(2 points)

Question

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. For example, multiplying by \( 10^1 \) shifts it one place to the right, multiplying by \( 10^2 \) shifts it two places to the right, and so on.

When dividing a decimal by a power of 10, the quotient shifts the decimal point to the left. For example, dividing by \( 10^1 \) shifts it one place to the left, dividing by \( 10^2 \) shifts it two places to the left, and so on.