Place Value

Binary numbers, using just 0’s and 1’s, are the language of computers.


The idea of expressing all quantities by nine digits whereby is imparted to them both an absolute value and a value of position is so simple that this very simplicity is the very reason for our not being sufficiently aware how much admiration it deserves.



The “Dots and Boxes” approach to place value used in this part (and throughout this book) comes from James Tanton, and is used with his permission. See his development of these and other ideas at

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Mathematics for Elementary Teachers Copyright © 2018 by Michelle Manes is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License, except where otherwise noted.

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