A binary operator, ~, defined over the elements of a set S, has the associative property if for any three elements x, y and z of S,
(x ~ y) ~ z = x ~ (y ~ z) and so we can write either of them as x ~ y ~ z without ambiguity.
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the associative property of addition means that changing the grouping of the addends doesn't affect the sum
Changing the grouping of the factors. The product stays the same.
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