Order of Operations

Vocabulary

100

What is the 6 letter expression that tells us the order of operations?

PEMDAS

200

What does the A mean in PEMDAS?

Add

300

What are the 3 grouping symbols?

Parenthesis  ( )

Brackets  [ ] 

Braces  { }

400

What does the E mean in PEMDAS?

Exponent

500

What operation should you perform when you have a number next to parenthesis? 

Example: 3(2+1)

Multiplication

First Things First

100

What operation would you do first?

6 + 2 - 5

6 + 2

200

What operation would you do first?

25 ÷ 5 x 2

25 ÷ 5

300

What operation would you do first?

18 +  3 • 2

3 • 2

400

Which operation would you do first?

4 • 3 + 5²

5²

500

Which operation would you do first?

2⁴ • (7 + 4) 

(7 + 4)

Solve Left to Right

100

4 - 2 + 6 =

2 + 6

8

200

5 • 4 ÷ 2 =

20 ÷ 2

10

300

10 ÷ 2 + 4 = 

5 + 4

9

400

20 - 5 • 2 ÷ 5 = 

20 - 10 ÷ 5

20 - 2

18

500

10 + 8 ÷ 4 • 3 - 4

10 + 2 • 3 - 4

10  + 6 - 4

16 - 4

12

Solve with Parenthesis

100

(5 + 5) • 3

10 • 3

30

200

(5 - 4) + (10 • 2)

1 + 20

21

300

15 - (3 + 4) • 2

15 - 7 • 2

15 - 14

1

400

5(4 + 2) - 6

5(6) - 6

30 - 6

24

500

5(2 + 8)(20 ÷ 4)(2)

5(10)(20 ÷ 4)(2)

5 • 10 • 5 • 2

50     •    10 

500

Solve with Exponents

100

4²

4 • 4

16

200

6² + 4

6 • 6 + 4

36 + 4

40

300

5² + (4 • 3)

5² + 12

5 • 5 + 12

25 + 12

37

400

100 - 2²(9 - 6) ÷ 2

100 - 2²(3) ÷ 2

100 - 4(3) ÷ 2

100 - 12 ÷ 2

100 - 6

104

500

(3³ + 3) - (2³ ÷ 4)

(27 + 3) - (2³ ÷ 4)

30 - (8 ÷ 4)

30 - 2

28