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.
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. 26=10. 36=16. 4*6=20. But, when we do memorize the new table, it is just as consistent and functional as our decimal system.
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.
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.
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. 26=10. 36=16. 4*6=20. But, when we do memorize the new table, it is just as consistent and functional as our decimal system.
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
Yeah that’s true.
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.