Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 5 - Number Representation and Calculation - Chapter Summary, Review, and Test - Review Exercises - Page 244: 27



Work Step by Step

Evaluate 28 $\div$ (2 - $4^{2}$) Using the Order of Operations Agreement, we work withing the grouping symbols which is (2 - $4^{2}$), Continuing to follow the order of operations, $4^{2}$ is equal to four times four or 16. This gives us: 28 $\div$ (2 - 16) We then finish up the operation within the parentheses: 2 - 16 is -14. Therefore, we now have the expression reduced down to: 28 $\div$ (-14) Our last step is to perform division. Since we have a positive number divided by a negative number, our answer (following sign rules for division), is -2. (28 $\div$ (-14) = -2. Thus, our expression , when evaluated properly is equivalent to -2.
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