The expression\(23-4\cdot7-5\) is equal to -10 However, we can obtain values different than -10 by inserting a single set of parentheses. For example, we can insert parentheses around 23-4 and get:
\(\begin{align*} (23-4)\cdot7-5.\end{align*}\)
Find how many values can be obtained in total in this way, including -10.
Note: inserting parentheses so there is implied multiplication is not allowed. For example:
\(2(3-4\cdot7)-5\)
should not be counted.
