Question

the insulation company estimates a customer will save 9.5% on her heating bill with a new high efficiency boiler. what is 9.5% expressed as a decimal?

Explanation:

Step1: Recall percentage to decimal conversion

To convert a percentage to a decimal, we divide the percentage value by 100. This is because "percent" means "per hundred", so \( x\%=\frac{x}{100} \).

Step2: Apply the conversion to 9.5%

For \( 9.5\% \), we perform the division \( 9.5\div100 \). Dividing a number by 100 is equivalent to moving the decimal point two places to the left. So, moving the decimal point in 9.5 two places to the left gives 0.095.

Answer:

0.095