The Set of Real Numbers

Real Numbers:

{1, 2, 3, 4, ... } Natural numbers, counting numbers, and positive integers

{0, 1, 2, 3, ...} Whole numbers, nonnegative integers

{..., -3, -2, -1} Negative integers

{..., -1, 0} Nonpositive integers

{..., -1, 0, 1, ...}   Integers

a/b Let a and b are integers, then a/b is a Rational Number (can be either a terminating or repeating decimal).

i.e. √2, π Irrational numbers are nonrepeating and nonterminating decimals.

Terms:

Repeating decimal or recurring decimal: a fraction with a prime denominator; a number, that when expressed in the decimal numeric system, at some point the same sequence of digits repeat infinitely-many times. i.e. 1/3=0.333... said as "0.3 repeating"

Terminating decimal represents a rational number that when represented in the decimal numeric system, its decimal at some point ends. i.e. 0.25