Thinking Mathematically (6th Edition)

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

Chapter 5 - Number Theory and the Real Number System - 5.2 The Integers; Order of Operations - Exercise Set 5.2 - Page 270: 110



Work Step by Step

The order of operations follow the following hierarchy (PEMDAS rule): (i) Parentheses/grouping symbols (ii) Exponents (iii) Multiplication/Division, whichever comes first from the left (iv) Addition/Subtraction, whichever comes first from the left Use the rule above to obtain: $=\dfrac{-3\cdot25+89}{(-1)^2-2|-4|} \\=\dfrac{-75+89}{1-2(4)} \\=\dfrac{14}{1-8} \\=\dfrac{14}{-7} \\=-2$
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