What is the term for all numbers except the natural numbers?

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Is there a term used to describe all number except the natural numbers?
 
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Do you mean all real numbers except for the naturals? I suppose you'd denote it by ##\mathbb{R} \setminus \mathbb{N}##.

There's really no notion of "all numbers" in mathematics, since "number" is mostly a colloquialism used to describe all kinds of unrelated things.