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.
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.
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.
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.