Question

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 of p/q. give reasons.

Answer 1

327.7081 =3277081/10000
=3277081/2^4*5^4
q =2^4*5^4
q is in the form of 2^n*5^m

Answer 2

Answer:

the prime factor of q is 2 and 5

Step-by-step explanation:

327.7081 =  $\frac{3277081}{10000}$ = $\frac{p}{q}$

= $\frac{3277081}{(10)^{4} }$

=$\frac{3277081}{(5*2)^{4} }$

=$\frac{3277081}{5^{4} * 2^{4} }$

The denominator is in the form of $2^{m}* 5^{n}$

∴The prime factor of q is 2 and 5