Texas Instruments solar TI-36X User Manual
TI-36X
Scientific Calculator
ý
USER’S GUIDE
2000, 2003 Texas Instruments Incorporated
education.ti.com
ti-cares@ti.com
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Table of Contents
Turning the Calculator On and Off............................1
Alternate Functions...................................................1
Display......................................................................2
Scrolling....................................................................2
Menus.......................................................................3
Fix.............................................................................3
Clearing, Correcting, and Resetting .........................4
Display Indicators .....................................................5
Order of Operations..................................................6
Basic Operations ......................................................7
Last Answer..............................................................7
Percent .....................................................................9
Fractions.................................................................10
Exponents, Roots, and Reciprocals .......................11
Notation ..................................................................12
Pi ............................................................................13
Memory...................................................................14
Stored Operations ..................................................16
Logarithms..............................................................18
Trigonometric Functions .........................................20
Angle Modes...........................................................22
Rectangular
Hyperbolic Functions ..............................................25
Metric Conversions.................................................26
Physical Constants .................................................28
Integrals..................................................................30
Probability...............................................................32
Statistics .................................................................34
Boolean Logic Operations ......................................39
Number-System Modes..........................................40
Complex Numbers..................................................41
Error Conditions......................................................43
In Case of Difficulty.................................................45
Battery Replacement ..............................................45
Service Information.................................................46
Polar ................................................ 24
/
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Turning the Calculator On and Off
The TI-36X ü is battery powered.
To turn on the TI-36X ü, press T.
•
To turn off the TI-36X ü, press
•
memory is retained.
APD
(Automatic Power Downé) turns off the
é
TI-36X
automatically if no key is pressed for about
ü
five minutes. Press
the display, pending operations, settings, and memory
are retained.
after APD to power up again;
T
%r
. All data in
Alternate Functions
Most keys can perform two functions. The first function
is marked on the key, and the second function is
marked above the key, as illustrated below.
2nd function
ì
Primary function
Press % to activate the second function of a key. To
cancel the second function before making an entry,
press
shown in brackets ([ ]). For example, press
the square of a number. Press
square root of a number.
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again. In this manual, second functions are
%
1
P
%n
to find
P
to find the
Display
The TI-36X ü has a two-line display. The first line
Entry Line
(
items (47 for
on the left; those with more than 11 digits scroll to the
left. You can have as many as 23 levels of parentheses
and up to 8 mathematical operations pending.
The second line (
10 digits, plus a decimal point, a negative sign, a
indicator, and a 2-digit positive or negative exponent.
Results that exceed the digit limit are displayed in
scientific notation.
Note
are shown in decimal format consistent with the
calculator display.
) displays an entry of up to 88 digits or
Stat
or Stored Operations). Entries begin
Result Line
: In the text, numbers containing decimal fractions
) displays a result of up to
x10
Scrolling
Scroll with ", !, #, and $.
Press " and ! to scroll horizontally through the
•
current or previous entries, or to move the
underscore within a menu list. Press
to move the cursor to the beginning or end
%!
of the entry.
After an expression is evaluated, press # and
•
to scroll through previous entries, which are stored
in the TI-36X
and press
new expression and return the new result.
history. If you edit a previous entry
ü
, the calculator will evaluate the
V
%"
or
$
2
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Menus
Some key presses access menus: S,
e, -, 8, &, /, .
%p, %d, %^, %m
%], %6, %f, %h
%Z, %t, %\
The menu choices are displayed on the screen. Press
or ! to scroll through the menu and underline an
"
item. To select an underlined item:
Press V while the item is underlined. Or,
•
For menu items followed by an argument value,
•
enter the argument value while the item is
underlined. The item and the argument value are
transferred to the current entry. However, if the
argument is another function, you need to press
to select the first function before proceeding
V
to the next.
To return to the previous screen without selecting the
menu item, press
4
.
, and
R
,
%q
,
,
%s
,
,
.
Fix
displays a menu:
%t
displayed results, scroll with
desired number of decimal places, or enter the numeral
corresponding to the desired number of decimal places.
The displayed value is padded with zeroes if needed.
To restore standard notation (floating decimal), select
(default) in the menu, or press
You can specify rounding places before you begin your
calculations, before you complete an operation with
, or after the results are displayed.
