# Rational number :- 0.10011

# Irrational number :- 0.1001100011000011...


I hope that it would help you...

To find a rational and irrational number between 0.101001000100001 and 0.1001000100001, we need to understand the properties of rational and irrational numbers.


Rational numbers are numbers that can be expressed as a ratio of two integers. They can be expressed in the form of p/q, where p and q are integers and q is not equal to zero.


Irrational numbers are numbers that cannot be expressed as a ratio of two integers. They cannot be expressed in the form of p/q, where p and q are integers and q is not equal to zero.


To find a rational number between 0.101001000100001 and 0.1001000100001, we need to look for a number that can be expressed as a ratio of two integers. One way to do this is to convert the given numbers into fractions.

0.101001000100001 can be written as 101001000100001/10^15
0.1001000100001 can be written as 1001000100001/10^13

We can now look for a rational number between these two fractions. One such number is:

101001000100001/10^14

This can be simplified to 5050050005000/5^14, which is a rational number.


To find an irrational number between 0.101001000100001 and 0.1001000100001, we need to look for a number that cannot be expressed as a ratio of two integers. One way to do this is to look for a decimal that does not repeat or terminate.

One such number is:

0.101001000100000100000001...

This number goes on forever without repeating or terminating and therefore cannot be expressed as a ratio of two integers. It is an irrational number.


In conclusion, we have found a rational number and an irrational number between 0.101001000100001 and 0.1001000100001. The rational number is 5050050005000/5^14 and the irrational number is 0.101001000100000100000001...