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

Rational Numbers

Question 1.
Represent these numbers on the number line.
(i)
 \frac { 7 }{ 4 }
(ii) \frac { -5 }{ 6 }

Solution:
(i) For \frac { 7 }{ 4 } , we make 7 markings of distance each on the right of zero and starting from 0. The seven marking is \frac { 7 }{ 4 } .
NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers 13
The point P represents the rational number —.
(ii) For \frac { -5 }{ 6 } , we make 5 markings of distance \frac { 1 }{ 6 }  each on the left of zero and starting from 0. The fifth marking \frac { -5 }{ 6 }  The point P represents the 6 rational number \frac { -5 }{ 6 } .
NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers 14

Question 2.
Represent \frac { -2 }{ 11 } ,\frac { -5 }{ 11 } ,\frac { -9 }{ 11 }  on the number line.

Solution:
To represent \frac { -2 }{ 11 } ,\frac { -5 }{ 11 } ,\frac { -9 }{ 11 }  on a number line, draw a number line and mark a point O on it to represent zero. Now, mark a point P representing integers -1 on the left side of O on the number line.
NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers 15
Divide the segment OP into eleven equal parts. Let A, B, C, D, E, F, G, H, I, J be the points of division so that OA=AB =BC = … = JP. By construction, OB is two-eleventh of OP so B represents \frac { -2 }{ 11 }  OE is five-eleventh of OP so E represents \frac { -5 }{ 11 }  and OI is nine-eleventh of OP so I represents \frac { -9 }{ 11 } .

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

Solution:
Five rational numbers less than 2 may be taken
1,\frac { 1 }{ 2 } ,0,-1,\frac { -1 }{ 2 }
(There can be many more such rational numbers.)

Question 4.
Find ten rational numbers between \frac { -2 }{ 5 }  and \frac { 1 }{ 2 } .

Solution:
Converting the given rational numbers with the same denominators
NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers 16

Question 5.
Find five rational numbers between
NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers 17
Solution:
(i) Converting the given rational numbers with the same denominators
NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers 18

(ii) Converting the given rational numbers with the same denominators
NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers 19
NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers 20

(iii) Converting the given rational numbers with the same denominators
NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers 21

Question 6.
Write five rational numbers greater than – 2.

Solution:
Five rational numbers greater than -2 may be taken as
-\frac { 3 }{ 2 } ,-1,\frac { -1 }{ 2 } ,0,\frac { 1 }{ 2 }
There can be many more such rational numbers.

Question 7.
Find ten rational numbers between \frac { 3 }{ 5 }  and \frac { 3 }{ 4 } .

Solution:
Converting the given rational numbers with the same denominators
NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers 22

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