2.8 - Commutative, Associative, and Distributive Laws

5x3=

2×3=3×2

Choose the correct Law that best represents the equation below:

3(7+4) = (3•7) + (3•4)

Choose the correct Law that best represents the equation below:

10 • (9 • 3) = (10 • 9) • 3

Choose the correct Law that best represents the equation below:

(5 + 9) + 6 = 6 + (5 + 9)

Choose the correct Law that best represents the equation below:

(8–3) • 6 = (8•6) – (3•6)

Choose the correct Law that best represents the equation below:

(5 + 9) + 6 = 5 + (9 + 6)

Choose the correct Law that best represents the equation below:

14 • (2 • 7) = (2 • 7) • 14

Choose the correct Law that best represents the equation below:

8 + (2 + 4) = 8 + (4 + 2)

Choose the correct Law that best represents the equation below:

(8•15) + (4•15) = (8+4) • 15

Choose the correct Law that best represents the equation below:

(7 • 12) + (7 • 5) = 7 • (12 + 5)

Choose the correct Law that best represents the equation below:

(4 • 18) • 10 = 4 • (18 • 10)

4 • 6 = 6 • ______

3 × 12 = ______ × 3

-10 _____ 5 = 5 × -10

2 + 8 = ______ + 2

12 + 15 = 12 _____ 15

5 + 13 + 21 = 13 + _______ + 5

(3 • 4) • 12 = 12 ( _______ • 4)

______ + (12 + 9) = (9 + 12) + 16

5 • (10 • 11) = (5 • 10) • _______

(______ + 8) + 3 = 7 + (8 + 3)

12 • (7 • 10) = (12 • 7) • _______

(9 • 3) • 4 = 9( ______ • 4)

(8 _____ 9) + 17 = 8 + (9 + 17)

(_______ • 12) • 7 = 6(12 • 7)

2(3 + 5) = 2 • _____ + 2 • 5

(2 + 10) • 13 = 13 • 2 + 13 • ______

10 • 11 + ______ • 11 = 11(10 + 4)

-8(6 - 7) = -8 • 6 - (-8) • ______

8 • 4 + 8 • 5 = 8(4 ____ 5)

16(204) = 16 • 200 + 16 • ______

13(99) = 13 • _______ - 13 • 1

7( ______ ) = 7•20 + 7 • 3

17( ______ ) = 17 • 50 - 17 • 2