Order of Operations

ORDER OF
OPERATIONS
How to do a math problem
with more than one operation in
the correct order.
1
PEMDAS





Remember the order
by the phrase
Please
Excuse
My Dear
Aunt Sally
The “P” and “E”


The “P” stands for items in parenthesis
Do all items in the parenthesis first
(2 + 3)
The “E” stands for Exponents
Do anything that has a exponent (power)
2
8
The “MD”


Represents Multiply and Divide
Do which ever one of these comes first
in the problem
Work these two operations
from left to right
The “AS”



Represents Add and Subtract
Do which ever one of these comes first
Work left to right
8+7-5+2
PEMDAS
P
Which ever comes 1st.
Which ever comes 1st.
– Parentheses
 E – Exponent
 M – Multiply
 D – Divide
 A – Add
 S - Subtract
6
1) 5 + (12 – 3)
5+ 9
14
3) 39 ÷ (9 + 4)
39 ÷ 13
3
2) 8 – 3 • 2 + 7
8 - 6 +7
2 + 7
9
4) 10 + 8 ÷ 2 – 6
10 + 4 - 6
14 - 6
8
6) 36 ÷ (1 + 2)2
36 ÷ 32
36 ÷ 9
4
5) 15 • 103
15 • 1,000
15,000
7)
3 • 104
3 • 10,000
30,000
8) (5 – 1)3 ÷ 4
43 ÷ 4
64 ÷ 4
16
9) 14 + 3(7 -2) – 2 • 5
14 + 3 • 5 - 2 • 5
14 + 15 - 2 • 5
14 + 15 – 10
29 – 10
19