No. Every real number is not a natural number. Real numbers are a collection of rational and irrational numbers.
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. 3.6427 is real and rational, but not a counting 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.
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
No. "Pi", "e", and the square root of 2 are all real and irrational.
Yes every irrational and rational number is a real number.
Every counting number, and the negative of it, are real, rational integers.