The Distributive Property and Products of Decimals

Videos and solutions to help Grade 6 students learn how to apply the distributive property to find the product of decimals.

New York State Common Core Math Grade 6, Module 2, Lesson 10

Lesson 10 Student Outcomes

• Through the use of arrays and partial products, students strategize and apply the distributive property to find the product of decimals.

Lesson 10 Classwork

Lesson 10 Opening Exercise

Calculate the product.

1. 200 x 32.6
2. 500 x 22.12

Example 1: Introduction to Partial Products
Use partial products and the distributive property to calculate the product.
200 x 32.6

Example 2: Introduction to Partial Products
Use partial products and the distributive property to calculate the area of the rectangular patio with dimensions 22.12 ft and 500 ft.
Calculate the following
300 x 25.4
45.9 x 100
800 x 12.3
400 x 21.8
32.6 x 200

Lesson 10 Exit Ticket
Complete the problem using partial products.
500 x 12.7

Problem Set
Calculate the product using partial products.

1. 400 × 45.2
2. 14.9 × 100
3. 200 × 38.4
4. 900 × 20.7
5. 76.2 × 200

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