Sets of Numbers

Sets of Numbers

Natural numbers or counting numbers

{1, 2, 3, 4, 5, 6, . . . }

Whole numbers {0, 1, 2, 3, 4, 5, 6, . . . }

Integers {. . . , 23, 22, 21, 0, 1, 2, 3, . . . }

Rational numbers $\left \{ \frac{p}{q} \mid$ p and q are integers, $q \neq 0 \right \}$

Examples: , 1.3, or $\frac{4}{3}$ .

Irrational numbers {x | x is a real number that is not rational}

Examples: $\sqrt{3}$

Real numbers {x | x is represented by a point on a

number line}*