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In mathematics the additive identity of a set which is equipped with the operation of addition is an element which, when added to any element ''x'' in the set, yields ''x''. One of the most familiar additive identities is the number 0 from elementary mathematics, but additive identities occur in other mathematical structures where addition is defined, such as in groups and rings. ==Elementary examples== * The additive identity familiar from elementary mathematics is zero, denoted 0. For example, *: 5 + 0 = 5 = 0 + 5 * In the natural numbers N and all of its supersets (the integers Z, the rational numbers Q, the real numbers R, or the complex numbers C), the additive identity is 0. Thus for any one of these numbers ''n'', *: ''n'' + 0 = ''n'' = 0 + ''n'' 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「additive identity」の詳細全文を読む スポンサード リンク
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