A separate record is necessary. The G/L will account for each 1ยข, but you would ignore all amounts under the de minimus amount. Also, I would ignore whether over or short and track the total of errors, not the net (unless you are satisfied that the consecutive errors offset each other).
A teller with no reportable overs & shorts is much different than one over early in the review cycle who may pay out the overage late in the cycle to also show a net $0.00.
Al
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Al Miller, CRCM
Opinions expressed are my own and not necessarily shared by my employer.