Real Numbers

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).


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