#dozenal system

MY ALGEBRALIEN OC

my oc. pls treat it kindly. credit if used. she/it

What if we had twelve fingers and no decimal but a dozen-al system

So ten becomes the new twelve, you need two new number symbols for the old ten and eleven and new words for them, how does that work with the multiplication tables and with arithmetic in general? Then you will eventually need need more new words, for the 100 and the 110, etc. I was lead to this question because things in packaging are easier to distribute in 2x6, 3x4, 4x3 or 6x2.

The system described here is well known. The dozenal, base 12 or duodecimal, system is being used here and there and is for arithmetic a bit more convenient than our decimal system because, as noted in the explanation, 12 has more divisors than 10. You can work duodecimally on one hand: the phalanges of the four fingers (and you count them with your thumb).

Normal arithmetic does not really change: adding and subtracting still works with carrying and borrowing, we would need to learn two more multiplication tables. It would be a good exercise to create some sums and try to do those, say with A and B as the `digits' for ten and eleven: A+A=…, A×B=…, 12+2B=…, 12×2B=…