Re: Numbers
Yeah, we teach "estimate before you calculate", which has been flipped more recently to "... before your computer calculates" for things like spreadsheet work.
Still, no matter what the experience of the person calculating, sometimes it all goes out of the window. I've mentioned in these hallowed forums before that I used to work with a very experienced senior engineer who used to have his old Sinclair Executive calculator as a sort of trophy on his desk. It reminded him off the times he dropped howling mistakes using it when it was the newest thing, before coming to his senses (or had them pointed out) and realising the answers went against years of experience. Although he and I barely overlapped in employment, the rest of the office used it as an example of the need to double-check everything the new design PC (single) printed out, before committing it to ink on the drawing board.
That was in building services engineering design - nothing like as critical or immediate as on the ground in medical experiments...