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Properties

Discover various algebraic properties, such as Associative, Commutative, Identity, Closure, Inverse, and Distributive, to solve problems with ease. Dive into the world of numbers, fractions, and variables while mastering essential properties.

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Properties

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  1. Properties by D. Fisher

  2. Which Property?

  3. 1. Which Property? (2 + 1) + 4 = 2 + (1 + 4) Associative Property of Addition

  4. 2. Which Property? 3 + 7 = 7 + 3 Commutative Property of Addition

  5. 3. Which Property? 8 + 0 = 8 Identity Property of Addition

  6. 4. Which Property? (even)•(even) = (even) Closure Property

  7. 5. Which Property? 6 • 4 = 4 • 6 Commutative Property of Multiplication

  8. 6. Which Property? 17 + (-17) = 0 Inverse Property of Addition

  9. 7. Which Property? 2(5) = 5(2) Commutative Property of Multiplication

  10. 8. Which Property? even + even = even Closure Property

  11. 9. Which Property? 3(2 + 5) = 3•2 + 3•5 Distributive Property

  12. 10. Which Property? 6(7•8) = (6•7)8 Associative Property of Multiplication

  13. 11. Which Property? 5 • 1 = 5 Identity Property of Multiplication

  14. 12. Which Property? (odd) • (odd) = (odd) Closure Property

  15. Properties Using Negatives

  16. 13. Which Property? (6 – 3)4 = 6•4 – 3•4 Distributive Property

  17. 14. Which Property? 1(-9) = -9 Identity Property of Multiplication

  18. 15. Which Property? 3 + (-3) = 0 Inverse Property of Addition

  19. 16. Which Property? 1 + [-9 + 3] = [1 + (-9)] + 3 Associative Property of Addition

  20. 17. Which Property? -3(6) = 6(-3) Commutative Property of Multiplication

  21. 18. Which Property? -8 + 0 = -8 Identity Property of Addition

  22. 19. Which Property? 3•7 – 3•4 = 3(7 – 4) Distributive Property

  23. 20. Which Property? 6 + [(3 + (-2)] = (6 + 3) + (- 2) Associative Property of Addition

  24. 21. Which Property? 7 + (-5) = -5 + 7 Commutative Property of Addition

  25. 22. Which Property? (5 + 4)9 = 45 + 36 Distributive Property

  26. 23. Which Property? -3(5 • 4) = (-3 • 5)4 Associative Property of Multiplication

  27. 24. Which Property? -8(4) = 4(-8) Commutative Property of Multiplication

  28. Properties Using Fractions

  29. 25. Which Property? 51/7 + 0 = 51/7 Identity Property of Addition

  30. 26. Which Property? 3/4 – 6/7 = – 6/7 + 3/4 Commutative Property of Addition

  31. 27. Which Property? 12/5 • 1 = 12/5 Identity Property of Multiplication

  32. 28. Which Property? (fraction)(fraction) = fraction Closure Property

  33. 29. Which Property? -8 2/5 + 0 = -8 2/5 Identity Property of Addition

  34. 30. Which Property? [(-2/3)(5)]9 = -2/3[(5)(9)] Associative Property of Multiplication

  35. Properties Using Variables

  36. 31. Which Property? 6(3 – 2n) = 18 – 12n Distributive Property

  37. 32. Which Property? 2x + 3 = 3 + 2x Commutative Property of Addition

  38. 33. Which Property? ab = ba Commutative Property of Multiplication

  39. 34. Which Property? a + 0 = a Identity Property of Addition

  40. 35. Which Property? a(bc) = (ab)c Associative Property of Multiplication

  41. 36. Which Property? a•1 = a Identity Property of Multiplication

  42. 37. Which Property? a +b = b + a Commutative Property of Addition

  43. 38. Which Property? a(b + c) = ab + ac Distributive Property

  44. 39. Which Property? a + (b + c) = (a +b) + c Associative Property of Addition

  45. 40. Which Property? a + (-a) = 0 Inverse Property of Addition

  46. Enjoy your Algebra work!

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