Submission + - Aztecs Used Base-20 Number System
Hugh Pickens writes: "Just as modern governments require careful land surveys and records of value for taxation, Aztec administrators were diligent book keepers when it came to landholdings and real estate. But rather than using a decimal system, Aztecs used a "base 20" system requiring 20 individual numerals. "They didn't have a decimal system, they used base twenty number system based on fingers and toes," says Prof Jorge y Jorge, who calls this "Acolhua Congruence Arithmetic." Although the Spanish wiped out most of Aztec culture after their conquest, two ancient manuscripts of Aztec origin from the 16th-century, the codex Vergara and the Santa María Asunción codex, carry key details of land ownership. From the field areas, scientists could glimpse the arithmetic used by the Acolhua-Aztecs and were sure they were correct because they could compute the exact areas recorded in the case of 287 fields (pdf). The Aztecs did not use fractions as we understand them so rather than thinking of half a land unit they used an an arrow or a heart instead and would do the same mental calculation as we do today when converting minutes into hours, hours into days, inches into feet, and so forth. "For example, using the above proportions, five times an arrow, will be two land rods plus one arrow, eight times a heart will be two land rods plus three hearts and six times a hand will be three land rods plus a hand.""