A dozenal system is more difficult in multiplication. Decimal: 10^7 =10000000, 10^8=100000000, 10^9=1000000000, etc.
Dozenal: 12^7= 35831808, 12^8=429981696, 12^9=5159780352.
Gets very messy very quick.
Since we can count to “10” (12) on one hand, we can use the other hand to count sets of “10”, bringing us up to “100” (144). With decimal, we’re stuck at 20, and that’s only if we’re wearing sandals.
If you’re pointing to the last phalange on both hands, that would be “110” (156) though wouldn’t it. Since it would be “10” x “10” + “10”.
We could also use this method to count to 100 in base-10 using only the first 10 phalanges of the hand.
In dozenal (duodecimal), 6+6= a dozen, but we write “dozen” as “10”. A dozen dozen is not 144; it is “100”. 3 dozen is not 36; 3 dozen is “30”.
We would have two additional digits between 9 and “10”.
We would have to rewrite our multiplication table entirely. 2 * 6=10. 3 * 6=16. 4 * 6=20. But, when we do memorize the new table, it is just as consistent and functional as our decimal system.
A dozenal system is more difficult in multiplication. Decimal: 10^7 =10000000, 10^8=100000000, 10^9=1000000000, etc.
Dozenal: 12^7= 35831808, 12^8=429981696, 12^9=5159780352.
Gets very messy very quick.
That’s because you’re working in base 10. That person wants to covert to base 12.
In which case teaching kids to count becomes more difficult because we have ten fingers
Unless you use your thumb to point to the phalanges of each finger.
Ok that’s me convinced. I’m on board train dozenal!
Since we can count to “10” (12) on one hand, we can use the other hand to count sets of “10”, bringing us up to “100” (144). With decimal, we’re stuck at 20, and that’s only if we’re wearing sandals.
If you’re pointing to the last phalange on both hands, that would be “110” (156) though wouldn’t it. Since it would be “10” x “10” + “10”.
We could also use this method to count to 100 in base-10 using only the first 10 phalanges of the hand.
Wait till you hear about these things called inches!
Yeah that’s true.
In base 12 12^7 would be written as 10000000 too.
In dozenal (duodecimal), 6+6= a dozen, but we write “dozen” as “10”. A dozen dozen is not 144; it is “100”. 3 dozen is not 36; 3 dozen is “30”.
We would have two additional digits between 9 and “10”.
We would have to rewrite our multiplication table entirely. 2 * 6=10. 3 * 6=16. 4 * 6=20. But, when we do memorize the new table, it is just as consistent and functional as our decimal system.