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.
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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.