Question
Approximate the number using a calculator.
(Round to three decimal places.)
Ask by Guzman Murphy. in the United States
Mar 26,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Solution
-
We need to evaluate
. -
Using a calculator, input
. The calculator gives approximately . -
Rounding
to three decimal places, we get .
Thus,
.
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The Deep Dive
The value of
can be approximated using a calculator and is approximately
when rounded to three decimal places. This fascinating number is derived from Euler’s number, which is the base of the natural logarithm and is approximately equal to 2.71828.
Euler’s number
gives us a glimpse into the world of exponential growth and decay, appearing in various fields such as finance, biology, and physics. For instance, in populations that grow continuously, our friend
helps model how quickly a population can expand or contract. It’s a key player in phenomena ranging from compound interest formulas to the spread of diseases!