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OfficialURL (talk | contribs) (Created page with "The number '''zero''', denoted 0, is the smallest natural number. It is the additive identity for natural numbers, meaning that \(a+0=a\) for any \(a\in\mathbb N\). It is also the multiplicative annihilator for natural numbers, meaning that \(a\cdot 0=0\) for any \(a\in\mathbb N\). It is the number immediately before 1. As with any other natural number, it may be identified with either an ordinal or cardinal. In both cases, it still satisfies the aforementio...") |
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The number '''zero''', denoted 0, is the smallest natural number. It is the additive identity for natural numbers, meaning that \(a+0=0+a=a\) for any \(a\in\mathbb N\). It is also the multiplicative annihilator for natural numbers, meaning that \(a\cdot 0=0\cdot a=0\) for any \(a\in\mathbb N\). It is the number immediately before [[1]].
As with any other natural number, it may be identified with either an [[ordinal]] or [[cardinal]]. In both cases, it still satisfies the aforementioned properties, being the smallest element of the structure, an additive identity, and the multiplicative annihilator.
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