# Insert a rational number and an irrational number between 0.15 and 0.16

**Solution:**

Given, the numbers 0.15 and 0.16

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 = 0.15 and q = 0.16, we get,

R = (0.15 + 0.16)/2

R = (0.31)/2

R = 0.155.

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

Q = √pq

where p and q are not perfect squares.

Q = √0.15(0.16)

Q = 0.154919338….

Therefore, the rational number is 0.155 and the irrational number is 0.154919338….

**✦ Try This: **Insert a rational number and an irrational number between 2/7 and 5/3.

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

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

## Insert a rational number and an irrational number between 0.15 and 0.16

**Summary:**

The rational number and irrational number between 0.15 and 0.16 are 0.155 and 0.154919338… respectively

**☛ Related Questions:**

visual curriculum