Teorema chinês dos restos: ensino e aplicações

Abstract

The focus of this work is the Chinese Remains Theorem, its teaching and some elementary applications. In this sense, the use of this theorem and its practical application in elementary and high school in basic education can serve as a theoretical basis for future students and teachers seeking exercises or activities related to the Chinese Theorem of Rest. To achieve these goals, chapters 2 through 4 addressed topics in a literature review with the following topics: Integer Numbers and their Basic Properties, Divisibility, Maximum Common Divisor, Common Minimum, Prime Numbers, Linear Diophantine Equations, and Congruences. In Chapter 5 we present the demonstration of the Chinese Theorem of Remnants and twenty-two examples of its applications for the purpose of better resolution-based learning. This paper seeks to support teachers and students aiming to improve their studies and further research on this content.