NCERT Solutions for Class 7 Maths Chapter 9 – Rational Numbers. Furthermore, here we’ve provided you with the latest solution for Class 7 Maths Chapter 9 – Rational Numbers. As a result here you’ll find solutions to all the exercises. This NCERT Class 7 solution will help you to score good marks in your exam.
Students can refer to our solution for NCERT Class 7 Maths Chapter 9 – Rational Numbers. The Chapter 9 Solution of NCERT will help students prepare for the exams and easily crack the exam. Below we’ve provided you with the exercise-wise latest solution.
NCERT Solutions for Class 7 Maths Chapter 9 – Rational Numbers Exercise Wise Solution
Exercise 9.1 – Page 182 of NCERT
Exercise 9.2 – Page 190 of NCERT
NCERT Solutions for Class 7 Maths Chapter 9 – Rational Numbers Exercise 9.1 Solution
Here you’ll find NCERT Chapter 9 – Rational Numbers Exercise 9.1 Solution.
Exercise 9.1: Solutions of Questions on Page Number: 182
Q1: List five rational numbers between:
(i) – 1 and 0 (ii) – 2 and – 1
(iii) 
Answer:
- – 1 and 0
- – 2 and – 1
Five rational numbers are
Five rational numbers are
Five rational numbers are
Q2: Write four more rational numbers in each of the following patterns:
(i) 
(iii) 
Answer:
(i)
It can be observed that the numerator is a multiple of 3 while the denominator is a multiple of 5 and as we increase them further, these multiples are increasing. Therefore, the next four rational numbers in this pattern are
(ii)
The next four rational numbers in this pattern are
(iii)
The next four rational numbers in this pattern are
(iv)
The next four rational numbers in this pattern are
Q3: Give four rational numbers equivalent to:
(i) 
Answer :
(i)
Four rational numbers are
(ii)
Four rational numbers are
(iii)
Four rational numbers are
Q4: Draw the number line and represent the following rational numbers on it:
(i) 
(iii)
Answer:
(i)
This fraction represents 3 parts out of 4 equal parts. Therefore, each space between two integers on number line must be divided into 4 equal parts.
(ii)
This fraction represents 5 parts out of 8 equal parts. Negative sign represents that it is on the negative side of number line. Therefore, each space between two integers on number line must be divided into 8 equal parts.
(iii)
This fraction represents 1 full part and 3 parts out of 4 equal parts. Negative sign represents that it is on the negative side of number line. Therefore, each space between two integers on number line must be divided into 4 equal parts.
(iv)
This fraction represents 7 parts out of 8 equal parts. Therefore, each space between two integers on number line must be divided into 8 equal parts.
Q5: 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.
Answer:
Distance between U and T = 1 unit
It is divided into 3 equal parts.
TR = RS = SU =
R =
S =
Similarly, AB = 1 unit
It is divided into 3 equal parts.
P =
Q =
Q6: Which of the following pairs represent the same rational number?
Answer :
(i)
As
Therefore, it does not represent same
rational numbers.
(ii)
Therefore, it represents same rational numbers.
(iii)
Therefore, it represents same rational numbers.
(iv)
Therefore, it represents same rational numbers
(v)
Therefore, it represents same rational numbers
(vi)
Therefore, it does not represent same rational numbers.
(vii)
Q7: Rewrite the following rational numbers in the simplest form:
(i) 
(iii) 
Answer:
(i)
(ii)
(iii)
(iv)
Q8: Fill in the boxes with the correct symbol out of >, <, and =
(i)
(ii)
(iii)
(iv)
(v)
(vi)
(vii)
Answer:
(i)
As – 15 < 14,
(ii)
As -28 < -25
(iii) Here,
(iv)
As -32 > -35,
(v)
As -4 < -3,
(vi)
(vii)
Q9: Which is greater in each of the following?
Answer:
(i)
By converting these into like fractions,
As 15 > 4, therefore 
(ii)
(iii)
By converting these into like fractions
(iv)
(v)
By converting these into like fractions,
Q10: Write the following rational numbers in ascending order:
(i) 
Answer:
(i)
As – 3 < – 2 < – 1,
(ii)
By converting these into like fractions,
As – 12 < – 3 < – 2,
(iii)
By converting these into like fractions,
As – 42 < – 21 < – 12,
NCERT Solutions for Class 7 Maths Chapter 9 – Rational Numbers Exercise 9.2 Solution
Here you’ll find NCERT Chapter 9 – Rational Numbers Exercise 9.2 Solution
Exercise 9.2: Solutions of Questions on Page Number: 190
Q1: Find the sum:
Answer:
(i) 4/5+(- 11/ 4) = 4/5 – 11/4 = 5/20 = – 39/ 20
(ii)
L.C.M of 3 and 5 is 15.
(iii)
L.C.M of 10 and 15 is 30.
(iv)
L.C.M of 11 and 9 is 99.
(v)
L.C.M of 19 and 57 is 57.
(vi)
(vii) 
L.C.M of 3 and 5 is 15.
Q2: Find
Answer:
(i)
L.C.M of 24 and 36 is 72.
(ii)
L.C.M of 63 and 7 is 63.
(iii)
L.C.M of 13 and 15 is 195.
(iv)
L.C.M of 8 and 11 is 88.
(v)
L.C.M of 9 and 1 is 9.
Q3: Find the product:
Answer:
(i)
(ii)
(iii)
(iv)
(v)
(vi)
Q4: Find the value of:
Answer:
(i)
(ii)
(iii)
(iv)
(v)
(vi)
(vii)
NCERT Class 7 Maths All Chapters Solution
Chapter 1: Integers
Chapter 2: Fractions and Decimals
Chapter 3: Data Handling
Chapter 4: Simple Equations
Chapter 5: Lines and Angles
Chapter 6: The Triangle and its Properties.
Chapter 7: Congruence of Triangles
Chapter 8: Comparing Quantities
Chapter 9: Rational Numbers
Chapter 10: Practical Geometry
Chapter 11: Perimeter and Area
Chapter 12: Algebraic Expression
Chapter 13: Exponents and Powers
Chapter 14: Symmetry
Chapter 15: Visualising Solid Shapes