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anonymous
 5 years ago
what does irrational mean when it comes to numbers
anonymous
 5 years ago
what does irrational mean when it comes to numbers

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0how many irrational number is ther between 1 and 6

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0In mathematics, an irrational number is any real number which cannot be expressed as a fraction a/b, where a and b are integers, with b nonzero, and is therefore not a rational number. Informally, this means that an irrational number cannot be represented as a simple fraction.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0between 1 and 6, there is infinity of irrational numbers

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i would apreciate a new fan =D

nowhereman
 5 years ago
Best ResponseYou've already chosen the best response.0To be more precise, in the standard model, there are exactly as many irrational numbers in any nonempty interval as there are real numbers all together. If you assume the continuum hypothesis, that is \[ℵ_1\]

nowhereman
 5 years ago
Best ResponseYou've already chosen the best response.0The reason for this is, that there are only countably many rational numbers and if you remove a countable set from a noncountable set, the result remains noncountable.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0wow, I can see we have a philosopher aboard

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Yes...the infinity of irrational numbers in a set bound by rational numbers is "greater" than the set of all rational numbers.

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0The way I 'splain this to my kids is that there are alot of numbers on the number line; some are rational and can be actually found, they stay put we you look at them up close. But then, there are these "irrational" numbers that are there, but no matter how close you look at them, they move a little. We usually pinpoint this "irrational" little tykes by confining them to radicals, or constants like "pi" and "e". But in the end, you never quite know where they've been or where they are going :)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0Also, I think rational means : ratioed... can be put in a ratio form.. 4/7 is a ratioed number. Irrational numbers cannot be ratioed, ie, put in a ratio form...

nowhereman
 5 years ago
Best ResponseYou've already chosen the best response.0Well, I wouldn't consider myself a philosopher. That was only a little set theory. @amitstre64: your explanation might be ok for children, but relies implicitly on an understanding of real numbers through approximation by a decimal fraction, while at the same time summoning a geometrical notion. Though in the geometrical sense an irrational number is just as fixed as any other real number. You can easily see that by constructing \[\sqrt 2\] as the diagonal of a square with side length 1. Of course from a practical standpoint you can always only observe any quantity up to a certain precision, but that's the case for anything and not only if its true value is irrational.
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