The Order of Operations
What You'll Learn Vocabulary 1) order of operations Order of Operations  <ul><li>Evaluate numerical expressions by using t...
Some students remember the  order  by using the following mnemonic: P E M D A S lease xcuse y ear unt ally (parentheses / ...
Some students remember the  order  by using the following mnemonic: P E M D A S lease xcuse y ear unt ally (parentheses / ...
Some students remember the  order  by using the following mnemonic: P E M D A S lease xcuse y ear unt ally (parentheses / ...
Some students remember the  order  by using the following mnemonic: P E M D A S lease xcuse y ear unt ally (parentheses / ...
Some students remember the  order  by using the following mnemonic: P E M D A S lease xcuse y ear unt ally (parentheses / ...
Some students remember the  order  by using the following mnemonic: P E M D A S lease xcuse y ear unt ally (parentheses / ...
Some students remember the  order  by using the following mnemonic: P E M D A S lease xcuse y ear unt ally (parentheses / ...
Some students remember the  order  by using the following mnemonic: P E M D A S lease xcuse y ear unt ally (parentheses / ...
Some students remember the  order  by using the following mnemonic: P E M D A S lease xcuse y ear unt ally (parentheses / ...
Some students remember the  order  by using the following mnemonic: P E M D A S lease xcuse y ear unt ally (parentheses / ...
Evaluate each expression: Order of Operations  P E M D A S lease xcuse y ear unt ally
Evaluate each expression: 2(5) + 3(4 + 3) Order of Operations  P E M D A S lease xcuse y ear unt ally
Evaluate each expression: 2(5) + 3(4 + 3) 2(5) + 3(4 + 3) = 2(5) + 3(7) Order of Operations  P E M D A S lease xcuse y ear...
Evaluate each expression: 2(5) + 3(4 + 3) 2(5) + 3(4 + 3) = 2(5) + 3(7) = 10 + 21 Order of Operations  P E M D A S lease x...
Evaluate each expression: 2(5) + 3(4 + 3) 2(5) + 3(4 + 3) = 2(5) + 3(7) = 10 + 21 = 31 When more than one grouping symbol ...
Evaluate each expression: 2(5) + 3(4 + 3) 2(5) + 3(4 + 3) = 2(5) + 3(7) = 10 + 21 = 31 When more than one grouping symbol ...
Evaluate each expression: 2(5) + 3(4 + 3) 2(5) + 3(4 + 3) = 2(5) + 3(7) = 10 + 21 = 31 When more than one grouping symbol ...
Evaluate each expression: 2(5) + 3(4 + 3) 2(5) + 3(4 + 3) = 2(5) + 3(7) = 10 + 21 = 31 When more than one grouping symbol ...
Evaluate each expression: 2(5) + 3(4 + 3) 2(5) + 3(4 + 3) = 2(5) + 3(7) = 10 + 21 = 31 When more than one grouping symbol ...
Evaluate each expression: 2(5) + 3(4 + 3) 2(5) + 3(4 + 3) = 2(5) + 3(7) = 10 + 21 = 31 When more than one grouping symbol ...
Write an expression  involving division  in which  the first step  in evaluating the expression  is addition . Sample answ...
Write an expression  involving division  in which  the first step  in evaluating the expression  is addition . Sample answ...
Write an expression  involving division  in which  the first step  in evaluating the expression  is addition . Sample answ...
Finding error(s) in your calculations is a skill that you must develop. Determine which calculation is incorrect and  iden...
Finding error(s) in your calculations is a skill that you must develop. Determine which calculation is incorrect and  iden...
