( ) +X-

43Order of

Operations

Answer:25+5(10)

$75

You rent a guitar for $25 and then you take 5 guitar lessons that are $10 each. What is your total cost?

The Order of Operations tells us how to do a math problem with more than one operation, in the correct order.

Please Excuse My Dear Aunt Sally

This will help you remember the order of operations.

Add +

Subtract -

Multiply x

Divide

Please Excuse My Dear Aunt Sally

PEMDAS

Parentheses ( ) Exponents 43

Please Excuse My Dear Aunt Sally

Parentheses ( )

Always do parentheses

1st.

Please Excuse My Dear Aunt Sally

Exponents 43

Always do Exponents

2nd.

Multiply x

Divide

Please Excuse My Dear Aunt Sally

Do multiplication and division

3rd, from left to right.

Add +

Subtract -

Please Excuse My Dear Aunt Sally

Do addition and subtraction

4th, from left to right.

Exponent Review

Location of ExponentAn exponent is a little number high and to the right of a base number.

34Base

Exponent

What an Exponent RepresentsAn exponent tells how many times a number is multiplied by itself.

34

= 3 x 3 x 3 x 3

How to read an ExponentThis exponent is read three to the 2nd power or three squared.

32Base

Exponent

How to read an ExponentThis exponent is read three to the 3rd power or three cubed.

33Base

Exponent

Read These Exponents

9 2 6 72 3 5 4

What is the Exponent?

2 × 2 × 2 =23

What is the Exponent?

5 × 5 × 5 × 5 =54

How to Multiply Out an Exponent

= 3 × 3 × 3 × 33

927

81

4

You Try:

5 3=12

5

This problem includes a fraction bar which means we must divide the numerator by the denominator. However, we must first perform all calculations above and below

the fraction bar BEFORE dividing.

312

636

Fraction Bars

PEMDAS

2

312

636

15

30

Let’s Try Some Order of

Operations Problems!

PEMDAS4+5 x (6-2)

4+5 x 44+20

24

PEMDAS

64 (9 x 3-19)64(27 –19)

64 88

PEMDAS3 (9+1) + 623(10)+62

3(10)+3630+3

666

PEMDAS3+23- (9+1)3+23-

103+8-1011-101

PEMDAS

-31

3

2

325

)310(35

2725

13325

2725

1375

2

62

PEMDAS4+ 10 x 23 -164+10 x 8 -164+ 80 -

1684-1668

PEMDAS

21 + 102 1021+10010

21 + 10 31

PEMDAS10+72-2 x 5 10+49–2 x 5 10+49-

10 59 - 1049

PRACTICE