Exercise 1.1 | 5 questions
Finding HCF using Euclid's Division Algorithm, word problems on HCF, expressing positive integers, their squares and cubes in the form 6q + r, 3q + r, and 9q + r.
Exercise 1.2 | 7 questions
Fundamental theorem of arithmetic, prime factorization is unique, finding LCM and HCF by prime factorization, product of 2 numbers is equal to the product of LCM and HCF of the 2 numbers and word problems in LCM and HCF.
Exercise 1.3 | 3 Questions
Proving that numbers such as √5 are irrational. The method is by assuming the contrary and negating the assumption. Further proving that product of a rational and irrational is irrational and sum of a rational and an irrational number is irrational.