- #1
curleymatsuma
- 2
- 0
Hi there, this is my first post here so I'm sorry if this is in the wrong place, asked before, standard newbie apologies :P
So I am well aware of the proof that 0.9 recurring =1
x = 0.99999999...
10 x = 9.99999999...
10x - x = 9.999999... - 0.99999...
9x = 9
x = 1 = 0.999999...
However my question is this. Is 0.9 recurring accepted in mathematics as being equal to 1, or are they considered distinct numbers?
I also understand that there are an infinite number of nines and in pretty much ANY situation theoretical or otherwise the difference is completely negligible. I would just like to clarify in my mind whether this number is thought of as being equal to 1 or not?
Thanks,
Matt
So I am well aware of the proof that 0.9 recurring =1
x = 0.99999999...
10 x = 9.99999999...
10x - x = 9.999999... - 0.99999...
9x = 9
x = 1 = 0.999999...
However my question is this. Is 0.9 recurring accepted in mathematics as being equal to 1, or are they considered distinct numbers?
I also understand that there are an infinite number of nines and in pretty much ANY situation theoretical or otherwise the difference is completely negligible. I would just like to clarify in my mind whether this number is thought of as being equal to 1 or not?
Thanks,
Matt