Class 8 Maths Chapter 1 (Rational numbers) Exercise 1.1
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.
