Divide Like a Babylonian - Centimal Arithmetic and Old Babylonian Division Techniques
Insights into Mathematics via YouTube
Overview
Explore the Old Babylonian approach to division in a 28-minute video that introduces the concept of "centimal" arithmetic (base 100). Learn how this system compares to the Babylonian sexagesimal (base 60) system and gain insights into the logical weaknesses of current number systems, particularly when dealing with repeating decimals. Discover the importance of regular numbers and centimal reciprocal tables in simplifying division operations. Examine multiplication and division tables and their practical applications. Gain a deeper understanding of arithmetic operations through a logical treatment and explore the potential benefits of centimal number arithmetic in addressing common mathematical challenges.
Syllabus
Intro, centimal arithmetic and division
Example of difficulties with the division operation
A logical treatment of operations
Centimal number arithmetic
The centimal reciprocal table
Centimal combined multiplication/division tables
Taught by
Insights into Mathematics