Explain what each of them is.

Answer:
the positive integers or whole numbers include 1, 2, 3, and etc. sometimes zero.
Whole numbers are 0, 1, 2, 3, 4, 5, 6. Whole numbers include positive integers along with 0.
17, 99, 267, 8107 and 999999999 are examples of whole numbers.
A rational number is a number that can be express as the ratio of two integers. A number that cannot be expressed that way is irrational. For example, one third in decimal form is 0.33333333333333
A real number that can NOT be made by dividing two integers (an integer has no fractional part). "Irrational" means "no ratio", so it isn't a rational number.
Example: π is an irrational number.
The real numbers include all the rational numbers, such as the integer −5 and the fraction 4/3, and all the irrational numbers, such as √2.
Included within the irrationals are the transcendental numbers, such as π