Question

What is the 100th digit to the right of the point in 4/37

Answer 1

Answer: 1

Explanation:

If we divide 4 by 37 we have:

`(4)/(37)=0.108108108108108108` ...and more
`108` again and again...

This means that after the decimal point there are three digits (1, 0 and 8) that repeat infinitely. In addition, let's note the following:

`8` is in the 3rd position after the decimal point, then it repeats in the 6th, then in the 9th, then in the 12nd...and so on.

Can you see the pattern?

`8` is present in positions that are divisible by
`3`. So, we have to find the closest position to 100th that is multiple of
`3`:

It is the 99th position

Hence the 99th digit is also
`8` and the next digit (the 100th) is
`1`.