Q: What is the relationship between real number and rational number?

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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.

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

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).

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.

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

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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.

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.

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

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

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

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

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).

Decimals are real. They can be rational or irrational.

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

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.

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

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