Exact Arithmetic of Zero and Infinity Based on the Conventional Division by Zero 0/0 = 1
Okoh Ufuoma *
Department of Mathematics and Science, Apex Academy, Uwheru, Delta State, Nigeria.
*Author to whom correspondence should be addressed.
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.
Keywords: Zero, innity, division by zero, conventional division by zero, Bhaskara's identity, Bhaskara's impending operation on zero.