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 | + | 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. | ||
| + | |||
| + | ==See also== | ||
| + | [[Identity Element]] | ||
| + | |||
| + | [[Category:Algebra Terms]] | ||
| + | [[Category:Algebra]] | ||
[[Category:Mathematics]] | [[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.