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Yes. Rational numbers are always the quotient of two integers. Integers are always real, and you cannot divide a real number by another real number and get an imaginary number. So, true.

Q: Is every rational number a real number true or false?

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Every integer is also a rational number and a real number.

No

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.

Yes every irrational and rational number is a real number.

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

Related questions

False.

Yes it is, but not every real number is a rational number

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

Every rational number.

Every integer is also a rational number and a real number.

No

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.

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

Yes every irrational and rational number is a real number.

Yes.

No. 3.6427 is real and rational, but not a counting number.

Yes, it is.