These examples show that subtraction is not associative, and while they do not prove that addition is associative, they are illustrative that addition is associative at least for this example. The pro...These examples show that subtraction is not associative, and while they do not prove that addition is associative, they are illustrative that addition is associative at least for this example. The proof that addition is associative is not really of interest in this text, and can easily be found in an online search. The exercises at the end of the chapter allow the reader to further explore these properties.