Difference between revisions of "Commutative property"
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In mathematics, a binary operation <math>*</math> on a set '''A''' is said to be commutative if for all <math>x,y</math> in '''A''' we have <math>x*y=y*x</math>. An Example of a commutative operation is addition in the [[real numbers]]. When a [[group (mathematics)|group]]'s operation is commutative, it is said to be [[abelian]]. | In mathematics, a binary operation <math>*</math> on a set '''A''' is said to be commutative if for all <math>x,y</math> in '''A''' we have <math>x*y=y*x</math>. An Example of a commutative operation is addition in the [[real numbers]]. When a [[group (mathematics)|group]]'s operation is commutative, it is said to be [[abelian]]. | ||
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| + | In laman's terms, an equation is commuataive when the constants or variables can be moved around an operation without changing the answer (e.g. 1 + 2 = 2 + 1 or 2 * 3 = 3 * 2) | ||
[[Category:Mathematics]] | [[Category:Mathematics]] | ||
Revision as of 15:43, April 24, 2007
In mathematics, a binary operation Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle *} on a set A is said to be commutative if for all Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle x,y} in A we have Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle x*y=y*x} . An Example of a commutative operation is addition in the real numbers. When a group's operation is commutative, it is said to be abelian.
In laman's terms, an equation is commuataive when the constants or variables can be moved around an operation without changing the answer (e.g. 1 + 2 = 2 + 1 or 2 * 3 = 3 * 2)