Texas instruments TI-30 eco RS User Manual

TI-30 eco RS English
Scientific Calculator
Basic Operations Results Basic Arithmetic Percents Fractions Powers and Roots Logarithmic Functions Angle Units DMS
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Rectangular to Polar Polar to Rectangular Trigonometric Functions Hyperbolic Functions One-Variable Statistics Probability Clearing and Correcting Constants (Repeated Operations) Memory Order of Operations Notation Display Indicators Error Conditions In Case of Difficulty
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TI Product Service and Warranty Information
1997, 1999, 2003 Texas Instruments Incorporated
.......
1-ENG
Basic Operations
TI-30 eco RS
To turn on the TI-30 eco RS, expose the solar panel
¦
to light and 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. the 2nd function of the next key pressed. For example, 2
calculates the cube of 2.
" t
!
Note:
.
Always press
"
selects
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 J
O
6 7
60 D 5 8 12 Completes all pending operations.
With constant ( operation and value.
Changes sign of value just entered. 1
D
Parenthetical expression (up to 15 open). parentheses.
J
), repeats the
K
8 O D 12
closes all open
J
J
120.
5.
2-ENG
.
Percents
Percentage
5 "
250
8
J
Pi is calculated with 12 digits (3.14159265359), displayed with 10 digits (3.141592654).
2
5% of 250
(
u
8 . J
)
6.283185307
0.05
12.5
Ratio of 250 to 5
(
Ratio
5 "
250
2
J
(
Add-On
5 "
250
D
J
Discount
250
5 "
>
J
5% add-on of 250
5% discount of 250
(
u
u
u
)
0.05
5000.
)
12.5
262.5
)
12.5
237.5
Fractions
b F c Enters a proper or improper fraction,
6 digits,
à
{
c (b
b
possible, improper fractions are displayed as mixed numbers.
3
4
F
3 J
8
Single-variable functions display decimal results.
1
2
F
0
3-ENG
3 digits). When
{
c
1
0.25
a F b F c Enters the mixed fraction
" s
" y
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
3 digits each, with the total
(
{
a, b, c
digits
8).
{
6
4 F 6
F
J
Toggles display between a mixed number and an improper fraction.
30
4
F " s " s
" s
Toggles display between fraction and decimal.
55
24
F " y " y
{
.
à
a b
4
2
30
1
15
712
55
2.291666667
7
999.
24
24
Powers and Roots
/ 0 1 " t " z , " Y
8 / D 4 / 6 0 D 2 256 1 D 4 1 2 " t D 2 8 " z D 4 5 , 3 8 " Y 3
J
J
J
J
0.375
38.
J
J
J
18.
10.
6.
125.
2.
4-ENG
Logarithmic Functions
$
" R %
" S
15.32 $
12.45 $
D
2 " R > 10 0
15.32 %
12.45 %
D
.693 " S
1
D
(e=2.71828182846)
J
J
J
1.185258765
2.280428117
J
2.729159164
5.250879787
1.999705661
2.999705661
0.
Angle Units
#
" Q
Cycles angle-unit setting between degrees, radians, and grads without affecting displayed number.
Cycles (converts) angle-unit setting between degrees, radians, and grads for display, entry, and calculation.
45
" Q " Q " Q
DEG
0.785398163
RAD
GRAD
DEG
45
50.
45.
DMS
Enter DMS (Degrees/Minutes/Seconds) values as
D.MMSSs
, using 0s as necessary:
D . MM SS s
degrees (0–7 digits) decimal-point separator minutes (must be 2 digits) seconds (must be 2 digits) fractional part of a second
5-ENG
For example, enter 48¡5'3.5" as
Before using a DMS value in a calculation, you
Note:
must convert it to decimal with
" q
Interprets display as DMS and
" q
48.05035
.
.
converts it to decimal.
30.09090
" w
" q
Temporarily displays current value as
30.1525
DMS.
30.1525
" w
30¡09'09"0
Rectangular to Polar
converts rectangular coordinates (
" k
polar coordinates (
Convert rectangular coordinates
(if necessary)
#
10 " [ 8
(display r)
" k
(display q)
" [
r,q
).
(
10,8) to polar.
DEG
DEG
DEG r
DEG
x,y
12.80624847
38.65980825
Polar to Rectangular
converts polar coordinates (r,q) to
" e
rectangular coordinates (
Convert polar coordinates (5,30) to rectangular.
(if necessary)
#
5 " [ 30
(display x)
" e
(display y)
" [
).
x,y
6-ENG
DEG
DEG
DEG x
DEG
4.330127019
) to
30
2.5
Trigonometric Functions
Before using the trigonometric functions (), *,
+, " V, " W
, or
DEG, RAD
GRAD
with #.
, or " X), select
Note:
Before using a DMS value in a calculation, you must convert it to decimal with
" q
(if necessary)
#
90 )
30
>
*
J
1 "
.5
>
J
V
.
DEG
DEG
DEG
DEG
DEG
DEG
0.866025404
0.133974596
1.
90.
89.5
Hyperbolic Functions
To access hyperbolic functions, press ( and then the function (
"
Note:
( ), ( *, ( +, (
V, ( " W, ( " X).
, or
DEG, RAD
does not affect hyperbolic
GRAD
calculations.
5
( )
2
D
J
5 ( "
2
D
J
V
74.20321058
76.20321058
2.312438341
4.312438341
One-Variable Statistics
" h 4 " a " \
Clears all statistical data. Enters a data point. Removes a data point. Adds or removes multiple occurrences
7-ENG
of a data point.
" c " d " ] " _
" ^
Enter data point, press
" \
enter frequency (1–99), press add or
to remove data points.
