# Insert a rational number and an irrational number between -2/5 and 1/2

**Solution:**

Given, the numbers -2/5 and 1/2

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 = -2/5 and q = 1/2, we get,

p + q = -2/5 + 1/2

= (-4 + 5)/10

= 1/10

R = (1/10)/2

R = 1/20.

R = 0.05

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

Q = √pq

where p and q are not perfect squares.

Q = √(-2/5) × (1/2)

Q = √(-0.4) × (0.5)

Q = 0.4472135955…

Therefore, the rational number is 0.05 and the irrational number is 0.4472135955…

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

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

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

## Insert a rational number and an irrational number between -2/5 and 1/2

**Summary:**

The rational number and irrational number between -2/5 and 1/2 are 0.05 and 0.4472135955…respectively

**☛ Related Questions:**

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