Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 1 - Foundations for Algebra - 1-2 Order of Operations and Evaluating Expressions - Practice and Problem-Solving Exercises - Page 14: 53


No, you do not get the same answer if you do the operations in a different order.

Work Step by Step

$(1+5)^{2}-(18\div3)$ -To solve this correctly you must follow PEMDAS (Parenthesis, Exponents, Multiplication, Division, Subtraction). 1. The first step is to solve what is inside the parenthesis. $(1+5)=6$ and $(18\div3)=6$. This simplifies the equation to $6^{2}-(6)$. 2. Next, we must solve the exponents. $6^{2}=36$. This further simplifies the equation to $36-6$. 3. The final step is to subtract $36-6$, leaving us with $30$. The correct answer to this problem is $30$. If you do not follow the order of operations, you will get a different answer. For example, if you were to distribute the exponent before solving the parenthesis, you would get $(1+25)-(18\div3)$. This would significantly change your final answer as you would get $(1+25)-6$, leaving you with an incorrect answer of $20$. This proves that solving a problem while applying PEMDAS in a different order will leave you with an incorrect answer.
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