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 0.23 has two decimal places, we multiply both numbers by 100. 1.932 × 100 = 193.2 0.23 × 100 = 23Divide new dividend by new divisor: Divide the new dividend by the new divisor. Now we divide 193.2 by 23. 193.2 ÷ 23 = 8.4Check the result: Check the result. We can multiply the quotient by the divisor to see if we get the original dividend. 8.4 × 23 = 193.2 Since 193.2 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

1.932\div0.23=

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 $0.23$ has two decimal places, we multiply both numbers by $100$ . $\newline$ $1.932 \times 100 = 193.2$ $\newline$ $0.23 \times 100 = 23$
Divide new dividend by new divisor: Divide the new dividend by the new divisor. $\newline$ Now we divide $193.2$ by $23$ . $\newline$ $193.2 \div 23 = 8.4$
Check the result: Check the result. $\newline$ We can multiply the quotient by the divisor to see if we get the original dividend. $\newline$ $8.4 \times 23 = 193.2$ $\newline$ Since $193.2$ matches our adjusted dividend from Step $1$ , our division is correct.