.428571428571 with the digits 4,2,8,5,7,1 repeating indefinitely in that order. What digit is in the 200th place. To the right of the decimal point?

Is the answer 8?
Please show your work.
Thanks:)

To find the digit in the 200th place to the right of the decimal point in the repeating decimal "0.428571428571...", we need to understand the pattern.

The pattern of the repeating decimal consists of 6 digits: 4, 2, 8, 5, 7, and 1. We need to determine which digit will be in the 200th place.

To do this, let's divide 200 by 6 (the length of the repeating pattern):
200 ÷ 6 = 33 remainder 2

The remainder 2 tells us that we will be on the second digit of the repeating pattern when we reach the 200th place. Therefore, the digit in the 200th place will be a 2.

So, the correct answer is 2, not 8.

To verify this, you can count manually or use a calculator to confirm that the digit in the 200th place after the decimal is indeed 2.