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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