Practice

1. 17 x 2 = 2 x 17

2. (3 + 6) + 10 = 3 + (6 + 10)

3. 24 x 1 = 24

4. 16 + 0 = 16

5. 3(20 + 4) = (3 x 20) = (3 x 4)

6. (3 x 15)4 = 3(15 x 4)

7. 5 + (85 + 16) = (85 +16) + 5

8. 40 x 1 = 40

9. 9 x (10 x6) = (9 x 10) x 6

10. 50 + 0 = 50

11. (19 + 76) + 24 = 19 + (76 + 24)

12. 8 x 4 = 4 x 8

13. 90 + 2 = 2 + 90

14. 7(30 +6) = (7 x 30) + (7 x 6)


Homework

Distributive Property

Example: 2(7 + 4) = (2 x 7) + ( 2 x 4)

Communtative Property

Example: 4 + 3 = 3 + 4

Associative Property

Example: (3 + 4) + 5 = 3 + (4 + 5)

Additive Identity

Example: 5 + 0 = 5

Multiplicative Identity

Example: 7 x 1 + 7
Rewrite using the Distributive Property then solve.
1. 5(20 + 8)

2. 3(50 + 8)

3. (12 x 40) + (12 x 2)

4. (4 x 3) + (4 x 2)

Identify the property of each equation.
5. 7 x 8 = 8 x 7
6. 4 + 5 = 5 + 4
7. 14 + 27 + 16 = 27 + 16 + 14
8. 9 x 1 = 9
9. (7 x 2) x 4 = 7 x (2 x 4)
10. 2 x 3 x 4 = 2 x 4 x 3
11. 0 + 11 = 11
12. (6 x 4) x 2 = 6 x (4 x 2)