The order of our numeral notation mirrors the order of our spoken numerals. I’m not sure if there are any languages that consistently order additive numerals from smallest to largest—“two and fifty and three hundred” instead of “three hundred and fifty two”.
>💡Flipping the local ordering of pronunciation: If we’re truly optimizing, we might as well say “twenty and hundred-three” while we’re at it. The first words “and three-” don’t tell you much until you know “three of what”? Whereas “and hundred-three” tells you the order of magnitude as soon as possible.
This suggestion is aesthetically in tension with your principle of ordering from smallest to largest. Why should we go with informativeness for multiplication and small-to-large order for addition? The larger number in a sum is more informative about the size of the value, that is probably why languages tend to pronounce additive numerals from larger to smaller.
Interestingly, many languages actually do use the “hundred-three” order. You may be interested in this paper: https://www.nature.com/articles/s41599-023-02506-z, they have a striking geographic distribution.
>Do you like cinnamon when it’s not combined with sugar? If not, is it really cinnamon per se that you like?
How do you feel about butter