whats the difference in rational and irrational number

Any rational number can be written as a fraction with whole numbers on top and
bottom. Some of them, but not all of them, can be written as decimals that end.

An irrational number can NOT be written as a fraction with whole numbers on top
and bottom. And in decimal form, it NEVER ends.

Any number that can be completely written down on paper with numbers is a
rational number. Like, for example, 2.7182818284590453141592653589792 .
It's long, and it's ugly. But it's completely written down with numbers, so it's a
rational number.

A rational number can be expressed as a fraction where its nominator and the denominator (different from 0) are integer numbers.

Ithink the answer is discovery verbs because they are quite similar to the verb 'discovering'