## Archive for January 1, 2011

### Welcome to 2011

An original problem to kick off the new year:

Place three operators (+, –, ×, ÷) between the digits below to make an expression equal to 2011.

1 2 3 4 5 6 7

For instance, using three + signs, you could make the expression 123 + 45 + 6 + 7, which is equal to 181.

A more standard problem to begin any new year is this:

Combine the digits of the year (in this case, 2, 0, 1, 1) to create each of the numbers 1–100. Extra credit if you can keep the digits in the same order as they appear in the year. For instance, 2

^{0}– 1 + 1 = 1 would be a way to make 1 with the digits in order, and 10 – 2 + 1 = 9 would be a way to make 9 with the digits out of order.

I hope that 2011 brings you peace, love, happiness, and lots of problems!