#623.425# rounded to the nearest integer is #623#

#702.725# rounded to the nearest integer is #703#

Consider the second of these: #702.725#

The candidates to look at are #702# and #703#.

#702.725# is nearer to #703# because:

#abs(703-702.725) = 0.275 < 0.725 = abs(702-702.725)#

The tricky case is where you need to round a half integer such as #3.5# to the nearest integer. You could choose #3# or #4# and it is possible to argue for either. Accountants frequently choose to round to the nearest even integer in these cases, because if you add several rounded numbers together it is more likely to come out nearer the result of first adding the original numbers and rounding the result.