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Not all real numbers are rational. Rational numbers are numbers that can be written as a fraction. Irrational Numbers cannot be expressed as a fraction.

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Q: A real number must be a rational number?
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Are real numbers rational and irrational?

The set of real numbers is divided into rational and irrational numbers. The two subsets are disjoint and exhaustive. That is to say, there is no real number which is both rational and irrational. Also, any real number must be rational or irrational.


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.


Is 1.68 a real number and why?

Yes, because it can be located on a number line.


Why are numbers not rational?

Most numbers ARE rational. For instance all the integers and most real numbers are rational numbers. To be an irrational number a real number must be impossible to express as a ratio of integers.


If a number is a real number then is it a rational number?

Not necessarily. All rational numbers are real, not all real numbers are rational.


Is a real number always sometimes or never a rational number?

Sometimes. The number '4' is real and rational. The number 'pi' is real but not rational.


Are there real number that are not rational number?

A real number dosen't have to be a rational number as a real number can be rational or irrational i.e the root of 2 is irrational and real. So is (pi).


Is a decimal a considered a real number and a rational number?

Decimals are real. They can be rational or irrational.


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.


Is -3 a rational number and a real number?

Yes. -3 is both rational and real. -3 is an integer. All integers are rational numbers. All rational numbers are real numbers. Thus -3 is a rational number and a real number.


Can a real number that is not a rational number is a?

A real number which is not a rational number is an irrational number.


Every rational number is a real number?

Yes it is, but not every real number is a rational number