Questions

zMath 130 - Unit 7: Number Properties

Properties of Multiplication

For questions 1 – 10, choose the property for each of the multiplication sentences. Select A for commutative, B for associative, or C for identity.

1) 4 × 6 = 6 × 4

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A) commutative

B) associative

C) identity

2) 1 × 9 = 9

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A) commutative

B) associative

C) identity

3) (3 × 4) × 2 = 3 × (4 × 2)

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A) commutative

B) associative

C) identity

4) 6 × (1 × 4) = (6 × 1) × 4

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A) commutative

B) associative

C) identity

5) 16 × 1 = 16

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A) commutative

B) associative

C) identity

6) 10 × 4 = 4 × 10

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A) commutative

B) associative

C) identity

7) 23 × 2 = 2 × 23

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A) commutative

B) associative

C) identity

8) 100 × 1 = 100

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A) commutative

B) associative

C) identity

9) 5 × (3 × 6) = (5 × 3) × 6

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A) commutative

B) associative

C) identity

10) 6 × 8 = 8 × 6

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A) commutative

B) associative

C) identity

For questions 11 – 20, complete the multiplication sentence so that it describes the array.

11)

× 3 = 6

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12)

4 × = 16

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13)

5 × = 15

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14)

× 2 = 10

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15)

× 1 = 4

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16)

× 5 = 10

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17)

× 2 = 4

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18)

× 4 = 20

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19)

× 1 = 2

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20)

1 × = 4

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For questions 21 – 30, use the distributive property to find the missing number.

21)

5 × 2 + 5 × 3 = 5 × ( + 3 )

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22)

5 × 5 + 5 × 1 = 5 × ( + 1)

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23)

10 × 5 + 10 × 1 = 10 × ( + 1)

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24)

4 × 5 + 4 × 1 = 4 × ( + 1)

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25)

7 × 5 – 7 × 1 = 7 × ( – 1)

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26)

9 × 1 + 9 × 5 = 9 × ( + 5)

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27)

8 × 3 – 8 × 2 = 8 × (3 – )

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28)

7 × 3 – 7 × 2 = 7 × (3 – )

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29)

5 × 3 – 5 × 2 = 5 × (3 – )

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30)

3 × 6 – 3 × 4 = 3 × (6 – )

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For questions 31 – 40, write the missing number for the division or multiplication sentence that relates the problem.

31)

If 10 × 40 = 40, then ___ ÷ 4 = 10.

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32)

If 50 ÷ 5 = 10, then ___ × 5 = 50.

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33)

If 30 ÷ 3 = 10, then 3 × 10 = ___.

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34)

If 10 × 1 = 10, then ___ ÷ 1 = 10.

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35)

If 90 ÷ 9 = 10, then ___ × 10 = 90.

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36)

If 10 × 8 = 80, then 80 ÷ 10 = ___.

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37)

If 10 × 2 = 20, then ___ ÷ 2 = 10.

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38)

If 585 ÷ 9 = 65, then 65 × 9 = ___.

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39)

If 57 × 6 = 342, then 342 ÷ ____ = 57.

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40)

If 100 × 9 = 900, then 900 ÷ 100 = ___.

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