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Rational and real numbers are infinitely dense. And that means that the given number can only be closest to itself.

If you suggest any number that is is close to, then the number halfway between your number and 3.49 will be closer. And then the number halfway between that new number and 3.49 will be closer still. And then ... This process does not ever end.

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Q: What is 3.49 closes to?
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