Change Base
Algebra
Level
pending
What is the rightmost non-zero digit of the decimal number having 2016 1's, when represented in base 9?
The answer is 8.
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
The given number can be expressed as 9 1 0 2 0 1 6 − 1 = 9 ( 9 + 1 ) 2 0 1 6 − 1 = 9 . . . . . + 2 2 0 1 6 . 2 0 1 5 . 9 2 + 2 0 1 6 . 9 + 1 − 1 . Proceeding thus, as 2 0 1 6 = ( 2 4 . 9 + 8 ) 9 , the first non-zero digit is 8.