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Associative Operation

Any operation for which (ab)c = a⊕(bc) for all values of a, b, and c. Addition and multiplication are both associative. Subtraction and division are not. For example, (3 + 4) + 5 = 3 + (4 + 5) but (3 – 4) – 5 ≠ 3 – (4 – 5).

 

 

See also

Commutative

 


  this page updated 19-jul-17
Mathwords: Terms and Formulas from Algebra I to Calculus
written, illustrated, and webmastered by Bruce Simmons
Copyright © 2000 by Bruce Simmons
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NCTM Web Bytes December 2004 Web Bytes March 2005 Web Bytes