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Since irrational numbers are all those real numbers that aren't rational, the irrationals vastly outweigh the rationals; they make up all the remaining, uncountable real numbers.
Rational numbers can be fractions of integers. Irrational numbers cannot be expressed as ratios. Decimal representations help identify them. Pi and Euler's number are irrational.
The ancient Greeks wondered when irrational numbers, like pi, can be represented with fractions. Two mathematicians now have a complete answer.
Real numbers are, in fact, pretty much any number that you can think of. This can include whole numbers or integers, fractions, rational numbers and irrational numbers.
It has been assumed, on historical and psychological grounds, that the concept of irrational numbers faces two major intuitive obstacles: a) the difficulty to accept that two magnitudes (two line ...
IN the first of these tracts Prof. Dedekind gives a theory of irrational numbers and of the arithmetical continuum which is logically perfect, and in form, perhaps, more simple and direct than any ...
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