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Order of Operations

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

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

- Parenthesis ()
- Exponent 22
- Multiplication 6x8
- Division 93
- Addition 75
- 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 (53)
- Choose the proper way to simplify the expression
- A. 6x5 30
- 30 3 33
- B. 53 8
- 8 x 6 48
- Answer

xponents 22

2

- 5 x 2
- Choose the proper way to simplify the expression
- A. 2 4
- 4x5 20
- B. 5 x 2 10
- 10 100
- Answer

- 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

2

3

2

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

- 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

- 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

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 -

- 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

- 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

Review

The Order of Operations is P.E.M.D.A.S.

- arenthesis
- xponents
- ultiplication
- ivision
- ddition
- ubtraction

Practice

6x423

- 2423

- 123

Answer 15

Practice

- 15(6x2-9)

- 15(12-9)
- 15(3)
- Answer 5

Practice

(325)7

- (95)7

- 147

Answer 2

Practice

- 7(6x523)

- 7(6x253)
- 7(1503)
- 7(153)
- Answer 160

Practice

- (182)5
- 205

Answer 4

(3x62)5

Tips to Remember

An easy way to remember PEMDAS is

- lease xcuse
- y
- ear unt
- ally