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Match the following.
Column-I | Column-II |
(i) For any two integers a and b, a × b is also an integer. Thus, integers are |
(A) Distributive under addition and multiplication |
(ii) a × b = b × a; this denotes that integers are |
(B) Positive quotient |
(iii) a × (b + c) = a × b + a × c; this denotes that integers are |
(C) Closed under multiplication |
(iv) The division of a negative integer by another negative integer results in |
(D) Commutative under multiplication |
A (i) → (B), (ii) → (C), (iii) → (D), (iv) → (A)
B (i) → (C), (ii) → (D), (iii) → (A), (iv) → (B)
C (i) → (D), (ii) → (C), (iii) → (A), (iv) → (B)
D (i) → (C), (ii) → (D), (iii) → (B), (iv) → (A)