>> A calculator does math faster but we don't call it sentient or feel inferior or dismiss the results.

Actually, we do. We do dismiss calculator results. We are all generally aware of a calculator's abilities. We know it has limits. So when a calculator outputs 9999e999999 we know to distrust that result. It was something out of the calculators concept of understanding. So too a calculator's version of Pi. "3.14159265359" is not Pi and every user knows it is an approximation not be used for anything too important or precise. The same approach should apply to LLMs... but their limitations remain nebulous and ever-changing.

Most calculators use 14-15 digits of pi even if they only show 10. It would be hard to come up with a case where for single calculations this was not “sufficient”.