Credits  End of Lesson! PowerPoint created by http://robertfant.com Robert Fant
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Order of operations

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Order of operations

  1. 1. The Order of Operations
  2. 2. What You'll Learn Vocabulary 1) order of operations Order of Operations <ul><li>Evaluate numerical expressions by using the order of operations. </li></ul>
  3. 3. Some students remember the order by using the following mnemonic: P E M D A S lease xcuse y ear unt ally (parentheses / grouping symbols) (exponents) (multiplication) (division) (addition) (subtraction) Evaluate each expression: 3 + 2 • 3 + 5 Order of Operations
  4. 4. Some students remember the order by using the following mnemonic: P E M D A S lease xcuse y ear unt ally (parentheses / grouping symbols) (exponents) (multiplication) (division) (addition) (subtraction) Evaluate each expression: 3 + 2 • 3 + 5 3 + 2 • 3 + 5 = 3 + 2 • 3 + 5 Order of Operations
  5. 5. Some students remember the order by using the following mnemonic: P E M D A S lease xcuse y ear unt ally (parentheses / grouping symbols) (exponents) (multiplication) (division) (addition) (subtraction) Evaluate each expression: 3 + 2 • 3 + 5 3 + 2 • 3 + 5 = 3 + 2 • 3 + 5 = 3 + 6 + 5 Order of Operations
  6. 6. Some students remember the order by using the following mnemonic: P E M D A S lease xcuse y ear unt ally (parentheses / grouping symbols) (exponents) (multiplication) (division) (addition) (subtraction) Evaluate each expression: 3 + 2 • 3 + 5 3 + 2 • 3 + 5 = 3 + 2 • 3 + 5 = 3 + 6 + 5 = 9 + 5 Order of Operations
  7. 7. Some students remember the order by using the following mnemonic: P E M D A S lease xcuse y ear unt ally (parentheses / grouping symbols) (exponents) (multiplication) (division) (addition) (subtraction) Evaluate each expression: 3 + 2 • 3 + 5 3 + 2 • 3 + 5 = 3 + 2 • 3 + 5 = 3 + 6 + 5 = 9 + 5 = 14 Order of Operations
  8. 8. Some students remember the order by using the following mnemonic: P E M D A S lease xcuse y ear unt ally (parentheses / grouping symbols) (exponents) (multiplication) (division) (addition) (subtraction) Evaluate each expression: 3 + 2 • 3 + 5 3 + 2 • 3 + 5 = 3 + 2 • 3 + 5 = 3 + 6 + 5 = 9 + 5 = 14 15 ÷ 3 • 5 – 4 2 Order of Operations
  9. 9. Some students remember the order by using the following mnemonic: P E M D A S lease xcuse y ear unt ally (parentheses / grouping symbols) (exponents) (multiplication) (division) (addition) (subtraction) Evaluate each expression: 3 + 2 • 3 + 5 3 + 2 • 3 + 5 = 3 + 2 • 3 + 5 = 3 + 6 + 5 = 9 + 5 = 14 15 ÷ 3 • 5 – 4 2 15 ÷ 3 • 5 – 4 2 = 15 ÷ 3 • 5 – 16 Order of Operations
  10. 10. Some students remember the order by using the following mnemonic: P E M D A S lease xcuse y ear unt ally (parentheses / grouping symbols) (exponents) (multiplication) (division) (addition) (subtraction) Evaluate each expression: 3 + 2 • 3 + 5 3 + 2 • 3 + 5 = 3 + 2 • 3 + 5 = 3 + 6 + 5 = 9 + 5 = 14 15 ÷ 3 • 5 – 4 2 15 ÷ 3 • 5 – 4 2 = 15 ÷ 3 • 5 – 16 = 5 • 5 – 16 Order of Operations
  11. 11. Some students remember the order by using the following mnemonic: P E M D A S lease xcuse y ear unt ally (parentheses / grouping symbols) (exponents) (multiplication) (division) (addition) (subtraction) Evaluate each expression: 3 + 2 • 3 + 5 3 + 2 • 3 + 5 = 3 + 2 • 3 + 5 = 3 + 6 + 5 = 9 + 5 = 14 15 ÷ 3 • 5 – 4 2 15 ÷ 3 • 5 – 4 2 = 15 ÷ 3 • 5 – 16 = 5 • 5 – 16 = 25 – 16 Order of Operations
  12. 12. Some students remember the order by using the following mnemonic: P E M D A S lease xcuse y ear unt ally (parentheses / grouping symbols) (exponents) (multiplication) (division) (addition) (subtraction) Evaluate each expression: 3 + 2 • 3 + 5 3 + 2 • 3 + 5 = 3 + 2 • 3 + 5 = 3 + 6 + 5 = 9 + 5 = 14 15 ÷ 3 • 5 – 4 2 15 ÷ 3 • 5 – 4 2 = 15 ÷ 3 • 5 – 16 = 5 • 5 – 16 = 25 – 16 = 9 Order of Operations
