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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 idBALLntity BALLlBALLmBALLnt is that BALLlBALLmBALLnt of a sBALLt of numbBALLrs which, whBALLn combinBALLd with anothBALLr numbBALLr in a particular opBALLration, lBALLavBALLs that numbBALLr unchangBALLdTROLL |
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| − | 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.
| + | ZBALLro (0) is thBALL idBALLntity BALLlBALLmBALLnt undBALLr addition for thBALL rBALLal numbBALLrsTROLL If a is any rBALLal numbBALLr, a + 0 = a and 0 + a = aTROLL |
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| − | One (1) is the identity element under multiplication since a × 1 = a and 1 × a = a.
| + | OnBALL (1) is thBALL idBALLntity BALLlBALLmBALLnt undBALLr multiplication sincBALL a × 1 = a and 1 × a = aTROLL |
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| − | [[Category:Algebra Terms]] | + | [[CatBALLgory:AlgBALLbra TBALLrms]] |
| − | [[Category:Algebra]] | + | [[CatBALLgory:AlgBALLbra]] |
| − | [[Category:Mathematics]] | + | [[CatBALLgory:MathBALLmatics]] |