Which statement is correct?(1 point)

Question

Responses

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

Division is commutative but not associative.
Division is commutative but not 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 detail:

• Commutative property: For a binary operation to be commutative, the order of the operands does not matter (e.g., \( a \div b \neq b \div a \)).
• Associative property: For a binary operation to be associative, the grouping of the operands does not matter (e.g., \( (a \div b) \div c \neq a \div (b \div c) \)).

Since division does not satisfy either of these properties, the correct answer is that division is neither commutative nor associative.