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The Associative PropertyThe Commutative PropertyThe Distributive Property<br />
2 identical flower beds<br />Rectangular shaped<br />4.5 ft x 5 ft <br />
How many square feet?!?!<br />
(<br />)<br />+<br />+<br />
)<br />(<br />+<br />+<br />
Associative Property<br />
What other operations can be used with the associative property?<br />
Back to the Home Depot dilemma…<br />
     (4.5 x 5) <br />
     (4.5 x 5) x 2 <br />
      4.5 x (5 x 2)                           <br />
      4.5 x 10                           <br />
45 square feet<br />
+<br />+<br />
+<br />+<br />
Commutative Property<br />
What other operations can be used with the commutative property?<br />
How can we manipulate the problems so we can use subtraction with the associative and commutative properties? <br />
$38 Sweater <br />Buy 6 Colors <br />
Your total is $287.66.What?!?!<br />
Ariel (a) <br />
Bride (b) <br />
Cat (c) <br />
Dragon (d) <br />
(b + c + d)<br />
a(b + c + d)<br />
ab<br />
ab + ac <br />
ab + ac + ad<br />
a(bc + d + ef)<br />
a(bc + d + ef)<br />abc + ad + aef<br />
Distributive Property<br />
Back to the J. Crew dilemma…<br />
6 sweaters at $38<br />6 x 38<br />
6 sweaters at $38<br />6 x 38<br />6(40 – 2)<br />
6 sweaters at $38<br />6 x 38<br />6(40 – 2)<br />240 – 12<br />
6 sweaters at $38<br />6 x 38<br />6(40 – 2)<br />240 – 12<br />228<br />
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The Associative Property

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The Associative Property

  1. 1. The Associative PropertyThe Commutative PropertyThe Distributive Property<br />
  2. 2.
  3. 3. 2 identical flower beds<br />Rectangular shaped<br />4.5 ft x 5 ft <br />
  4. 4.
  5. 5.
  6. 6. How many square feet?!?!<br />
  7. 7.
  8. 8.
  9. 9. (<br />)<br />+<br />+<br />
  10. 10. )<br />(<br />+<br />+<br />
  11. 11. Associative Property<br />
  12. 12. What other operations can be used with the associative property?<br />
  13. 13. Back to the Home Depot dilemma…<br />
  14. 14. (4.5 x 5) <br />
  15. 15. (4.5 x 5) x 2 <br />
  16. 16. 4.5 x (5 x 2) <br />
  17. 17. 4.5 x 10 <br />
  18. 18. 45 square feet<br />
  19. 19.
  20. 20.
  21. 21.
  22. 22.
  23. 23.
  24. 24. +<br />+<br />
  25. 25. +<br />+<br />
  26. 26. Commutative Property<br />
  27. 27. What other operations can be used with the commutative property?<br />
  28. 28. How can we manipulate the problems so we can use subtraction with the associative and commutative properties? <br />
  29. 29.
  30. 30. $38 Sweater <br />Buy 6 Colors <br />
  31. 31. Your total is $287.66.What?!?!<br />
  32. 32.
  33. 33. Ariel (a) <br />
  34. 34. Bride (b) <br />
  35. 35. Cat (c) <br />
  36. 36. Dragon (d) <br />
  37. 37. (b + c + d)<br />
  38. 38. a(b + c + d)<br />
  39. 39. ab<br />
  40. 40. ab + ac <br />
  41. 41. ab + ac + ad<br />
  42. 42.
  43. 43.
  44. 44.
  45. 45. a(bc + d + ef)<br />
  46. 46. a(bc + d + ef)<br />abc + ad + aef<br />
  47. 47. Distributive Property<br />
  48. 48. Back to the J. Crew dilemma…<br />
  49. 49. 6 sweaters at $38<br />6 x 38<br />
  50. 50. 6 sweaters at $38<br />6 x 38<br />6(40 – 2)<br />
  51. 51. 6 sweaters at $38<br />6 x 38<br />6(40 – 2)<br />240 – 12<br />
  52. 52. 6 sweaters at $38<br />6 x 38<br />6(40 – 2)<br />240 – 12<br />228<br />

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