Why do we need to distinguish between rational and irrational numbers? What’s the importance of knowing where they fall between the two?

Question

Why do we need to distinguish between rational and irrational numbers? What’s the importance of knowing where they fall between the two?

In: Mathematics

Answer 1

1/4 is a rational number – 1/3 is an irrational number. Why?

Because 1/4=0,25 and thus the value is complete, while if you say 1/3= you get 0,333333 but that isnt the complete answer, cause you can always add more 3’s.