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}*

 

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