Orderof operations
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The document discusses evaluating expressions using the proper order of operations. It provides the mnemonic device PEMDAS (Parentheses, Exponents, Multiply, Divide, Add, Subtract) to remember the correct sequence. Several examples are worked through step-by-step to demonstrate applying the order of operations. The objective is for students to be able to evaluate expressions like 7 + 4 * 3 as 19, not 33, by following PEMDAS.
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This document describes properties of two-dimensional and three-dimensional shapes. It defines key terms like faces, edges, vertices, parallel and perpendicular lines. It then discusses properties of common 3D shapes like cubes, cuboids, spheres, pyramids and cylinders. It notes which shapes have some perpendicular/parallel faces and edges. The document also covers types of 2D shapes including polygons, quadrilaterals, circles and triangles.
Orderofoperations 201217015040
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3) Do multiplication and division from left to right.
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Orderof operations
- 1. use the order of operations to evaluate expressions. Objective The student will be able to: Designed by Skip Tyler, Varina High School
- 2. Evaluate 7 + 4 • 3. Is your answer 33 or 19? You can get 2 different answers depending on which operation you did first. We want everyone to get the same answer so we must follow the order of operations.
- 3. Remember the phrase “Please Excuse My Dear Aunt Sally” or PEMDAS. ORDER OF OPERATIONS 1. Parentheses - ( ) or [ ] 2. Exponents or Powers 3. Multiply and Divide (from left to right) 4. Add and Subtract (from left to right)
- 4. Once again, evaluate 7 + 4 3 and use the order of operations. = 7 + 12 (Multiply.) = 19 (Add.)
- 5. Example #1 14 ÷ 7 • 2 - 3 = 2 • 2 - 3 (Divide l/r.) = 4 - 3 (Multiply.) = 1 (Subtract.)
- 6. Example #2 3(3 + 7) 2 ÷ 5 = 3(10) 2 ÷ 5 (parentheses) = 3(100) ÷ 5 (exponents) = 300 ÷ 5 (multiplication) = 60 (division)
- 7. Example #3 20 - 3 • 6 + 102 + (6 + 1) • 4 = 20 - 3 • 6 + 102 + (7) • 4 (parentheses) = 20 - 3 • 6 + 100 + (7) • 4 (exponents) = 20 - 18 + 100 + (7) • 4 (Multiply l/r.) = 20 - 18 + 100 + 28 (Multiply l/r.) = 2 + 100 + 28 (Subtract l/r.) = 102 + 28 (Add l/r.) = 130 (Add.)
- 8. Which of the following represents 112 + 18 - 33 · 5 in simplified form? 1. -3,236 2. 4 3. 107 4. 16,996 Answer Now
- 9. Simplify 16 - 2(10 - 3) Answer Now 1. 2 2. -7 3. 12 4. 98
- 10. Simplify 24 – 6 · 4 ÷ 2 Answer Now 1. 72 2. 36 3. 12 4. 0
- 11. 1. substitute the given numbers for each variable. 2. use order of operations to solve. Evaluating a Variable Expression To evaluate a variable expression:
- 12. Example # 4 n + (13 - n) 5 for n = 8 = 8 + (13 - 8) 5 (Substitute.) = 8 + 5 5 (parentheses) = 8 + 1 (Divide l/r.) = 9 (Add l/r.)
- 13. Example # 5 8y - 3x2 + 2n for x = 5, y = 2, n =3 = 8 2 - 3 52 + 2 3 (Substitute.) = 8 2 - 3 25 + 2 3 (exponents) = 16 - 3 25 + 2 3 (Multiply l/r.) = 16 - 75 + 2 3 (Multiply l/r.) = 16 - 75 + 6 (Multiply l/r.) = -59 + 6 (Subtract l/r.) = -53 (Add l/r.)
- 14. What is the value of -10 – 4x if x = -13? Answer Now 1. -62 2. -42 3. 42 4. 52
- 15. What is the value of 5k3 if k = -4? Answer Now 1. -8000 2. -320 3. -60 4. 320
- 16. What is the value of if n = -8, m = 4, and t = 2 ? Answer Now t mn2 1. 10 2. -10 3. -6 4. 6