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Order of Operations

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Transcript

  • 1. 1.2: Algebraic Expressions & Models
    • Goals:
    • Use the order of operations to simplify expressions
    • Substitute the value of a variable to evaluae an expression
  • 2. Order of Operations
    • Parenthesis/ Brackets
    • Exponents
    • Multiplication/ Division
    • Addition/ Subtraction
    • Parenthesis/Brackets
      • Perform all operations inside parenthesis/brackets first when solving and equation.
  • 3. Order of Operations
    • Parenthesis/ Brackets
    • Exponents
    • Multiplication/ Division
    • Addition/ Subtraction
    • Exponents
      • Next, perform the operations that involve exponents
  • 4. Order of Operations
    • Parenthesis/ Brackets
    • Exponents
    • Multiplication/ Division
    • Addition/ Subtraction
    • Multiplication/Division
      • Thirdly, perform operations either multiplication or division (in order from left-to-right)
  • 5. Order of Operations
    • Parenthesis/ Brackets
    • Exponents
    • Multiplication/ Division
    • Addition/ Subtraction
    • Addition/Subtraction
      • The last step you perform is addition or subtraction (in order from left-to-right).
  • 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. 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. Evaluating an Expression
    • Substitute the values of the variables into the expressions
    Evaluate the following for when: x = 3, y = 4, and z = -2 1) 2) 3)
  • 9. Evaluating an Expression
    • Substitute the values of the variables into the expressions
    Evaluate the following for when: x = 3, y = 4, and z = -2 1) 2) 3)
  • 10. Evaluating an Expression
    • Substitute the values of the variables into the expressions
    Evaluate the following for when: x = 3, y = 4, and z = -2 1) 2) 3)
  • 11. Evaluating an Expression
    • Substitute the values of the variables into the expressions
    Evaluate the following for when: x = 3, y = 4, and z = -2 1) 2) 3)