Question

a rational number in its decimal expension is 327.7081 which can you say about the prime factors of q, when this number is expressed in the form p and q ? give reason

Answer 1

we know that p/q has only factor as 1 and q can never be equal to 0 .
therefore, it can be the factor of q

Answer 2

Heya

The rational number is 327.7081. it is a terminating decimal.

When expressed in p/q form, the prime factors of q are found to be 2 or 5 or both 2 and 5

If a rational number' decimal expansion is terminating, then the denominator will have its prime factors as 2 or 5 or both 2 and 5.

Hope it helps!