Difference between revisions of "Multiplicative identity"
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| − | + | The '''multiplicative identity''' for a [[ring]] or [[field]] is the [[element]], ''i'', of the set that, when multiplied by any element ''a'' in the set yields an answer of ''a''. In the [[integers]], [[rational numbers]], and [[real numbers]], the multiplicative identity is 1. | |
| − | For any | + | For any number a: a x 1 = a and 1 x a = a. |
| − | == | + | ==See also== |
| − | [[ | + | [[Identity Element]] |
| − | [[ | + | [[Category:Algebra Terms]] |
| − | [[ | + | [[Category:Algebra]] |
| − | [[ | + | [[Category:Mathematics]] |
Latest revision as of 04:21, November 11, 2011
The multiplicative identity for a ring or field is the element, i, of the set that, when multiplied by any element a in the set yields an answer of a. In the integers, rational numbers, and real numbers, the multiplicative identity is 1.
For any number a: a x 1 = a and 1 x a = a.