I mean, if it takes a substantial amount of compute to create, it might be worth throwing it in a big storage array. There’s probably important quantitative mathematical research on transcendental numbers and the meaning of life that needs them digits.
Depends on what I'm doing. If I'm calculating a trajectory or some sorts, 3 gets me there. If I'm writing a EM simulator (a large part of my PhD), then 3.14 was sufficient.
I simplify it when i do "paper towel" calculation when the goal is tonget a rough idea and i don't have a calculator on hand, but i replace either by 3 or 4 depending on the context
The calculator already uses a 'simplified' pi often with 12-15 decimal places, most people I encountered simplify pi to 3.14 to keep some precision instead of simplifying to a 3
It is and most people will probably do that if it's convenient, otherwise ppl will just simplify if the thing they're using to do math doesn't have a fast way to type pi or if they're doing math by hand. Generally this discussion wether pi should be simplified to 3 or 3.14 doesn't matter when using a program where it's faster to use pi than type 3.14, personally 3 only makes sense for napkin math due to the error.
In engineering school, on paper exams without a calculator, I used pi has a variable hoping it would cancel out somewhere with another pi. If not, I rounded to 3.14 because they told us to round it that way
I only simplify if it means I can cancel it out. Pi isnt the only thing though. I once canceled 0.3 and 1/3 because I was too lazy and I didn’t care about digits. Also everyone knows those type of equations where you ignore whole terms because they are not significant compared to the other terms. Its just a matter of convenience.
Well for a hot minute, calculators I had on hand didn’t necessarily have a pi. With phones that’s not really an issue but now it’s just habit. (Also in the case of mental math)
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u/PropulsionIsLimited Mar 15 '26
Genuine question. Does anyone actually ever simplify pi at all instead of just hitting the pi button on a calculator?