Difference between revisions of "Additive identity"
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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''. | 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''. | ||
Latest revision as of 06:16, November 16, 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.