Yes.
No. Every real number is not a natural number. Real numbers are a collection of rational and irrational numbers.
No. 3.6427 is real and rational, but not a counting number.
No, a real number could also be a rational number, an integer, a whole number, or a natural number. Irrational numbers fall into the same category of real numbers, but every real number is not an irrational number.
No. There are several real numbers that are not rational (e.g. pi). However, every rational number is also a real number. In general, whole numbers/natural numbers is a subset of the integers (i.e. every whole number is an integer), the integers is a subset of the rationals, the rationals are a subset of the real numbers. I think the real numbers are a subset of the complex numbers, but I'm not 100% positive on that.
Yes.
Every integer is also a rational number and a real number.
Yes, it is.
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.
Numbers are split into real and imaginary. Rational numbers are under the category: Real. Therefore all rational numbers are real. An irrational number is also real, but can not be expressed as a fraction.
Every rational number.
False.
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.
No. "Pi", "e", and the square root of 2 are all real and irrational.