Distributive Property of Multiplication Worksheet
Explore and practice the distributive property of multiplication with this engaging worksheet for 6th graders.
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Distributive Property of Multiplication
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Read each question carefully and follow the instructions. Show your work for all problems.
Understanding the Distributive Property
The distributive property states that multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products. For example: a × (b + c) = (a × b) + (a × c).
1. The distributive property allows you to multiply a sum by a number, or each by the number and then add the products.
2. According to the distributive property, 5 × (3 + 4) is equal to (5 × 3) + (5 × ).
3. The distributive property helps to simplify expressions by breaking down problems into smaller parts.
4. Which expression correctly applies the distributive property to 7 × (2 + 6)?
(7 + 2) × (7 + 6)
(7 × 2) + (7 × 6)
7 + (2 × 6)
7 × 2 + 6
5. Which pair of expressions are equivalent due to the distributive property?
4 × (5 + 1) and (4 × 5) + 1
8 × (3 - 2) and (8 × 3) - (8 × 2)
2 + (9 × 3) and (2 + 9) × (2 + 3)
10 × (1 + 4) and 10 × 1 + 4
6. Use the distributive property to rewrite the expression: 4 × (10 + 5). Then, solve it.
7. Rewrite the expression 6 × 14 using the distributive property. (Hint: Think of 14 as 10 + 4). Then, solve it.
8. Simplify the expression (9 × 7) + (9 × 3) using the distributive property.
9. The expression 2 × (8 - 3) can be rewritten as (2 × 8) - (2 × 3).
True
False
10. The distributive property only applies to addition, not subtraction.
True
False
11. Sarah is buying 3 packs of pens. Each pack contains 5 blue pens and 7 black pens. Write an expression using the distributive property to find the total number of pens Sarah is buying. Then, solve the expression.