Distributive Property Practice

Practice worksheet for understanding and applying the distributive property in grade 4 math.

Grade 4 Math Arithmetic and Number TheoryDistributive Property

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Includes

Fill in the Blanks2 Short AnswerMultiple ChoiceTrue / FalseMatching

Standards

CCSS.MATH.CONTENT.3.OA.B.5CCSS.MATH.CONTENT.4.NBT.B.5

Topics

mathdistributive propertymultiplicationgrade 4

8 sections · Free to use · Printable

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Distributive Property Practice

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Read each question carefully and use the distributive property to solve the problems.

1. The distributive property says that multiplying a number by a sum is the same as multiplying each addend by the number and then the products.

2. To solve 5 × (3 + 4) using the distributive property, you would first multiply 5 × 3 and 5 × 4, then the results.

3. The expression 6 × (2 + 7) can be rewritten as (6 × 2) + (6 × ).

4. Show how to use the distributive property to solve 7 × 12. Hint: Think of 12 as 10 + 2.

5. Explain in your own words what the distributive property means.

6. Which expression shows the distributive property for 4 × (5 + 3)?

(4 × 5) + 3

4 × 5 + 4 × 3

4 + 5 × 4 + 3

(4 + 5) × (4 + 3)

7. What is the value of 8 × (6 + 2) using the distributive property?

8. The expression (3 × 5) + (3 × 2) is equal to 3 × (5 + 2).

True

False

9. The distributive property only works with addition, not subtraction.

True

False

Match each expression on the left with its equivalent expression on the right.

10. 9 × (7 + 1)

a. (5 × 10) - (5 × 3)

11. 5 × (10 - 3)

b. (9 × 7) + (9 × 1)

12. 2 × (8 + 4)

c. (2 × 8) + (2 × 4)

13. A baker bakes 6 trays of cookies. Each tray has 10 chocolate chip cookies and 5 oatmeal cookies. How many cookies did the baker bake in total? Use the distributive property to solve.