Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 1 - Some Basic Concepts of Arithmetic and Algebra - Chapter 1 Review Problem Set - Page 38: 35

Answer

$2$

Work Step by Step

We start with the given expression: $\frac{4(-7)-3(-2)}{-11}$ Order of operations states that first, we perform operations inside grouping symbols, such as parentheses, brackets, and fraction bars. Then, we simplify powers. Then, we multiply and divide from the left to the right. Then, we add and subtract from the left to the right. We follow order of operations to simplify: First, we multiply from left to right above the fraction bar: $\frac{-28-3(-2)}{-11}=\frac{-28+6}{-11}$ Then, we add above the fraction bar: $\frac{-22}{-11}$ Finally, we divide: $2$
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