Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 1 - Section 1.3 - Exponents, Order of Operations, and Variable Expressions - Practice - Page 21: 2

Answer

2. $3\times2+4^{2} = 3\times2 + 16 =6+16=22$

Work Step by Step

The order of operations can be remembered with the abbreviation "PEMDAS". This abbreviation stands for,"Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction". Every operation read from left to right must be completed in such order in a problem. So in, $3\times2+4^{2} = 3\times2 + 16 = 6+16=22$ we see there are no parentheses, and complete move onto the term with the exponent $4^{2}$. Then, we move onto the two terms being multiplied, 2 and 3. After that, we add the remaining two terms. We followed the order of operations, because we completed the terms with exponents, then the terms being multiplied, and then the terms being added.
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