(2 points) When multiplying a decimal by a power of 10, the product . When dividing a decimal by a power of 10, the quotient

Answer 1

When multiplying a decimal by a power of 10, the product will move the decimal point to the right by as many places as the exponent of 10. For example:

• Multiplying \(0.5\) by \(10^2\) (which is \(100\)) results in \(50.0\) (the decimal moves two places to the right).

When dividing a decimal by a power of 10, the quotient will move the decimal point to the left by as many places as the exponent of 10. For example:

• Dividing \(5.0\) by \(10^2\) (which is \(100\)) results in \(0.05\) (the decimal moves two places to the left).

In summary:

• Multiplying by a power of 10: Moves the decimal point to the right.
• Dividing by a power of 10: Moves the decimal point to the left.