03-12-2009, 10:56 AM
zdunklee Wrote:Philly Mike Wrote:the biggest thing i don't get is how you could say .999... is a real number when it is an infinite decimal. there is no real to it. it can not be used with real life applications, it would need to be rounded up when used just like if you were to try to do something with the string .444... you would do something like x .444445 to be able to get the closest estimation. the same goes with the .999... because you cant really use it in the application that numbers are supposed to represent a value of something.
I mean hell, if you multiply .999... by 10 you get 9.999 you multiply it by 1 it equals .999...
there is no changing that. if you multiply 10 and 1 you get 10. showing .999... as anything else is just rounding to the nearest number.
Not true, and you don't round .444... to .4445 where they hell did you learn to round? .4444... = 4/9 and that is not an estimation it is the exact value of .4444..., simply put they are called RATIOnal, which strictly means a ratio of two integers, which is why they are represented by a fraction in the first place.
The real numbers is the name of the system, called such in a response to the imaginary numbers which were found and named first. It doesn't translate literally to mean real.
Which brings me back to the point that the fraction is just the division of the numbers not showing the actual answer because it is simpler it would be the same as saying instead of writing the number 2 i will just write 1+1, they mean the same thing but 1+1 is the incomplete way of doing it. the difference is that with fractions and infinite decimals the fraction is just showing a rounded version of the infinite because it is easier.
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I am the master of my fate, I am the captain of my soul.
[spoiler]Shit, you took away the black bar. Put it the fuck back now![/spoiler]