" a
Sum. Sum of squares. Mean. Population standard deviation
weighting).
n
( Sample standard deviation (n-1
4
,
to
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
, and then correctly entered
" a
as 80.
STAT
(if
" h
45
4
55
" \
60
4
8
4
8
" a
80
4 " c " ] " _ " ^
is displayed)
n= 1
3
4
n= 4 n= 5 n= 6 n= 5 n= 6
(sum)
(mean)
(deviation, n weighting)
(deviation, n-1 weighting)
350.
58.33333333
10.67187373
11.69045194
8-ENG
Probability
combination
A order is not important, as in a hand of cards. calculates the number of possible combinations of items taken
Calculate the number of 5-card poker hands that can be dealt from a deck of 52 cards.
52 " i 5
permutation
A the order is important, as in a race. the number of possible permutations of at a time.
Calculate the number of possible permutations for the 1st-, 2nd-, and 3rd-place finishers horse race.
8 " j 3
factorial
A to
. (n must be a positive whole number  69).
n
Using the digits 1, 3, 7, and 9 only one time each, how many 4-digit numbers can you form?
4 "
is an arrangement of objects in which
at a time.
r
J
is an arrangement of objects in which
(
J
is the product of the positive integers from 1
v
" i
2598960.
calculates
" j
items taken
n
no ties) in an 8-
n
336.
24.
r
9-ENG
Clearing and Correcting
&
& &
!
L
0 :
" n " { N " h
Clears value (before operation key) and
, but not M1, M2, M3, or
K
Clears display, errors, all pending operations and
.
STAT
, but not M1, M2, M3, or
K
Clears display, errors, all pending operations, Sets
K, STAT, M1, M2
angle units, floating-decimal
DEG
format. Deletes right-most character in
display. Clears memory n.
n
Clears
or
notation.
SCI
ENG
Clears
notation.
FIX
Clears all statistical data.
STAT
, and M3.
.
Constants (Repeated Operations)
A constant contains an operation and a value. To establish a constant, press operation and value. Another operation,
7 "
8
D
U
repeats the calculation.
J
or & clears K.
!
J
5
J
6.6
J
after entering the
" U
K
K
K
K
7.
15.
12.
13.6
10-ENG
Memory
The calculator has 3 memories. When a memory contains a number other than 0, To clear a single memory, press 0 0
3. To clear all 3 memories (solar only), press
:
.
!
:
n
Stores displayed value in memory
,
n
23
D
@
n
Recalls value in memory n.
(continued)
@ D
" m
Adds displayed value to memory n.
n
(continued)
M1, M2
:
replacing current value.
1
:
2
J
1
3
J
4 " m 1
1
@
" g
Exchanges displayed and memory
n
, or
displays.
M3
1, 0 : 2, or
M1
M1
M1
M1
M1
M1
23.
25.
23.
26.
27.
.
values.
(continued)
3 8 5
J " g " g
1 1
M1
M1
M1
15.
27.
15.
11-ENG
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
The TI-30 eco RS uses AOSé (Algebraic Operating System). It stores up to 4 pending operations (2 when
STAT
completes all operations.
J
is displayed).
12-ENG
Notation
" o
" p
" n
" {
" { N 5
You can enter a value in floating-decimal, fixed­decimal, 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
2. Press
3. Enter 1 or 2 digit exponent. If negative, press
either before or after entering exponent.
1.2345
Selects scientific notation. 12345
J
" o
SCI
Selects engineering notation (exponent is a multiple of 3).
(continued)
" p
ENG
Restores standard notation (floating­decimal) format.
nSets decimal places to n (0–9),
retaining notation format.
(continued)
2
" { " {
4
FIX
FIX
Removes fixed-decimal setting. Enters exponent.
after entering the mantissa.
O
.
5
O 5 O
65
.
12345.
1.2345
12.345
12.35
12.3450
O
1.2345 .65
04
03
03
03
13-ENG
Display Indicators
, or M3A value other than 0 in
M1, M2
2nd
HYP
or
SCI
FIX
STAT
DEG, RAD GRAD
x
r
( )
Error
K
Calculator will access 2nd function (printed above key) of next key pressed.
Calculator will access hyperbolic function of next key pressed.
Scientific or engineering notation.
ENG
Fixed-decimal setting. Statistical register contains data.
, or
Specifies angle-unit setting (degrees, radians, or grads). When you turn on the calculator, angle units are degrees.
-coordinate of polar to rectangular
conversion.
-coordinate of rectangular to polar
r
conversion. 1 or more open parentheses. Error has occurred. Clear calculator and
begin again. Constant is active.
M1, M2
, or M3.
14-ENG
Error Conditions
¦
Number, result, or memory sum x, where |
| > 9.999999999 x 1099.
¦
More than 4 pending operations (2 when 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
¦
For
¦
Dividing by 0.
¦
For ‡x:
¦
For LOG or LN: x  0.
¦
For TAN: x=90¡, -90¡, 270¡, -270¡, 450¡, etc.
¦
For SIN
¦
For TANH-1: |x| ‚ 1.
¦
For R<P: x or
¦
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
¦
Calculating v, sxn, or sxn
sxn-
1
¦
" h
= 0 or
< 0 and
y:
= 0 or
1
-
or COS
to remove the only data point.
with one data point.
< 0 and
< 0.
1
-
: |x| > 1.
y
has exponent > 63.
with no data points.
not an odd integer.
-
1
with no data points or
is
STAT
not an integer.
15-ENG
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: 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.
ti-cares@ti.com
education.ti.com
16-ENG
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