If you write down all the numbers from 1 to 500 what will be the 1000th digit that you write?

Step-by-step explanation:

The numbers 1 to 9 are 9 digits

The numbers 10 to 99 are 90*2 = 180 digits.

You have written 189 digits and must write another 1000 - 189 = 811 digits.

Every number from 100 to 500 have 3 digits.

811/3 = 270 1/3

So you write 270 numbers: 100 to 369

And then you will write the first number from 370 (the 1000th digit). This digit is 3.