Order of Operations 17. Explain the order in which you should compute the operations in the expression below. Then evaluate the expression. \( [(33 \div 3)+1]-2^{2} \) Graphing in the Coordinate Plane 18. Describe how to plot point \( A(-6,2) \) on a coordinate plane.
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The Deep Dive
The order of operations is often remembered by the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). In the expression \( [(33 \div 3)+1]-2^{2} \), first evaluate inside the parentheses: \( 33 \div 3 = 11 \), so it becomes \( [11+1]-2^{2} \). Next, calculate the exponent: \( 2^{2} = 4 \). Now it reads \( [12]-4 = 8 \). To plot the point \( A(-6,2) \) on a coordinate plane, start at the origin (0,0). Move 6 units to the left along the x-axis because of the negative value, which brings you to the point (-6,0). Then, from there, go up 2 units along the y-axis. Mark the point where you end up; that’s your point \( A(-6,2) \) and voila! You’ve got it plotted!