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Question

Question
Which statement is correct?(1 point)
Responses

Division is commutative but not associative.
Division is commutative but not associative.

Division is neither commutative nor associative.
Division is neither commutative nor associative.

Division is associative but not commutative.
Division is associative but not commutative.

Division is both commutative and associative.

Answer 1

The correct statement is:

Division is neither commutative nor associative.

In mathematics, an operation is commutative if changing the order of the operands does not change the result. For example, \(a + b = b + a\), but for division, \(a \div b \neq b \div a\) in most cases.

An operation is associative if changing the grouping of the operands does not change the result. For example, \((a + b) + c = a + (b + c)\), but for division, \((a \div b) \div c \neq a \div (b \div c)\) in most cases.