Texas Instruments 83CML/ILI/U Guidebook - Page 49

Xp Xà Aà Bà AM BM

Page 49 highlights

Implied Multiplication Parentheses The TI.83 recognizes implied multiplication, so you need not press ¯ to express multiplication in all cases. For example, the TI.83 interprets 2p, 4sin(46), 5(1+2), and (2ä5)7 as implied multiplication. Note: TI.83 implied multiplication rules differ from those of the TI.82. For example, the TI.83 evaluates 1à2X as (1à2)äX, while the TI.82 evaluates 1à2X as 1/(2äX) (Chapter 2). All calculations inside a pair of parentheses are completed first. For example, in the expression 4(1+2), EOS first evaluates the portion inside the parentheses, 1+2, and then multiplies the answer, 3, by 4. Negation You can omit the close parenthesis ( ) ) at the end of an expression. All open parenthetical elements are closed automatically at the end of an expression. This is also true for open parenthetical elements that precede the store or display-conversion instructions. Note: An open parenthesis following a list name, matrix name, or Y= function name does not indicate implied multiplication. It specifies elements in the list (Chapter 11) or matrix (Chapter 10) and specifies a value for which to solve the Y= function. To enter a negative number, use the negation key. Press Ì and then enter the number. On the TI.83, negation is in the third level in the EOS hierarchy. Functions in the first level, such as squaring, are evaluated before negation. For example, MX2, evaluates to a negative number (or 0). Use parentheses to square a negative number. Note: Use the ¹ key for subtraction and the Ì key for negation. If you press ¹ to enter a negative number, as in 9 ¯ ¹ 7, or if you press Ì to indicate subtraction, as in 9 Ì 7, an error occurs. If you press ƒ A Ì ƒ B, it is interpreted as implied multiplication (AäMB). Operating the TI-83 1-23

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Operating the TI
-
83
1-23
The TI
.
83 recognizes implied multiplication, so you need
not press
¯
to express multiplication in all cases. For
example, the TI
.
83 interprets
2
p
,
4sin(46)
,
5(1+2)
, and
(2
ä
5)7
as implied multiplication.
Note:
TI
.
83 implied multiplication rules differ from those of the TI
.
82.
For example, the TI
.
83 evaluates
1
à
2X
as
(1
à
2)
ä
X
, while the TI
.
82
evaluates
1
à
2X
as
1/(2
ä
X)
(Chapter 2).
All calculations inside a pair of parentheses are completed
first. For example, in the expression
4(1+2)
, EOS first
evaluates the portion inside the parentheses,
1+2
, and then
multiplies the answer,
3
, by
4
.
You can omit the close parenthesis (
)
) at the end of an
expression. All open parenthetical elements are closed
automatically at the end of an expression. This is also true
for open parenthetical elements that precede the store or
display-conversion instructions.
Note:
An open parenthesis following a list name, matrix name, or
Y=
function name does not indicate implied multiplication. It specifies
elements in the list (Chapter 11) or matrix (Chapter 10) and specifies a
value for which to solve the
Y=
function.
To enter a negative number, use the negation key. Press
Ì
and then enter the number. On the TI
.
83, negation is in the
third level in the EOS hierarchy. Functions in the first
level, such as squaring, are evaluated before negation.
For example,
M
X
2
, evaluates to a negative number (or 0).
Use parentheses to square a negative number.
Note:
Use the
¹
key for subtraction and the
Ì
key for negation. If
you press
¹
to enter a negative number, as in
9
¯
¹
7
, or if you
press
Ì
to indicate subtraction, as in
9
Ì
7
, an error occurs. If you
press
ƒ
A
Ì
ƒ
B
, it is interpreted as implied multiplication
(
A
ä
M
B
).
Implied
Multiplication
Parentheses
Negation