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Printable math worksheet from Math Monks focusing on the distributive property of multiplication, featuring ten expressions to solve.

Distributive Property Worksheet with math problems for students to rewrite and solve using the distributive property of multiplication.

Distributive Property Worksheet with math problems for students to rewrite and solve using the distributive property of multiplication.

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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:



| 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.
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