
Decimal notation without zero.
Basically what we have here is a failure (in a long line of failures) to get past the need for a different set of symbols to represent each power of ten. The Greeks used three sets of nine letters to allow them to represent numbers up to 999 (without adding new notation). The system shown here has four sets of nine symbols which in combination gives you the ability to represent numbers up to 9999. Both systems are obviously better than Roman numerals but are still severely limited.
Meanwhile in India* they had already realised that you needed a special symbol just to represent “nothing” and with this they had developed a way of representing higher powers of ten simply by their place within a sequence. That of course is the place notation system that we still use today.
This revolutionary system, wrongly called “Arab numerals” allowed counting without limit and the obvious superiority of this system eventually swept all other notation systems away.
* and more that 600 years earlier
Originally shared by Jeff Erickson
Numerical notation in common use in the Middle ages, before the widespread adoption of the “Arabic” numerals brought to the west by Al-Khwarizmi, but after his algorithms for place-value arithmetic were well-known and accepted. There were many variations; this particular form was standard in 14th century France.
From David King, The Ciphers of the Monks: A Forgotten Number-notation of the Middle Ages, 2001.



