As Ilmari Karonen says, if you round to the nearest penny, and then to the nearest dollar, the result should be the same as if you rounded directly to the nearest dollar.
If on the other hand you are only checking the sums of each rows, then rounding differences may become apparent, and the more terms there are in each row, the more likely they are to occur. I once wrote a note _May not sum to total due to rounding: the probability of rounding errors_