Lecture

Rational Numbers: Construction and Properties

Description

This lecture introduces the concept of rational numbers as the 'smallest' extension of integers to solve various equivalent problems, such as performing all divisions by a non-zero integer and having a multiplicative inverse for every non-zero number. It covers the definition of fractions, equivalence of fractions, and properties of rational numbers. The lecture also includes proofs demonstrating the commutativity property of multiplication in rational numbers.

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