What is the difference between the commutative and associative properties?

Answer 1

associative_is_grouping_same_order_and_commutative_is_the_order_switched_">associative is grouping same order and commutative is the order switched

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Sadly, all that is rubbish.

Commutativity: The order of operands can be changed without affecting the result.

Associativity: The order of operations can be changed without affecting the result.

Thus, the commutative property states that

x + y = y + x.

The associative property states that

(a + b) + c = a + (b + c) and so you can write either as a + b + c without ambiguity.

Although these may seem pretty basic or obvious, they are not true for operations as basic as subtraction or division of ordinary numbers.

while the associative property