>>11610194Yes, however if you actually try and square it you will realize there are an indefinite number of 9s between the 1 and any of the 9's you would use in later operations which makes it "equivalent" to .9 repeating without a 1.
I've gone over this in many of the previous threads. Any operation you apply to 0.999... will have the same effect as if you were applying the operation to 1, because of the infinite number of 9s between the last digit.
0.999... + 0.999... = 1.999... ...98
Notice it ends in 8, as you would expect, however...
Because of the ellipses, 1.999... ...98 becomes practically equivalent to 1.999... Because you will never be able to "use" the 8 in a calculation because you will never reach it.
This is true for any number with any infinitely repeating sequence of digits. Nothing coming "after" the indefinite repetition can be used in a calculation making it ineffective.
So since 0.999...8 is practically equivalent to 0.999... and since there is no number between 0.999... and 1 it becomes in some sense "practically the same as" 1.
