Multiplying Decimals by Powers of 10

This video tutorial explains how to multiply a decimal by a power of 10 using a simple trick. It begins with an introduction to powers of 10, providing examples like 10, 100, and 1000. The tutorial then demonstrates a quick method for multiplying decimals by powers of 10, emphasizing the movement of the decimal point based on the number of zeros in the power of 10. Several examples are provided to illustrate the concept, including multiplying 1.37 by 10, 100, 1000, and a million. The video concludes by inviting viewers to ask questions and explore additional resources.

What is a power of 10?

• Any number that is multiplied by 10.

• Any large number.

• A number that starts with one and has zeros following it.

• A number that can be divided by 10 without a remainder.

Is 10,000 considered a power of 10?

• Yes

• No

• Only in certain cases

• Only if it is multiplied by another number

How do you multiply 1.37 by 10 using the quick method?

• Add a zero to the end of 1.37.

• Move the decimal point one place to the right.

• Multiply 1.37 by 10 normally.

• Divide 1.37 by 10.

What happens to the decimal point when multiplying by powers of 10?

• It moves to the left

• It disappears

• It moves to the right

• It stays in place

What is the result of multiplying 1.37 by 100?

• 137

• 13.7

• 1.37

• 13700

When multiplying by 1000, how many places do you move the decimal in 1.37?

• Two places

• Three places

• Four places

• One place

What additional step must be taken when the decimal is moved beyond the existing digits?

• Round the number

• No additional steps needed

• Multiply by 10 again

• Add zeros to fill in the gaps

What is the result of 1.37 multiplied by a million?

• 1.37

• 13700

• 137

• 1370000

How many zeros are added when multiplying 1.37 by a million?

• Four zeros

• Five zeros

• Three zeros

• Six zeros

What is the purpose of adding zeros when the decimal moves beyond existing digits?

• To confuse the calculation

• To fill in the places until the decimal point

• To make the number look bigger

• To increase the number's value