If the number can be written as a ration (fraction) in [tex] \frac{a}{b} [/tex] form, it is rational.
All integers can be written in that form : for example - 7 = [tex] \frac{-7}{1} = \frac{7}{-1} = \frac{-21}{3} [/tex] and so on.
Repeaters such as .333... can also be written in fraction form. It is another lesson to explain how, but you can prove it to yourself by dividing 1 by 3
You will get repeating 3's so that means repeating three are the same as the rational number 1/3
What you cannot write as a ratio (fraction form) is a number like √5 because the answer is a number that does not repeat and keeps going on forever. There is no
exact number that when multiplied by itself gives you 5. ∨5 is irrational.
