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arXiv · 2110.03746

Properties of the Digital Root and its Extension to Rational Numbers -- an Algebraic Approach

Lucas T. Cardoso·Glauber Quadros
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Abstract

This paper contains an algebraic constructive and self-contained account of the invariance rule of the digital root under division for an arbitrary natural basis representation. Both the cases of repeating and non-repeating fractionals are treated. In the preliminary section some known results such as the uniqueness in the representation of a fraction are discussed for both the finite and infinite bases cases. Simple examples are introduced throughout the text for illustrative purposes.

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Lucas T. Cardoso, Glauber Quadros. 2021-10-07. Properties of the Digital Root and its Extension to Rational Numbers -- an Algebraic Approach. https://arxiv.org/abs/2110.03746

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