Intuitively knowing how it works means being able to immediately catch 110 is wrong when you tried to enter 55 / 2 (and mis-typed / as *), instead of blindly tr

Intuitively knowing how it works means being able to immediately catch 110 is wrong when you tried to enter 55 / 2 (and mis-typed / as *), instead of blindly trusting it. This was a problem even 20 years ago. I remember one instance from my physics class in highschool, one student's result had gravity going in the wrong direction. The teacher used it as an example for why should understand what we're doing and not to blindly trust our calculators.