Multiplying and Dividing by Powers of Ten

This video tutorial for grade 5 students covers multiplying and dividing decimals by 10, 100, or 1,000. It emphasizes the importance of understanding place value and how the position of digits changes the value of numbers. The tutorial includes detailed examples, such as multiplying 32.1 by 10 and dividing 3632.1 by 10, as well as multiplying and dividing 455 by 1,000. Each example is explained using a place value chart to visualize the changes in digit positions and values.

What happens to a number when you multiply it by 10?

• It becomes 10 times smaller.

• It becomes 10 times larger.

• It remains the same.

• It becomes 100 times larger.

When dividing a number by 10, what happens to the decimal point?

• It disappears.

• It stays in the same position.

• It moves one place to the right.

• It moves one place to the left.

In the number 32.1, what is the value of the digit '3' when multiplied by 10?

• 3

• 300

• 30

• 3000

What is the final result of multiplying 32.1 by 10?

• 3.21

• 32.1

• 321

• 3210

When dividing 3,632.1 by 10, where does the digit '3' in the thousands place move to?

• Tenths place

• Hundreds place

• Tens place

• Ones place

What is the result of dividing 3,632.1 by 10?

• 3632.1

• 363.21

• 36.321

• 3.6321

When multiplying 455 by 1,000, what happens to the digit '4' in the hundreds place?

• It moves to the hundred-thousands place.

• It moves to the ten-thousands place.

• It moves to the thousands place.

• It moves to the tens place.

What is the final result of multiplying 455 by 1,000?

• 455

• 455,000

• 4,550

• 45,500

When dividing 455 by 1,000, where does the digit '4' in the hundreds place move to?

• Tenths place

• Hundredths place

• Thousandths place

• Ones place

What is the result of dividing 455 by 1,000?

• 455

• 45.5

• 4.55

• 0.455