A real number is any continuous quantity which can be represented as a point on a one-dimensional line. Real numbers are used for measuring properties of objects and phenomena in the natural and social world.
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Because irrational numbers are defined as all real numbers which are not rational.
Because irrational numbers are defined as real numbers which are not rational.
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 due to the fact that the set of real numbers is defined as the union of the rational and irrational numbers.
Yes but only if the denominator is 0 (so the quotient is not defined).