You are given four 4's. Write expressions equal to the numbers 0 through 10, using only the four 4's and the operations of addition, subtraction, multiplication, or division.
For example, 1 = (4  4) + (4 / 4).
The rest are up to you.
Hint: Just start playing around, being sure to monitor your use of parentheses to control the order of operations.
Solution Commentary: Multiple solutions exist for many of the cases, and I reward students for new variations being as good as the first solutions proposed.
Some possibilities for some of the numbers (i.e. the powers of 2) are:
 0 = (4  4) * (4 + 4)
 1 = (4  4) + (4 / 4)
 2 = (4 / 4) + (4 / 4)
 4 = 4 + (4  4) * 4

 8 = (4 / 4) * (4 + 4)
You can find the rest....but be prepared to undergo an "intution adjustment" in order to get an expression equal to the number 10...which is one reason I always enjoy giving this problem.