Understanding the Distributive Property

This video tutorial explores the distributive property of multiplication by decomposing the area of a rectangle. It demonstrates how the area of a large rectangle can be calculated as the sum of the areas of two smaller rectangles. The tutorial provides examples to verify the distributive property and compares it with the order of operations. Through practical examples, viewers learn to apply the distributive property to simplify expressions.

What is the area of the large rectangle in the example?

• 18 square meters

• 45 square meters

• 50 square meters

• 27 square meters

How is the area of the large rectangle related to the areas of the smaller rectangles?

• It is the difference of the two smaller areas

• It is the sum of the two smaller areas

• It is unrelated to the smaller areas

• It is the product of the two smaller areas

Which equation demonstrates the distributive property in the rectangle example?

• 9 * 5 = 9 * 3 + 2

• 9 * 5 = 5 * 9

• 9 * 5 = 9 * 2 + 9 * 3

• 9 * 5 = 9 + 5

What is the distributive property often referred to as?

• Multiplication over addition or subtraction

• Division over addition

• Addition over multiplication

• Subtraction over multiplication

In the expression 4 * (3 + 7), what is the result after applying the distributive property?

• 3 * 4 + 7

• 4 + 3 + 7

• 4 * 3 + 4 * 7

• 4 * 10

What is the purpose of using arrows in the distributive property examples?

• To show subtraction

• To model distribution

• To indicate division

• To highlight addition

How do you simplify 7 * (3 + 5) using the order of operations?

• 3 + 5 * 7

• 7 * 8

• 7 * 3 + 5

• 7 + 3 + 5

What is the result of 4 * (8 - 1) using the distributive property?

• 8 - 1 * 4

• 4 + 8 - 1

• 4 * 7

• 4 * 8 - 4 * 1

What is the final result of evaluating 4 * (8 - 1) using either method?

• 28

• 32

• 4

• 7

Which method can be used to evaluate expressions like 7 * (3 + 5)?

• Both the order of operations and the distributive property

• Neither method

• Only the distributive property

• Only the order of operations