Question

What is in between 20 and 21?

Answer 1

`20.5`

Explanation:

`(20+21)/2=41/2=20.5`

Answer 2

An infinite number of values

Explanation:

There are an infinite number of values sitting between 20 and 21.

Consider this - think of a proper fraction (one where the numerator is less than the denominator) - now add that to 20 and you have a number that is more than 20 but less than 21. A few examples:

`20 1/100, 20 1/10, 20 1/2, 20 4/5, 20 99/100` and so on.

We can also look at this problem using decimals. I can write:

`20.1, 20.11, 20.111, 20.1111` and so on - the list of 1s can go on forever. I can do it with 2s and 3s and and and. And that's just single repeating decimals. I can add an infinite number of irrational numbers (like the decimal portion of `pi`, so 0.141529....