What causes repeating decimals?
What causes some decimals to repeat, like 1/3=0.3333333333... and 2/3=0.6666666666... and in base 12 system 1/3 doesn't repeat but 1/5 in base 12 equals 0.249724972497...
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DeWayfarer · 61-69, M
It's why the Sumerians used the Sexagesimal number system, base 60! The same base as clocks.
The larger the base the fewer the repeating numbers.
It goes by factorials by the way:
1x2x3x5x7 = 210.
So base 210 would be the most accurate for up to division by 7. Add a 11 to the factor then division by 11 would be accurate. Factorials of prime numbers.
The larger the base the fewer the repeating numbers.
It goes by factorials by the way:
1x2x3x5x7 = 210.
So base 210 would be the most accurate for up to division by 7. Add a 11 to the factor then division by 11 would be accurate. Factorials of prime numbers.