A number theory problem by Paola Ramírez

Number Theory Level 3

Expanding 4 101 \frac{4}{101} in decimal system. What is the 200 0 s t 2000^{st} decimal digit?


The answer is 6.

Paola Ramírez by Paola Ramírez , 24, Mexico

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Mohamed Guelleh
Jun 1, 2016

4 11 \frac{4}{11} is a periodic number with 0396 repeating. All you have to do is divide 2000 by 4 and you get 500, wich means that repeating "0396" 500 times, you get to your 2000 digit, thus 6

0 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...