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: 26



Work Step by Step

6 - 4 (-3 + 2) The Order of Operations Agreement should be used to evaluate this expression. The first step in the order of operations is to work within grouping symbols. This is the (-3 + 2). (-3 + 2) = -1. So we place -1 in the expression. We now have 6 - 4(-1) The second step is to evaluate exponents (if we have them). There are no exponents in this expression, so we move to step 3. In this step, we multiply and divide left to right (as we come to it). 6 - 4(-1). Therefore, we have multiplication: 4(-1) = -4. Note, there is still the minus sign in front (immediately to the left of the 4. So we have: 6 - (-4). Last, we add/subtract left to right as we come to it. Starting on the left, we have 6 - (-4) {This reads six minus negative four} 6 - (-4) is the same as 6 + 4. Subtracting a negative is actually addition., so, 6 - (-4) = 6 + 4 = 10. Therefore, the expression, when evaluated corrected, using the Order of Operations, is 10; The most important thing to remember when working this problem is to use the Order of Operations Agreement correctly. Note: If you choose to use a graphing calculator to evaluate this expression, the expression may be entered into the calculator just as it is written: 6 - 4(-3 + 2). With a TI83 or TI84 calculator, this is no need to enter the actual multiplication or (if they were there) division symbols. Just be sure to put the parentheses in as they are noted/placed in the problem.
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