Multiplying Whole Numbers and Decimals by Powers of 10

This lesson teaches how to multiply whole numbers and decimals by powers of 10 using place value understanding. It explains the concept of exponents, focusing on powers of 10, and demonstrates how to shift digits to the left when multiplying by powers of 10. The lesson includes examples and solutions to reinforce the concepts.

What is the result of 10 to the 3rd power?

• 1,000

• 100

• 10

• 10,000

When you multiply a number by 10, what happens to its digits?

• They disappear

• They move to the left

• They stay the same

• They move to the right

How many zeros are added when multiplying 5.4 by 10 to the 3rd power?

• 1

• 2

• 4

• 3

What is the product of 2.5 times 10 to the 5th power?

• 250,000

• 25,000

• 25,000,000

• 2,500,000

When multiplying a decimal by a power of 10, what should you do with empty spaces?

• Ignore them

• Fill them with zeros

• Fill them with ones

• Leave them blank