Discussion
Which one of the following statements is not true for integers ?
Answer: B
The statement not true for integers is that division is commutative.
Commutativity would need a ÷ b = b ÷ a for all integers, but 6 ÷ 3 = 2 while 3 ÷ 6 = 1/2, which is not even an integer. Division of integers is neither commutative nor closed.
The other three are true. Multiplication of integers is associative: (a × b) × c = a × (b × c). 1 is the multiplicative identity, since a × 1 = a. And subtraction is indeed not commutative: 5 - 3 = 2 but 3 - 5 = -2.
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