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: 108

Answer

$-24$

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: $=[-16+(-3)^3+27]-[2^5+1-25] \\=[-16+(-27)+27]-[32+1-25] \\=(-43+27)-(33-25) \\=-16-8 \\=-16+(-8) \\=-24$
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