Properties, Grouping, & PEMDAS (oh my!)

Name That Property

100

4 + 9 = 9 + 4

Commutative

200

(6 × 2) × 5 = 6 × (2 × 5)

Associative

300

3(4 + 2) = (3x4) + (3x2)

Distributive

400

(8 + 1) + 7 = 8 + (1 + 7)

Associative

500

6 x (4 - 3) = 24 - 18

Distributive

Rewrite It

100

Rewrite using commutative property:
9 × 4

4 x 9

200

Rewrite using associative property:
(5 + 6) + 2

5 + (6 + 2)

300

Rewrite using distributive property:
4(3 + 8)

4×3 + 4×8

400

Rewrite using the commutative property and solve:
7 x 8 

8 x 7 = 56 

500

Rewrite 7(4 − 1) using distributive property and solve.

7x4 - 7x1

28 − 7 

21

Grouping Power

100

Solve: (9 + 1) × 2

(9 + 1) × 2
10 x 2
20

200

Solve: 9 + (1 × 2)

9 + (1 × 2)
9 + 2
11

300

Solve: (8 − 3) × 4

(8 − 3) × 4
5 x 4
20

400

Solve: 6 + (3 × 5) − 4

6 + (3 × 5) − 4
6 + 15 - 4
21 - 4
17

500

Solve: (7 + 5) ÷ 3 + 2

(7 + 5) ÷ 3 + 2
12 ÷ 3 + 2
4 + 2
6

Distribute and Solve

100

Solve: 2(5 + 3)

2(5 + 3)
10 + 6
16

200

Solve: 3(7 + 2)

3(7 + 2)
21 + 6
27

300

Solve: 4(6 − 1) 

4(6 − 1)
24 - 4
20

400

Solve: 5(2 + 4) − 3 

5(2 + 4) − 3
10 + 20 - 3
30 - 3
27

500

Solve: 3(4 + 5) + 2 

3(4 + 5) + 2
12 + 15 + 2
27 + 2
29

PEMDAS Practice

100

Solve: 6 + 3 × 2 

6 + 3 × 2
6 + 6
12

200

Solve: (6 + 3) × 2

(6 + 3) × 2
18 x 2
36

300

Solve: 12 − 6 ÷ 3 

12 − 6 ÷ 3
12 - 2
10

400

Solve: 4 + 8 ÷ 2 × 3 

4 + 8 ÷ 2 × 3
4 + 4 x 3
4 + 12
16

500

Solve: (3 + 6) × 2 − 4 ÷ 2 

(3 + 6) × 2 − 4 ÷ 2
9 x 2 - 4 ÷ 2
18 - 4 ÷ 2
18 - 2
16