Wait.. Lucida, I didn't understand you.
8/2 is an integer because it hasn't been completely simplified to 4.
0.9999... is not an integer because you can see with your eyes that it is not. But, it is, for all intensive purposes, 3/3. Basically, the 3/3 thing is like putting a negative into a radical.
I feel everybody has overcomplicated things.
In terms of ARE THEY DIFFERENT NUMBERS, AS ON THE NUMBER LINE!!!, as in, the 1 2 3. YESSS GOD. 0.999... is NOT 1 BECAUSE IT DOES NOT SAY 1 IT IS 0.99999... IF IT WERE 1 0.999... should not even exist, but it DOES and it CAN.
Is 99.999...%, 100%? Noooooo, in terms of real life,. Even though technically, there is a difference of 0.000...! IT IS NOT 100% because ITS NOT. ITS 99.999...% BECAUSE IT FEELS LIKE IT.
I know what you're thinking, but.. 0.000... might as well make it 100%, BUT, IT IS 99.999...%, because it is not 100%! ARGHH, I CANT PROVE THIS POINT!!!
YOU KNOW WHAT I MEAN. FORGET ANYTHING RELATED TO MATHEMATICS!!!! DO YOUR EYES SEE 1!!!!!?????!!?!? NOOOOOOOOO THEY SEE 0.999....
WHY DOES 0.999... EXIST AT ALL, HMMMMMM?
In terms of MATHHH AND EVERYTHING RELATED, 0.999..=1 because there is no significant difference between the numbers! Are you really going to care? It goes on infinity and obviously you aren't going to go through the pain of adding or multiplying 0.999... when you could just use 1, which is in no real way different from 0.999... .
YOU GUYS ARE DOING THE EQUIVALENT OF TRYING TO FIND THE END TO INFINITY. STOP. YOUR HEAD WILL EXPLODE.
0.999...=1
In reality, 0.999... is about equal(estimated to)/not 1, BUT NO ONE GIVE A S*** SO WE JUST SAY 1.
In end, 0.999.. is 1 and it is not 1.