Multiplying and Dividing Powers of 10 Concepts

The video tutorial explains how to multiply and divide decimals by powers of 10 using a place value chart. It demonstrates examples with numbers like 327.9 and 56.4, showing how digits shift left or right depending on whether the operation is multiplication or division. The tutorial emphasizes understanding the concept of digit shifts rather than just moving the decimal point, highlighting the importance of recognizing patterns in powers of 10.

What tool is used to understand the multiplication and division of decimals by powers of 10?

• Number line

• Place value chart

• Graph paper

• Calculator

When multiplying by 10, how many places do the digits move on the place value chart?

• Two places to the left

• One place to the right

• One place to the left

• Two places to the right

What is the result of multiplying 327.9 by 10?

• 32790

• 327.9

• 3279

• 32.79

When multiplying by 100, how many places do the digits move on the place value chart?

• Two places to the left

• One place to the right

• Two places to the right

• One place to the left

What is the result of multiplying 56.4 by 100?

• 564

• 5604

• 5640

• 56.4

When dividing by 10, how many places do the digits move on the place value chart?

• Two places to the left

• Two places to the right

• One place to the right

• One place to the left

What is the result of dividing 327.9 by 10?

• 3.279

• 3279

• 327.9

• 32.79

When dividing by 100, how many places do the digits move on the place value chart?

• Two places to the left

• One place to the left

• Two places to the right

• One place to the right

What is the result of dividing 56.4 by 100?

• 0.0564

• 0.564

• 5.64

• 56.4

What happens to the value of digits when they move to the left on the place value chart?

• They become ten times smaller

• They become one hundred times smaller

• They become ten times larger

• They stay the same