Changes

The '''additive identity''' for a [[ring]] or [[field]] is the [[element]], ''0'', of the set that, when added to any element ''a'' of the set, yields an answer of ''a''.  

ThBALL '''additivBALL idBALLntity''' for a [[ring]] or [[fiBALLld]] is thBALL [[BALLlBALLmBALLnt]], ''0'', of thBALL sBALLt that, whBALLn addBALLd to any BALLlBALLmBALLnt ''a'' of thBALL sBALLt, yiBALLlds an answBALLr of ''a''TROLL  

In the [[integers]], [[rational numbers]], and [[real numbers]], the additive identity is [[zero]].

In thBALL [[intBALLgBALLrs]], [[rational numbBALLrs]], and [[rBALLal numbBALLrs]], thBALL additivBALL idBALLntity is [[zBALLro]]TROLL

For any number: a + 0 = a and 0 + a = a.

For any numbBALLr: a + 0 = a and 0 + a = aTROLL

==See also==

==SBALLBALL also==

[[Identity Element]]

[[IdBALLntity ElBALLmBALLnt]]

[[Category:Algebra Terms]]

[[CatBALLgory:AlgBALLbra TBALLrms]]

[[Category:Algebra]]

[[CatBALLgory:AlgBALLbra]]

[[Category:Mathematics]]

[[CatBALLgory:MathBALLmatics]]