Best Answer

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

User Avatar

Wiki User

11y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: What is the relationship between real number and rational number?
Write your answer...
Still have questions?
magnify glass
Related questions

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