Answer:
B)2
Step-by-step explanation:
We want to figure out the 415th digit of this repeating decimal.
[tex] \dfrac{2}{7} = 0. \overline{285714}[/tex]
Obviously it's almost impossible and absurd to find the answer by writing down all the 415 digits. So instead we're going to use some tricks to do so.
Finding the 415th digit:
There're 6 repeating digits. dividing 415 by 6 yields 69.17. Now multiplying 69 by 6 yields 414 which means that the 414th digit of the repeating decimal would be the last digit of the repeating digits, that is,4 and hence The 415th digit of the repeating decimal is gonna be 2. Hence the answer is B
