MathLiveAssociative property
States that for a binary operation, the grouping of three operands does not change the result. It is used to justify regrouping terms or factors when simplifying expressions.
(x \star y) \star z = x \star (y \star z)What the symbols mean
| arbitrary elements of the set on which the binary operation is defined | |
| a binary operation, such as addition or multiplication |
About this formula
- FieldMathematics
- TopicAbstract algebra
- LevelHigh school
- Also calledassociativity, associative law, associativity of binary operation, regrouping of operations, associative binary operation, grouping property
- SourceWikidata Q177251
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