# NCERT Solutions | Class 7 Maths Chapter 9 | Rational Numbers ## CBSE Solutions | Maths Class 7

Check the below NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers Pdf free download. NCERT Solutions Class 7 Maths  were prepared based on the latest exam pattern. We have Provided Rational Numbers Class 7 Maths NCERT Solutions to help students understand the concept very well.

### NCERT | Class 7 Maths

Book: National Council of Educational Research and Training (NCERT) Central Board of Secondary Education (CBSE) 7th Maths 9 Rational Numbers English

#### Rational Numbers | Class 7 Maths | NCERT Books Solutions

You can refer to MCQ Questions for Class 7 Maths Chapter 9 Rational Numbers to revise the concepts in the syllabus effectively and improve your chances of securing high marks in your board exams.

## NCERT Solutions for Class 7 Maths Chapte 9 Rational Numbers Exercise 9.1

### Ex 9.1 Class 7 Maths Question 1.

List five rational numbers between
(i) -1 and 0
(ii) -2 and -1
(iii) $$\frac { -4 }{ 5 }$$ and $$\frac { -2 }{ 3 }$$
(iv) –$$\frac { 1 }{ 2 }$$ and $$\frac { 2 }{ 3 }$$

#### Solution:  ### Ex 9.1 Class 7 Maths Question 2.

Write four more rational numbers in each of the following patterns : #### Solution:  ### Ex 9.1 Class 7 Maths Question 3.

Give four rational numbers equivalent to
(i) $$\frac { -2 }{ 7 }$$
(ii) $$\frac { 5 }{ -3 }$$
(iii) $$\frac { 4 }{ 9 }$$

#### Solution: ### Ex 9.1 Class 7 Maths Question 4.

Draw the number line and represent the following rational numbers on it :
(i) $$\frac { 3 }{ 4 }$$
(ii) $$\frac { -5 }{ 8 }$$
(iii) $$\frac { -7 }{ 4 }$$
(iv) $$\frac { 7 }{ 8 }$$

#### Solution:

(i) In order to represent $$\frac { 3 }{ 4 }$$ on the number line, we first draw a number line and mark a point O on it to represent zero. Now, mark the point P representing 3 on the number line as shown. Now, divide the segment OP into four equal parts. Let A, B, C be the points of division so that OA = AB =BC = CP. By construction, OA is three- fourth of OP. So, A represents the rational number $$\frac { 3 }{ 4 }$$ (ii) In order to represent $$\frac { -5 }{ 8 }$$ on the number line, we first draw a number line and mark a point O on it to represent zero. Now, mark the point P representing -5 on it as shown. Now, divide the segment OP into eight equal parts. Let A, B, C, D, E, F, G be the points of division such that OA = AB = BC = CD = DE = EF = FG = GP. By construction, OA is one-eighth of OP. So, A represents the rational number $$\frac { -5 }{ 8 }$$. (iii) In order to represent $$\frac { -7 }{ 4 }$$ on the number line, we first draw a number line and mark a point O on it to represent zero. Now, mark a point P to represent -7 on the number line. Now,divide the segment OP into 4 equal parts. Let A, B, C be the points of division so that OA = AB = BC = CP. By construction, OA is one-fourth of OP. Therefore, A represents the rational number $$\frac { -7 }{ 4 }$$. (iv) In order to represent $$\frac { 7 }{ 8 }$$ on the number line, we first draw a number line and mark a point O on it to represent zero. Now, mark the point P to represent 7 on the number line. Now, divide the segment OP into 8 equal parts. Let A, B, C, D, E, F, G be the points of division such that OA = AB = BC = CD = DE = EF = FG = GP. By construction, OA is one-eighth of OP. Therefore, A represents the rational number $$\frac { 7 }{ 8 }$$. ### Ex 9.1 Class 7 Maths Question 5.

The points P, Q, R, S, T, U, A, and B on the number line are such that, TR = RS = SU and AP = PQ = QB. Name the rational numbers represented by P, Q, R, and S. Solution: ### Ex 9.1 Class 7 Maths Question 6.

Which of the following pairs represents the same rational number? #### Solution:   ### Ex 9.1 Class 7 Maths Question 7.

Rewrite the following rational numbers in the simplest form :
(i) $$\frac { -8 }{ 6 }$$
(ii) $$\frac { 25 }{ 45 }$$
(iii) $$\frac { -44 }{ 72 }$$
(iv) $$\frac { -8 }{ 10 }$$

#### Solution:  ### Ex 9.1 Class 7 Maths Question 8.

Fill in the boxes with the correct symbol out of >, <, and =. #### Solution:

(i) Clearly, $$\frac { -5 }{ 7 }$$ is a negative rational number and $$\frac { 2 }{ 3 }$$ is a positive rational number. We know that every negative rational number is less than every positive rational number. Therefore, (ii) Clearly, denominators of the given rational numbers are positive. The denominators are 5 and 7. Their L.C.M. is 35. So, we first express each rational number with 35 as a common denominator. (iii) First- we write each one of the given rational numbers with a positive denominator.
Clearly, denominator of $$\frac { -7 }{ 8 }$$ is positive.
The denominator of $$\frac { 14 }{ -16 }$$ is negative.
So, we express it with a positive denominator as follows: (iv) Clearly, the denominators of the given rational numbers are positive. The denominators are 5 and 4.
Their L.C.M. is 20. So, we first express each rational number with 20 as a common denominator. (v) First we write each one of the given rational numbers with a positive denominator.
Clearly, denominator of $$\frac { 1 }{ -3 }$$ is negative.
So, expressing it with a positive denominator as follows: (vi) First we write each one of the given rational numbers with a positive denominator. (vii) Since every negative rational number is less than 0, ### Ex 9.1 Class 7 Maths Question 9.

Which is greater in each of the following :
(i) $$\frac { 2 }{ 3 }$$,$$\frac { 5 }{ 2 }$$
(ii) $$\frac { -5 }{ 6 }$$,$$\frac { -4 }{ 3 }$$
(iii) $$\frac { -3 }{ 4 }$$,$$\frac { 2 }{ -3 }$$
(iv) $$\frac { -1 }{ 4 }$$,$$\frac { 1 }{ 4 }$$
(v) -3$$\frac { 2 }{ 7 }$$,-3$$\frac { 4 }{ 5 }$$

#### Solution:  ### Ex 9.1 Class 7 Maths Question 10.

Write the following rational numbers in ascending order : #### Solution:  ## NCERT Solutions for Class 7 Maths Chapte 9 Rational Numbers Exercise 9.2

### Ex 9.2 Class 7 Maths Question 1.

Find the sum : #### Solution:  ### Ex 9.2 Class 7 Maths Question 2.

Find : #### Solution: ### Ex 9.2 Class 7 Maths Question 3.

Find the product : #### Solution:  ### Ex 9.2 Class 7 Maths Question 4.

Find the value of : #### Solution: 