Abstract
http://dx.doi.org/10.5902/2179460X14664Numeral systems allow the representation of numbers, which, together with the forms, constitute the main object of studying of Mathematics. It is also through them that someone can justify the procedures used to perform the four basic arithmetic operations. It is therefore extremely important that the math teacher has a deep understanding of the functioning of numeral systems, in especial, the decimal positional numeral system (DPNS). In this article, we study the properties of numeral systems, in particular those related to the criteria of divisibility and the representation of real numbers in positional systems. We address the topic from three main aspects: its historical evolution; purely mathematical properties of positional numeral systems; and how the teacher can use the two previous aspects in their classes.
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