Find a rational number and also an irrational number lying between the numbers `0. 3030030003 dot` and `0. 3010010001 `

Explanation

Given Numbers are `0.3010010001... and 0.3030030003.` Clearly, These are irrational Numbers as they are non terminating and non recurring decimals.⇒ Here we have to find a rational and irrational number in between them.
`0.3011` is a rational number which lies after `0.301001` and `0.302` is in between these two irrationals.
Therefore, `0.3011` and `0.3020020002..` lie in between `0.3010010001...` and `0.3030030003`.