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 expression.

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

properly and always the same way.

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

wrong answer.

arenthesis “( )”• Used to group

expressions

• Parenthesis can also be shown as brackets.

”[ ] or { }”.

• An example of an expression with parenthesis is:

6 (5+3)• Choose the proper way to

simplify the expression:• 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 expression using exponents is:

5 x 2 Choose the proper way to

simplify the expression:

• 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.• Multiplication is just a

faster way to add.• Choose the proper way to

simplify the expression:

•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.

• Remember to check your division with multiplication.

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

Choose the correct way to simplify the expression:

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 expression.

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

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

Choose the proper way to simplify the equation

(113 + 19) + 81

A. 113 + 19 = 132 132 + 81 = 213

B. 19 + 81 = 100 100 + 113 = 213

Answer: A or B

ubtraction ”-”• Subtraction is

when you take away an equal or smaller amount from a number.

• You can check your subtraction with addition.

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

74 – (12 - 4)The proper way to

simplify this expression 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: