The constant e is approximately equal to what?
Answer2.718
e is about 2.71828; 3.142 is pi, 1.618 the golden ratio and 1.414 the square root of 2.
Science · Facts & stats
E facts & stats
7 fact-checked facts about the mathematical constant e, each with the reason behind it. 5 more are in today's round and join this page after it closes.
The basics
e is the base of which logarithm?
AnswerThe natural logarithm
The natural logarithm, written ln, uses e as its base.
Going deeper
Which equation is known as Euler's identity?
Answere^(iπ) + 1 = 0
Euler's identity links e, i, π, 1 and 0 in one short equation.
e is the limit of which expression as n grows very large?
Answer(1 + 1/n)^n
As n increases, (1 + 1/n)^n gets closer and closer to e.
What is ln(e)?
Answer1
The natural log asks what power of e gives the input, and e¹ = e, so ln(e) = 1.
Expert level
Jacob Bernoulli discovered the constant e while studying what?
AnswerCompound interest
In 1683 Jacob Bernoulli found e by asking what happens when interest is compounded more and more often.
Which is the correct value of e to five decimal places?
Answer2.71828
e = 2.718281828..., so to five decimal places it is 2.71828.
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