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Are all real numbers rational numbers?

Updated: 4/28/2022
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Wiki User

13y ago

Best Answer

No. For example, pi is a real number, but it is irrational (it cannot be converted into an exact fraction).

The reverse is true, however: all rational numbers are also real numbers.

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Wiki User

13y ago
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Wiki User

12y ago

I think not . Only whole , natural , integers , and real number are real .

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Wiki User

13y ago

No.

For example:

  • sqrt(2) is not rational;
  • the ratio of the diameter of a circle to its circumference (pi) is not rational.
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Wiki User

9y ago

Not all number are rational. Pie is a number but is irrational.

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Wiki User

13y ago

no.

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maddy z

Lvl 2
3y ago

No

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Q: Are all real numbers rational numbers?
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Related questions

Are all real numbers a rational numbers?

Yes. Rational numbers are numbers that can be written as a fraction. All rationals are real.


What rational numbers are real numbers?

All rational numbers are real numbers.


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.


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.


Is -3 a Real or rational or irrational or integer or whole or counting?

-3 is a real, rational, whole integer. But then, -- All integers are real rational whole numbers. -- All whole numbers are real rational integers. -- All rational numbers are real. -- All counting numbers are real, rational, whole integers.


Are some rational numbers are not real numbers?

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


What are example of both real and rational numbers?

All rational numbers are examples of numbers which are both rational and real.


All rational and irrational numbers are?

All rational and irrational numbers are real numbers.


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.


Real numbers are not rational numbers?

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 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.