Difference between revisions of "Identity Element"
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| − | An identity element is that element of a set of [[ | + | An identity element is that element of a set of [[number]]s 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. | ||
Latest revision as of 14:14, July 13, 2016
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.