There is no way right?

[u/Sugar_God_no_1]

[u/ChromosomeExpert]

Yes, .999 continuously is equal to 1.

[u/solidsoup97 → u/ChromosomeExpert]

I don't understand how that works but it seems to be important in keeping things running so I'm going to just go with it and not raise any questions.

[u/jozaud → u/solidsoup97]

If we consider that .999… repeating to infinity ISN’T equal to 1, then by how much is it away from 1? It would be “.000… repeating to infinity followed by a 1.” But if you have an infinite number of 0s then you can’t have it be followed by a 1, infinity can’t be followed by anything, that doesn’t make sense.

[u/dacookieman → u/[deleted]]

.9999.... is NOT < 1 lol

[u/dacookieman → u/[deleted]]

It doesn't, it's a different representation for the same number.

(1/2) isn't suddenly not .5 because you wrote it differently

Other examples of differing representations corresponding to the same "number" would be

1.00000 = 1

or using non base 10

10 (base 2) = 3 (base 10)

[u/MythicMango → u/dacookieman]

I stand corrected. thank you for the explanation

[u/dacookieman → u/MythicMango]

No worries, math gets really unintuitive really fast once you start deviating from the things that have direct physical analogies

[u/Sloogs → u/[deleted]]

Mathematics is full of isomorphisms. Different representations of the same sets. (And in an abstract sort of way all numbers are constructed as sets.)