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Rational numbers form a proper subset of real numbers. So all rational numbers are real numbers but all real numbers are not rational.

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12y ago

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What is the relationship of rational numbers and real number?

The set of rational numbers is a subset of the set of real numbers. That means that every rational number is a real number, but not every real number is rational. The square root of 2 is an example of a real number that isn't rational; that is, it can't be expressed as the quotient of two integers.


What is the relationship between irrational numbers and rational numbers?

An irrational number is a number that can't be expressed by a fraction having integers in both its numerator and denominator. A rational number can be.


Difference between real and rational number?

Rational numbers are numbers that can be written as a fraction. Real numbers are any number, including irrationals.


Is there a rational number between two real numbers?

Yes. There are infinitely many rational numbers between any two real numbers.


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.


Is a rational number a subset of the set of integers?

not necessarily... An integer is a rational number, but so is any real number between consecutive integers.


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.


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.


Every rational number is a real number?

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