Obviously, the exact sum can be obtained by adding the distances.
A quick estimate can be made by rounding the figures to the nearest thousand, and then adding the results. The result will be 2 + 1 + 1 + 2 + 2 = 8.
So, 8,000 miles will be the quick estimate. The actual distance was 8,476 miles. Normally, the value of 8,476 would be rounded down to 8,000.