Question

decimal percent of a whole
score: 3/10 penalty: none
question
find 150.3% of 272.6. round to the nearest thousandth.

Explanation:

Step1: Convert percent to decimal

To convert a percentage to a decimal, divide by 100. So, \( 150.3\% = \frac{150.3}{100} = 1.503 \).

Step2: Multiply by the whole number

Multiply the decimal by 272.6: \( 1.503 \times 272.6 \).
Calculating this: \( 1.503 \times 272.6 = 409.7178 \).

Step3: Round to nearest thousandth

The number 409.7178 rounded to the nearest thousandth (three decimal places) is 409.718 (since the fourth decimal is 8, which is ≥5, we round up the third decimal).

Answer:

409.718