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Distributive Property Practice Worksheet

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Distributive Property Practice Worksheet worksheet preview

Distributive Property Practice Worksheet

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📚 Part 1: Understanding the Distributive Property

Remember: The distributive property says that a(b + c) = ab + ac

1. Which expression shows the distributive property correctly?

3(4 + 5) = 3 × 4 + 5

3(4 + 5) = 3 × 4 + 3 × 5

3(4 + 5) = 3 + 4 × 5

2. What is 4(6 + 2) when expanded using the distributive property?

4 × 6 + 2

4 × 6 + 4 × 2

4 + 6 × 2

3. Which of these are equal to 5(3 + 7)? Check all that apply:

5 × 3 + 5 × 7

5 × 10

15 + 35

50

✏️ Part 2: Expand and Calculate

4. Expand 6(4 + 3) using the distributive property, then solve:

6(4 + 3) = _____ × _____ + _____ × _____ = _____ + _____ = _____

5. Expand 8(5 + 2) using the distributive property, then solve:

8(5 + 2) = _____ × _____ + _____ × _____ = _____ + _____ = _____

6. Expand 7(9 + 4) using the distributive property, then solve:

7(9 + 4) = _____ × _____ + _____ × _____ = _____ + _____ = _____

7. Verify that 3(6 + 8) gives the same answer both ways:

Method 1: Add first, then multiply: 3(6 + 8) = 3 × _____ = _____

Method 2: Use distributive property: 3(6 + 8) = _____ + _____ = _____

🎯 Part 3: Word Problems

8. Sarah buys 4 packs of stickers. Each pack has 6 regular stickers and 3 sparkly stickers. Write an expression using the distributive property to find the total number of stickers:

Expression: _________________________

Total stickers: _____

9. A store sells gift bags with 5 pencils and 8 erasers in each bag. If someone buys 6 bags, use the distributive property to find the total number of items:

Expression: _________________________

Total items: _____

10. Explain in your own words what the distributive property means and why it works:

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