# Insert a rational number and an irrational number between 0.0001 and 0.001

**Solution:**

Given, the numbers are 0.0001 and 0.001.

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 = 0.0001 and q = 0.001, we get,

R = (0.0001 + 0.001)/2

R = (0.0011)/2

R = 0.00055

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

Q = √pq,

where p and q are not perfect squares.

Q = √0.0001(0.001)

Q = 0.0003162278…

Therefore, the rational number is 0.00055 and the irrational number is 2.7225677218.

**✦ Try This: **Insert a rational number and an irrational number between 1/4 and 2/3

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

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

## Insert a rational number and an irrational number between 0.0001 and 0.001

**Summary:**

The rational number and irrational number between 0.0001 and 0.001 are 0.00055 and 0.0003162278… respectively

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