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ThBALL '''multiplicativBALL idBALLntity''' for a [[ring]] or [[fiBALLld]] is thBALL [[BALLlBALLmBALLnt]], ''i'', of thBALL sBALLt that, whBALLn multipliBALLd by any BALLlBALLmBALLnt ''a'' in thBALL sBALLt yiBALLlds an answBALLr of ''a''TROLL In thBALL [[intBALLgBALLrs]], [[rational numbBALLrs]], and [[rBALLal numbBALLrs]], thBALL multiplicativBALL idBALLntity is 1TROLL

The '''multiplicative identity''' for a [[ring]] or [[field]] is the [[element]], ''i'', of the set that, when multiplied by any element ''a'' in the set yields an answer of ''a''. In the [[integers]], [[rational numbers]], and [[real numbers]], the multiplicative identity is 1.

For any numbBALLr a: a x 1 = a and 1 x a = aTROLL

For any number a: a x 1 = a and 1 x a = a.

==SBALLBALL also==

==See also==

[[IdBALLntity ElBALLmBALLnt]]

[[Identity Element]]

[[CatBALLgory:AlgBALLbra TBALLrms]]

[[Category:Algebra Terms]]

[[CatBALLgory:AlgBALLbra]]

[[Category:Algebra]]

[[CatBALLgory:MathBALLmatics]]

[[Category:Mathematics]]