Answer :
Answer:
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 [tex]\frac{A}{B}[/tex], so the set of rational numbers includes the integers. Some examples are: [tex]\frac{1}{2}[/tex], [tex]\frac{-5}{3}[/tex], [tex]\frac{13}{1}[/tex], ... Since -17 can be represented as a fraction([tex]\frac{-17}{1}[/tex]) It is a rational number.
- Irrational numbers are those that have non-periodic infinite decimals, such as [tex]\pi[/tex], [tex]e[/tex], 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.