Eff this, philly mike is an idi0t, ask zdunklee.

[zdunklee]

NO I DIDN'T, I NEVER EVER MULTIPLIED TO GET THAT... how hard is that to understand, you are looking at them as seperate statements which they are not, they are equivalent statements from one line to the next.

Also, 8.999... = 9 anyway.

what do you mean you never multiplied???

x = 0.9999...
10x = 9.9999... 10*0.999... =9.999...
10x - x = 9.9999... - 0.9999... 10*0.999...-0.999... = 9
9x = 9
x = 1.


those are multiplication so why is 9x any different

and 8.999... only equals 9 if you go along with the assumption that 0.999 = 1 which is what you were supposed to be showing proof of when you posted the statement itself.


The whole bases of what you are talking about with real numbers is working with the assumption that 0.999... = 1

It is not an assumption, that is what I am trying to get across, it is the very definiton of the Real numbers. A real number is defined as a sequence of Rational numbers whose limit = x, where x can be any real number you want and I can find a sequence of Rational numbers that it is equal to. Thus every real number is the limit of a sequence of Rationals.

For example SQRT(2) = , where an=3/2.

Also SQRT(2) is the reason that the real numbers were created in the first place, before the 1500's there was no such thing as the real numbers and SQRT(2) was considered an imaginary number.