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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.

Ask by Cummings Hardy. in the United States
Jan 23,2025

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17. **Order of Operations and Evaluation** To evaluate \( [(33 \div 3) + 1] - 2^{2} \), follow these steps: 1. **Parentheses**: \( 33 \div 3 = 11 \) 2. **Addition**: \( 11 + 1 = 12 \) 3. **Exponents**: \( 2^{2} = 4 \) 4. **Subtraction**: \( 12 - 4 = 8 \) So, the expression equals **8**. 18. **Plotting Point \( A(-6, 2) \) on a Coordinate Plane** To plot point \( A(-6, 2) \): 1. Start at the origin (0,0). 2. Move 6 units to the left along the x-axis. 3. Move 2 units up along the y-axis. 4. Mark the intersection as point \( A(-6, 2) \). This places point \( A \) in the correct position on the 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!

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