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?

• It remains the same.

• It decreases by 10 times.

• It increases by 10 times for each power.

• It decreases by 100 times.

When multiplying the number 4 by 10 to the third power, what is the result?

• 40000

• 4000

• 400

• 40

How does multiplying a decimal number by 10 to the second power affect its digits?

• Each digit shifts one place to the right.

• Each digit shifts two places to the left.

• Each digit remains in the same place.

• Each digit shifts two places to the right.

What is the product of 692 thousandths multiplied by 10 to the third power?

• 69.2

• 6920

• 6.92

• 692

How does the decimal point move when multiplying a decimal by a power of 10?

• It moves one place to the left for each power.

• It moves two places to the right for each power.

• It moves one place to the right for each power.

• It stays in the same position.

What is a common mistake when multiplying numbers by powers of 10?

• Thinking the decimal point moves to the left.

• Believing you add a zero for each power only for whole numbers.

• Thinking you need to divide by 10.

• Assuming the number decreases in value.

What is the result of multiplying 2 and 905 thousandths by 10 to the third power?

• 290.5

• 2.905

• 2905

• 29.05