Multiplying by Powers of 10 and Patterns in Place Value

This video tutorial explains how multiplying numbers by powers of 10 affects their value. It covers the relationship between place values, demonstrates multiplying whole numbers and decimals by powers of 10, and addresses common misunderstandings. The lesson concludes with a summary of key points, emphasizing the pattern of zeros and the shift in place value.

What happens to the value of a number when it is multiplied by a power of 10?

Explain how the place value of digits changes when multiplying by 10 to the first power.

Describe the pattern observed when multiplying whole numbers by powers of 10.

Why is it unnecessary to add place value markers when multiplying decimal numbers by powers of 10?

What is the result of multiplying 692 thousandths by 10 to the second power?

How does multiplying a decimal number by a power of 10 differ from multiplying a whole number?

What common misunderstanding might occur when multiplying by powers of 10?