Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 1 - Section 1.8 - Exponents and Order of Operations - Exercise Set - Page 102: 117

Answer

The expression evaluates to $6$.

Work Step by Step

The first thing we need to simplify is to change the double negative to a positive. When we subtract a negative number, that means we add that number. $$-8 - 2 + 5 + 11$$ According to order of operations, we add or subtract the expression from left to right. We first subtract $2$ from $-8$ to get $-10$: $$-10 + 5 + 11$$ Now, we add $-10$ to $5$: $$-5 + 11$$ Finally, we add $11$ to $-5$: The expression evaluates to $6$.
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