Distributive Property Worksheet for practicing multiplication using the distributive property.

Let's solve each problem on the Distributive Property Worksheet step by step.

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🔷 Distributive Property of Multiplication:

The distributive property states:
> $ a \times (b + c) = (a \times b) + (a \times c) $

We'll apply this rule to each expression, rewrite it using the distributive property, and then simplify.

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✔ Problem 1: $ 2 \times (7 + 4) $

- Distribute: $ 2 \times 7 + 2 \times 4 $
- Calculate: $ 14 + 8 = 22 $
- ✔ Answer: $ 2 \times 7 + 2 \times 4 = 22 $

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✔ Problem 2: $ 6 \times (9 + 2) $

- Distribute: $ 6 \times 9 + 6 \times 2 $
- Calculate: $ 54 + 12 = 66 $
- ✔ Answer: $ 6 \times 9 + 6 \times 2 = 66 $

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✔ Problem 3: $ 9 \times (9 + 5) $

- Distribute: $ 9 \times 9 + 9 \times 5 $
- Calculate: $ 81 + 45 = 126 $
- ✔ Answer: $ 9 \times 9 + 9 \times 5 = 126 $

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✔ Problem 4: $ 4 \times (6 + 3) $

- Distribute: $ 4 \times 6 + 4 \times 3 $
- Calculate: $ 24 + 12 = 36 $
- ✔ Answer: $ 4 \times 6 + 4 \times 3 = 36 $

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✔ Problem 5: $ 2 \times (6 + 2) $

- Distribute: $ 2 \times 6 + 2 \times 2 $
- Calculate: $ 12 + 4 = 16 $
- ✔ Answer: $ 2 \times 6 + 2 \times 2 = 16 $

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✔ Problem 6: $ 9 \times (9 + 4) $

- Distribute: $ 9 \times 9 + 9 \times 4 $
- Calculate: $ 81 + 36 = 117 $
- ✔ Answer: $ 9 \times 9 + 9 \times 4 = 117 $

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✔ Problem 7: $ 6 \times (2 + 7) $

- Distribute: $ 6 \times 2 + 6 \times 7 $
- Calculate: $ 12 + 42 = 54 $
- ✔ Answer: $ 6 \times 2 + 6 \times 7 = 54 $

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✔ Problem 8: $ 4 \times (5 + 5) $

- Distribute: $ 4 \times 5 + 4 \times 5 $
- Calculate: $ 20 + 20 = 40 $
- ✔ Answer: $ 4 \times 5 + 4 \times 5 = 40 $

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✔ Problem 9: $ 6 \times (4 + 3) $

- Distribute: $ 6 \times 4 + 6 \times 3 $
- Calculate: $ 24 + 18 = 42 $
- ✔ Answer: $ 6 \times 4 + 6 \times 3 = 42 $

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✔ Problem 10: $ 5 \times (4 + 7) $

- Distribute: $ 5 \times 4 + 5 \times 7 $
- Calculate: $ 20 + 35 = 55 $
- ✔ Answer: $ 5 \times 4 + 5 \times 7 = 55 $

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📝 Final Answers (Rewritten & Solved):

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

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✔ All problems solved using the distributive property and simplified correctly! Let me know if you'd like this in printable format or with visual models.