Algebra what does e equal

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In fact, it's one of the most useful numbers in mathematics. You don't need a calculator to use E to express a number in scientific notation. You can simply let E stand for the base root of an exponent, but only when the base is You wouldn't use E to stand for base 8, 4 or any other base, especially if the base is Euler's number, e.

For example, you would write the number 1 million as 1E6. Similarly 5 million would be 5E6, and 42, would be 4. When writing a number in scientific notation, whether you use E or not, you usually round to two decimal places. The number represented by e was discovered by mathematician Leonard Euler as a solution to a problem posed by another mathematician, Jacob Bernoulli, 50 years earlier. Bernoulli's problem was a financial one. Now suppose the interest rate is half that, but the bank pays it twice a year.

Now suppose the bank paid only 8. The general equation for this progression is:. It turns out that, as n approaches infinity, the result gets closer and closer to e, which is 2. This is how Euler discovered it.