1 definition by Guam

.999999999~

It's equal to one, and the proff is through the way you convert rational repeating numbers to fractions. if you let x = .999999999~ and let 10*x = 9.9999 repeating then 10 x - x = 9x = 9.99999 repeating - .99999 repeating = 9. SO 9x is 9 and x is equal to one. and since we started out wiht x equaling .9999 repeating we know that .9999 repeating = 1.

This could be done with .999999999~ anbd the result would show that .999999999~ = 1
x = .333...
10x = 3.333...
10x = 3.333...
- x = 0.333...
9x = 3
x = 3/9
x=1/3
.333... = x = 1/3

by Guam October 9, 2006