This seems to be conflating 0.333...3 with 0.333... One is infinitesimally close to 1/3, the other is a decimal representation of 1/3. Indeed, if 1-0.999... resulted in anything other than 0, that would necessarily be a number with more significant digits than 0.999... which would mean that the ... failed to be an infinite repetition.
This seems to be conflating
0.333...3
with0.333...
One is infinitesimally close to 1/3, the other is a decimal representation of 1/3. Indeed, if1-0.999...
resulted in anything other than 0, that would necessarily be a number with more significant digits than0.999...
which would mean that the...
failed to be an infinite repetition.