Decimal Numbers

This lecture covers the conversion of fractions to decimal numbers by multiplying them by powers of 10, illustrating the process with examples such as 3/8 and 1/5. It also explains how any decimal number can be transformed into an irreducible fraction by multiplying it by the appropriate power of 10 and simplifying. The instructor demonstrates these concepts with detailed calculations and proofs, emphasizing the relationship between fractions and decimal representations. By the end of the lecture, students will have a clear understanding of the conversion process from fractions to decimal numbers and vice versa.