When multiplying a decimal by a power of 10, the product increases. This is because multiplying by a power of 10 shifts the decimal point to the right, effectively making the number larger. For example:
- \(0.5 \times 10^1 = 5\) (shift the decimal point one place to the right)
- \(0.5 \times 10^2 = 50\) (shift the decimal point two places to the right)
So the correct answer is b. Increases.