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: 28



Work Step by Step

The Expression 36 - 24 $\div$ 4 $\times$3 - 1 may be evaluated to a single value using the Order of Operations. The first step is grouping. Since there is no grouping in this expression, we move on to step 2, evaluating exponents. There are no exponents in this expression, so we may move to step 3, multiplying and dividing. We do this in one step, starting at the far left of the expression and completing division and multiplication as we come to it. 36 - 24 $\div$ 4 $\times$3 - 1 Working left to right, we come across division first, so we divide the parts indicated in the expression. Note: We have 24 $\div$ 4 first. Upon completing the division, we have: 36 - 6 $\times$ 3 - 1 Now, we still have multiplication to complete, so we can multiply 6 times 3 and get 18. Now, we have: 36 - 18 - 1 This brings us to step 4, addition/subtraction left to right as you come to it. We have 36 - 18 which is 18, and then we subtract the 1 and get the final answer of 17.
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