Math Quiz: The Lt. Governor’s base

Today’s math quiz is based on this statement in a September 13, 2008  MSNBC news report:

Nevada Lt. Gov. Brian Krolicki said on stage that 10,000 people were in the crowd, but parks officials said the pavilion held only 3,500 people.”

Question: Lt. Governor Krolicki is not using the base ten number system. What base is he using?


Lieutenant Governor Krolicki is using a base between 7 and 8.

(10000 in base seven = 7^4 = 2401 in base ten)

(10000 in base eight = 8^4 = 4096 in base ten)

Bonus question: Did Lieutenant Governor Krolicki make his calculation using a number system (a) from some ancient Indian tribe, or (b) from some other source of modern mathematical skills?