Mastering Decimal Operations with Powers of Ten

This video tutorial provides practice in multiplying and dividing decimals by 10, 100, and 1000. It begins with a warm-up exercise on multiplying by 10, explaining how digits shift left. The video then covers dividing by 10, where digits shift right, and extends the concept to dividing by 1000. It also explores multiplying by 100, demonstrating how digits shift left by two places. The tutorial concludes with a final example to reinforce the concepts.

What happens to the digits of a decimal when it is multiplied by 10?

• The decimal point moves to the end.

• The digits move one place to the right.

• The digits move one place to the left.

• The digits remain in the same place.

If you divide 2.05 by 10, what is the result?

• 20.5

• 0.205

• 2.5

• 205

What does dividing a number by 10 do to its digits?

• Shifts them two places to the left.

• Shifts them one place to the left.

• No change.

• Shifts them one place to the right.

How many places do the digits shift when dividing by 1000?

• One place

• Two places

• Three places

• Four places

What is the result of dividing 57 by 1000?

• 0.57

• 5.7

• 0.0057

• 0.057

When a number is divided by 1000, its digits move how many places?

• Three

• Two

• One

• Four

To get a result of 103.2 from 1.032, by what number should you multiply?

• 100

• 1000

• 0.1

• 10

What is the effect of multiplying a decimal by 100?

• Decimal point is removed.

• No change in the decimal.

• Digits move two places to the right.

• Digits move two places to the left.

If 0.015 is multiplied by 100, what is the outcome?

• 150

• 0.15

• 15

• 1.5

After multiplying 1.032 by a certain number, the result is 103.2. What was the multiplier?

• 0.1

• 10

• 100

• 1000