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