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.
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.