Difference between revisions of "Identity Element"

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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.
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[[Category:Algebra Terms]]
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[[Category:Algebra]]
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Revision as of 04:26, March 16, 2011

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.