Republic of Mathematics blog

Archive for November 2010

Why, when we round n+sqrt(n), do we never get a square?

Posted by: Gary Ernest Davis on: November 28, 2010

Jim Tanton (@jamestanton) Tweeted recently that for a positive integer , rounded to the nearest integer, is never the square of an integer. This certainly seems to be borne out by a few calculations (carried out in Excel, using the built-in “round’ function): n n+sqrt(n) round(n+sqrt(n)) 1 2 2 2 3.414213562 3 3 4.732050808 5 […]

How much rice and how much water?

Posted by: Gary Ernest Davis on: November 28, 2010

My wife, Linda, and I bought some Jansal Vallley Farm jasmine rice from Sid Wainer & Sons. It’s fine rice, and like most fine foods from Sid Wainer & Sons, not cheap. The instructions on the rice packet say add cups of water to every cup of rice. Linda found that this was too much […]