ORDER OF ORDER OF OPERATIONSOPERATIONS

How to do a math problem How to do a math problem with more than one with more than one operation in the correct operation in the correct

order. order.

PEMDASPEMDAS

Remember the Remember the order by the order by the phrasephrase

PleasePlease Excuse Excuse My DearMy Dear Aunt SallyAunt Sally

The “P” and “E”The “P” and “E”

The “P” stands for items in The “P” stands for items in parenthesisparenthesis

Do all items in the parenthesis Do all items in the parenthesis firstfirst

The “E” stands for ExponentsDo anything that has a exponent

(power)82

The “MD”The “MD” Represents Represents Multiply and DivideMultiply and Divide Do Do which everwhich ever one of these comes one of these comes

first in the problemfirst in the problem

Work these two operationsfrom left to right – “first come, first serve”

The “AS”The “AS”

Represents Represents Add and SubtractAdd and Subtract Do which ever one of these comes Do which ever one of these comes

firstfirst Work left to rightWork left to right

1) 5 + (12 – 3)1) 5 + (12 – 3)

5 + 95 + 9

1414

2) 8 – 3 • 2 + 72) 8 – 3 • 2 + 7

8 - 6 + 78 - 6 + 7

2 + 72 + 7

993) 39 ÷ (9 + 3) 39 ÷ (9 +

4)4)

39 ÷ 1339 ÷ 13

33

4)4) 10 + 8 ÷ 2 – 610 + 8 ÷ 2 – 6 10 + 4 - 610 + 4 - 6 14 - 614 - 6 88

5)5) 15 • 1015 • 1033 15 • 15 •

1,0001,000 15,00015,000

6)6) 36 ÷ (1 + 36 ÷ (1 + 2)2)22

36 ÷ 336 ÷ 322

36 ÷ 936 ÷ 9 44

7) 3 • 107) 3 • 1044

3 • 3 • 10,00010,000

30,00030,000

8)8) (5 – 1)(5 – 1)33 ÷ ÷ 44

4433 ÷ 4 ÷ 4

64 ÷ 464 ÷ 4

1616

9)9) 14 + 3(7 -2) – 2 14 + 3(7 -2) – 2 • 5• 5

14 + 3 • 5 - 2 14 + 3 • 5 - 2 • 5• 5

14 + 15 - 2 • 14 + 15 - 2 • 55

14 + 15 – 1014 + 15 – 10

29 – 1029 – 10

1919