Question

2. State true or false for each of the following statements. Justify your answers.
(i) a × b is an integer, for all integers a and b.
(ii) For any two integers a and b, a × b # b × a
(iii) For any three integers a, b and c, (a × b) × c = a ×(b × c)
(iv) For any three integers a, b and c, a × (b + c) = a × b + a × c
(v) For any integer a, a × 1 = a; 1 is the multiplicative identity for integers.
(vi) For any integer a, a ×0 = 0 × a = 0​

Answer 1

Answer:

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Answer 2

Answer:

(I) T, (ii) F, (iii) T, (iv) T, (v) T, (vi) T