To estimate the sum and differences of \(23.2 - 9.71\), we can round the numbers to make the calculations easier.
- Round \(23.2\) to \(23\).
- Round \(9.71\) to \(10\).
Now, we can calculate the estimated difference:
\[ 23 - 10 = 13 \]
So, the estimated difference of \(23.2 - 9.71\) is approximately \(13\).
If you want the actual difference:
\[ 23.2 - 9.71 = 13.49 \]
Thus, the estimated difference is \(13\), and the exact difference is \(13.49\).