"*As I just said with my example, you might not need to write that down, but you do need to enter it into a calculator, which means you will use the multiply button and you will need to enter it in the right order*"

But you presumably remember the days when we wrote (as we still do, of course) "sin 90 = 1" but calculator syntax was "90 sin = 1"?

People struggled a bit when they first used a calcuator for trig because *they understood the operation perfectly well but they didn't know the syntax*. It wasn't that the calculator's syntax didn't make sense, it's just that people had never used it.

You can understand how to count your change without needing to understand arithmetic syntax.

I wonder how many people there are who (a) would struggle with working out "501 - 20 - 20 - 20 x 3" and (b) would calculate darts scores in a fraction of the time that any of us would. I would guess quite a few.