Answer :

Let a = 0.3010010001….

And, b = 0.3030030003…..

We observe that the second decimal place a has digit 1 and b has digit 3, therefore, a < b. In the third decimal place a has digit 1. So, if we consider rational and irrational numbers

x = 0.302

y = 0.302002000200002…

We find that,

a < x < b

And, a < y < b

Hence, x and y are required rational and irrational numbers respectively.

Rate this question :

If x is rational RS Aggarwal & V Aggarwal - Mathematics

If <img widRD Sharma - Mathematics

If <img widRD Sharma - Mathematics

The value of <spaRD Sharma - Mathematics

If *x* =<spaRD Sharma - Mathematics

If <img widRD Sharma - Mathematics

If *x* = 3+<RD Sharma - Mathematics

The decimal repreRS Aggarwal & V Aggarwal - Mathematics

An irrational numRS Aggarwal & V Aggarwal - Mathematics