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What are dense rational numbers

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Informally, for every point in X, the point is either in A or arbitrarily "close" to a member of A — for instance, the rational numbers are a dense subset of the real numbers because every real number either is a rational number or has a rational number arbitrarily close to it (see Diophantine approximation).

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Answer:

The rational numbers are a dense subset of the real numbers because every real number either is a rational number or has a rational number arbitrarily close to it.

User Rihekopo
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