Texas Instruments TI-30 eco RS User manual

1-ENG
30eco_eng_f_d_nl_fin.doc TI-30 eco RS, Config 1: Eng Deu
Fra Nld Bob Fedorisko Revised: 10/21/03 11:06 AM
Printed: 10/21/03 11:18 AM Page 1 of 80
TI-30 eco RS English
Scientific Calculator
Basic Operations
.................................
2
Results
..........................................
2
Basic Arithmetic
..................................
2
Percents
.........................................
3
Fractions
.........................................
3
Powers and Roots
................................
4
Logarithmic Functions
............................
5
Angle Units
.......................................
5
DMS
.............................................
5
Rectangular to Polar
..............................
6
Polar to Rectangular
..............................
6
Trigonometric Functions
..........................
7
Hyperbolic Functions
.............................
7
One-Variable Statistics
............................
7
Probability
........................................
9
Clearing and Correcting
...........................
10
Constants (Repeated Operations)
.................
10
Memory
..........................................
11
Order of Operations
...............................
12
Notation
..........................................
13
Display Indicators
.................................
14
Error Conditions
..................................
15
In Case of Difficulty
...............................
16
TI Product Service and Warranty Information
.......
16

1997, 1999, 2003 Texas Instruments Incorporated

2-ENG
30eco_eng_f_d_nl_fin.doc TI-30 eco RS, Config 1: Eng Deu
Fra Nld Bob Fedorisko Revised: 10/21/03 11:06 AM
Printed: 10/21/03 11:18 AM Page 2 of 80
Basic Operations
TI-30 eco RS
¦
To turn on the TI-30 eco RS, 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-30X eco RS, 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.
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.

3-ENG
30eco_eng_f_d_nl_fin.doc TI-30 eco RS, Config 1: Eng Deu
Fra Nld Bob Fedorisko Revised: 10/21/03 11:06 AM
Printed: 10/21/03 11:18 AM Page 3 of 80
.
Pi is calculated with 12 digits
(3.14159265359), displayed with 10
digits (3.141592654).
2
8 . J
6.283185307
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
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

4-ENG
30eco_eng_f_d_nl_fin.doc TI-30 eco RS, Config 1: Eng Deu
Fra Nld Bob Fedorisko Revised: 10/21/03 11:06 AM
Printed: 10/21/03 11:18 AM Page 4 of 80
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.
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.

5-ENG
30eco_eng_f_d_nl_fin.doc TI-30 eco RS, Config 1: Eng Deu
Fra Nld Bob Fedorisko Revised: 10/21/03 11:06 AM
Printed: 10/21/03 11:18 AM Page 5 of 80
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)
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

6-ENG
30eco_eng_f_d_nl_fin.doc TI-30 eco RS, Config 1: Eng Deu
Fra Nld Bob Fedorisko Revised: 10/21/03 11:06 AM
Printed: 10/21/03 11:18 AM Page 6 of 80
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
"
Temporarily displays current value as
DMS.
30.1525
"
30
¡
09'09"0
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

7-ENG
30eco_eng_f_d_nl_fin.doc TI-30 eco RS, Config 1: Eng Deu
Fra Nld Bob Fedorisko Revised: 10/21/03 11:06 AM
Printed: 10/21/03 11:18 AM Page 7 of 80
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
One-Variable Statistics
" h
Clears all statistical data.
4
Enters a data point.
" a
Removes a data point.
" \
Adds or removes multiple occurrences

8-ENG
30eco_eng_f_d_nl_fin.doc TI-30 eco RS, Config 1: Eng Deu
Fra Nld Bob Fedorisko Revised: 10/21/03 11:06 AM
Printed: 10/21/03 11:18 AM Page 8 of 80
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.
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

9-ENG
30eco_eng_f_d_nl_fin.doc TI-30 eco RS, Config 1: Eng Deu
Fra Nld Bob Fedorisko Revised: 10/21/03 11:06 AM
Printed: 10/21/03 11:18 AM Page 9 of 80
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.

10-ENG
30eco_eng_f_d_nl_fin.doc TI-30 eco RS, Config 1: Eng Deu
Fra Nld Bob Fedorisko Revised: 10/21/03 11:06 AM
Printed: 10/21/03 11:18 AM Page 10 of 80
Clearing and Correcting
&
Clears value (before operation key)
and K, but not M1, M2, M3, or STAT.
& &
Clears display, errors, all pending
operations and K, but not M1, M2, M3, or
STAT.
!
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,
!
or
&
clears K.
8
D
7
" U
K7.
J
K15.
5
J
K12.
6.6
J
K13.6

11-ENG
30eco_eng_f_d_nl_fin.doc TI-30 eco RS, Config 1: Eng Deu
Fra Nld Bob Fedorisko Revised: 10/21/03 11:06 AM
Printed: 10/21/03 11:18 AM Page 11 of 80
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
.
(continued)
@
1 M1 23.
D
3
J
M1 26.
" m
n
Adds displayed value to memory
n
.
(continued)
4
" m
1 M1 4.
@
1 M1 27.
" g
n
Exchanges displayed and memory
values.
(continued)
3
8
5
J
M1 15.
" g
1 M1 27.
" g
1 M1 15.

12-ENG
30eco_eng_f_d_nl_fin.doc TI-30 eco RS, Config 1: Eng Deu
Fra Nld Bob Fedorisko Revised: 10/21/03 11:06 AM
Printed: 10/21/03 11:18 AM Page 12 of 80
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-30 eco RS uses AOS
é
(Algebraic Operating
System). It stores up to 4 pending operations (2 when
STAT is displayed).

13-ENG
30eco_eng_f_d_nl_fin.doc TI-30 eco RS, Config 1: Eng Deu
Fra Nld Bob Fedorisko Revised: 10/21/03 11:06 AM
Printed: 10/21/03 11:18 AM Page 13 of 80
Notation
" o
Selects scientific notation.
12345
J
12345.
" o
SCI 1.2345 04
" p
Selects engineering notation (exponent
is a multiple of 3).
(continued)
" p
ENG 12.345 03
" n
Restores standard notation (floating-
decimal) format.
" {
n
Sets decimal places to
n
(0–9),
retaining notation format.
(continued)
" {
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

14-ENG
30eco_eng_f_d_nl_fin.doc TI-30 eco RS, Config 1: Eng Deu
Fra Nld Bob Fedorisko Revised: 10/21/03 11:06 AM
Printed: 10/21/03 11:18 AM Page 14 of 80
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.
KConstant is active.

15-ENG
30eco_eng_f_d_nl_fin.doc TI-30 eco RS, Config 1: Eng Deu
Fra Nld Bob Fedorisko Revised: 10/21/03 11:06 AM
Printed: 10/21/03 11:18 AM Page 15 of 80
Error Conditions
¦
Number, result, or memory sum
x
, where
|
x
| > 9.999999999 x 1099.
¦
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 yx:
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
-
1or 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
-
1with no data points or
s
xn
-
1with one data point.
¦"
h
with no data points.

16-ENG
30eco_eng_f_d_nl_fin.doc TI-30 eco RS, Config 1: Eng Deu
Fra Nld Bob Fedorisko Revised: 10/21/03 11:06 AM
Printed: 10/21/03 11:18 AM Page 16 of 80
In Case of Difficulty
¦
Review instructions to be certain calculations were
performed properly.
¦
If the display is blank, expose the solar panel to
adequate light. Press
!
and try again.
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:
[email protected]
internet address:
education.ti.com
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.