Question

State whether the real numbers 52.0521 is rational or not. If it is rational express it in the form p/q, where p,q are co-prime, integers and q≠0. what can you say about prime factorisation of q?

Answer 1

given number is 52.0521, it is a rational number we can represent it in p/q form

52.0521= 520521/10000
prime factor q = 10000 or 2⁴ x 5⁴
as we know when denominator have the prime factor of form 2ᵃ x 5ᵇ, gives the terminating decimal digits
 

Answer 2

Answer:

Step-by-step explanation:First observe.

Since it was terminating decimal

so it's Rational number and it can be expressed in 2m*5n form.

52.0521/10000

We put 10000 here because there is 4 decimal point after 52.

__.Hence proved.__