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Order of Operations

Order of Operations. Objective: I will evaluate expressions involving two or more operations. Order of Operations Parenthesis Please Exponents Excuse Multiply Go from My Divide left to right Dear Add Go from Aunt Subtract left to right Sally **PEMDAS.

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Order of Operations

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  1. Order of Operations Objective: I will evaluate expressions involving two or more operations

  2. Order of Operations Parenthesis Please Exponents Excuse Multiply Go from My Divide left to right Dear Add Go from Aunt Subtract left to right Sally **PEMDAS

  3. 3. 10 x 3 + 3 3PEMDAS • 10 x 3 + 3 3PEMDAS • 3 3 = 3(3)(3) • 9 (3) • 27 • 10 x 3 + 27 PEMDAS • 30 + 27 PEMDAS • 57 Practice…evaluate the expression • 50 + 10 x 5 PEMDAS 50 + 10 x 5 PEMDAS 50 + 50 PEMDAS 100 • 2. 5 + 6 x 5PEMDAS • 5 + 6 x 5 PEMDAS • 5 + 30 PEMDAS • 35

  4. 6. (4 + 1) 2 ∙ 3 PEMDAS • (4 + 1)2 ∙ 3 PEMDAS • 5 2∙ 3 PEMDAS • 5 2 = 5(5) = • 25 ∙ 3PEMDAS • 75 • 1 • 25 • X 3 • 75 4. 12 – 7 + 3 – 6 LEFT 12 – 7 + 3 – 6 TO 5 + 3 – 6 RIGHT! 8 – 6 2 • 5. 4 (8-5) PEMDAS • 4 (8-5)PEMDAS • 4 (3)PEMDAS • 12

  5. 7. 20 - 4 2 ÷ 2 PEMDAS 4 2= 4(4) = 16 PEMDAS 20 – 16 ÷ 2 PEMDAS 20 – 8 PEMDAS 12 • GO FROM LEFT TO RIGHT! • 8. 54 ÷ 9 ÷ 3PEMDAS • 54 ÷ 9 ÷ 3 PEMDAS • 6 ÷ 3 PEMDAS • 2

  6. 11. 13 + 7 • 2 ∙ 5 • 20 10 20 • 10 • 2 9. (1 + 6)(5 – 2) 2 PEMDAS (1 + 6)(5-2) 2PEMDAS (7)(3) 2PEMDAS 3 2 = 3(3) = (7)(9) PEMDAS 63 • 10. 4 ∙ 3 ∙ 2 3 PEMDAS • 4 ∙ 3 ∙ 2 3 PEMDAS • 2 3 = 2(2)2 • = 4(2) • 4 ∙ 3 ∙ 8 PEMDAS • 12 ∙ 8 • 96

  7. 13. 6 + 7 ∙ 4 PEMDAS • 6 + 7 ∙ 4 PEMDAS • 6 + 28 PEMDAS • 34 12. 12 + 6 3-1 18 2 18 2 9 1 28 + 6 34

  8. Variable Expression • x – 3y 3 ; x = 25, y = 2 25 – 3(2) 3 PEMDAS 2 3 = 2(2)(2) = 4(2) = 8 25 – 3(8) PEMDAS 25 – 24PEMDAS 1

  9. 2. (x + 12) ÷ 5; x = 8 (8 + 12) ÷ 5 PEMDAS (20) ÷ 5PEMDAS 4 3. x - y 2 – 2; x = 8, y = 2 8 - 2 2– 2 PEMDAS 2 2 = 2(2) 8 – 4 – 2 4 – 2 Left to Right 2

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