Which statement is correct?(1 point)

Question

Responses

Division is both commutative and associative.
Division is both commutative and 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 neither commutative nor associative.

Answer 1

The correct statement is:

Division is neither commutative nor associative.

In mathematical terms:

• Commutative property means that the order of the operands does not change the result (for example, \( a + b = b + a \) or \( a \times b = b \times a \)). Division does not satisfy this property, as \( a \div b \) is generally not equal to \( b \div a \).

• Associative property means that the way in which the operands are grouped does not change the result (for example, \( (a + b) + c = a + (b + c) \)). Division also does not satisfy this property, as \( (a \div b) \div c \) is generally not equal to \( a \div (b \div c) \).

Therefore, division is neither commutative nor associative.