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:
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 \(5\frac{11}{17}\)