Yeap, the specific example wasn't important. I choose an example involving the order of operations and an integer overflow simply because it would be easy to discuss. (I have been out of the field for nearly 20 years now.) Your example of floating point errors is another. I also encountered artifacts from approximations for transcendental functions.

Choosing a "better" language was not always an option, at least at the time. I was working with grad students who were managing huge datasets, sometimes for large simulations and sometimes from large surveys. They were using C. Some of the faculty may have used Fortran. C exposes you the vulgarities of the hardware, and I'm fairly certain Fortran does as well. They weren't going to use a calculator for those tasks, nor an interpreted language. Even if they wanted to choose another language, the choice of languages was limited by the machines they used. I've long since forgotten what the high performance cluster was running, but it wasn't Linux and it wasn't on Intel. They may have been able to license something like Mathematica for it, but that wasn't the type of computation they were doing.

I didn't consider it an order of operations issue. Order of operations doesn't matter in the above example unless you have bad precision. What I was trying to say is that good calculators have plenty of precision.

But floating point error manifest in different ways. Most people only care about 2 to 4 decimals which even the cheapest calculators can do well for a good amount of consecutive of usual computations. Anyone who cares about better precision will choose a better calculator. So floating point error is remediable.