RE: [split] 0.999... equals 1
October 14, 2009 at 2:47 pm
(This post was last modified: October 14, 2009 at 2:48 pm by Retorth.)
Sae,
Your issue:
0.99999999999999999999999999999999999999(infinite9) cannot = 1 because there should be a 0.0000000000000000000000000000000000000000000000000000000000001 somewhere at the end.
I believe this is accurately your issue yes?
While it makes sense that 0.9 can never equal 1 because 0.1 is needed, what Adrian, and I think pretty much everyone else on this thread, is trying to show you is that the string of .999999999(infinite9)'s can be subtracted off by itself. Instead of looking solely at your issue above that 0.00001 is needed to fill the "gap", look at the string subtracting itself. This effectively makes your case for argument redundant if I may say so.
As Adrian pointed out earlier:
9.9 - 0.9 = 9
9.99 - 0.99 = 9
9.999 - 0.999 = 9
and so on and so forth.
If its 9.999999(infinite9) - 0.9999999(infinite9), it will still be 9 because the decimal placing is infinite which makes it both the same length so it subtracts itself off making it a non-issue and leaving you with a simple, sexy 9.
Your issue:
0.99999999999999999999999999999999999999(infinite9) cannot = 1 because there should be a 0.0000000000000000000000000000000000000000000000000000000000001 somewhere at the end.
I believe this is accurately your issue yes?
While it makes sense that 0.9 can never equal 1 because 0.1 is needed, what Adrian, and I think pretty much everyone else on this thread, is trying to show you is that the string of .999999999(infinite9)'s can be subtracted off by itself. Instead of looking solely at your issue above that 0.00001 is needed to fill the "gap", look at the string subtracting itself. This effectively makes your case for argument redundant if I may say so.
As Adrian pointed out earlier:
9.9 - 0.9 = 9
9.99 - 0.99 = 9
9.999 - 0.999 = 9
and so on and so forth.
If its 9.999999(infinite9) - 0.9999999(infinite9), it will still be 9 because the decimal placing is infinite which makes it both the same length so it subtracts itself off making it a non-issue and leaving you with a simple, sexy 9.
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"Only the dead have seen the end of war..." - Plato
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"Only the dead have seen the end of war..." - Plato
“Those who wish to base their morality literally on the Bible have either not read it or not understood it...” - Richard Dawkins