Integers, rational numbers and real numbers
Explanation:
Natural numbers are those we use to count: 1, 2, 3, ... etc. So -17 is not included in this set of numbers because it is negative.Whole numbers are the natural numbers plus the zero, so -17 is also not a whole number.Integers are the whole numbers plus the negative numbers: ...- 2, -1, 0, 1, 2, 3, ... etc. So this set does include -17.Rational numbers are those that can be represented as a fraction between two integers
![\frac{A}{B}](/tpl/images/0203/0356/38734.png)
, so the set of rational numbers includes the integers. Some examples are:
![\frac{1}{2}](/tpl/images/0203/0356/9cdae.png)
,
![\frac{-5}{3}](/tpl/images/0203/0356/2baba.png)
,
![\frac{13}{1}](/tpl/images/0203/0356/53cbd.png)
, ... Since -17 can be represented as a fraction(
![\frac{-17}{1}](/tpl/images/0203/0356/e1117.png)
) It is a rational number.Irrational numbers are those that have non-periodic infinite decimals, such as
![\pi](/tpl/images/0203/0356/ad2a1.png)
,
![e](/tpl/images/0203/0356/11caa.png)
, among others. So -17 is not an irrational number.
and finally,
the real numbers is the grouping of all the aforementioned sets, so since -17 belongs to the rational numbers, it also belongs to the real numbers.