Find 149.6% of 244.1 . Round to the nearest thousandth. Answer:

Understand the problem: Understand the problem. We need to calculate what 149.6% of 244.1 is and then round the result to the nearest thousandth. To find a percentage of a number, we convert the percentage to a decimal and then multiply it by the number.Convert to decimal: Convert the percentage to a decimal. To convert a percentage to a decimal, we divide it by 100. 149.6% as a decimal is 149.6 ÷ 100 = 1.496.Multiply by the number: Multiply the decimal by the number. Now we multiply the decimal form of the percentage by the number to find the required value. 1.496 × 244.1 = 365.0896.Round to nearest thousandth: Round the result to the nearest thousandth. To round to the nearest thousandth, we look at the digit in the ten-thousandth place (which is 9 in this case). Since it is 5 or more, we round up the digit in the thousandth place. Therefore, 365.0896 rounded to the nearest thousandth is 365.090.

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Math Problems

Grade 6

Percents of numbers: fractional and decimal percents

Full solution

Q. Find

149.6 \%

244

1

. Round to the nearest thousandth.

\newline

Answer:

Understand the problem: Understand the problem. $\newline$ We need to calculate what $149.6\%$ of $244.1$ is and then round the result to the nearest thousandth. $\newline$ To find a percentage of a number, we convert the percentage to a decimal and then multiply it by the number.
Convert to decimal: Convert the percentage to a decimal. $\newline$ To convert a percentage to a decimal, we divide it by $100$ . $\newline$ $149.6\%$ as a decimal is $149.6 \div 100 = 1.496$ .
Multiply by the number: Multiply the decimal by the number. $\newline$ Now we multiply the decimal form of the percentage by the number to find the required value. $\newline$ $1.496 \times 244.1 = 365.0896$ .
Round to nearest thousandth: Round the result to the nearest thousandth. $\newline$ To round to the nearest thousandth, we look at the digit in the ten-thousandth place (which is $9$ in this case). Since it is $5$ or more, we round up the digit in the thousandth place. $\newline$ Therefore, $365.0896$ rounded to the nearest thousandth is $365.090$ .