Distributive Property

Videos, examples, solutions, and lessons to help Grade 3 students learn how to use the distributive property as a strategy to multiply and divide.

Common Core Standards: 3.OA.3, 3.OA.4, 3.OA.5, 3.OA.7, 3.OA.1, 3.OA.2, 3.OA.6, 3.OA.8

New York State Common Core Math Grade 3, Module 3, Lesson 10
Worksheets for Grade 3

Application Problem

The following diagram shows how to use the distributive property to multiply and divide. Scroll down the page for more examples.


 

Use the 5 plus something break apart and distribute strategy to solve 6 × 8. Model with a tape diagram.

Note: This problem reviews modeling the break apart and distribute strategy using a tape diagram from Lesson 6. Until today’s lesson students have learned to break apart the first factor and distribute the second factor. Today’s Concept Development reverses the order using the fact in this Application Problem.

Concept Development

Problem 1: Multiply.
Problem 2: Divide.

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Use the break apart and distribute strategy to solve 6 × 8.
6 × 8 = 6 × (5 + 3)

Use the break apart and distribute strategy to solve 64 ÷ 8.
64 ÷ 8 = (40 ÷ 8) + 24 ÷ 8

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Lesson 10 Homework

1. Label the array. Then fill in the blanks to make the statements true.
   a) 8 × 7 = 7 × 8 =_____
   8 × 7 = 7 × (5 + _____)
   = (7 × 5) + (7 × ___)
   = __ 35 + ______
   = ______
2. Break apart and distribute to solve
   72 ÷ 8.
   72 ÷ 8 = (40 ÷ 8) + (_____÷ 8)
   = 5 + ________
   = ________
3. Count by 8. Then match each multiplication problem with its value.

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