NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers

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) and
(iv) – and
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)
(ii)
(iii)
Solution:

Ex 9.1 Class 7 Maths Question 4.
Draw the number line and represent the following rational numbers on it :
(i)
(ii)
(iii)
(iv)
Solution:
(i) In order to represent 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

(ii) In order to represent 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 .

(iii) In order to represent 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 .

(iv) In order to represent 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 .

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)
(ii)
(iii)
(iv)
Solution:

Ex 9.1 Class 7 Maths Question 8.
Fill in the boxes with the correct symbol out of >, <, and =.

Solution:
(i) Clearly, is a negative rational number and 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 is positive.
The denominator of 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 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) ,
(ii) ,
(iii) ,
(iv) ,
(v) -3,-3
Solution:

Ex 9.1 Class 7 Maths Question 10.
Write the following rational numbers in ascending order :

Solution:

Chapter 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:

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