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The real numbers.

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Q: What is set of irrational numbers union with rational numbers?
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Related questions

What numbers are The union of the rational and irrational numbers?

The real numbers.


Set of real number is union of?

Rational and irrational numbers


Why is every rational number a real number?

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.


A set of numbers combining rational and irrational numbers?

The Real numbers


Why does any real number must be either a rational number or an irrational number?

It is due to the fact that the set of real numbers is defined as the union of the rational and irrational numbers.


Can a number be a member of the set of rational numbers in the set of irrational numbers?

No, a number is either rational or irrational


What is a set of rational and irrational numbers?

It is the set of Real numbers.


Is the set of all irrational number countable?

No, it is uncountable. The set of real numbers is uncountable and the set of rational numbers is countable, since the set of real numbers is simply the union of both, it follows that the set of irrational numbers must also be uncountable. (The union of two countable sets is countable.)


The set of rational and irrational numbers?

ratio numbers


Set of rational and irrational numbers?

real numbers


How do you write an irrational number in algebra?

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.


Is every irrational number a real number and how?

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.