3 ms·
> Any argument that 0.999... is not quite 1 can also be used to argue that 0.333... is not quite 1/3. Yes, but there aren’t good arguments for either of them,
by baddox 6y ago
> Any argument that 0.999... is not quite 1 can also be used to argue that 0.333... is not quite 1/3.
Yes, but there aren’t good arguments for either of them, and that’s the point. The difference is that you have probably already learned how to divide 1 by 3 and have thus convinced yourself that 1/3 does indeed equal 0.333 repeating. It’s not so simple to come to the conclusion that 0.999 repeating equals 1 from simple long division that you would encounter in grade school.