KSEEB Solutions for Class 7 Maths Chapter 9 Rational Numbers Ex 9.1

Students can Download Class 7 Maths Chapter 9 Rational Numbers Ex 9.1 Questions and Answers, Notes Pdf, KSEEB Solutions for Class 7 Maths helps you to revise the complete Karnataka State Board Syllabus and to clear all their doubts, score well in final exams.

Karnataka State Syllabus Class 7 Maths Chapter 9 Rational Numbers Ex 9.1

Question 1.
List five rational numbers between:
a) -1 and 0
Solution:


∴ Five rational numbers between -1 and 0 are

ii) -2 and -1
Solution:

iii) First we convert \(\frac{-4}{5}\) and \(\frac{-2}{3}\) to like rational numbers by finding the LCM of 5 and 3.
Solution:
LCM of 5 and 3 is 15.

iv)
Solution:

‘Simplifying Rational Expressions Calculator‘ is an online tool that helps to calculate the rationalized form of a given rational expression.

Question 2.
Write four more rational numbers in each of the following patterns :

Solution:

Question 3.
Give four rational numbers equivalent to :
i) , ii) , iii) 
Solution:

Question 4.
Draw the number line and represent the following rational numbers on it :
i) 
Solution:

ii) 
Solution:

iii) 
Solution:

iv) 
Solution:

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:

Question 6.
Which of the following pairs represent the same rational number ?

Solution:
(i)  is negative rational number and  is a positive Rational Number. Therefore this pair does not represent the same rational number.

Question 7.
Rewrite the following rational numbers in the simplest form :

Solution:

Question 8.
Fill in the boxes with the correct symbol out of >, <, and =.

i)
Solution:
 is a negative rational number
 is a positive rational number.

ii)
Solution:
To make the equal denominator

iii)
Solution:

iv)
Solution:

v)
Solution:

vi)
Solution:

vii)
Solution:
0 is greater than the negative numbers,

Question 9.
Which is greater in each of the following

i)
Solution:
L.C.M of 3 & 2 is 6

ii)
L. C. M of 6 and 3 is 6

iii)
Solution:
L. C M of 4 and 3 is 12

iv)
Solution:

(v)

Solution:
\(\frac{-23}{7}, \frac{-19}{5}\)
[Converting mixed rational numbers to improper rational numbers]
The LCM of 7 and 5 is 35

Question 10.
Write the following rational numbers in ascending order :

Solution:
i)
Solution:

ii)
Solution:
L. C. M of 3 & 9 is 9

∵ the denominators are same, we compare the numerators.

iii)
Solution:
We change them to like rational numbers.
LCM of 7, 2 and 4 is 28

Denominator same, So the numerators are
-42 < -21 < -12