The correct statement is:
Division is neither commutative nor associative.
-
Commutative Property: In arithmetic, a binary operation is commutative if changing the order of the operands does not change the result. For division, \( a \div b \) is not equal to \( b \div a \) (e.g., \( 6 \div 3 \) is 2, but \( 3 \div 6 \) is 0.5).
-
Associative Property: A binary operation is associative if the grouping of the operands does not change the result. Division does not follow this property either; for example, \( (a \div b) \div c \) is not equal to \( a \div (b \div c) \).
Thus, division is neither commutative nor associative.