Rational Numbers And Irrational Numbers Are In The Set Of Real Numbers. For example 0 5784151727272 is a real number. A rational number is a number that can be written as a ratio of two integers.
As q was arbitrary every rational numbers are boundary points of irrational numbers. Irrational numbers a 0 3333333333 is a repeating decimal and 5 16 is a terminating decimal could be nonterminating when written in decimal form numbers that cannot be written as the ratio of two integers and includes nonrepeating and nonterminating decimals. If we include all the irrational numbers we can represent them with decimals that never terminate.
The numbers you would have form the set of rational numbers.
When we put together the rational numbers and the irrational numbers we get the set of real numbers. As q was arbitrary every rational numbers are boundary points of irrational numbers. Figure 7 1 1 illustrates how the number sets are related. Set of real numbers venn diagram examples of rational numbers.