## 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: