Divide. 16.872÷0.24=

Eliminate decimal from divisor: Eliminate the decimal from the divisor. To divide by a decimal, you can multiply the divisor and the dividend by the same power of 10 to make the divisor a whole number. Since 0.24 has two decimal places, we multiply both numbers by 100 to eliminate the decimal. 16.872 × 100 = 1687.2 0.24 × 100 = 24Divide new dividend by new divisor: Divide the new dividend by the new divisor. Now we divide 1687.2 by 24. 1687.2 ÷ 24 = 70.3Check the result: Check the result. To check the division, we can multiply the quotient by the divisor to see if we get the original dividend. 70.3 × 24 = 1687.2 Since this matches our original dividend after adjusting for the decimal places, our division is correct.

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Divide. $\newline$ $16.872 \div 0.24 =$

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Math Problems

Grade 6

Multiply and divide decimals by powers of ten

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Q. Divide.

\newline

16.872 \div 0.24 =

Eliminate decimal from divisor: Eliminate the decimal from the divisor. $\newline$ To divide by a decimal, you can multiply the divisor and the dividend by the same power of $10$ to make the divisor a whole number. Since $0.24$ has two decimal places, we multiply both numbers by $100$ to eliminate the decimal. $\newline$ $16.872 \times 100 = 1687.2$ $\newline$ $0.24 \times 100 = 24$
Divide new dividend by new divisor: Divide the new dividend by the new divisor. $\newline$ Now we divide $1687.2$ by $24$ . $\newline$ $1687.2 \div 24 = 70.3$
Check the result: Check the result. $\newline$ To check the division, we can multiply the quotient by the divisor to see if we get the original dividend. $\newline$ $70.3 \times 24 = 1687.2$ $\newline$ Since this matches our original dividend after adjusting for the decimal places, our division is correct.