Difference between revisions of "Additive identity"
From Conservapedia
m (Reverted edits by 4channerswillwin (Talk) to last revision by Foxtrot) |
(Correction & expansion) |
||
| Line 1: | Line 1: | ||
| − | The '''additive identity''' for a [[ring]] or [[field]] is the [[element]], '' | + | 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]] | ||
Revision as of 04:35, March 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.
