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Distributive Property Practice
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Distributive Property Practice
Use the distributive property to rewrite and evaluate each expression. Show your thinking where space is provided.
Distribute and Evaluate
1.Rewrite 8 × (2 + 5) by distributing 8, then find the product.
2.Rewrite 6 × (9 − 4) using the distributive property, then evaluate.
3.Rewrite 9 × (3 + 6) as a sum of products and calculate the result.
4.Which expression correctly shows 5 × (7 + 4) using the distributive property?
- 5 × 7 + 4
- 5 × 7 + 5 × 4
- 5 + 7 × 4
5.A rectangle is 4 units tall and has a width made of two adjoining parts, 3 units and 5 units. Use an area model to show 4 × (3 + 5), then write the matching sum of products and find the total area.
Check and Apply
6.Riley writes 7 × (6 + 2) = (7 × 6) + 2 = 44. Identify the error and show the correct distributive calculation.
7.A craft kit has 5 sheets of blue paper and 4 sheets of gold paper. If Mateo buys 7 kits, use the distributive property to find the total number of sheets.
8.Select every expression equivalent to 8 × (10 − 3).
- 8 × 10 − 8 × 3
- 8 × 7
- 80 − 3
- 80 − 24
9.Write your own multiplication expression in the form a × (b − c), with b greater than c. Use the distributive property and solve it.
10.A community theater has 9 rows. Each row contains 6 balcony seats and 5 floor seats. Use the distributive property to calculate the total number of seats.
11.In your own words, explain how the distributive property can make multiplication easier. Include one numerical example and show the calculation.
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