Eliminate decimal from divisor: Eliminate the decimal from the divisor. To divide by a decimal, we can multiply both the divisor and the dividend by the same power of 10 to make the divisor a whole number. Since 0.61 has two decimal places, we multiply both numbers by 100. 4.087 × 100 = 408.7 0.61 × 100 = 61Divide by adjusted numbers: Divide the new dividend by the new divisor. Now we divide 408.7 by 61. 408.7 ÷ 61 = 6.7Check the division result: Check the result. We can multiply the quotient by the divisor to see if we get the original dividend. 6.7 × 61 = 408.7 Since this matches our adjusted dividend from Step 1, our division is correct.

Grade 6

Multiply and divide decimals by powers of ten

Full solution

Q. Divide.

\newline

4.087 \div 0.61=

Eliminate decimal from divisor: Eliminate the decimal from the divisor. $\newline$ To divide by a decimal, we can multiply both the divisor and the dividend by the same power of $10$ to make the divisor a whole number. Since $0.61$ has two decimal places, we multiply both numbers by $100$ . $\newline$ $4.087 \times 100 = 408.7$ $\newline$ $0.61 \times 100 = 61$
Divide by adjusted numbers: Divide the new dividend by the new divisor. $\newline$ Now we divide $408.7$ by $61$ . $\newline$ $408.7 \div 61 = 6.7$
Check the division result: Check the result. $\newline$ We can multiply the quotient by the divisor to see if we get the original dividend. $\newline$ $6.7 \times 61 = 408.7$ $\newline$ Since this matches our adjusted dividend from Step $1$ , our division is correct.