addition and multiplication
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The commutative property of addition states that x + y = y + x for any two elements x and y.
In the case of addition: Commutative property: a + b = b + a Associative property: (a + b) + c = a + (b + c) Note that (1) the commutative property involves two numbers; the associative property involves three; and (2) the commutative property changes the order of the operands; the associative property doesn't. Repeatedly applying the two properties allow you to rearrange an addition that involves several numbers in any order.
The commutative property of addition.
Commutative means that the order can be changed without affecting the answer. For example, multiplication is commutative but division is not. 2 x 4 = 8 and 4 x 2 = 8 (commutative) 2 / 4 = 1/2 but 4 / 2 = 2 (not commutative) Associative means that the order that two operations is completed can be changed without affecting the answer. (2 x 4) x 3 = 2 x (4 x 3) - (associative)
if a,b are any two numbers then a+b=b+a