Web Analytics

find two mixed numbers such that when you estimate their sum by rounding to the nearest whole number you get a different estimate than when you round to the nearest half.

Verified Answer :

5 and 1/4 + 5 and 1/2

Answer:

The required number is \(3\frac{11}{17}\) and \(5\frac{11}{17}\)

Step-by-step explanation:

Consider the provided information.

There can be infinite numbers whose sum by rounding to the nearest whole number you get a different estimate than when you round to the nearest half.

For example take the number:

\(3\frac{11}{17}\) and \(5\frac{11}{17}\)

The rounding to the nearest whole number is:

\(3\frac{11}{17}=4\) and \(5\frac{11}{17}=6\)

Thus, the sum of the number is:

4+6 = 10

When you round to the nearest half:

\(3\frac{11}{17}=3\frac{1}{2}\) and \(5\frac{11}{17}=5\frac{1}{2}\)

Thus, the sum of the number is:

\(3\frac{1}{2}+5\frac{1}{2}=9\)

Hence, the required number is \(3\frac{11}{17}\) and \(5\frac{11}{17}\)