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2.8 - Commutative, Associative, and Distributive Laws

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Last updated over 5 years ago
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Question 1
1.

Question 2
2.

Question 3
3.

Question 4
4.

Question 5
5.

Question 6
6.

Question 7
7.

Question 8
8.

Question 9
9.

Question 10
10.

Question 11
11.

Question 12
12.

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
Question 13
13.

4 • 6 = 6 • ______

Question 14
14.

3 × 12 = ______ × 3

Question 15
15.

-10 _____ 5 = 5 × -10

Question 16
16.

2 + 8 = ______ + 2

Question 17
17.

12 + 15 = 12 _____ 15

Question 18
18.

5 + 13 + 21 = 13 + _______ + 5

Question 19
19.

(3 • 4) • 12 = 12 ( _______ • 4)

Question 20
20.

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

The following questions deal with the Commutative Law. Fill in the missing blank space to make the equation true.
Question 21
21.

5 • (10 • 11) = (5 • 10) • _______

Question 22
22.

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

Question 23
23.

12 • (7 • 10) = (12 • 7) • _______

Question 24
24.

(9 • 3) • 4 = 9( ______ • 4)

Question 25
25.

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

Question 26
26.

(_______ • 12) • 7 = 6(12 • 7)

The following questions deal with the Distributive Law. Fill in the missing blank space to make the equation true.
Question 27
27.

2(3 + 5) = 2 • _____ + 2 • 5

Question 28
28.

(2 + 10) • 13 = 13 • 2 + 13 • ______

Question 29
29.

10 • 11 + ______ • 11 = 11(10 + 4)

Question 30
30.

-8(6 - 7) = -8 • 6 - (-8) • ______

Question 31
31.

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
Question 32
32.

16(204) = 16 • 200 + 16 • ______

Question 33
33.

13(99) = 13 • _______ - 13 • 1

Question 34
34.

7( ______ ) = 7•20 + 7 • 3

Question 35
35.

17( ______ ) = 17 • 50 - 17 • 2

5x3=
8
0
15x2
3x5
2×3=3×2
True
False
Choose the correct Law that best represents the equation below:
3(7+4) = (3•7) + (3•4)
Commutative Law
Associative Law
Distributive Law
Choose the correct Law that best represents the equation below:
10 • (9 • 3) = (10 • 9) • 3
Commutative Law
Associative Law
Distributive Law
Choose the correct Law that best represents the equation below:
(5 + 9) + 6 = 6 + (5 + 9)
Commutative Law
Associative Law
Distributive Law
Choose the correct Law that best represents the equation below:
(8–3) • 6 = (8•6) – (3•6)
Commutative Law
Associative Law
Distributive Law
Choose the correct Law that best represents the equation below:
(5 + 9) + 6 = 5 + (9 + 6)
Commutative Law
Associative Law
Distributive Law
Choose the correct Law that best represents the equation below:
14 • (2 • 7) = (2 • 7) • 14
Commutative Law
Associative Law
Distributive Law
Choose the correct Law that best represents the equation below:
8 + (2 + 4) = 8 + (4 + 2)
Commutative Law
Associative Law
Distributive Law
Choose the correct Law that best represents the equation below:
(8•15) + (4•15) = (8+4) • 15
Commutative Law
Associative Law
Distributive Law
Choose the correct Law that best represents the equation below:
(7 • 12) + (7 • 5) = 7 • (12 + 5)
Commutative Law
Associative Law
Distributive Law
Choose the correct Law that best represents the equation below:
(4 • 18) • 10 = 4 • (18 • 10)
Commutative Law
Associative Law
Distributive Law