# Why do we use e in math

## Euler's number

We deal with Euler's number here. Let's look at this:

• A Explanationwhat is Euler's number.
• Examples to that particular number.
• Tasks / exercises to this topic.
• A Video in which Euler's number occurs.
• A Question and answer area to this topic.

Tip: There are different constants in mathematics. Euler's number is one of them. However, the circle number Pi should be much better known.

### Euler's number explanation

In mathematics there are so-called constants that can be used in equations. The circle number Pi is probably best known. Pi is needed, for example, to calculate the area of ​​a circle. This circle number is slightly larger than 3: In addition to the circle number Pi, there is another constant that is very often used in mathematics. This is called Euler's number. In formulas / equations this is abbreviated with an "e". That number is slightly larger than 2.71. example:

How big is x in the next equation? Solution:

We substitute for e = 2.718282 and then solve the equation for x. Display:

### Euler's number application

What is Euler's number actually used for?

E function:

• Functions can include Euler's number.
• Example f (x) = ex.

Derive and integrate:

• The so-called integral and differential calculus is dealt with in the 10th grade and in the upper grades.
• One deals with the slope of a function or the area under a function.
• In some cases, the E function can also occur with Euler's number.
• The special thing about it is that "e" remains derived or integrated "e".

growth:

• A number of growth processes (and also decay processes) in nature can be described with equations which contain the number "e".

physics:

• Some processes in physics / technology involve functions that are based on "e".
• For example in fluid dynamics.

logarithm:

• The natural logarithm is the inverse of the E function.
• You can find an example of this in the logarithmic equations.

Show:

### Application of Euler's number

• An application of Euler's number.
• The E function is presented.
• Examples for integrating the E function.
• Various integration rules on the subject,

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### Questions with answers Euler's number

In this section we look at typical questions with answers about Euler's number.

Q: How can you calculate Euler's number?

A: The number e was calculated by Leonhard Euler as the limit of the following series: Q: When is the subject covered in school?

A: Euler's number is mostly dealt with in mathematics lessons from the 10th grade onwards. The E-function is also dealt with from the 10th grade as well as in the upper level and in many courses of study.