• Skip to main content
  • Skip to primary sidebar
  • Skip to footer
  • NCERT Solutions
    • NCERT Books Free Download
  • TS Grewal
    • TS Grewal Class 12 Accountancy Solutions
    • TS Grewal Class 11 Accountancy Solutions
  • CBSE Sample Papers
  • NCERT Exemplar Problems
  • English Grammar
    • Wordfeud Cheat
  • MCQ Questions

CBSE Tuts

CBSE Maths notes, CBSE physics notes, CBSE chemistry notes

NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers

Contents

  • 1 NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers
    • 1.1 Chapter 9 Rational Numbers Exercise 9.1
    • 1.2 Chapter 9 Rational Numbers Exercise 9.2

NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers are part of NCERT Solutions for Class 7 Maths. Here we have given NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers.

Board CBSE
Textbook NCERT
Class Class 7
Subject Maths
Chapter Chapter 9
Chapter Name Rational Numbers
Exercise Ex 9.1, Ex 9.2.
Number of Questions Solved 14
Category NCERT Solutions

NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers

Chapter 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:
NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers 1
NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers 2

Ex 9.1 Class 7 Maths Question 2.
Write four more rational numbers in each of the following patterns :
NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers 3
Solution:
NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers 4
NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers 5

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:
NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers 6

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 \(\frac { 3 }{ 4 } \)
NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers 7

(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 \(\frac { -5 }{ 8 } \).
NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers 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 \(\frac { -7 }{ 4 } \).
NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers 9

(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 \(\frac { 7 }{ 8 } \).
NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers 10

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.
NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers 11

Solution:
NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers 12

Ex 9.1 Class 7 Maths Question 6.
Which of the following pairs represents the same rational number?
NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers 13
Solution:
NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers 14
NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers 15
NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers 16

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:
NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers 17
NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers 18

Ex 9.1 Class 7 Maths Question 8.
Fill in the boxes with the correct symbol out of >, <, and =.
NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers 19
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,
NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers 20
(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.
NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers 21

(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:
NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers 22

(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.
NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers 23

(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:
NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers 24

(vi) First we write each one of the given rational numbers with a positive denominator.
NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers 25

(vii) Since every negative rational number is less than 0,
NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers 26

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:
NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers 27
NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers 28

Ex 9.1 Class 7 Maths Question 10.
Write the following rational numbers in ascending order :
NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers 29
Solution:
NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers 30
NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers 31

Chapter 9 Rational Numbers Exercise 9.2

Ex 9.2 Class 7 Maths Question 1.
Find the sum :
NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers 32
Solution:
NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers 33
NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers 34

Ex 9.2 Class 7 Maths Question 2.
Find :
NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers 35
Solution:
NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers 36

Ex 9.2 Class 7 Maths Question 3.
Find the product :
NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers 37
Solution:
NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers 38
NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers 39

Ex 9.2 Class 7 Maths Question 4.
Find the value of :
NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers 40
Solution:
NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers 41

We hope the NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers help you. If you have any query regarding NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers, drop a comment below and we will get back to you at the earliest.

Primary Sidebar

NCERT Exemplar problems With Solutions CBSE Previous Year Questions with Solutoins CBSE Sample Papers

Recent Posts

  • Algebra Coefficient of term Workedout problems
  • factor theorem applications Find factor of polynomial
  • CBSE Class 9 maths solutions Triangles Ex 7 1 NCERT Class 9 maths solutions
  • CBSE Class 9 Maths solutions Heron’s Formula Ex 12 2 NCERT Class 9 Maths solutions
  • CBSE Class 9 Maths solutions Heron’s Formula Ex 12 1 NCERT Class 9 Maths solutions
  • CBSE Class 9 maths solutions Introduction to Euclid’s Geometry Ex 5 1
  • CBSE Class 9 maths solutions Lines and Angles Ex 6 3 NCERT Class 9 maths solutions
  • factor theorem examples factor theorem questions
  • factoring cubic polynomials Factorise by splitting middle term and factor theorem Ex 2.4
  • factoring quadratic polynomial by splitting the middle term
  • Factoring Trinomials by Using the Punnett Square Ex 2 4
  • Factorise cubic polynomial factoring polynomials using algebraic identities Ex 2 5
  • Factorise polynomials Factorizing using algebraic identities Ex 2 5
  • Factorize perfect square trinomials Algebraic identities Ex 2 5
  • Factor theorem Find unknown coefficient in polynomial given factor of polynomial

Footer

Maths NCERT Solutions

NCERT Solutions for Class 12 Maths
NCERT Solutions for Class 11 Maths
NCERT Solutions for Class 10 Maths
NCERT Solutions for Class 9 Maths
NCERT Solutions for Class 8 Maths
NCERT Solutions for Class 7 Maths
NCERT Solutions for Class 6 Maths

SCIENCE NCERT SOLUTIONS

NCERT Solutions for Class 12 Physics
NCERT Solutions for Class 12 Chemistry
NCERT Solutions for Class 11 Physics
NCERT Solutions for Class 11 Chemistry
NCERT Solutions for Class 10 Science
NCERT Solutions for Class 9 Science
NCERT Solutions for Class 7 Science
MCQ Questions NCERT Solutions
CBSE Sample Papers
cbse ncert
NCERT Exemplar Solutions LCM and GCF Calculator
TS Grewal Accountancy Class 12 Solutions
TS Grewal Accountancy Class 11 Solutions