Question

write a division problem whose quotient has its first digit in the hundreds place.

Explanation:

Step1: Determine the range of dividend and divisor

To have the first digit of the quotient in the hundreds place, the dividend should be at least a three - digit number when divided by a one - digit or two - digit number. If we consider dividing by a one - digit number, let's say the divisor is \(d\) and the quotient is \(q\) where \(q\) is a three - digit number (so \(q\geq100\)). Then the dividend \(n = q\times d\). If we take \(d = 2\) and \(q=100\), then \(n=100\times2 = 200\).

Step2: Form the division problem

Using the values we found, the division problem can be \(200\div2\). When we perform the division \(200\div2=\frac{200}{2}=100\). The quotient \(100\) has its first digit (1) in the hundreds place.

Answer:

\(200\div2\) (Other valid examples could be \(300\div3\), \(400\div4\) etc. as long as the quotient has its first digit in the hundreds place)