TI -82 Manual Book page 44

EOS™ (Equation Operating System)
The Equation Operating System (EOSé) defines the order in which functions in
expressions are entered and evaluated on the TI.82. EOS lets you enter numbers
and functions in a simple, straightforward sequence.
Order of Evaluation
A function returns a value. EOS evaluates the functions in an expression in
the following order:
1 Functions that are entered after the argument, such as
T
Powers and roots, such as
2
Implied multiplication where the second argument is a number,
3
variable name, list, or matrix or begins with an open parenthesis,
such as
4 Single-argument functions that precede the argument, such as
negation,
5 Implied multiplication where the second argument is a
multiargument function or a single-argument function that
precedes the argument, such as
Permutations (
6
Multiplication and division.
7
8 Addition and subtraction.
9 Relational functions, such as
10 Logic operator
11 Logic operators
Within a priority group, EOS evaluates functions from left to right.
However, two or more single-argument functions that precede the same
argument are evaluated from right to left. For example,
evaluated as
Calculations within a pair of parentheses are evaluated first. Multiargument
functions, such as
1-20 Operating the TI.82
, and conversions.
4A , 3ãBä , (A+B)4
‡
, sin , or
) and combinations (
nPr
and
or
.
sin(fPart(ln 8))
2
nDeriv(A
x
or ‡32
2^5 5
, or 4(A+B) .
log .
2nDeriv(A
> or  .
.
and xor .
,A,6) , are evaluated as they are encountered.
2
,
.
2
or
,A,6) Asin 2
).
nCr
sin fPart ln 8
-1 r
¡
, ! , , ,
.
is