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Base 3 Numeration System Requiring a Negative Digit

Abstract

An investigation of the minimum number of weights for weighing objects on a two-pan balance leads to two interesting discoveries. The first is that the weights must all be powers of three. The second is that a model to describe the process requires a base three numeration system with a negative digit.

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Meiring, S., (2021) “Base 3 Numeration System Requiring a Negative Digit”, Ohio Journal of School Mathematics 87(1), 8--12. doi: https://doi.org/10.18061/ojsm.4236

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Steven Meiring

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Steven Meiring

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Creative Commons Attribution-NonCommercial-NoDerivatives 4.0

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