Math New Drill (Level 1) : Patterns and Regularity Problem1(4) NAKANO ATTACHED TO MEIJI UNV.-2014

When 5/7 is represented in decimal, find the number of the 2014th decimal place.



Answer
2

Solution
5/7 = 07142857142----- 

One cycle is six figures of 714285. 

2014 / 6 = 335 and remainder is 4. 

Therefore, the number to be found is the  number of the 4th decimal place in one cycle which is 2.