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They are dense in that between any two decimals you have another one. A much better way to think of it is that a decimal must be either rational or irrational. For example, .34 is certainly rational, but the decimal expansion of square root of 2 goes on forever and is irrational. So a decimal, being either one, must be dense in the reals.

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16y ago

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Q: How dense is the decimal?
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