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Babylonian Sexagesimal System: Positional Notation Without Zero

c. 1800 BCE · Ancient World
Mathematics

By around 1800 BCE, Babylonian scribes in Mesopotamia developed the first positional number system, using base-60 notation recorded on clay tablets including Plimpton 322. A digit's value depended on its location in the number. The system lacked a symbol for zero—scribes left blank spaces, making numbers ambiguous since 1 and 60 appeared identical. Around 300 BCE, scribes added a placeholder symbol within numbers but never at the end. This absence of zero as a concept limited the system's mathematical applications.

Locations

BabylonMesopotamia

Topics

Mesopotamiacuneiformmathematicsnumber systempositional notation

Connected Events — 2 Connections

The sexagesimal (base-60) positional system enabled Babylonian mathematicians to compute Pythagorean triples on tablets like Plimpton 322, demonstrating sophisticated number theory by 1800 BCE Babylonian Right Triangle Mathematics
c. 1800 BCE · Mathematics · Ancient World
Parallel independent development Maya Independently Develop Zero as a Positional Placeholder
c. 36 BCE · Mathematics · Classical Antiquity
The Time Detectives® · Cadet Mission
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