A binary operator is a mathematical operator that performs some operation (eg addition, multiplication) on two operands to produce a result.
Commutativity is the property of some binary operations whereby, the order of the operands does not matter. For example, a + b = b + a
Associativity is the property of some binary operators whereby, if there is a sequence of such operations, the order in which the operations are carried out does not matter. However, the order of the operands may affect the result. For example, (a + b) + c = a + (b + c) and so we may write them simply as a + b + c.
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They are the associative property, distributive property and the commutative property.
zero property, inverse, commutative, associative, and distributative
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)
commutative, associative, distributive
Both union and intersection are commutative, as well as associative.