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