Question

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.

Answer 1

The required number is
`3(11)/(17)` and
`5(11)/(17)`

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(11)/(17)` and
`5(11)/(17)`

The rounding to the nearest whole number is:

`3(11)/(17)=4` and
`5(11)/(17)=6`

Thus, the sum of the number is:

4+6 = 10

When you round to the nearest half:

`3(11)/(17)=3(1)/(2)` and
`5(11)/(17)=5(1)/(2)`

Thus, the sum of the number is:

`3(1)/(2)+5(1)/(2)=9`

Hence, the required number is
`3(11)/(17)` and
`5(11)/(17)`