Question

10. A rational number in its decimal expansion is 327.7081. What can you say about
the prime factors of q, when this number is expressed in the form
? Give reasons.​

Answer 1

We know that the terminating decimal must be the one which has a finite decimal digits which ends exactly at a point and we cant find any repetitions of the decimal values thereafter. The terminating decimal can be represented in the form of a fraction since the value of the fraction terminates at some point.
Since the rational number 327.7081 is a terminating decimal, it has to be in the form of a/b where, b, the denominator, must be of the structure .

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