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Order of Operations

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Order of Operations

1. 1. Order of Operations <ul><li>P lease E xcuse M y D ear A unt S ally </li></ul><ul><ul><ul><ul><li>1) Parentheses </li></ul></ul></ul></ul><ul><ul><ul><ul><li>2) Exponents </li></ul></ul></ul></ul><ul><ul><ul><ul><li>3) Multiplication and Division (left to right) </li></ul></ul></ul></ul><ul><ul><ul><ul><li>4) Addition and Subtraction (left to right) </li></ul></ul></ul></ul>Example: 3 + 4 ∙ 2 3 + 8 11
2. 2. Order of Operations <ul><li>P lease E xcuse M y D ear A unt S ally </li></ul><ul><ul><ul><ul><li>1) Parentheses </li></ul></ul></ul></ul><ul><ul><ul><ul><li>2) Exponents </li></ul></ul></ul></ul><ul><ul><ul><ul><li>3) Multiplication and Division (left to right) </li></ul></ul></ul></ul><ul><ul><ul><ul><li>4) Addition and Subtraction (left to right) </li></ul></ul></ul></ul>Example: 2 ∙ (3 + 4) 2 ∙ 7 14
3. 3. Order of Operations <ul><li>P lease E xcuse M y D ear A unt S ally </li></ul><ul><ul><ul><ul><li>1) Parentheses </li></ul></ul></ul></ul><ul><ul><ul><ul><li>2) Exponents </li></ul></ul></ul></ul><ul><ul><ul><ul><li>3) Multiplication and Division (left to right) </li></ul></ul></ul></ul><ul><ul><ul><ul><li>4) Addition and Subtraction (left to right) </li></ul></ul></ul></ul>Example: 2 ∙ 4 + 10 ÷ 5 8 ∙ + 10 ÷ 5 8 + 2 10
4. 4. Order of Operations <ul><li>P lease E xcuse M y D ear A unt S ally </li></ul><ul><ul><ul><ul><li>1) Parentheses </li></ul></ul></ul></ul><ul><ul><ul><ul><li>2) Exponents </li></ul></ul></ul></ul><ul><ul><ul><ul><li>3) Multiplication and Division (left to right) </li></ul></ul></ul></ul><ul><ul><ul><ul><li>4) Addition and Subtraction (left to right) </li></ul></ul></ul></ul>Example: 2 2 ∙ (4 - 2) + 3 2 2 ∙ 2 + 3 4 ∙ 2 + 3 8 + 3 11
5. 5. Order of Operations Example: [3 2 ∙ (6 - 3)] + 6 [3 2 ∙ 3 ] + 6 [ 9 ∙ 3] + 6 27 + 6 33
6. 6. Order of Operations Example: 2 ∙ (8 - 2) 3 ∙ 3 - 3 2 ∙ 6 9 - 3 12 6 2