Is the “infinity” between numbers actually infinite?

Question

Can numbers get so small (or so large) that there is kind of a “planck length” effect where you just can’t get any smaller? Or is it really possible to have 1.000000…(infinite)1

EDIT: I know planck length is not a mathmatical function, I just used it as an anology for “smallest thing technically mesurable,” hence the quotation marks and “kind of.”

In: 87

Answer 1

It’s not possible to get actually infinite number of zeroes before the final one, because the presence of that final one would inevitably make the preceding sequence of zeroes finite. It is, however, always possible to add another zero to any finite sequence of zeroes, making the number of possible sequences infinite.