Problem of the Week

April 26, 2008

Problem of the Week: MATHBYJOE  
 
Here is your problem of the week to work that beautiful 
muscle called the brain. Remember: for those of you who 
submit a correct answer, you will be eligible for discounts 
on my collection of ebooks, as well as recognition on my 
website. So good luck, and here's to problem solving.  
Remember, you must work your brain in order that it get 
stronger.  
 
Scientific research done at Stanford University has shown 
that regular mental exercise, such as that performed in 
doing brain teasers, riddles, and the like, improves 
cognitive functioning and brain health. Come work out your 
brain with these fascinating problems and brain teasers.  
 
For the solution, join my free newsletter by clicking on 
the Newsletter Tab. Then email me to let me know. Once I 
receive confirmation that you have joined my newsletter, I 
will send you the solution.  
 
The solution of last week is as follows: the next 
palindromic number is 89111198, which is 11000 more than 
the previous one of 89100198.  
 
Now for this week: irrational numbers are numbers that 
cannot be expressed in the form a/b, where a and b are both 
integers. When written as decimals, irrational numbers have 
decimal representations that do not repeat and do not 
terminate. Give two examples of an irrational number by 
illustrating a decimal representation which neither repeats 
nor terminates.