Q. 143.8( 12 Votes )

(i) Which rationa

Answer :

(i) A Additive inverse of a number is the number such that,


0 is the rational number that is its own additive inverse


(ii) Let there be 2 rational numbers, and where, b≠0 and d≠0



LCM of b and d = bd



Where, bd ≠ 0


Therefore, is a rational number


Hence,


Yes, the difference of two rational numbers a rational number


(iii) Yes, addition is commutative on rational numbers


Let there be 2 rational numbers, and where, b≠0 and d≠0


Then,



(iv) Yes, addition is associative on rational numbers


Let there be 3 rational numbers, , and where, b≠0 , d≠0 and f≠0


Then,



(v) No, subtraction is not commutative on rational numbers


Let there be 2 rational numbers, and where, b≠0 and d≠0


Then,



(vi) No, addition is not associative on rational numbers


Let there be 3 rational numbers, , and where, b≠0 , d≠0 and f≠0


Then,



(vii) Negative of a negative rational number is the number itself without the negative sign.


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