SOLUTION: Find the smallest positive integer $B$ so that when we express the decimal number $100$ as a base $B$ number, we still get a $2$-digit number.

Algebra ->  Decimal-numbers -> SOLUTION: Find the smallest positive integer $B$ so that when we express the decimal number $100$ as a base $B$ number, we still get a $2$-digit number.      Log On


   

Question 1207582: Find the smallest positive integer $B$ so that when we express the decimal number $100$ as a base $B$ number, we still get a $2$-digit number.
Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


I'm wondering if you have stated the problem correctly; as stated, the solution is simple.

100 is the smallest 3-digit number in base 10. It will have fewer than 3 digits if it is expressed in any base greater than 10.

The smallest positive integer greater than 10 is 11.

ANSWER: 11