Writing Equivalent Expressions Using the Distributive Property

The video tutorial explains how to use the distributive property of multiplication over addition to write equivalent expressions. It covers common mistakes, such as failing to distribute to all terms, and demonstrates how to decompose numbers into sums of addends. The tutorial uses area models to visually explain the concept and concludes with a recap of the lesson.

What is a common mistake when using the distributive property?

• Forgetting to multiply the first term

• Forgetting to distribute to the second term

• Using parentheses incorrectly

• Adding instead of multiplying

Which of the following is a correct decomposition of the number 6?

• 6 = 3 + 2

• 6 = 2 + 4

• 6 = 2 + 3

• 6 = 1 + 5

How do you apply the distributive property to the expression 3 times (2 + 4)?

• Multiply 3 by 4 only

• Add 2 and 4, then multiply by 3

• Multiply 3 by 2 only

• Multiply 3 by 2 and 3 by 4, then add the results

What does the area model help illustrate about the distributive property?

• It helps in understanding subtraction

• It visually explains why distributing works

• It demonstrates the concept of multiplication

• It shows how to add numbers

In the area model, what do the dimensions of the rectangles represent?

• The difference between numbers

• The sum of the numbers

• The individual terms in the expression

• The total area