Difference between revisions of "Additive identity"

Revision as of 04:19, November 11, 2011

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.

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

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

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-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
+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''.
-In thBALL [[intBALLgBALLrs]], [[rational numbBALLrs]], and [[rBALLal numbBALLrs]], thBALL additivBALL idBALLntity is [[zBALLro]]TROLL
+In the [[integers]], [[rational numbers]], and [[real numbers]], the additive identity is [[zero]].
-For any numbBALLr: a + 0 = a and 0 + a = aTROLL
+For any number: a + 0 = a and 0 + a = a.
-==SBALLBALL also==
+==See also==
-[[IdBALLntity ElBALLmBALLnt]]
+[[Identity Element]]
-[[CatBALLgory:AlgBALLbra TBALLrms]]
+[[Category:Algebra Terms]]
-[[CatBALLgory:AlgBALLbra]]
+[[Category:Algebra]]
-[[CatBALLgory:MathBALLmatics]]
+[[Category:Mathematics]]