Mastering Decimal and Whole Number Multiplication

This video tutorial explains how to multiply decimals and whole numbers using the expanded form and area model. It begins with a refresher on multiplying whole numbers, using examples like 4 x 28, and then transitions to decimals, such as 4 x 2.8. The tutorial progresses to more complex examples, including 16 x 24 and 16 x 2.4, demonstrating the use of the distributive property. The video concludes with an example of multiplying 18 x 0.56, emphasizing the separation of whole and decimal parts for easier calculation.

What is the first step in multiplying 4 and 28 using expanded form?

• Draw a circle

• Subtract the numbers

• Draw an area model

• Add the numbers

How do you break up the number 28 in expanded form?

• 30 + 8

• 10 + 18

• 20 + 10

• 20 + 8

When multiplying 4 and 2.8, what is the expanded form of 2.8?

• 2 + 8

• 20 + 0.8

• 2 + 0.08

• 2 + 0.8

What is the product of 4 and 2.8?

• 11.2

• 12.8

• 10.2

• 14.2

In the example of multiplying 16 and 24, how is 16 broken down in expanded form?

• 10 + 4

• 10 + 6

• 8 + 8

• 12 + 4

What is the total product of 16 and 24?

• 384

• 404

• 364

• 324

When multiplying 16 and 2.4, what is the expanded form of 2.4?

• 20 + 0.4

• 2 + 0.4

• 2 + 4

• 2 + 0.04

What is the product of 16 and 2.4?

• 34.4

• 40.4

• 36.4

• 38.4

In the example of multiplying 18 and 0.56, how is 0.56 broken down in expanded form?

• 0.5 + 0.06

• 0.5 + 0.6

• 0.05 + 0.6

• 0.5 + 0.06

What is the total product of 18 and 0.56?

• 11.08

• 10.80

• 9.08

• 10.08