ML Aggarwal Class 9 Solutions Chapter 1 Rational Numbers Ex 1.1 for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

## ML Aggarwal Class 9 Solutions for ICSE Maths Chapter 1 Rational Numbers Ex 1.1

Question 1.

Insert a rational number between \(\frac {2}{9}\) and \(\frac {3}{8}\), and arrange in descending order.

Solution:

A rational number between \(\frac {2}{9}\) and \(\frac {3}{8}\)

Question 2.

Insert two rational numbers between, \(\frac {1}{3}\) and \(\frac {1}{4}\), and arrange in ascending order.

Solution:

A rational number between and \(\frac {1}{3}\) and \(\frac {1}{4}\)

A rational number between and \(\frac {1}{4}\) and \(\frac {7}{24}\)

Question 3.

Insert two rational numbers between – \(\frac {1}{3}\) and – \(\frac {1}{2}\) and arrange in ascending order.

Solution:

L.C.M. of 3 and 2 is 6

∴ Two rational numbers between \(\frac {- 2}{6}\) and \(\frac {- 3}{6}\)

Question 4.

Insert 3 rational numbers between \(\frac {1}{3}\) and \(\frac {4}{5}\) and arrange in descending order.

Solution:

A rational number between \(\frac {1}{3}\) and \(\frac {4}{5}\)

Question 5.

Insert three rational numbers between 4 and 4.5.

Solution:

∵ 4 < 4.0625 < 4.125 < 4.25 < 4.5

∴ Three rational numbers between 4 and 4.5 are 4.0625, 4.125, 4.25

Question 6.

Find six rational numbers between 3 and 4.

Solution:

Six rational numbers between 3 and 4

First rational number between 3 and 4

Question 7.

Find five rational numbers between \(\frac {3}{5}\) and \(\frac {4}{5}\).

Solution:

Five rational numbers between \(\frac {3}{5}\) and \(\frac {4}{5}\)

Multiplying and dividing by 5 + 1 = 6

Question 8.

Find ten rational numbers between \(\frac {- 2}{5}\) and \(\frac {1}{7}\)

Solution:

Ten rational numbers between \(\frac {- 2}{5}\) and \(\frac {1}{7}\)

LCM of 5 and 7 = 35

Question 9.

Find six rational numbers between \(\frac {1}{2}\) and \(\frac {2}{3}\).

Solution:

Six rational number between \(\frac {1}{2}\) and \(\frac {2}{3}\)

LCM of 2, 3 = 6