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Q: Are there real number that are not rational number?

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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.

Decimals are real. They can be rational or irrational.

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. -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.

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.)

Every rational 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.

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