(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 shifts the decimal point to the right by as many places as there are zeros in the power of 10. For example, multiplying by \(10^2\) (which is 100) moves the decimal point two places to the right.

When dividing a decimal by a power of 10, the quotient shifts the decimal point to the left by as many places as there are zeros in the power of 10. For example, dividing by \(10^2\) (which is 100) moves the decimal point two places to the left.