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

5 and 1/4 + 5 and 1/2

Answer 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 $5\frac{11}{17}$