, errors, all pending
operations and
K
, but not
M1
,
M2
,
M3
, or
STAT
.
} |
(battery)
Clears display, errors, all pending
operations,
K
, and
STAT
, but not
M1
,
M2
,
and
M3
. Sets
DEG
angle units, floating-
decimal format.
!
(solar)
Clears display, errors, all pending
operations,
K
,
STAT
,
M1
,
M2
, and
M3
.
Sets
DEG
angle units, floating-decimal
format.
L
Deletes right-most character in
display.
0
:
n
Clears memory
n
.
" n
Clears
SCI
or
ENG
notation.
" { N
Clears
FIX
notation.
" h
Clears all statistical data.
Constants (Repeated Operations)
A constant contains an operation and a value. To
establish a constant, press
" U
after entering the
operation and value.
J
repeats the calculation.
Another operation,
!
(solar),
&
(solar), or
|
(battery) clears
K
.
8
D
7
" U
K
7.
J
K
15.
5
J
K
12.
6.6
J
K
13.6

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TI30XAUS.DOC MURFE pruning Pat Hatcher Revised:
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Memory
The calculator has 3 memories. When a memory
contains a number other than 0,
M1
,
M2
, or
M3
displays.
To clear a single memory, press 0
:
1, 0
:
2, or
0
:
3. To clear all 3 memories (solar only), press
!
.
:
n
Stores displayed value in memory
n
, replacing current value.
23
:
1
M1
23.
D
2
J
M1
25.
@
n
Recalls value in memory
n
.
(
con
ti
nue
d)
@
1
M1
23.
D
3
J
M1
26.
" m
n
Adds displayed value to memory
n
.
(
con
ti
nue
d)
4
" m
1
M1
4.
@
1
M1
27.
" g
n
Exchanges displayed and memory
values.
(
con
ti
nue
d)
3
8
5
J
M1
15.
" g
1
M1
27.
" g
1
M1
15.

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TI30XAUS.DOC MURFE pruning Pat Hatcher Revised:
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Order of Operations
1st Expressions inside parentheses.
2nd Single-variable functions that perform the
calculation and display the result immediately
(square, square root, cube, cube root,
trigonometric, factorial, logarithmic, percent,
reciprocals, angle conversions).
3rd Combinations and permutations.
4th Exponentiation and roots.
5th Multiplication and division.
6th Addition and subtraction.
7th
J
completes all operations.
The TI-30Xa uses AOS
é
(Algebraic Operating System). It stores up to 4 pending operations (2 when
STAT
is displayed).

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TI30XAUS.DOC MURFE pruning Pat Hatcher Revised:
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Notation
" o
Selects scientific notation.
12345
J
12345.
" o
SCI
1.2345
04
" p
Selects engineering notation (exponent
is a multiple of 3).
(
con
ti
nue
d)
" p
ENG
12.345
03
" n
Restores standard notation (floating-
decimal) format.
" {
n
Sets decimal places to
n
(0–9),
retaining notation format.
(
con
ti
nue
d)
" {
2
FIX
12.35
03
" {
4
FIX
12.3450
03
" { N
Removes fixed-decimal setting.
5
Enters exponent.
You can enter a value in floating-decimal, fixed-
decimal, or scientific notation, regardless of display
format. Display format affects only results.
To enter a number in scientific notation:
1. Enter up to 10 digits for base (mantissa). If
negative, press
O
after entering the mantissa.
2. Press
5
.
3. Enter 1 or 2 digit exponent. If negative, press
O
either before or after entering exponent.
1.2345
O 5 O
65
.
1.2345
.
65

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TI30XAUS.DOC MURFE pruning Pat Hatcher Revised:
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Display Indicators
M1
,
M2
, or
M3
A value other than 0 in
M1
,
M2
, or
M3
.
2nd
Calculator will access 2nd function
(printed above key) of next key pressed.
HYP
Calculator will access hyperbolic function
of next key pressed.
SCI
or
ENG
Scientific or engineering notation.
FIX
Fixed-decimal setting.
STAT
Statistical register contains data.
DEG
,
RAD
, or
GRAD
Specifies angle-unit setting (degrees,
radians, or grads). When you turn on the
calculator, angle units are degrees.
x
x
-coordinate of polar to rectangular
conversion.
r
r
-coordinate of rectangular to polar
conversion.
( )
1 or more open parentheses.
Error
Error has occurred. Clear calculator and
begin again.
K
Constant is active.

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TI30XAUS.DOC MURFE pruning Pat Hatcher Revised:
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Error Conditions
¦
Number, result, or memory sum
x
, where
|
x
| > 9.999999999 x 10
99
.
¦
More than 4 pending operations (2 when
STAT
is
displayed) or more than 15 open parentheses per
pending operation.
¦
For x!:
x
not an integer between 0 and 69.
¦
For y
x
:
y
and
x
= 0 or
y
< 0 and
x
not an integer.
¦
For
x
‡
y:
x
= 0 or
y
< 0 and
x
not an odd integer.
¦
Dividing by 0.
¦
For
‡
x:
x
< 0.
¦
For LOG or LN:
x

0.
¦
For TAN:
x
=90
¡
, -90
¡
, 270
¡
, -270
¡
, 450
¡
, etc.
¦
For SIN
-
1
or COS
-
1
: |
x
| > 1.
¦
For TANH
-1
: |
x
|
‚
1.
¦
For R
<
P:
x
or
y
has exponent > 63.
¦
For nCr or nPr:
n
or
r
are not integers
‚
0.
¦
More than 9999 statistical data points.
¦
Statistical data point
x
, where |
x
|
‚
1E64.
¦"
a
to remove the only data point.
¦
Calculating
v
,
s
xn, or
s
xn
- 1
with no data points or
s
xn
- 1
with one data point.
¦"
h
with no data points.

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TI30XAUS.DOC MURFE pruning Pat Hatcher Revised:
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In Case of Difficulty
Review instructions to be certain calculations were
performed properly.
TI-30Xa (battery)
If the display is blank, check for improperly installed
batteries. Press
|
and try again.
TI-30Xa Solar
If the display is blank, expose the solar panel to
adequate light. Press
!
and try again.