Order of Operations

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Order of Operations

  1. 1. 1.2: Algebraic Expressions & Models <ul><li>Goals: </li></ul><ul><li>Use the order of operations to simplify expressions </li></ul><ul><li>Substitute the value of a variable to evaluae an expression </li></ul>
  2. 2. Order of Operations <ul><li>Parenthesis/ Brackets </li></ul><ul><li>Exponents </li></ul><ul><li>Multiplication/ Division </li></ul><ul><li>Addition/ Subtraction </li></ul><ul><li>Parenthesis/Brackets </li></ul><ul><ul><li>Perform all operations inside parenthesis/brackets first when solving and equation. </li></ul></ul>
  3. 3. Order of Operations <ul><li>Parenthesis/ Brackets </li></ul><ul><li>Exponents </li></ul><ul><li>Multiplication/ Division </li></ul><ul><li>Addition/ Subtraction </li></ul><ul><li>Exponents </li></ul><ul><ul><li>Next, perform the operations that involve exponents </li></ul></ul>
  4. 4. Order of Operations <ul><li>Parenthesis/ Brackets </li></ul><ul><li>Exponents </li></ul><ul><li>Multiplication/ Division </li></ul><ul><li>Addition/ Subtraction </li></ul><ul><li>Multiplication/Division </li></ul><ul><ul><li>Thirdly, perform operations either multiplication or division (in order from left-to-right) </li></ul></ul>
  5. 5. Order of Operations <ul><li>Parenthesis/ Brackets </li></ul><ul><li>Exponents </li></ul><ul><li>Multiplication/ Division </li></ul><ul><li>Addition/ Subtraction </li></ul><ul><li>Addition/Subtraction </li></ul><ul><ul><li>The last step you perform is addition or subtraction (in order from left-to-right). </li></ul></ul>
  6. 6. Evaluate the following problems by using the order of operations: Exponents: Square 4 first Division: Take 16 divided by -2 Subtraction: Subtract -8 from 15 Addition: Add 23 and 8 together Example:
  7. 7. Evaluate the following problems by using the order of operations: Work inside the parenthesis first. Square 3 Finish simplifying the parenthesis by dividing 27 by 9 Multiplication: Multiply -3 by 5 Addition: Add 3 and -15 together Addition: Add -12 and 1 together Example:
  8. 8. Evaluating an Expression <ul><li>Substitute the values of the variables into the expressions </li></ul>Evaluate the following for when: x = 3, y = 4, and z = -2 1) 2) 3)
  9. 9. Evaluating an Expression <ul><li>Substitute the values of the variables into the expressions </li></ul>Evaluate the following for when: x = 3, y = 4, and z = -2 1) 2) 3)
  10. 10. Evaluating an Expression <ul><li>Substitute the values of the variables into the expressions </li></ul>Evaluate the following for when: x = 3, y = 4, and z = -2 1) 2) 3)
  11. 11. Evaluating an Expression <ul><li>Substitute the values of the variables into the expressions </li></ul>Evaluate the following for when: x = 3, y = 4, and z = -2 1) 2) 3)

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