What is the exact value of e and how many decimal digits do mathematicians know?

[lonton]

1. Some one here remember what e's exact value is ? How long is the after.point.digits extended by mathematicians ?
2. e=2.79
3. I just remember e=2.79, I am not sure of such also

Thanks for any answer

 

[Philosophaie]

e^1 = 2.718281828

 

[Mark44]

Some one here remember what e's exact value is ?

No one here (or in fact, anywhere) remember's e's exact value.

Its decimal representation has infinitely many digits after the decimal point, with no repeating pattern.

 

[HallsofIvy]

I do. It's "e". The fact that, in a particular numerical representation, it has an infinite number of digits has nothing to do with "remembering" it.

 

[Mark44]

I do. It's "e". The fact that, in a particular numerical representation, it has an infinite number of digits has nothing to do with "remembering" it.

In that case, I remember the exact values of pi and phi as well. However, I (reasonably) inferred from lonton's question that he meant the decimal representation.

 

[jacksonpeeble]

I do. It's "e". The fact that, in a particular numerical representation, it has an infinite number of digits has nothing to do with "remembering" it.

HallsofIvy is correct about the variables being the only exact way of expressing the most accurate value; however, without being sarcastic, I assume you just want a list of digits, which is available through NASA. I don't think that there is a "typical" amount of digits that people round to, although I do know that the College Board requires final answers to be accurate to three decimal places - so just pick whatever will still get you that accurate if you're not in a really advanced math class or doing this for your job (in that case, use as many as possible).

I just keep things in "e" form, though, if that makes sense. It's more exact.

 

[Avodyne]

2.7 1828 1828 45 90 45 235 360

I memorized these digits of e many years ago. The repeating block 1828 is a big help, of course; this is followed by three well known angles (in degrees), followed by the course number of the calculus class I happened to be taking at the time, followed by another well known angle.

I've never been able to memorize the next digit, though.