## ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 1 Rational Numbers Ex 1.5

Question 1.

Represent the following rational numbers on the number line:

(i) \(\frac { 11 }{ 4 }\)

(ii) 4\(\frac { 3 }{ 5 }\)

(iii) \(\frac { -9 }{ 7 }\)

(iv) \(\frac { -2 }{ -5 }\)

Solution:

Question 2.

Write the rational numbers for each point labelled with a letter:

Solution:

Question 3.

Find twenty rational numbers between \(\frac { -3 }{ 7 }\) and \(\frac { 2 }{ 3 }\)

Solution:

20 rational numbers between \(\frac { -3 }{ 7 }\) and \(\frac { 2 }{ 3 }\)

LCM of 7, 3 = 21

Question 4.

Find six rational numbers between \(\frac { -1 }{ 2 }\) and \(\frac { 5 }{ 4 }\)

Solution:

6 rational numbers between \(\frac { -1 }{ 2 }\) and \(\frac { 5 }{ 4 }\)

LCM of 2, 4 = 4

Question 5.

Find three rational numbers between -2 and -1.

Solution:

3 rational numbers between -2 and -1

First rational number = \(\frac { 1 }{ 2 }\) (-1 – 2) = \(\frac { -3 }{ 2 }\)

Second rational number between -2 and \(\frac { -3 }{ 2 }\)

Question 6.

Write ten rational numbers which are greater than 0.

Solution:

Ten rational numbers which are greater than 0.

There can be the infinite number of a rational number greater than 1.

We shall take only 10 to rational numbers such as

Question 7.

Write five rational numbers which are smaller than -4.

Solution:

5 rational numbers which are smaller than -4.

These can be infinite numbers of rational numbers smaller than -4.

We shall take only 5 rational numbers such as

Question 8.

Identify the rational number which is different from the other three. Explain your reasoning

Solution:

\(\frac { -7 }{ 3 }\) is different as its denominator is less than its numerator,

in others, denominators are greater than their numerators respectively.