  13. 13. Evaluate each expression: Order of Operations P E M D A S lease xcuse y ear unt ally
  14. 14. Evaluate each expression: 2(5) + 3(4 + 3) Order of Operations P E M D A S lease xcuse y ear unt ally
  15. 15. Evaluate each expression: 2(5) + 3(4 + 3) 2(5) + 3(4 + 3) = 2(5) + 3(7) Order of Operations P E M D A S lease xcuse y ear unt ally
  16. 16. Evaluate each expression: 2(5) + 3(4 + 3) 2(5) + 3(4 + 3) = 2(5) + 3(7) = 10 + 21 Order of Operations P E M D A S lease xcuse y ear unt ally
  17. 17. Evaluate each expression: 2(5) + 3(4 + 3) 2(5) + 3(4 + 3) = 2(5) + 3(7) = 10 + 21 = 31 When more than one grouping symbol is used, start evaluating within the innermost grouping symbol. Order of Operations P E M D A S lease xcuse y ear unt ally
  18. 18. Evaluate each expression: 2(5) + 3(4 + 3) 2(5) + 3(4 + 3) = 2(5) + 3(7) = 10 + 21 = 31 When more than one grouping symbol is used, start evaluating within the innermost grouping symbol. 2[5 + (30 ÷ 6) 2 ] Order of Operations P E M D A S lease xcuse y ear unt ally
  19. 19. Evaluate each expression: 2(5) + 3(4 + 3) 2(5) + 3(4 + 3) = 2(5) + 3(7) = 10 + 21 = 31 When more than one grouping symbol is used, start evaluating within the innermost grouping symbol. 2[5 + (30 ÷ 6) 2 ] 2[5 + (30 ÷ 6) 2 ] = 2[5 + (5) 2 ] Order of Operations P E M D A S lease xcuse y ear unt ally
  20. 20. Evaluate each expression: 2(5) + 3(4 + 3) 2(5) + 3(4 + 3) = 2(5) + 3(7) = 10 + 21 = 31 When more than one grouping symbol is used, start evaluating within the innermost grouping symbol. 2[5 + (30 ÷ 6) 2 ] 2[5 + (30 ÷ 6) 2 ] = 2[5 + (5) 2 ] = 2[5 + 25] Order of Operations P E M D A S lease xcuse y ear unt ally
  21. 21. Evaluate each expression: 2(5) + 3(4 + 3) 2(5) + 3(4 + 3) = 2(5) + 3(7) = 10 + 21 = 31 When more than one grouping symbol is used, start evaluating within the innermost grouping symbol. 2[5 + (30 ÷ 6) 2 ] 2[5 + (30 ÷ 6) 2 ] = 2[5 + (5) 2 ] = 2[5 + 25] = 2[30] Order of Operations P E M D A S lease xcuse y ear unt ally
  22. 22. Evaluate each expression: 2(5) + 3(4 + 3) 2(5) + 3(4 + 3) = 2(5) + 3(7) = 10 + 21 = 31 When more than one grouping symbol is used, start evaluating within the innermost grouping symbol. 2[5 + (30 ÷ 6) 2 ] 2[5 + (30 ÷ 6) 2 ] = 2[5 + (5) 2 ] = 2[5 + 25] = 2[30] = 60 Order of Operations P E M D A S lease xcuse y ear unt ally
  23. 23. Write an expression involving division in which the first step in evaluating the expression is addition . Sample answer: 2 + 4 ÷ 3 Order of Operations
  24. 24. Write an expression involving division in which the first step in evaluating the expression is addition . Sample answer: 2 + 4 ÷ 3 Order of Operations How can you “force” the addition to be done before the division?
  25. 25. Write an expression involving division in which the first step in evaluating the expression is addition . Sample answer: 2 + 4 ÷ 3 ( ) Order of Operations How can you “force” the addition to be done before the division?
  26. 26. Finding error(s) in your calculations is a skill that you must develop. Determine which calculation is incorrect and identify the error . Order of Operations 3[4 + (27 ÷ 3)] 2 = 3(4 + 9 2 ) = 3(4 + 81) = 3(85) = 255 3[4 + (27 ÷ 3)] 2 = 3(4 + 9) 2 = 3(13) 2 = 3(169) = 507
  27. 27. Finding error(s) in your calculations is a skill that you must develop. Determine which calculation is incorrect and identify the error . Order of Operations 3[4 + (27 ÷ 3)] 2 = 3(4 + 9 2 ) = 3(4 + 81) = 3(85) = 255 3[4 + (27 ÷ 3)] 2 = 3(4 + 9) 2 = 3(13) 2 = 3(169) = 507 Incorrect quantity raised to the second power. The exponent is outside the grouping symbol.
  28. 28. Credits End of Lesson! PowerPoint created by http://robertfant.com Robert Fant
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