# Is every rational number an integer?

Apr 11, 2015

Every integer is a rational number, but not every rational number is an integer.

Integers include zero, all counting numbers, and all negatives of counting numbers:
$. . . - 2 , - 1 , 0 , 1 , 2 , 3 , e t c$

Rational numbers are numbers that can be expressed as fractions:
$\ldots \frac{1}{6} , \frac{2}{5} , \frac{3}{4} , \frac{1}{3} , \frac{1}{2} , e t c$

All integers can be expressed as rational numbers if you put them over $1$:
$- \frac{2}{1} , - \frac{1}{1} , \frac{0}{1} , \frac{1}{1} , \frac{2}{1}$