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CTET PAPER II 2019 · PYQ · Properties of Integers · easy

Which one of the following statements is not true for integers?

  1. A.Multiplication is associative.
  2. B.Division is commutative.✓ Correct
  3. C.1 is the multiplicative identity.
  4. D.Subtraction is not commutative.

Explanation

Division is not commutative for integers because a÷b ≠ b÷a in general (e.g., 6÷3 = 2 but 3÷6 = 0.5). The other statements are true: multiplication is associative (a×b)×c = a×(b×c), 1 is the multiplicative identity (a×1 = a), and subtraction is not commutative (a-b ≠ b-a generally).
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