Difference between revisions of "Identity Element"
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| − | An identity element is that element of a set of numbers which, when combined with another number in a particular operation, leaves that number unchanged. | + | An identity element is that element of a set of [[numbers]] which, when combined with another number in a particular operation, leaves that number unchanged. |
| − | Zero (0) is the identity element under addition for the real numbers. If a is any real number, a + 0 = a and 0 + a = a. | + | Zero (0) is the identity element under addition for the [[real numbers]]. If a is any real number, a + 0 = a and 0 + a = a. |
| − | One (1) is the identity element under multiplication since a × 1 = a and 1 × a = a. | + | One (1) is the identity element under [[multiplication]] since a × 1 = a and 1 × a = a. |
[[Category:Algebra Terms]] | [[Category:Algebra Terms]] | ||
[[Category:Algebra]] | [[Category:Algebra]] | ||
[[Category:Mathematics]] | [[Category:Mathematics]] | ||
Revision as of 05:02, April 22, 2013
An identity element is that element of a set of numbers which, when combined with another number in a particular operation, leaves that number unchanged.
Zero (0) is the identity element under addition for the real numbers. If a is any real number, a + 0 = a and 0 + a = a.
One (1) is the identity element under multiplication since a × 1 = a and 1 × a = a.