Which statement is correct?(1 point)

Question

Responses

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.
Division is both commutative and associative.

Division is neither commutative nor associative

Answer 1

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.