Rewrite without decimal: Rewrite the expression without decimal. To make the division simpler, we can eliminate the decimals by multiplying both the dividend (41.501) and the divisor (4.7) by the same power of 10. In this case, we can multiply both by 100 to move the decimal two places to the right. 41.501 becomes 4150.1 and 4.7 becomes 470.Divide whole numbers: Divide the whole numbers. Now we divide 4150.1 by 470. 4150.1 ÷ 470 = 8.830851063829787 (using a calculator or long division).Check decimal places: Check the decimal places. We moved the decimal two places to the right for both numbers in Step 1, so we don't need to adjust the decimal places in our result.Round if necessary: Round the result if necessary. The result from Step 2 is already precise to the thousandths place, which matches the precision of the original dividend (41.501). Therefore, no rounding is necessary.

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Divide. $\newline$ $41.501 \div 4.7 =$

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Math Problems

Grade 6

Multiply and divide decimals by powers of ten

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Q. Divide.

\newline

41.501 \div 4.7 =

Rewrite without decimal: Rewrite the expression without decimal. $\newline$ To make the division simpler, we can eliminate the decimals by multiplying both the dividend ( $41.501$ ) and the divisor ( $4.7$ ) by the same power of $10$ . In this case, we can multiply both by $100$ to move the decimal two places to the right. $\newline$ $41.501$ becomes $4150.1$ and $4.7$ becomes $470$ .
Divide whole numbers: Divide the whole numbers. $\newline$ Now we divide $4150.1$ by $470$ . $\newline$ $4150.1 \div 470 = 8.830851063829787$ (using a calculator or long division).
Check decimal places: Check the decimal places. $\newline$ We moved the decimal two places to the right for both numbers in Step $1$ , so we don't need to adjust the decimal places in our result.
Round if necessary: Round the result if necessary. $\newline$ The result from Step $2$ is already precise to the thousandths place, which matches the precision of the original dividend ( $41.501$ ). Therefore, no rounding is necessary.