Thread: .999~ = 1
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Unread 26-01-2004, 13:35
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Re: .999~ = 1

Quote:
Originally Posted by Jeremy_Mc
Not quite

1 = 1

-1 = -1

-1/1 = -1/1

-1/1 = -1/1(-1/-1)

-1/1 = 1/-1

(-1/1)^.5 = (1/-1)^.5

((-1)^.5) / (1^.5) = (1^.5) / ((-1)^.5)
cross multiply, and you get


Did you forget order of operations?
Exponents first

(1/-1) / (1/1) = (1/1) / (1/-1)

(-1) / (1) = (1) / (-1)

-1 != 1
-1 = -1

Atleast I'm pretty sure that's right...

no. order of operations only matters when you are actually evaluating something. you are not yet evaluating at this point, only at the end.

The reason why this little tidbit of confusion can exist is because the laws governing the use of the subdivision of fractions involving roots do not extend into the realm of imaginary numbers.
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