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 15: 58



Work Step by Step

$4^{2}-5\times(2+1)=1$ Solve this equation by following the steps of PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction). 1. PEMDAS tells us to solve the parenthesis in the equation first. $(2+1)=3$. Now the equation looks like this: $4^{2}-5\times3=1$. 2. The next step is to solve the exponent. $4^{2}= 16$. This simplifies the equation to $16-5\times3=1$. 3. Now we perform multiplication. $5\times3=15$, further simplifying the equation to $16-15=1$. 4. There is no division or addition in the equation, so the last step is subtraction. $16-15=1$, which makes $1=1$. By using PEMDAS, we were able to successfully solve the left side of the equation, proving it is equal to the right side of the equation.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.