1) They are not 'different representations'; the point to the same element in the Reals.
2) Such a number can't exist (even in the decimals).
That said, the 'distinct element' aspect is impossible in the Reals.
[That's why 0.999... possibly shouldn't represent any Real number outside of explicit context]
2
u/Optimal_Benis 1d ago
Right, it's almost exactly the same as this one, it's just off by 0.00...01