Rewrite expression without decimal: Rewrite the expression without decimal. To make the division easier, we can eliminate the decimals by multiplying both the dividend (33.8) and the divisor (2.6) by the same power of 10. In this case, we can multiply both by 10 to move the decimal one place to the right. 33.8 becomes 338 and 2.6 becomes 26.Divide whole numbers: Divide the whole numbers. Now we divide 338 by 26 using long division. 338 ÷ 26 = 13 with a remainder of 0.Check for remaining decimal places: Check for any remaining decimal places. Since we multiplied both numbers by 10 in Step 1, we do not need to adjust the decimal places in our final answer.

Grade 6

Multiply and divide decimals by powers of ten

Full solution

Q. Divide.

\newline

33.8 \div 2.6 =

Rewrite expression without decimal: Rewrite the expression without decimal. $\newline$ To make the division easier, we can eliminate the decimals by multiplying both the dividend ( $33.8$ ) and the divisor ( $2.6$ ) by the same power of $10$ . In this case, we can multiply both by $10$ to move the decimal one place to the right. $\newline$ $33.8$ becomes $338$ and $2.6$ becomes $26$ .
Divide whole numbers: Divide the whole numbers. $\newline$ Now we divide $338$ by $26$ using long division. $\newline$ $338 \div 26 = 13$ with a remainder of $0$ .
Check for remaining decimal places: Check for any remaining decimal places. $\newline$ Since we multiplied both numbers by $10$ in Step $1$ , we do not need to adjust the decimal places in our final answer.