V
F0123456789
"
. To round
or ! to select the
%tI
.
F
3
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Clearing, Correcting, and Resetting
Key Action
4
'
%[
%s
"V
or
T&4
(simultaneously)
You can overwrite entries. Move the cursor to the
desired location and begin pressing keys. The new
keypresses will overwrite the existing entry, character
by character.
Before beginning a new set of examples or problems in
this manual, reset the calculator to ensure that your
displays will be the same as those shown.
Action depends on position of the cursor.
If cursor is in the middle of an entry,
•
clears character under the cursor and
all characters to the right of the
cursor.
If cursor is at the end of an entry,
•
clears the entire entry.
Error
If an
•
message is displayed,
clears the error message and moves
the cursor to last entry in history.
If a menu is displayed, exits menu.
•
If the cursor is on a character, deletes
•
the character under the cursor.
If the cursor is at the end of an entry,
•
deletes the character to the left of the
cursor.
Lets you insert one or more characters at
the cursor.
Resets the TI-36X
. Returns unit to
ü
default settings; clears memory variables,
pending operations, all entries in history,
statistical data,
operations.
Ans
, and stored
MEM CLEARED
is displayed.
4
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Display Indicators
Special indicators may appear in the display to provide
additional information about functions or results.
Indicator Meaning
2nd
FIX
SCI or ENG
STAT
DEG, RAD
GRAD
or
HEX or OCT
x10
#
$
"
!
r or i
µ
2nd function is active.
Calculator is rounding results to
specified number of places.
Scientific or engineering notation is
active.
Calculator is in Statistics mode.
Specifies angle-unit setting (degrees,
,
radians, or grads). The default is the
degree setting.
Calculator is in hexadecimal or octal
mode.
Precedes the exponent in scientific or
engineering notation.
An entry is stored in memory before
and/or after the active screen. Press
and $ to scroll.
An entry or menu list extends beyond
the capacity of the screen. Press
to scroll.
!
"
Complex number, real part, or
complex number, imaginary part.
Calculator is busy.
#
and
5
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Order of Operations
The TI-36X ü uses EOSè (Equation Operating
System) to evaluate expressions.
Order Evaluation
1st Expressions inside parentheses.
2nd Functions which need a ) and precede the
argument, such as
menu items; Boolean Logic
complement.
3rd Fractions.
4th Functions that are entered after the argument,
such as x
metric conversions.
5th Exponentiation (^) and roots (
6th Negation (L).
7th Permutations (
8th Multiplication, implied multiplication, division.
9th Addition and subtraction.
10th Boolean logic
11th
Boolean logic
12th Conversions (
13th
completes all operations and closes all
V
open parentheses.
You can change the order of operations by enclosing
expressions in parentheses.
sin, log
2
and angle unit modifiers (é ê ë
nPr
) and combinations (
AND
.
XOR
and OR.
d
Ab/
/
,
4
/
4F/
c
e
, and all
NOT
and
x
).
‡
D, 4DMS
R
/
2’s
).
P
nCr
r g
);
).
6
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Basic Operations
As you press keys, numerals, operators, and results
appear on the display.
,
H, ?, @, A, B
Enters numerals 0 through 9.
C, D, E, F, G
:, ;, <, =
Adds, subtracts, multiplies,
divides.
N, O
Opens, closes a parenthetical
expression.
I
J
V
Inserts the decimal point.
Enters a negative sign.
Completes all operations.
Last Answer
recalls the value of the most recently
%u
calculated result and enters it into the current entry as
Ans
.
If you press an operator key immediately after
completing an operation with
calculated result is recalled and entered as
, the most recently
V
Ans
.
7
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³
5<9:6;2
<N9:6O;2V
5
V
W887<
%t""""
V
:%u%t
5<2
V
%tI
###
"""'%[8V
%s"V
5è9+6-2
5è(9+6)-2
Ansñ8.7
8.390804598
F0123456789
Ansñ8.7
FIX DEG
5è2+Ans
6
FIX DEG
5è29
2+Ans
5è(9+6)-2
5è(8+6)-2
MEM CLEARED
Examples
ß
49.
DEG
ß
73.
DEG
ß
DEG
DEG
ß
8.391
ß
18.390805
ß
18.3908046
DEG
ø
DEG
ß
68.
