Understanding the Distributive Property

This video tutorial introduces the distributive property, explaining how multiplication can be represented in different ways. It provides examples using area models and step-by-step applications of the distributive property. The tutorial includes practice problems to reinforce understanding, preparing students for algebraic concepts.

Which of the following is NOT a way to represent multiplication?

• Using a dot in the middle

• Using a number next to a parenthesis

• Using a plus sign

• Using a letter next to a number

What does the distributive property allow you to do?

• Multiply a sum by a number

• Divide a sum by a number

• Subtract a number from a sum

• Add a number to a sum

In the example with 42 students, what is the first step using the distributive property?

• Multiply 2 by 3

• Add 40 and 2

• Multiply 40 by 3

• Subtract 2 from 40

What is the result of distributing 3 to both 40 and 2 in the example?

• 42 and 3

• 126 and 3

• 120 and 6

• 40 and 2

Why is it important to practice the distributive property?

• To learn subtraction

• To prepare for algebra with variables

• To improve addition skills

• To memorize multiplication tables

What is the result of distributing 8 to both 5 and 3?

• 40 and 24

• 64 and 8

• 8 and 8

• 5 and 3

In the example 2 times (6 + 4), what is the result after applying the distributive property?

• 20

• 18

• 24

• 22

How can you rewrite 4 times (7 + 3) using the distributive property?

• 4 times 3 plus 7

• 4 plus 7 times 3

• 4 times 7 plus 4 times 3

• 4 times 7 minus 3

What is the expanded form of 17 times 6 using the distributive property?

• 17 plus 6 times 10

• 10 times 6 plus 7 times 6

• 17 times 6 plus 10

• 10 plus 7 times 6

What hint is given for breaking down the number 105 in the practice problems?

• 100 plus 5

• 105 as a whole

• 50 plus 5

• 10 plus 5