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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.

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Q: What is the relationship of rational numbers and real number?

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Real numbers can be rational or irrational because they both form the number line.

Both rational and irrational numbers are real numbers.

Every counting number, and the negative of it, are real, rational integers.

Negative rational numbers; Negative real numbers; Rational numbers; Real numbers. The number also belongs to the set of complex numbers, quaternions and supersets.

They are all numbers

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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.

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

Rational numbers are a proper subset of real numbers so all rational numbers are real numbers.

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.

No. All rational numbers are real. Rational numbers are numbers that can be written as a fraction.

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.

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.

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

No. Every real number is not a natural number. Real numbers are a collection of rational and irrational numbers.

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.)

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

Numbers are split into real and imaginary. Rational numbers are under the category: Real. Therefore all rational numbers are real. An irrational number is also real, but can not be expressed as a fraction.

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