Answer :

(i) 43.123456789

43.123456789 is terminating.

So, it would be a rational number

Hence, 43.123456789 is now in the form of .

And the prime factors of q are in terms of 2 and 5.

(ii) 0.120120012000120000….

0.120120012000120000…. is non-terminating and non-repeating.

So, it is not a rational number.

(iii) 43.

43. is non- terminating but terminating.

So, it would be a rational number.

In a non-terminating, repeating expansion of

q will have factors other than 2 or 5.

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