
associative


Denoting an operation in which the outcome is independent of the grouping of the symbols and numbers involved, that is, (a <o> b) <o> c = a <o> (b <o> c), in which <o> is the operation. Such examples include addition and multiplication.
(1 + 2) + 3 = 1 + (2 + 3) (4 × 5) × 6 = 4 × (5 × 6) The following examples demonstrate that subtraction and division are not associative: (3  2)  1 3  (2  1) (12 / 4) / 3 12 / (4 / 3)

