Number Classification

A SET is a collection of objects whose content can be clearly determined. The objects within the set are called ELEMENTS.

The set used for counting that does not include zero or negatives. {1,2,3,4,5...}

Set used for counting which includes zero. {0,1,2,3,4,5...}

Set consisting of natural numbers, zero, and the negatives of natural numbers. {...-2,-1,0,1,2...}"Positive integers" is another term used for natural numbers.

Set that consists of all the numbers that can be expressed as a quotient, with the denominator not 0. (all fractions.)

Set of numbers whose decimal representations are neither terminating nor repeating.

All numbers that can be represented on the number line. Thus, the set of real numbers is formed by combing the rational and irrational numbers. Every real number is either rational or irrational.
See Table 1.2 (pg. 36)