## ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 3 Rational Numbers Ex 3.2

Question 1.
Draw a number line and represent the following rational numbers on it:
(i) $$\frac { 3 }{ 8 }$$
(ii) $$\frac { -3 }{ 4 }$$
(iii) $$\frac { -7 }{ 8 }$$
(iv) $$\frac { -17 }{ 8 }$$
Solution:

Question 2.
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 respectively.

Solution:
Points P, Q, R, S, T, U, A and B are on numbers line such that TR = RS = SU and AP = PQ = QB.
From the number line, we see that

Question 3.
State whether the following statements are true or false:
(i) The rational number $$\frac { -13 }{ -5 }$$ lies to the right of zeroxin the number line.
(ii) The rational numbers $$\frac { -5 }{ -7 }$$ and $$\frac { 7 }{ -9 }$$ lie on opposite sides of zero on the number line.
(iii) The rational numbers $$\frac { -17 }{ 6 }$$ and $$\frac { 8 }{ -15 }$$ lie on opposite sides of zero on the number line.
Solution:
On a number line,

On opposite sides is false. (False)

Question 4.
Which of the two rational numbers is greater in each of tl following pairs?

Solution:

Question 5.
Fill in the boxes with the correct symbol out of >, < and =:

Solution:

Question 6.
Arrange the following rational numbers in ascending order:

Solution:

Question 7.
Arrange the following rational numbers in descending order:

Solution:

Question 8.
Insert five rational numbers between:
(i) -3 and -2
(ii) $$\frac { -2 }{ 3 }$$ and $$\frac { -1 }{ 3 }$$
Solution:
(i) 5 rational numbers between -3 and -2
$$\frac { -3 }{ 1 }$$ , $$\frac { -2 }{ 1 }$$
We have to find 5 rational numbers between -3 and -2
Multiplying by (5 + 1) = 6 to numerator and denominator

Question 9.
Insert five rational numbers between:
(i) $$\frac { -4 }{ 5 }$$ and $$\frac { -2 }{ 3 }$$
(ii) $$\frac { -1 }{ 2 }$$ and $$\frac { 2 }{ 3 }$$
Solution: