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The first part of an investigation into how to represent numbers using geometric transformations that ultimately leads us to discover numbers not on the number line.
This article for the young and old talks about the origins of our number system and the important role zero has to play in it.
Using balancing scales what is the least number of weights needed to weigh all integer masses from 1 to 1000? Placing some of the weights in the same pan as the object how many are needed?