Question

divide 0.846 ÷ 0.039. round the quotient to the nearest hundredth. the quotient is approximately \square. (round to the nearest hundredth as needed.)

Explanation:

Step1: Perform the division

To divide \(0.846\div0.039\), we can multiply both the numerator and the denominator by 1000 to eliminate the decimals. So we have \(\frac{0.846\times1000}{0.039\times1000}=\frac{846}{39}\). Now, divide 846 by 39: \(846\div39 = 21.6923\cdots\)

Step2: Round to the nearest hundredth

The hundredth place is the second decimal place. The number is \(21.6923\cdots\). The digit in the thousandth place is 2, which is less than 5, so we round down. So the number rounded to the nearest hundredth is \(21.69\).

Answer:

\(21.69\)