03-12-2009, 10:47 AM
Philly Mike Wrote:zdunklee Wrote:They believe 0.999... = 1 only because that is how the real numbers have been defined, thus if you are talking about the real number system the two values are always equal. However there are number systems out there in which 0.999... =! 1, such as the p-adic numbers, but that would be a different topic altogether.
This is much the same idea that there is Euclidean Geometry(which is the geometry that everyone recognizes) and Spherical Geometry in which nothing is ever parallel and there are no lines.
If you really want to get into some crazy math discussion, how about we talk about the fact that all math done from the 19th century on was based upon the work of someone who never existed? ???
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.
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