Jack wrote all of the digits from 1 to 5280.

What is the 3007th digit Jack wrote?

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Thanks!

MathyGoo13 Feb 25, 2021

#2**+2 **

From 1 to 9, each number takes up 1 digit.

From 10 to 99, each number takes up 2 digits. There are 90 two-digit numbers, so this makes 180 digits overall.

From 100 to 999, each number takes up 3 digits. There are 900 three-digit numbers, so this makes 2700 digits overall.

So far, we are on our 2889th digit. We now have to proceed more carefully.

From 1000 onwards, each number has 4 digits.

3007 - 4n = 2889, where n is the number of numbers we use after 1000.

n = 29.5, so we are on 1029. The second digit of 1029 is **0.**

CubeyThePenguin Feb 25, 2021