# Insert a rational number and an irrational number between 0 and 0.1

**Solution:**

Given, the numbers 0 and 0.1

Rational numbers are numbers which are in the form of p/q, where q is not equal to 0, p and q are integers.

Irrational numbers are numbers which are in decimal form.

To find a rational number R, we use the formula,

R = (p + q)/2

Let p = 0 and q = 0.1, we get,

p + q = 0 + 0.1

= 0.1

R = 0.1/2

R = 0.05

To find an irrational number Q, we use the formula,

Q = √pq

where p and q are not perfect squares.

Q = √(0)0.1

Q = 0

As 0 is a rational number let us consider 0.007000700007… as the irrational number.

Therefore, the rational number is 0.05 and the irrational number is 0.007000700007…

**✦ Try This: **Insert a rational number and an irrational number between 0.1 and 0.2.

**☛ Also Check: **NCERT Solutions for Class 9 Maths Chapter 1

**NCERT Exemplar Class 9 Maths Exercise 1.3 Problem 3(ii)**

## Insert a rational number and an irrational number between 0 and 0.1

**Summary:**

The rational number and irrational number between 0 and 0.1 are 0.05 and 00.007000700007… respectively

**☛ Related Questions:**

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