Q:

Definition of the approx. symbol

Take an unending number, say e.g $π$. If we want to show $π$'s value, should we use the approximately notation or equal sign when writing:
$π = 3.14...$ or $π ≈ 3.14...$ 
This might be a really simple question, i don't know, but when i really started thinking about this i couldn't really decide. Technically we can't assign $π$ a "pure exact" value so does that restrict us to the approx. symbol? Or can we say actually say that $π = 3.14...$?
One thing for sure. $π ≈ 3.14$ is at least correct.
Thanks in advance!

A:

The statement
$$
\tag{1} \pi = 3.14\ldots
$$
tells us the first three digits in the decimal expansion of $\pi$, while acknowledging that there are more digits which we have not written explicitly. Statement (1) is valid and correct. 

