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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.

 Dec 20, 2020
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including the original expression there are 4  different values possible.

 Feb 11, 2021

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