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2.8 - Commutative, Associative, and Distributive Laws

Last updated about 5 years ago
35 questions
1

5x3=

1

2×3=3×2

1

Choose the correct Law that best represents the equation below:
3(7+4) = (3•7) + (3•4)

1

Choose the correct Law that best represents the equation below:
10 • (9 • 3) = (10 • 9) • 3

1

Choose the correct Law that best represents the equation below:
(5 + 9) + 6 = 6 + (5 + 9)

1

Choose the correct Law that best represents the equation below:
(8–3) • 6 = (8•6) – (3•6)

1

Choose the correct Law that best represents the equation below:
(5 + 9) + 6 = 5 + (9 + 6)

1

Choose the correct Law that best represents the equation below:
14 • (2 • 7) = (2 • 7) • 14

1

Choose the correct Law that best represents the equation below:
8 + (2 + 4) = 8 + (4 + 2)

1

Choose the correct Law that best represents the equation below:
(8•15) + (4•15) = (8+4) • 15

1

Choose the correct Law that best represents the equation below:
(7 • 12) + (7 • 5) = 7 • (12 + 5)

1

Choose the correct Law that best represents the equation below:
(4 • 18) • 10 = 4 • (18 • 10)

The following questions deal with the Commutative Law. Fill in the missing blank space to make the equation true. The blank space may be a number or a symbol
1

4 • 6 = 6 • ______

1

3 × 12 = ______ × 3

1

-10 _____ 5 = 5 × -10

1

2 + 8 = ______ + 2

1

12 + 15 = 12 _____ 15

1

5 + 13 + 21 = 13 + _______ + 5

1

(3 • 4) • 12 = 12 ( _______ • 4)

1

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

The following questions deal with the Commutative Law. Fill in the missing blank space to make the equation true.
1

5 • (10 • 11) = (5 • 10) • _______

1

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

1

12 • (7 • 10) = (12 • 7) • _______

1

(9 • 3) • 4 = 9( ______ • 4)

1

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

1

(_______ • 12) • 7 = 6(12 • 7)

The following questions deal with the Distributive Law. Fill in the missing blank space to make the equation true.
1

2(3 + 5) = 2 • _____ + 2 • 5

1

(2 + 10) • 13 = 13 • 2 + 13 • ______

1

10 • 11 + ______ • 11 = 11(10 + 4)

1

-8(6 - 7) = -8 • 6 - (-8) • ______

1

8 • 4 + 8 • 5 = 8(4 ____ 5)

For the following questions, use the Distribution Law and fill in the blank to make the problem easier to solve.

Example

13(102) = 13 • 100 + 13 • 2
or
5(48) = 5 • 50 - 5 • 2
1

16(204) = 16 • 200 + 16 • ______

1

13(99) = 13 • _______ - 13 • 1

1

7( ______ ) = 7•20 + 7 • 3

1

17( ______ ) = 17 • 50 - 17 • 2