this post was submitted on 28 Mar 2024
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I have a theory that Americans are great at math because they regularly work with base-12 systems.
That would be cool if true. But then they use measures like subdivisions of an inch in base 8 increments.
It's closer to a binary system, since it's iterative division by two. Half inch, quarter, eighth, sixteenth and so on.
People do the same thing in metric, but they just prefer to write 0.125 cm instead of 1/8 cm.
Imperial units are a bit more heavy on rational numbers instead of decimal.
The base 12 stuff comes up with things that were historically cut in halves as well as thirds.
It's all highly composite numbers, since they're easier to work with if you're doing repeated division in your head. Ten is only divisible by 2 and 5 before you start to get a lot of rapidly growing decimal parts. 12 is divisible by 2,3,4,6.
If you've got a balance, a knife and a stone we all agree on the weight of (let's call it a pound stone), it's easy to measure our a half or third of a pound, and halves or thirds of any other portion I can produce.
Over time, common divisions got names and a system of units was produced that was entirely inconsistent but liked 12 and 60 because of ease of use, and powers of two because you can just keep cutting them in half.
It's all moot since we can use a scale now instead of a balance with a rock, and we can trust measuring tapes instead of repeatedly bisecting a plank, but it at least gives context to why it prefers fractions and numbers like 12 and 8.
And base 3 sometimes (yards). When taught well, there's a ton of value in learning to quantify the world in a variety of base systems.
Not uniquely American, but thinking in base 7 (weeks), base 12 (years, hours, feet), base 60 (minutes), base 3 (yards), base 10 (the default unless told otherwise), etc. really helps you adapt and estimate a number of other, unrelated, things.