An integer is a counting number (1, 2, 3, 4… and so on), zero, or the negative of a counting number (-1, -2, -3, -4, and so on). What I’m calling “counting numbers” here are more properly called *natural numbers* in math, but you may not be familiar with the term.
A rational number is a number that can be written as a fraction, where both the top and bottom values are integers. Put another way, a rational number can be gotten by dividing one integer by another. 1/2 is a rational number, but not an integer. 7 is both, since it’s both an integer and can be written as 7/1 (where both 7 and 1 are integers). All integers are rational numbers, but most rational numbers are not integers.
An irrational number is a (real) number that is not a rational number. The best known examples are pi and the square root of 2, neither of which is equal to any fraction with only integers in it.
Latest Answers