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

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## 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

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