Students can Download Chapter 9 Rational Numbers Ex 9.1, Question and Answers, Notes Pdf, KSEEB Solutions for Class 7 Maths, Karnataka State Board Solutions help you to revise complete Syllabus and score more marks in your examinations.
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:
we see that
∴ Five rational numbers between -1 and 0 are
ii) -2 and -1
Solution:
we see that
∴ Five Rational Numbers between -2 and -1 are
iii)
Solution:
we see that
Thus five rational numbers between
iv)
Solution:
we see that
Thus 5 Rational Numbers in between \(\frac{1}{2}\) and \(\frac{2}{3}\) are
Question 2.
Write four more rational numbers in each of the following patterns :
i)
Solution:
Thus we came to know the pattern in the above numbers ie., both numerator and denominator should be multiplied by same whole number.
∴ The four more rational numbers would be
ii)
Solution:
Thus we observe the pattern in these numbers.
The other numbers would be,
iii)
Solution:
Thus we observe the pattern in these numbers. The other numbers would be,
iv)
Solution:
Thus we observe the pattern in these numbers
The other numbers would be
Question 3.
Give four rational numbers equivalent to :
i) \(\frac{-2}{7}\)
Four rational numbers equivalent to \(\frac{-2}{7}\) are
ii) \(\frac{5}{-3}\)
Four rational numbers equivalent to \(\frac{5}{-3}\) are
iii) \(\frac{4}{9}\)
Solution:
Four rational numbers equivalent to \(\frac{4}{9}\) are
Question 4.
Draw the number line and represent the following rational numbers on it :
i) \(\frac{3}{4}\)
Solution:
ii) \(\frac{-5}{8}\)
Solution:
iii) \(\frac{-7}{4}\)
Solution:
iv) \(\frac{7}{8}\)
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:
The rational number represented by
The rational number represented by
The rational number represented by
The rational number represented by
The rational number represented by P Q R S is equal to 
respectively.
Question 6.
Which of the following pairs represent the same rational number ?
i)
Solution:
\(\frac{-7}{21}\) is negative rational number and \(\frac{3}{9}\) is a positive Rational Number. Therefore this pair does not represent the same rational number.
ii)
Solution:
∴ The above pair of numbers represent the same rational number.
iii)
Solution:
∴ The above pair of numbers represent the same rational number.
iv)
Solution:
∴ The above pair of numbers represent the same rational number.
v)
Solution:
∴ The above pair of numbers represent the same rational number.
vi)
Solution:
\(\frac{1}{3}\) is a positive rational number and \(\frac{-1}{9}\) is a negative Rational Number.
Therefore this pair does not represent the same rational number.
vii)
Solution:
is a positive rational number and \(\frac{5}{-9}\) is a negative rational number.
Question 7.
Rewrite the following rational numbers in the simplest form :
i) \(\frac{-8}{6}\)
The H. C. F of 6 and 8 is 2.
Then its simplest form would be,
ii) \(\frac{25}{45}\)
The H. C. F of 25 and 45 is 5.
Then its simplest form would be,
iii) \(\frac{-44}{72}\)
The H. C. F of 44 and 72 is 4.
Then its simplest form would be
iv)
The H. C. F of 8 and 10 is 2.
Then Its simplest form would be
Question 8.
Fill in the boxes with the correct symbol out of >, <, and =.
i)
Solution:
\(\frac{-5}{7}\) is a negative rational number
\(\frac{2}{3}\) 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:
(∵ All positive numbers are greater than all negative numbers.)
v)
Solution:
Question 10.
Write the following rational numbers in ascending order :
i)
-3 < -2 < -1
∴ Ascending Order is 
ii)
Solution:
L. C. M of 3 & 9 is 9
iii)
Solution:
Denominator same, So the numerators are
-42 < -21 < -12
