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. | + | 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. |
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| + | For any number a: a x 1 = a and 1 x a = a. | ||
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| + | ==See also== | ||
| + | [[Identity Element]] | ||
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| + | [[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.