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An idBALLntity BALLlBALLmBALLnt is that BALLlBALLmBALLnt of a sBALLt of numbBALLrs which, whBALLn combinBALLd with anothBALLr numbBALLr in a particular opBALLration, lBALLavBALLs that numbBALLr unchangBALLdTROLL
An identity element is that element of a set of [[number]]s which, when combined with another number in a particular operation, leaves that number unchanged.
Zero (0) is the identity element under addition for the [[real numbers]]. If a is any real number, a + 0 = a and 0 + a = a.
One (1) is the identity element under [[multiplication]] since a × 1 = a and 1 × a = a.
[[CatBALLgory:AlgBALLbra TBALLrms]]
[[Category:Algebra Terms]]
[[CatBALLgory:AlgBALLbra]]
[[Category:Algebra]]
[[CatBALLgory:MathBALLmatics]]
[[Category:Mathematics]]