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 $
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✔ 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 $
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✔ 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 $
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✔ 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 $
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✔ 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 $
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✔ 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 $
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✔ 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 $
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✔ 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 $
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✔ 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 $
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✔ 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 $
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✔ Answer: $ 5 \times 4 + 5 \times 7 = 55 $
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📝 Final Answers:
| Problem | Rewritten Expression | Answer |
|--------|-----------------------|--------|
| 1 | $ 2 \times 7 + 2 \times 4 $ | 22 |
| 2 | $ 6 \times 9 + 6 \times 2 $ | 66 |
| 3 | $ 9 \times 9 + 9 \times 5 $ | 126 |
| 4 | $ 4 \times 6 + 4 \times 3 $ | 36 |
| 5 | $ 2 \times 6 + 2 \times 2 $ | 16 |
| 6 | $ 9 \times 9 + 9 \times 4 $ | 117 |
| 7 | $ 6 \times 2 + 6 \times 7 $ | 54 |
| 8 | $ 4 \times 5 + 4 \times 5 $ | 40 |
| 9 | $ 6 \times 4 + 6 \times 3 $ | 42 |
| 10 | $ 5 \times 4 + 5 \times 7 $ | 55 |
✔ All problems solved using the
distributive property and simplified correctly.
Let me know if you'd like this in printable format or with extra explanation!
Parent Tip: Review the logic above to help your child master the concept of properties worksheet.