Question

$\huge \fbox \red{❥ Question}$
The following real numbers have decimal expansions as given below. In each case, decide whether they are rational or not. If they are rational, and of the form, p q what can you say about the prime factors of q?

(i) 43.123456789


(ii) 0.120120012000120000. . .






✳️gud luck brainlian .... :-P​

Answer 1

43.123456789 is a rational number of the form p/q, where 'p' and 'q' are co-primes and the prime factors of 'q' are of the form 2n. 5n, where n is nonnegative integer.

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Answer 2

43.123456789 is a rational number of the form p/q, where 'p' and 'q' are co-primes and the prime factors of 'q' are of the form 2n. 5n, where n is nonnegative integer.

Ur bio is fabulous.........