Here, it's a question of resolution, with a proven history that transitions screw the consumer, though maybe it won't be so. We're ok with arbitrary hundredths of a dollar, why were we not at thousandths? The American half cent disappeared a long time ago. You still need to include the cents in a tax bill that runs into the millions of dollars.
It's just an awkward stage in inflation. Eventually a US dollar will be worth what a Zimbabwean dollar was, and we won't have $100 bills anymore.