| counting numbers | also called natural numbers, the numbers 1, 2, 3, 4, ... |
| integers | the numbers …, -3, -2, -1, 0, 1, 2, 3,… |
| irrational numbers | numbers between integers that cannot be written as a ratio of integers (that is, as |
| natural numbers | also called counting numbers, the numbers 1, 2, 3, 4, … |
| rational numbers | numbers that can be written as a ratio of integers (that is, as |
| real numbers | the set of numbers that includes both rational numbers and irrational numbers. |
| repeating decimals | numbers whose decimal parts repeat a pattern of one or more digits, these are all rational numbers |
| whole numbers | the numbers 0, 1, 2, 3, …., or all natural numbers plus 0 |
where p and q are both integers), the decimal representation of an irrational number is non-repeating and non-terminating
where p and q are both integers and q ≠ 0)