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Consider the expression .   

  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.

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

    If you were to write the expression using only addition, it would look like this:

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

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

    One possible solution to this problem is . In total, there are four answers possible for adding parentheses to this expression.
    Can you find all of them?

Use the following eTool to plot the integers.
Click the link at right for the full version of the eTool: