Order of Operations

(P.E.M.D.A.S)

P.E.M.D.A.S.

• “ ”= Parenthesis “()”• “ ”= Exponent

“22”• “ ”= Multiplication “6x8”• “ ”= Division “9÷3”• “ ”= Addition

“7+5”• “ ”= Subtraction “10-4”

What is P.E.M.D.A.S and why do we need

it?P.E.M.D.A.S. is also know as the Order of Operations.

Order of Operations is the order in which you perform

mathematical operations to solve an equation.

We need P.E.M.D.A.S because it helps us solve equations

properly and always the same way.

Remember: Calculate an equation in the wrong order and you will get the

wrong answer.

arenthesis “( )”• Used to group

equations.

• Parenthesis can also be shown as brackets.

”[ ] or { }”.

• An example of an equation with parenthesis is:

6 (5+3)• Choose the proper way to

solve the equation:

• A. 6x5 =30 30 + 3 = 33

• B. 5+3 =8 8 x 6 = 48

Answer:

xponents “22”• Used to multiply the

same number repeatedly.

• Exponent tells how many times a base number is multiplied to itself.

• 5 = 5x5x5 =125

• An example of an equation using exponents is:

5 x 2 Choose the proper way to

solve the equation:

• A. 2 = 4 4x5 = 20

• B. 5 x 2 = 10

10 = 100

Answer:

2

2

2

3

ultiplication “x”• Use the table on the right

to help you.• Choose the proper way to

solve the equation:

•2 + 5 x 3

• A. 5 x 3 = 15 15 + 2 = 17

• B. 2 + 5 = 7 7 x 3 = 21

Answer:

ivision “÷”• Division is splitting

a larger number into smaller parts.

• An example of an equation with division in it is:

Choose the correct way to solve the equation:

12 4 + 2

• A. 4 + 2 = 6 12 6 = 2

• B. 12 4 = 3 3 + 2 = 5

Answer:

ddition “+”• It is tempting to want

to solve addition first in an equation.

• Remember: only solve addition first if it is in parenthesis.

• An example of an equation with addition in it is:

Choose the proper way to solve the equation

(113 + 19) + 81 =?

A. 113 + 19 = 132 132 + 81 = 213B. 19 + 81 = 100 100 + 113 = 213 Answer: A or

B

ubtraction ”-”.

• An example of an equation with subtraction in it is:

74 – (12 - 4)The proper way to solve

this equation is:

A. 74 – 12 = 62 62 – 4 = 58

B. 12 – 4 = 8 74 – 8 = 66

Answer:

Review arenthesis xponents

ultiplication ivision ddition ubtraction

The Order of Operations is:

P.E.M.D.A.S.

Practice6x4÷2+3=?

24÷2+3

12+3

Answer: 15

Practice15÷(6x2-9)=?

15÷(12-9)15÷(3)

Answer: 5

Practice(32+5)÷7=?

(9+5)÷7

14÷7

Answer: 2

Practice7+(6x52+3)=?

7+(6x25+3)7+(150+3)7+(153)

Answer: 160

Practice

(3x6+2)÷5=?

(18+2)÷5

20÷5

Answer: 4

Tips to Remember:

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An easy way to remember PEMDAS is: