**NCERT Solutions for Class 8 Maths Chapter 1 Exercise 1.2 – Rational Numbers**

**NCERT Solutions for Class 8 Maths Chapter 1 Exercise 1.2 , has been designed by the NCERT to test the knowledge of the student on the following topics : **

- Representation of Rational Numbers on the Number Line
- Rational Numbers between Two Rational Numbers

**1.1 Introduction**

**Q.1 Represent these numbers on the number line.
(i) **

**(ii)**

**Solution:**

**(i)** **Representing on number line : – **

We take 7 markings at a distance each on the right of zero and starting from zero (The number of markings required to be taken are equal to the value of the numerator, , i.e, 7 in this case) . The seventh marking is

**(ii) Representing on number line:**

We make 5 markings at a distance each on the left of zero and starting from zero (The number of markings required to be taken are equal to the value of the numerator, i.e, 5 in this case ). The fifth marking is

**Q.2 Represent , , **** on the number line.**

**Solution:**

We make 11 markings at a distance each on the left of zero and starting from zero. The second marking is the fifth marking is and the ninth marking is

**Q.3 Write five rational numbers which are smaller than 2.**

**Solution:**

2 can be represented as

Five rational numbers smaller than 2 are , , , ,

**Q.4 Find ten rational numbers between **** and **

**Solution:**

can also be written as and can also be written as

So, any ten rational numbers lying between , are ten rational numbers between and

Therefore, ten rational numbers between and

, , , , , , , 0, ,

(There can be many more such rational numbers)

**Q.5 Find five rational numbers between
**

**(i) and**

**(ii) and**

**(iii) and**

**Solution:**

**(i)** can be written as and can be written as

Therefore, five rational numbers between and

, , , ,

(There can be many more such rational numbers)

**(ii)** can be written as and can be written as

Therefore, five rational numbers between and

, , 0, ,

(There can be many more such rational numbers)

**(iii)** can be written as and can be written as

Therefore, five rational numbers between and

, , , ,

(There can be many more such rational numbers)

**Q.6 Write five rational numbers greater than -2**

**Solution:**

-2 can also be written as

Therefore, five rational numbers greater than -2 are

, , , ,

(There can be many more such rational numbers)

**Q.7 Find ten rational numbers between **** and **

**Solution:
** can also be written as and can also be written as

Therefore, ten rational numbers between and

, , , , , , , , ,

(There can be many more such rational numbers)

**The next Exercise for** **NCERT Solutions for Class 8 Maths Chapter 2 Exercise 2.1 – Linear Equation in two Variables can be accessed by clicking here .**

**NCERT Solutions for Class 8 Maths Chapter 1 Exercise 1.2 – Rational Numbers**

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