Multiplication Properties

Commutative Property

100

4 x 6 = 6 x 4

24

200

8 x 4 = 4 x 8 

32

300

2 x 3 = 3 x 2

6

400

9 x 7 = 7 x 9 

63

500

11 x 3 = 3 x 11

33

Associative Property

100

3 x 5 x 2 

3 x 5 = 15, 15 x 2 = 30

5 x 2 = 10, 3 x 10 = 30 

30

200

4 x 7 x 8 

4 x 7 = 28, 28 x 8 = 224

7 x 8 = 56, 56 x 4 = 224

224

300

9 x 3 x 2

9 x 3 = 27, 27 x 2 = 54

3 x 2 = 6, 6 x 9 = 54

54

400

5 x 4 x 6

5 x 4 = 20, 20 x 6 = 120

4 x 6 = 24, 24 x 5 = 120

120

500

8 x 7 x 9

8 x 7 = 56, 56 x 9 = 504

7 x 9 = 63, 63 x 8 = 504

504

Distributive Property

100

8 x (5 + 2) 

8 x 5 = 40, 8 x 2= 16

40 + 16 = 56

56

200

7 x (4 + 3)

7 x 4 = 28, 7 x 3 = 21

28 + 21 = 49

49

300

9 x (6 + 7)

9 x 6 = 54, 9 x 7 = 63

63 + 54 = 117

117

400

7 x (3 + 5)

7 x 3 = 21, 5 x 7 = 35

35 + 21 = 56

56

500

11 x (12 + 14) 

11 x 12 = 132, 11 x 14 = 154

154 + 132 = 286

286

Identity Property

100

5 x a = 15

a=3

200

6 x a = 24

a=4

300

9 x a = 72

a=8

400

10 x a = 100

a=10

500

12 x a = 156

a=13

Word Problems

100

What is the commutative property for 5 x 3? 

3 x 5

200

What is the identity property of 6 x a = 36

6

300

What is the associative property of 5 x 4 x 2

5 x 4 = 20, 20 x 2 = 40

4 x 2 = 8, 8 x 5 = 40

40

400

What is the distributive property of 9 x (5 + 8)

9 x 5 = 45, 9 x 8 = 72

72 + 45 = 117

117

500

A baker makes a total of 120 cupcakes. She places the cupcakes onto 10 different trays. How many cupcakes are on each tray?

12

120/10= 12