Base 3 Numeration System Requiring a Negative Digit

Authors

  • Steven Meiring Ohio Department of Education (retired)

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.

References

Common Core State Standards Initiative (CCSSI) (2010). Standards for Mathematical Practice. Available online at www.corestandards.org.

Meiring, S. (Fall 2020). Stella and the Stunners: The Mathematical Legacy of Rudd Crawford. Ohio Journal of School Mathematics 87, pp. 49--57.

Howe, R. (ed.). (2006). The Quotable Teacher. The Lyons Press: Guilford, Connecticut.

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Published

2021-04-09

How to Cite

Meiring, S. (2021). Base 3 Numeration System Requiring a Negative Digit. Ohio Journal of School Mathematics, 87(1). Retrieved from https://ohiomathjournal.org/index.php/OJSM/article/view/8052

Issue

Vol. 87: Spring 2021

Section

Articles

License

Copyright (c) 2021 Steven Meiring