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 http://gdaymath.com/.
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