Eliminate decimal from divisor: Eliminate the decimal from the divisor. To make the division simpler, we can multiply both the divisor (0.31) and the dividend (1.395) by the same power of 10 to eliminate the decimals. In this case, we can multiply both by 100 to move the decimal two places to the right. 1.395 becomes 139.5 and 0.31 becomes 31.Perform division with whole numbers: Perform the division with whole numbers. Now we divide 139.5 by 31. 139.5 ÷ 31 = 4.5Verify the result: Verify the result. To check the division, we can multiply the quotient by the divisor to see if we get the original dividend. 4.5 × 31 = 139.5 Since 139.5 is the original dividend, our division is correct.

Grade 6

Multiply and divide decimals by powers of ten

Full solution

Q. Divide.

\newline

1.395\div0.31=

Eliminate decimal from divisor: Eliminate the decimal from the divisor. $\newline$ To make the division simpler, we can multiply both the divisor ( $0.31$ ) and the dividend ( $1.395$ ) by the same power of $10$ to eliminate the decimals. In this case, we can multiply both by $100$ to move the decimal two places to the right. $\newline$ $1.395$ becomes $139.5$ and $0.31$ becomes $31$ .
Perform division with whole numbers: Perform the division with whole numbers. $\newline$ Now we divide $139.5$ by $31$ . $\newline$ $139.5 \div 31 = 4.5$
Verify the result: Verify the result. $\newline$ To check the division, we can multiply the quotient by the divisor to see if we get the original dividend. $\newline$ $4.5 \times 31 = 139.5$ $\newline$ Since $139.5$ is the original dividend, our division is correct.