Wednesday, September 13, 2023

Sept 18 Babylonian-style base 60 multiplication table for the number forty-five

Susan gave an example of 2 and 22,30 whose product is 45 in base 60

Below are five pairs of numbers whose product equals 45 in base 60:

- 4 and 11,15: 4 times 11 is 44, but 4 times 11 and a quarter (,15) is 44 + 1 = 45

- 6 and 7,30: 6 times 7 is 42, but 6 times 7 and a half (,30) is 42 + 3 = 45

- 8 and 5,37,30: 8 times 5 is 40, so to do 0.625 in sexagesimals, 0.625*60 = 37.5, so the tenths place is 37, and the hundredths place is the value that represents half of 60 which is 30

- 12 and 3,45: 12 times 3 is 36, but 12 times 3 and three quarters (3* ,15 = ,45) is 36 + 9 = 45

- 20 and 2,15: 20 times 2 is 40, but 20 times 2 and a quarter (,15) = 40 + 5 = 45




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