Basic College Mathematics (10th Edition)

Published by Pearson
ISBN 10: 0134467795
ISBN 13: 978-0-13446-779-5

Chapter 1 - Whole Numbers - 1.8 Exponents, Roots, and Order of Operations - 1.8 Exercises - Page 81: 89

Answer

$$ \\ 8 \cdot 2+6 - 5\sqrt{16} + 6-5 =3$$

Work Step by Step

Orders of operations can be recalled using the acronym PEDMAS. This means that parenthesis are always the first order of operations. This is followed by exponents (or square roots), division, multiplication, addition, and subtraction, in that order. If there is a tie, we move left to right. In this problem, we remove parenthesis and/or square roots so that the order of operations changes so that the number 3 results. Doing this, we find: $$ 8 \cdot (2+6) - 5\sqrt{16} + 6-5 \\ \text{Removing parenthesis:} \\ 8 \cdot 2+6 - 5\sqrt{16} + 6-5 =3$$
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