When multiplying a decimal by a power of 10, the product:
- increases
This is because multiplying by 10, 100, 1000, etc., shifts the decimal point to the right, making the number larger.
When dividing a decimal by a power of 10, the quotient:
- decreases
This is because dividing by 10, 100, 1000, etc., shifts the decimal point to the left, making the number smaller.