Yes.
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That is how whole numbers are defined.
The set of real numbers is defined as the union of all rational and irrational numbers. Thus, the irrational numbers are a subset of the real numbers. Therefore, BY DEFINITION, every irrational number is a real number.
It is because of the way in which positive and negative numbers are defined.
It is a symmetric bell-shaped distribution which can be used to represent a very large number things from every-day life. It has some very useful statistical properties.
It is because that is how they are defined.