DEG
DEG
8
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Percent
To calculate a percent, press
after entering a
%l
value.
³
Problem
A mining company mines 5000 tons of ore having a
3-percent concentration of metal, 7300 tons having a
2.3-percent concentration, and 8400 tons having a
3.1-percent concentration. How much metal does the
company get in total from the three quantities of ore?
If the metal is worth $280 per ton, what is the value of
the total amount of metal present in the three quantities
of ore?
5000<3
:
7300<2I3
V
:
8400<3I1
V
<
V
280
%lV
%l
%l
5000è3%
Ans+7300è2.
Ans+8400è3.
Ansè280
150.
DEG
Þß
317.9
DEG
Þß
578.3
DEG
161924.
DEG
ß
ß
The three quantities of ore together contain 578.3 tons
of metal. The value of the metal is $161924.
9
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Fractions
Fractional calculations can display fractional or decimal
results. Results are automatically simplified.
1
%`
%_
If a problem contains both fractions and decimals, the
results will be displayed in decimal format.
³
41315:211
V
5
%`V
%_V
<J3110V
Enters a fraction. Press 1 after
entering whole number, and between
numerator and denominator, both of
which must be positive integers. To
negate a fraction or a mixed number,
press
before entering the first
J
argument.
Converts from mixed number to simple
fraction, and vice versa.
Converts from fraction to decimal format
and vice versa.
Note:
Due to display
size, not all decimal numbers can be
converted to fractions.
Examples
1
4ç3ç5+2ç1ç5
ß
6ð4ñ5
DEG
ß
d
c
Ans4Ab/
c
/
34
34ñ5
DEG
3ç10
M
DEG
M
DEG
ß
6.8
ß
2.04
Ans4F34D
Ans
è
10
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Exponents, Roots, and Reciprocals
P
K
Calculates the square of a value.
Raises a value to any power within the range
of the calculator. If the number is negative,
the power must be an integer. If you include
an operation in the exponent, you must use
parentheses.
%n
Calculates the square root of a positive
value.
%j
Calculates any root of any positive value
(within the range of the calculator) and any
odd-numbered integer root of a negative
value.
%k
Yields the reciprocal of a value.
³
P:4KN2:1OV
5
%n49OV
%j64V
6
%kV
25
Examples
52+4^(2+1)
DEG
ì
(49)
DEG
x
ì
6
64
DEG
-1
25
DEG
ß
89.
ß
7.
ß
2.
ß
0.04
11
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Notation
%Z
displays the
Numeric Notation
mode
menu.
FLO
(default): Displays results in floating notation,
•
with digits to the left and right of the decimal point.
SCI
: Displays results in scientific notation. The
•
format of scientific notation is
1{n<10
and p is an integer.
ENG
: Engineering notation (exponent is a multiple
•
n x 10^p
, where
of 3).
only
These modes affect
the display of results, and not
the internally stored results.
lets you enter a value in scientific notation,
M
regardless of the numeric notation mode. Press
J
before entering a negative exponent.
³
1I2M5+4I6M7
%Z"V
%Z"V
V
Examples
1.2E5+4.6E7
46120000.
DEG
1.2E5+4.6E7
4.612
X10
SCI DEG
1.2E5+4.6E7
46.12
X10
ENG DEG
ß
ß
07
ß
06
12
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Pi
enters the value of p. It is stored internally to 13
5
digits (
3.141592653590
(
3.141592654
When multiplying
press
; multiplication is implicit.
<
³
Find the circumference and the area of a circle having a
radius of 5 centimeters. Find the surface area of a
sphere having a radius of 5 centimeters. (Remember:
circumference=2
Fix
Use the
function to display results rounded to the
nearest whole number.
%t"V25<
V
#'"""PV
#%[4V
The circumference of the circle is 31 centimeters, and
the area is 79 square centimeters. The surface area of
the sphere is 314 square centimeters.
) and displayed to 10 digits
).
by a number, you do not need to
p
r; area =pr 2; surface area=(4p)r 2.)
p
2
5
è
5
p
FIX DEG
2
5
è
p
FIX DEG
2
4
5
è
p
FIX DEG
Examples
ß
31.
ß
79.
ß
314.
13
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