E-30
k
Order of Operations
Calculations are performed in the following order of prec-
edence.
1
Coordinate transformation: Pol (
x
,
y
), Rec (
r
,
θ
)
2
Type A functions:
With these functions, the value is entered and then the
function key is pressed.
x
3
,
x
2
,
x
1
,
x
!,
°
’ ”
m
,
m
1
,
m
2
,
n
Angle unit conversions (DRG
'
)
3
Powers and roots:
^ (
x
y
)
,
x
4
a
b
/
c
5
Abbreviated multiplication format in front of
π
,
e
(natu-
ral logarithm base), memory name, or variable name:
2
π
, 3
e
, 5A,
π
A, etc.
6
Type B functions:
With these functions, the function key is pressed and
then the value is entered.
,
3
, log, In,
e
x
, 10
x
, sin, cos, tan, sin
1
, cos
1
,
tan
1
, sinh, cosh, tanh, sinh
1
, cosh
1
, tanh
1
, (
)
7
Abbreviated multiplication format in front of Type B func-
tions: 2
3, Alog2, etc.
8
Permutation and combination:
n
P
r
,
n
C
r
9
,
0
,
• Operations of the same precedence are performed from
right to left.
e
x
In
120
→
e
x
{In(
120)}
• Other operations are performed from left to right.
• Operations enclosed in parentheses are performed first.
• When a calculation contains an argument that is
a negative number, the negative number must be
enclosed within parentheses. The negative sign (–) is
treated as a Type B function, so particular care is
required when the calculation includes a high-priority
Type A function, or power or root operations.
Example:
( –2)
4
= 16
–2
4
= –16