Question

18. Real number 43.123456789 is expressed in decimal form. Find whether it is rational or not. If rational, express
them in the form p/q. Comment on factor of q.​

Answer 1

Answer:

It is rational as it was a terminating and non recurring decimal

43123456789/1000000000

is its p/q form

Answer 2

43.123456789

=> $\huge\frac{43123456789}{1000000000}$

=> $\huge\frac{43123456789}{10^9}$

=> $\huge\frac{43123456789}{2^9. 5^9}$

Since, it can be expressed in the form p/q, it is rational

The factor q can be expressed in the form 2^n.5^m , so it has terminating decimal expansion