I considered deleting the post, but this seems more cowardly than just admitting I was wrong. But TIL something!
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It depends what worth entails - if it's just the monetary value then yeah they're the same, but if the worth also comes from desirability and convenience, then infinite stack of 100 dollar bills would be way more desirable when compared to 1 dollar bills.
Less space needed to carry the money around (assuming it's stored in some negative space and you just grab a bunch of bills when you wanna buy something), faster to take the bills for higher value items and easier to count as well.
This is especially true if you live in a place where the 1 dollar option would mean infinite coins rather than bank notes. :P
But then you can imagine you found a pirate's chest with all the coins inside 🤩