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.

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.

No

Yes every irrational and rational number is a real number.

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

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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.

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.

No

Yes every irrational and rational number is a real number.

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

Yes.

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

Yes, it is.