<p>Norris212, I think Auburnmathtutor already answered your current question in the previous page:
"Close, soggy_daisy, but…</p>
<p>x = 0.999…
10x = 9.999…0
10x - x = 9.999…0 - 0.999…
9x = 8.999…81
x = 0.999…</p>
<p>By the way, the notation x.xxx…x means “an infinite number of whatevers, ending with a whatever.” I know that totally blew your mind. "</p>
<p>and I agree with him, x = 0.9999999… Let’s say the number of nines is N. If you multiply x by 10 you move up one decimal place, but you have the name number of nines (N) so you end up with a “0” at the end (if you want 10x and x to have the same amount of decimal places):
x = 0.9999…999 and 10x = 9.9999…990.
so 10x - x = 8.9999…991
so x =/= 1
and remember those 2 "x"s are equal so they must have the same number of nines even if they approach to infinity, thats why i said theres a N number of nines, we dont know how much is N but we do know the number of nines wont change if you multiply it by 10.</p>