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No. A real number is only one number whereas the set of rational numbers has infinitely many numbers. However, the set of real numbers does contain the set of rational numbers.

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โˆ™ 2011-11-05 17:57:42
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Q: Does a real number contain the set of rational numbers?
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Related questions

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.


What is the relationship between real number and rational number?

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


Why the rational number 10 is also a real number?

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


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.


Is 0 an example of a rational number that is not a real number?

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


Is a real number a rational number?

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.


Real number is a rational number?

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.


Is rational number a real number?

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


Is every real number is rational?

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


Is a real number sometimes a rational 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.)


A real number must be a rational number?

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.


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.

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