Question

divide. then estimate to see whether the proposed answer is reasonable.
3.5\overline{)20.3}

find the exact quotient of the two numbers.
3.5\overline{)20.3}=\square
(type an integer or a decimal.)

Explanation:

Step1: Convert divisor to integer

Multiply both dividend and divisor by 10 to eliminate the decimal in the divisor. So, \(3.5\times10 = 35\) and \(20.3\times10 = 203\). Now we have to divide \(203\div35\).

Step2: Perform the division

We know that \(35\times5 = 175\) and \(203 - 175 = 28\). Then, \(28\div35 = 0.8\). So, \(5 + 0.8 = 5.8\).

Answer:

\(5.8\)