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Pseudo Number 0.999…
Sumit Gehlot

Sumit Gehlot, Student, Srijan Manav Shiksha Avam Kalyan Sansthan, Jodhpur (Rajasthan), India.

Manuscript received on 04 March 2023 | Revised Manuscript received on 22 March 2023 | Manuscript Accepted on 15 April 2023 | Manuscript published on 30 April 2023 | PP: 26-27 | Volume-3 Issue-1, April 2023 | Retrieval Number: 100.1/ijam.A1148043123 | DOI: 10.54105/ijam.A1148.043123

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© The Authors. Published by Lattice Science Publication (LSP). This is an open-access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)

Abstract: As we know that the number 0.999… is a rational number and mathematicians, teachers and students of mathematics generally wonder whether the number 0.999… and the number 1 are really equal or not. This problem is one of the ancient problems of mathematics and is generally the most asked problem. While trying to solve the above problem, a new fact is found that the number 0.999… is not a real problem and with this a satisfactory solution of the above problem is obtained. In this paper, we do analysis about the existence of the number 0.999… on the real number line and prove that the number 0.999… is only a virtual number. 

Keywords: Number System, Mathematical Reasoning.
Scope of the Article: Arithmetic