2.8 - Commutative, Associative, and Distributive Laws
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Question 1
1.
5x3=
Question 2
2.
2×3=3×2
Question 3
3.
Choose the correct Law that best represents the equation below:
3(7+4) = (3•7) + (3•4)
Question 4
4.
Choose the correct Law that best represents the equation below:
10 • (9 • 3) = (10 • 9) • 3
Question 5
5.
Choose the correct Law that best represents the equation below:
(5 + 9) + 6 = 6 + (5 + 9)
Question 6
6.
Choose the correct Law that best represents the equation below:
(8–3) • 6 = (8•6) – (3•6)
Question 7
7.
Choose the correct Law that best represents the equation below:
(5 + 9) + 6 = 5 + (9 + 6)
Question 8
8.
Choose the correct Law that best represents the equation below:
14 • (2 • 7) = (2 • 7) • 14
Question 9
9.
Choose the correct Law that best represents the equation below:
8 + (2 + 4) = 8 + (4 + 2)
Question 10
10.
Choose the correct Law that best represents the equation below:
(8•15) + (4•15) = (8+4) • 15
Question 11
11.
Choose the correct Law that best represents the equation below:
(7 • 12) + (7 • 5) = 7 • (12 + 5)
Question 12
12.
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
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.