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.

• Show Video

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

• Show Step-by-step Solutions

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.

• Show Step-by-step Solutions

Try out our new and fun Fraction Concoction Game.

Add and subtract fractions to make exciting fraction concoctions following a recipe. There are four levels of difficulty: Easy, medium, hard and insane. Practice the basics of fraction addition and subtraction or challenge yourself with the insane level.

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.