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<a href="http://www.flickr.com/photos/goetter/2352128932/"Photo by Raphael Goetter via Flickr
Alex and Leon enjoyed their baby sister, but they were amazed at how much work taking care of a baby could be. One particularly colicky night, everyone in the family took turns holding the baby, rocking the baby, patting her back, and walking her around before she finally succumbed to sleep.
Then Alex collapsed on the couch, and Leon sank into the recliner. They teased each other with these story problems.
2011 will be a fantastic year — or at least, a prime one! (See these posts by Gary, Pat, and James.) But as we move into the new year, it’s also a good time to look back and to look ahead: What did we accomplished last year? And what comes next?
More specifically, for bloggers:
- What did people like to read?
- How can I give them more of it?
So here is my retrospective look at the most popular blog posts of 2010, along with related blogging goals (or dreams?) for 2011.
[Photo from Wikipedia.]
So grab a partner, slip into your workout clothes, and pump up those mental muscles!
Here are the rules:
Use the digits in the year 2011 to write mathematical expressions for the counting numbers 1 through 100.
- All four digits must be used in each expression. You may not use any other numbers except 2, 0, 1, and 1.
- You may use the arithmetic operations +, -, x, ÷, sqrt (square root), ^ (raise to a power), and ! (factorial). You may also use parentheses, brackets, or other grouping symbols.
- You may use a decimal point to create numbers such as .1, .02, etc.
- Multi-digit numbers such as 20 or 102 may be used, but preference is given to solutions that avoid them.
You may use the overhead-bar (vinculum), dots, or brackets to mark a repeating decimal.
You may use multifactorials:
- (n!)! = a factorial of a factorial, which is not the same as a multifactorial
- n!! = a double factorial = the product of all integers from 1 to n that have the same parity (odd or even) as n
- n!!! = a triple factorial = the product of all integers from 1 to n that are equal to n mod 3
[Note to teachers: The bonus rules are not part of the Math Forum guidelines. They make a significant difference in the number of possible solutions, however, and they should not be too difficult for high school students or advanced middle schoolers.]