# identity element

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Related to identity element: Inverse element

## identity element

*n.*

The element of a set of numbers that when combined with another number in a particular operation leaves that number unchanged. For example, 0 is the identity element under addition for the real numbers, since if

*a*is any real number,*a*+ 0 = 0 +*a*=*a.*Similarly, 1 is the identity element under multiplication for the real numbers, since*a*× 1 = 1 ×*a*=*a.*Also called*unity*.ThesaurusAntonymsRelated WordsSynonyms

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Noun | 1. | identity element - an operator that leaves unchanged the element on which it operates; "the identity under numerical multiplication is 1"operator - (mathematics) a symbol or function representing a mathematical operation |

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