Examplesof the Associative Property for Addition
The picture below illustrates that it does not matter whether or not we add the 2 + 7 first (like the left side) or the 7 + 5 first, like the right side.
(a + b) + c = a + (b + c) – Yes, algebraic expressions are also associative for addition
Examplesof the Associative Property for Multiplication
(a • b) •c = (a • b) •c – Yes, algebraic expressions are also associative for multiplication
Non Examples of the Associative Property
Division (Not associative)
Division is probably an example that you know, intuitively, is not associative. The examples below should help you see how division is not associative.
Subtraction is also not associative..