The real numbers.
It is due to the fact that the set of real numbers is defined as the union of the rational and irrational numbers.
real numbers
The set of real numbers.
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.
The set of Real numbers.
The real numbers.
Rational and irrational numbers
There are rational numbers and irrational numbers. Real numbers are DEFINED as the union of the set of all rational numbers and the set of all irrational numbers. Consequently, all rationals, by definition, must be real numbers.
The Real numbers
It is due to the fact that the set of real numbers is defined as the union of the rational and irrational numbers.
No, a number is either rational or irrational
It is the set of Real numbers.
ratio numbers
real numbers
There is no representation for irrational numbers: they are represented as real numbers that are not rational. The set of real numbers is R and set of rational numbers is Q so that the set of irrational numbers is the complement if Q in R.
The set of real numbers.
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.