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Q: Real number that is not rational?

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

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

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.

Related questions

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.

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

Yes, 34 is a real and rational number

Real number, Rational Number

Every integer is also a rational number and a real number.

Infinitely rarely, a real number is also a rational number. (There are an infinite number of rational numbers, but there are a "much bigger infinity" of real numbers.)

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.