28 Jan
2013
28 Jan
'13
7:13 a.m.
On Mon, Jan 28, 2013 at 7:16 AM, Eric Angelini <Eric.Angelini@kntv.be>wrote:
And what about: 1/3 = 0.6666666666666666666666666666666... ... re-written as: 1/3 = 0.6599999999999999999999999999999... 1/3 = 0.6666659999999999999999999999999...
The only real numbers with two decimal representations are integers divided by powers of ten; those can be written with an infinite tail of 0s, as usual, or an infinite tail of 9's. Your choice of 2/3 isn't of this flavor; it can only be written one way. Your versions with an infinite tail of 9s are indeed one of two representations -- but not of 2/3! For example, 0.6666659999999999999999999999999... = 0.666666 --Michael -- Forewarned is worth an octopus in the bush.