The counting numbers are written one after another without any spaces: 1234567891011121314151617181920… . What digit is in the 2020th position?

Respuesta :

Answer:

7

Step-by-step explanation:

One-digit and two-digit numbers occupy  9 + 2*90 = 189  positions.

The amount of the rest positions from 190-th  till  2020-th  is  2020 - 189 = 1831.

The number of the three-digit numbers occupying these 1831 positions is  1831%2F3 = 610.33.

It means that the positions from  190 till 2019  are occupied by the three-digit numbers

   100, 101, 102, . . . , 100+610-1 = 709.

Hence, the digit in 2020 position is  "7",  the first digit of the number  710