<?xml version="1.0" encoding="utf-8" standalone="yes"?><rss version="2.0" xmlns:atom="http://www.w3.org/2005/Atom"><channel><title>Logical Order of Operations · Maximum Mathematics</title><link>https://maximummathematics.com/books/foundational-mathematics/logic/logical-order-of-operations/index.html</link><description>Just like in the arithmetic of real numbers, there is an order we should follow when evaluating logical expressions.
For instance, in the arithmetic of real numbers, we abide by the following rules:
Parentheses $()$ Exponents Multiplication and division (left to right) Addition and subtraction (left to right) Using this scheme for evaluating arithmetic expressions, we do the following:
\[ \begin{align*} 2 - 3^2 \cdot (4 + 6 \div 2) &amp;= 2 - 3^2 \cdot (4 + 3) \\ &amp;= 2 - 3^2 \cdot 7 \\ &amp;= 2 - 9 \cdot 7 \\ &amp;= 2 - 63 \\ &amp;= -61 \end{align*} \]Here we introduce a scheme to help us determine which operations should be done in order to achieve the correct final result.</description><generator>Hugo</generator><language>en-US</language><atom:link href="https://maximummathematics.com/books/foundational-mathematics/logic/logical-order-of-operations/index.xml" rel="self" type="application/rss+xml"/></channel></rss>