Distributive Property Worksheet for practicing multiplication using the distributive property.

Let's solve each problem step by step using the distributive property of multiplication, which states:

> $ a \times (b + c) = (a \times b) + (a \times c) $

We will rewrite each expression using this property and then simplify.

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1. $ 2 \times (7 + 4) $

Distribute:
$$
2 \times 7 + 2 \times 4 = 14 + 8 = 22
$$

✔ Answer: $ 22 $

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2. $ 6 \times (9 + 2) $

Distribute:
$$
6 \times 9 + 6 \times 2 = 54 + 12 = 66
$$

✔ Answer: $ 66 $

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3. $ 9 \times (9 + 5) $

Distribute:
$$
9 \times 9 + 9 \times 5 = 81 + 45 = 126
$$

✔ Answer: $ 126 $

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4. $ 4 \times (6 + 3) $

Distribute:
$$
4 \times 6 + 4 \times 3 = 24 + 12 = 36
$$

✔ Answer: $ 36 $

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5. $ 2 \times (6 + 2) $

Distribute:
$$
2 \times 6 + 2 \times 2 = 12 + 4 = 16
$$

✔ Answer: $ 16 $

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6. $ 9 \times (9 + 4) $

Distribute:
$$
9 \times 9 + 9 \times 4 = 81 + 36 = 117
$$

✔ Answer: $ 117 $

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7. $ 6 \times (2 + 7) $

Distribute:
$$
6 \times 2 + 6 \times 7 = 12 + 42 = 54
$$

✔ Answer: $ 54 $

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8. $ 4 \times (5 + 5) $

Distribute:
$$
4 \times 5 + 4 \times 5 = 20 + 20 = 40
$$

✔ Answer: $ 40 $

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9. $ 6 \times (4 + 3) $

Distribute:
$$
6 \times 4 + 6 \times 3 = 24 + 18 = 42
$$

✔ Answer: $ 42 $

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10. $ 5 \times (4 + 7) $

Distribute:
$$
5 \times 4 + 5 \times 7 = 20 + 35 = 55
$$

✔ Answer: $ 55 $

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✔ Final Answers:

1. $ 2 \times (7 + 4) = 14 + 8 = 22 $
2. $ 6 \times (9 + 2) = 54 + 12 = 66 $
3. $ 9 \times (9 + 5) = 81 + 45 = 126 $
4. $ 4 \times (6 + 3) = 24 + 12 = 36 $
5. $ 2 \times (6 + 2) = 12 + 4 = 16 $
6. $ 9 \times (9 + 4) = 81 + 36 = 117 $
7. $ 6 \times (2 + 7) = 12 + 42 = 54 $
8. $ 4 \times (5 + 5) = 20 + 20 = 40 $
9. $ 6 \times (4 + 3) = 24 + 18 = 42 $
10. $ 5 \times (4 + 7) = 20 + 35 = 55 $

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