Which statement is correct?(1 point)

Responses

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.
Division is both commutative and associative.

Division is commutative but not associative.

1 answer

The correct statement is:

Division is neither commutative nor associative.

This is because:

  • Commutative Property: In division, changing the order matters. For example, \( 6 \div 2 \) is not equal to \( 2 \div 6 \).
  • Associative Property: Division does not satisfy the associative property because \( (8 \div 4) \div 2 \) is not equal to \( 8 \div (4 \div 2) \).

Therefore, division is neither commutative nor associative.

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