Distributive Property of Multiplication Worksheet
Explore the distributive property of multiplication with this Grade 5 worksheet, featuring various question types to reinforce understanding.
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Distributive Property of Multiplication
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Read each question carefully and answer to the best of your ability. Show your work where necessary.
1. The distributive property allows you to multiply a sum by multiplying each separately and then adding the products.
2. The expression 5 × (3 + 4) can be rewritten using the distributive property as (5 × 3) + (5 × ).
3. To solve 7 × 12 using the distributive property, you can break 12 into 10 + 2, then multiply 7 × 10 and 7 × .
4. Which expression correctly uses the distributive property for 6 × (8 + 2)?
(6 + 8) × (6 + 2)
(6 × 8) + 2
(6 × 8) + (6 × 2)
6 × 8 + 2
5. What is the value of 4 × (10 + 5) using the distributive property?
40
50
60
70
6. Use the distributive property to solve 8 × 15. Show your steps.
7. A classroom has 4 rows of desks. Each row has 6 blue desks and 3 red desks. Write an expression using the distributive property to find the total number of desks.
8. The expression (2 × 7) + (2 × 3) is equivalent to 2 × (7 + 3).
True
False
9. The distributive property only works with addition, not subtraction.
True
False
10. Draw a number line to represent 3 × (2 + 1).