Class 8 Maths Chapter 1 (Rational numbers) Exercise 1.1

• NCERT-class-8-maths-chapter-1-exercise-1. 1 solutions

Class 8 maths chapter 1 exercise 1.2 solutions

NCERT maths class 8 chapter 1  (Exercise 1.2) 

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

Sol.  (i) To represent  the number line may be divided into four equal parts as shown  fig 1.  We use the number

to name the first point of this division. The second point of division will be labelled , the third point , and so on . The point A will represent .

(ii)  To represent  the number line may be divided into six equal parts as shown  fig 2.  We use the number

to name the first point of this division. The second point of division will be labelled , the third point , and so on . The point B will represent  .

2. Represent  on the number line.

Sol.  Point A is 

,  point B is and point C is .

 

 

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

Sol. Five rational numbers smaller than 2 are 

4. Find ten rational numbers between  .

Sol.  We first convert

to rational numbers with the same denominators.

and

Thus we have  between

.

You can take any ten of these. In fact , you get countless rational numbers between any two given rational numbers.

5. Find five rational numbers between (i)      (ii)

           (iii)

 

Sol. (i)

can be written as   and   as .

 

Thus we have

  between    and .

You can take any five of these.

(ii) can be written as

  and   as

 .

Thus we have   between

   and  .

You can take any five of these.

(iii)

can be written as   and

  as  .

Thus we have

are five rational numbers   between    and

 .

 

6. Write five rational numbers greater than –2. 

Sol. The five rational numbers greater than -2  are   .

7. Find ten rational numbers between 

.

Sol. We first convert  to rational numbers with the same denominators.

and

Thus we have

  between .

You can take any ten of these. In fact , you get countless rational numbers between any two given rational numbers.