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NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers

Contents

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.

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