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Order of Operations Theory
![\begin{itemize}[leftmargin=*] \item[\textbf{1.}] Simplify the expression inside grouping symbols, Start with the innermost brackets first. \item[\textbf{2.}] Simplify any multiplication and division from left to right. \item[\textbf{3.}] Simplify any addition and subtraction from left to right. \end{itemize} \begin{multicols}{2} \textbf{Example 1}\\ Evaluate \(17-(4+3) x-2\)\\ \textbf{Example 1 solution}\\ \(\begin{aligned} 17-(4+3) \times-2 & =17-7 \times-2 \\ & =17--14 \\ & =17+14 \\ & =31 \end{aligned}\) \columnbreak \textbf{Example 2}\\ Evaluate \((4-(2+1))+12 \div 3\)\\ \textbf{Example 2 solution}\\ \(\begin{aligned} (4-(2+1))+12 \div 3 & =(4-3)+12 \div 3 \\ & =1+12 \div 3 \\ & =1+4 \\ & =5. \end{aligned}\) \end{multicols}](/media/u4obv0at/29802.png)
NSW Y8 Maths Working with Numbers Order of Operations
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