A real number is one with no imaginary parts, i.e. one which does not involve i, the square root of -1. Some examples of real numbers are -10, 3/4, sqrt2, e, 2.777... . However, not all of these numbers are rational numbers. A rational number is one which can be expressed in the form a/b, where a and b are integers. So of the examples above, -10, 3/4 , and 2.7777... are rational numbers, as they can be written -10/1, 3/4 and 25/9 respectively. In contrast, Irrational Numbers are those which cannot be expressed in this form, common examples of which are square roots of non-perfect squares, or important constants such as pi or e.
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
Every counting number, and the negative of it, are real, rational integers.
Yes every irrational and rational number is a real number.
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
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.
Yes.