Question

Find two rational numbers between 0.2101 and 0.2222 = 0.bar2

Answer 1

Given: Two numbers 0.2101 and 0.2222 = 0.(bar)2

To find: The correct question is to find two irrational numbers between given numbers.

Solution:

• So first, lets define the two numbers with variable.

• Let a = 0.2101, and b = 0.2222 = 0.(bar)2

• Here we can see that a and b are rational numbers since a has terminating decimals and b is having repeating decimal.

• Now we can see that in second decimal place, a has 1 and b has 2.

• So from this we can conclude that a < b.

• Hence two irrational numbers lying between a and b are 0.220100100010000 and 0.2200100100010000

Answer:

               Two irrational numbers lying between a and b are 0.220100100010000 and 0.2200100100010000