Q3 (1)   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? 43.123456789

Answers (1)

\\43.123456789=\frac{43123456789}{10^{9}}\\ 43.123456789=\frac{43123456789}{2^{9}\times 5^{9}}

The denominator is of the form 2a x 5b where a = 9 and b = 9. Therefore the given number is rational and has a terminating decimal expansion.

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