Problem+Set+1


 * Ideas and discussions for Problem Set #1 **

**Anthony Meades wrote:** Regarding the four fours, i was only able to come up with the prime numbers 7,11,17,and 19 using 4 to the power of zero. Debated this use with a few class mates as if this is outside the rules of the excercise as i was using a zero. My logic was that the number four itself is to the exponent one, albeit invisible, so using exponent zero is equally OK, Any thoughts?

Interesting idea which begs the question at what grade level you would expect students to be able to use 4^0 in __**their**__ solutions. If you consider the age appropriateness of your solutions, you may want to arrange them into, for example, three age levels, representing basic arithmatic, parenthesis, more advanced functions. Get the idea?
 * Adrian wrote:**

Kirsten commented: //I had to resort to factorials, repeated 4's in a number (i.e., 44), and square root. I assume that square root is allowed - although there is an implicit "2"//