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Research Article Open access CC BY 4.0

Exact Arithmetic of Zero and Infinity Based on the Conventional Division by Zero 0/0 = 1

Okoh Ufuoma

Asian Research Journal of Mathematics · pp. 1–40 · Published 13 Mar 2019

10.9734/arjom/2019/v13i130099

Abstract

The chief object of this work is to create an exact and consistent arithmetic of zero, denoted 0, and infinity (zero divisor), written as 1/0 and denoted ∞  , based on the conventional division by zero $$ \dfrac{{0}}{{0}}=1. $$ Manifold and undeniable applications of this arithmetic are given in this work in order to show its usefulness.

Zero innity division by zero conventional division by zero Bhaskara's identity Bhaskara's impending operation on zero.

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