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Q: Is every real number is either a rational number or an irrational number?

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Integers are rational. In the set of real numbers, every number is either rational or irrational; a number can't be both or neither.

No. It could be a rational or an irrational

Yes. A real number is any comprehendable number, from negative infinity to positive infinity. A rational number is any number that can be the answer to a division equation; an integer, fraction, or a decimal. An irrational number is any number that cannot be expressed as a fraction; such as exponents.

The set of real numbers is defined as the union of all rational and irrational numbers. Thus, the irrational numbers are a subset of the real numbers. Therefore, BY DEFINITION, every irrational number is a real number.

No. An irrational number is one that is not a rational number. A rational number is once that equals one integer divided by another. So an irrational number cannot be represented by one integer divided by another integer, so it cannot be an integer!

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There is no such thing as a number that is both rational and irrational. By definition, every number is either rational or irrational.

Integers are rational. In the set of real numbers, every number is either rational or irrational; a number can't be both or neither.

Yes.

Any, and every, irrational number will do.

When a rational numbers is divided by an irrational number, the answer is irrational for every non-zero rational number.

Every whole number is rational.

Every time. No exceptions.

No irrational number can turn into a rational number by itself: you have to do something to it. If you multiply any irrational number by 0, the answer is 0, which is rational. So, given the correct procedure, every irrational number can be turned into a rational number.

Every whole number is rational.

No. It could be a rational or an irrational

No because they are rational numbers

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

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