Which statement is correct?(1 point)

Responses

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

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 commutative but not associative

1 answer

The correct statement is:

Division is neither commutative nor associative.

This means that for numbers \( a \) and \( b \):

  • Commutative property: \( a \div b \) is not equal to \( b \div a \) (e.g., \( 6 \div 3 \neq 3 \div 6 \)).
  • Associative property: \( (a \div b) \div c \) is not equal to \( a \div (b \div c) \) (e.g., \( (6 \div 3) \div 2 \neq 6 \div (3 \div 2) \)).