Respuesta :

Answer:

Integers, Terminating Decimals, Recurring Decimals, Proper and Improper Fractions.

Step-by-step explanation:

The following subset of the real number system can be written in the form [tex]\dfrac{a}{b}[/tex], b≠0.

Integers(ℤ): These are positive and negative whole numbers. For example, 5 can be written as [tex]\dfrac{5}{1}[/tex]

Terminating Decimals: These are fractions that when converted to decimal numbers have an end.

e.g. [tex]\dfrac{5}{2}=2.5[/tex]

Recurring Decimals: These are fractions that when converted to decimal numbers do not have an end.

e.g. [tex]\dfrac{8}{11}=0.727272...=0.\overline{72}[/tex]

Proper Fractions: These are fractions of the form [tex]\dfrac{a}{b}[/tex] where a<b. An examples is [tex]\dfrac{4}{5}[/tex]

Improper Fractions: These are fractions of the form [tex]\dfrac{a}{b}[/tex] where a>b. An examples is [tex]\dfrac{5}{4}[/tex]