03-11-2009, 08:33 PM
Philly Mike Wrote:how is a fraction the truest form of a number???? that really makes no sense. A fraction is a representation of the--
MIKE, mike, mike, mike... mike....
you're being glib!
i think the meaning of "fraction is the truest form of a number" is that fractions are the simplest way to write out a representation of an irrational number. no matter how many decimal points you use, you can't write out the exact decimal of, oh, say 1/7.
"but you just said 0.999... = 1! how can you say that, and then tell me that using decimals for irrational numbers is inaccurate?"
we're using the "..." to represent an infinite repeat without wasting an assload of space.
1/7 = 0.142857...
...i think that works. which is truer? well, they are both true. take your pick. 1/7 is just easier.
keep an open mind here. the proof that 0.999... = 1 has been put in front of you several times already. if you can't understand it, it doesn't mean it's wrong.