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
