Exploring the Distributive Property of Multiplication

The video tutorial explains the distributive property of multiplication, also known as the break apart strategy. It uses arrays to demonstrate how large numbers can be broken into smaller, more manageable parts for easier multiplication. Several examples are provided, including arrays of 5x7, 3x9, 6x8, and 4x7, to illustrate the concept. The tutorial emphasizes that the method of breaking apart numbers can vary, but the final result remains consistent. The video concludes with a reminder to practice using the attached worksheet.

What does the word 'distribute' mean in the context of the distributive property?

• To subtract from a total

• To divide into shares

• To combine into one

• To multiply by itself

In the example with the array of 4 rows and 5 columns, what is the result of 4 times 5?

• 15

• 20

• 25

• 30

When breaking apart an array of 5 rows and 7 columns, what is the sum of 5 times 3 and 5 times 4?

• 35

• 32

• 40

• 28

How can you break apart the number 7 using the distributive property?

• 5 + 6

• 4 + 5

• 3 + 4

• 2 + 3

What is the result of 5 times 7 using the break apart strategy with 5 times 3 and 5 times 4?

• 30

• 40

• 35

• 32

In the Thanksgiving-themed example, what is the result of 3 times 9?

• 24

• 18

• 30

• 27

How can you break apart the number 9 using the distributive property?

• 4 + 5

• 3 + 6

• 5 + 4

• 2 + 7

What is the result of breaking apart 6 times 8 into two parts of 6 times 4?

• 32

• 48

• 24

• 40

If you split an array of 4 rows and 7 columns into two parts of 2 times 7, what is the total sum?

• 28

• 35

• 21

• 14

In the final example, what is the result of 4 times 7?

• 21

• 28

• 32

• 24