Teorema chin??s dos restos: ensino e aplica????es

O foco deste trabalho ?? o Teorema Chin??s dos Restos, seu ensino e algumas aplica????es elementares. Nesse sentido, o uso deste teorema e sua aplica????o pr??tica no ensino fundamental e m??dio na educa????o b??sica, pode servir de base te??rica para futuros alunos e professores que buscam exerc??cios ou atividades relacionadas ao Teorema Chin??s dos Restos. Para conseguir esses objetivos, dos cap??tulos 2 ao 4 foram abordados assuntos numa revis??o bibliogr??fica com os seguintes t??picos: Os N??meros Inteiros e suas Propriedades B??sicas, Divisibilidade, M??ximo Divisor Comum, M??nimo M??ltiplo Comum, N??meros Primos, Equa????es Diofantinas Lineares e Congru??ncias. No cap??tulo 5 apresentamos a demonstra????o do Teorema Chin??s dos Restos e vinte e dois exemplos de suas aplica????es com a finalidade de melhor aprendizado baseado nas resolu????es. Este trabalho busca dar suporte para os professores e alunos que visam aprimorar seus estudos e pesquisas posteriores nesse conte??do. ; 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.