The following is a listing of real numbers:
|Natural||1, 2, 3, 4, …|
|Whole||0, 1, 2, 3, 4, …|
|Integers||… -4, -3, -2, -1, 0, 1, 2, 3, 4, …|
|Rational||Any number that can be written in the form of p/q, where p and q are integers and q ≠ 0.|
|Irrational||Any real number that is not rational.|
- Every natural number is a whole number.
- Every whole number is an integer.
- Every integer is a rational number.
- All real numbers can be written in decimal form.
- Rational numbers in decimal form are either terminating or repeat forever.
- Irrational numbers are decimals that never terminate or repeat.
- Integers are rational numbers because they can be written in the form:
|Terminating Example||.15, .128|
|Repeating Example||1.33, 4.7234|
Irrational numbers are decimals that never terminate or repeat. An example would be π (pi).