Which statement is correct?(1 point)

Question

Responses

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

Division is both commutative and associative.
Division is both commutative and associative.

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

Division is neither commutative nor associative.

Answer 1

The correct statement is:

Division is neither commutative nor associative.

This is because for two numbers $a$ and $b$:

• Commutative property states that the order of the numbers does not affect the result, which is not true for division (e.g., $a÷b\ne b÷a$ unless $a=b$).
• Associative property states that the grouping of the numbers does not affect the result, which is also not true for division (e.g., $(a÷b)÷c\ne a÷(b÷c)$).