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Order of Operations

Order of Operations. How to solve equations like: 3 + (4 * 5) / 2. Order of Operations. P lease E xcuse M y D ear A unt S ally. P lease Parentheses E xcuse Exponents M y D ear Mulitiplication and Division from left to right A unt S ally Add and Subtract from left to right.

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Order of Operations

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  1. Order of Operations How to solve equations like: 3 + (4 * 5) / 2

  2. Order of Operations Please Excuse My Dear Aunt Sally

  3. Please Parentheses Excuse Exponents My Dear Mulitiplication and Division from left to right Aunt Sally Add and Subtract from left to right

  4. Solving 3 + (4 * 5) / 2 Please Parentheses 3 + (4 * 5) / 2 The 4 * 5 is in parentheses, so this gets done first. 4 * 5 = 20 Our equation simplifies to 3 + 20 / 2

  5. Solving 3 + (4 * 5) / 2 3 + 20 / 2 Excuse Exponents There are no exponents, so we go on.

  6. Solving 3 + (4 * 5) / 2 3 + 20 / 2 My Dear Mulitiplication and Division from left to right 20 / 2 = 10 Our equation simplifies to 3 + 10

  7. Solving 3 + (4 * 5) / 2 3 + 20 / 2 3 + 10 Aunt Sally Add and Subtract from left to right 3 + 10 13

  8. Solving 3 + (4 * 5) / 2 3 + 20 / 2 3 + 10 13 13 is the final answer!

  9. Use the order of operations to solve: 10 + 32 * (8 – 3) + 7

  10. Solving 10 + 32 * (8 – 3) + 7 Please Parentheses 8 – 3 = 5 Our equation simplifies to 10 + 32 * 5 + 7

  11. Solving 10 + 32 * (8 – 3) + 7 10 + 32 * 5 + 7 Excuse Exponents 32 = 9 Our equation simplifies to 10 + 9 * 5 + 7

  12. Solving 10 + 32 * (8 – 3) + 7 10 + 32 * 5 + 7 10 + 9 * 5 + 7 My Dear Mulitiplication and Division from left to right 9 * 5 = 45 Our equation simplifies to 10 + 45 + 7

  13. Solving 10 + 32 * (8 – 3) + 7 10 + 32 * 5 + 7 10 + 45 + 7 Aunt Sally Add and Subtract from left to right 10 + 45 + 7 62

  14. Solving 10 + 32 * (8 – 3) + 7 10 + 32 * 5 + 7 10 + 45 + 7 62 62 is the final answer!

  15. Solve the following equations. Remember to use: Please Excuse My Dear Aunt Sally • 5 * 2 + 9 – 20 / 5 • 62 / 4 – (3 * 3) • 2 + (20 – 15)2

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