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

When dividing a decimal by a power of 10, the quotient moves the decimal point to the left by the number of zeros in the power of 10. For example, dividing by \(10^2\) shifts the decimal point two places to the left.

In summary:

• Multiplying: Decimal point moves to the right.
• Dividing: Decimal point moves to the left.