The present work has as its perspective the characterization of Rational and Irrational
numbers, and their due applicability and variations regarding the algebraic and transcendental
aspects. It is known that the number e (of Euler) can be classified as a transcendental
number, that is, those that are not roots of any polynomial that has integer
coefficients. In this assumption, the Number should be considered existent and irrational.
The objective of this research is to characterize the factors that comprise the Rational
and Irrational Numbers, offering the necessary understanding regarding Number e and its
action in Algebraic and Transcendent Numbers. As a methodological resource, a literature
review was used, based on qualitative and quantitative factors, in order to reflect on the
proposed theme. Thus, in this present research, we sought to present information within
the best ways and possibilities to favor understanding, considering the difficulty around
this respective theme, due to its abstract feature, which makes it difficult for many to
understand. Therefore, we highlight the initiatives and arguments around this thematic
principle as a way of possibly fostering the interest of many by the same, and that such
work may be relevant to the research needs of others desirous by this universe of research.
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