Consider the expression $7+3·4+2$.   

1. What movements does this represent for Cecil walking on his tightrope? Draw a diagram to show his movements and the length of his walk.

   Hint (a):

   Which of the lengths does Cecil repeat? How many times does he repeat it?

   More Help (a):

   If you were to write the expression using only addition, it would look like this:
   $7+4+4+4+2$

2. How many different answers can you get by grouping differently? Add parentheses to the expression $7+3·4+2$ to create new expressions with as many different values as possible.

   Hint (b):

   Add parentheses to any possible place in the expression. Remember to evaluate each expression for its value.

   Answer (b):

   One possible solution to this problem is $7+3(4+2)=25$. In total, there are four answers possible for adding parentheses to this expression.
   Can you find all of them?