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The '''additive identity''' for a [[ring]] or [[field]] is the [[element]], ''o'', of the set that, when multiplied by any element ''a'' the set yields an answer of ''o''. In the [[integers]], [[rational numbers]], and [[real numbers]], the multiplicative identity is [[zero]].
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.
==See also==
[[Identity Element]]
[[Category:Algebra Terms]]
[[Category:Algebra]]
[[Category:Mathematics]]
[[Category:Mathematics]]