Order of Operations and Properties Review

Order of Operations

100

12 + 8 divided by 2

16

200

3² x 5 + 10 -7

48

300

12 + (28-15) + 4 x 2

33

400

John says the answer to 1 + 3 x (6+2) - 7 is 25. Is he correct or incorrect? Explain why.

John is incorrect because he added 1 + 3 before multiplying 3 x 8.

500

Where would you add parenthesis to make the equation true?

2³ + 6 - 5 x 4 = 12

Around 6-5

2³ + (6 - 5) x 4 = 12

Commutative & Associative Property

100

8 + 13 + 7 + 12

40

200

6 x 5 x 14

420

300

Mr. Larry bought 2 cases of pencils. Each case has 20 boxes. In each box, there is 10 pencils. How many pencils did Mr. Larry buy?

Mr. Larry bought 400 pencils.

400

44 + 12 + 6 + 18

80

500

18 × 4 × 10

720

Distributive Property

100

4 x 27

108

200

7 x 51

357

300

Josh's parents are saving money to by 4 new lamps for their living room. Each lamp cost $52. How much money will all of the lamps cost?

They will cost $208.

400

Explain why you distribute the 5 in 5 × (50 + 3), but NOT in (5 × 50) + 3.

Because in the first expression, the 5 is multiplying the entire group. In the second, the parentheses show the 5 is only multiplying the 50.

500

8 x 199

1,592