Question

2 rational and 2 irrational numbers between 2.01 and 2.001
plz answer fast.....​

Answer 1

Given: Two numbers 2.01 and 2.001

To find: 2 rational and 2 irrational numbers between 2.01 and 2.001

Solution:

• Now we have provided with two numbers 2.01 and 2.001.

• So lets multiply both the numbers with 1000/1000, we get:

            = 2.01 x 1000/1000

            = 2010/1000

            = 2.001 x 1000/1000

            = 2001/1000.

• Now two rational numbers between 2001/1000 and 2010/1000 are:  

            2007/1000 and 2008/1000

• For the two irrational numbers we have to choose any two numbers between the given two numbers.

• But the numbers choosed should never end and also it should never have a pattern.

• So the two irrational numbers are:

           2.0047346454386...... and 2.00945745776827......

Answer:

         So 2 rational numbers are 2007/1000 and 2008/1000 and 2 irrational numbers are  2.0047346454386...... and 2.00945745776827......