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Name that Property

This text explains and demonstrates various properties of addition and multiplication. It covers the associative, commutative, and identity properties, as well as the multiplicative property of zero.

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Name that Property

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  1. Name that Property

  2. #1 • (3 + 8) + 7 = 3 + (8 + 7)

  3. #1 answer • Associative Property of Addition

  4. #2 • 22 x 1 = 22

  5. #2 answer • Identity property of multiplication

  6. #3 • 19 x 12 = 12 x 19

  7. #3 answer • Commutative property of multiplication

  8. #4 • 3 x 7 x 0 = 0

  9. #4 answer • Multiplicative property of zero

  10. #5 • 1m = m

  11. #5 answer • Identity property of multiplication

  12. #6 • x + (2y + z) = (2y + z) + x

  13. #6 answer • Commutative property of addition

  14. #7 8cd = 8dc

  15. #7 answer • Commutative property of multiplication

  16. #8 • (7a)b = 7(ab)

  17. #8 answer • Associative property of multiplication

  18. #9 • Rewrite the expression using the associative property. Then simplify. (y + 9) + 8

  19. #9 answer y + (9 + 8) y + 17

  20. #10 • Rewrite the expression using the associative property. Then simplify. 7(6z)

  21. #10 answer (7 x 6)z 42z

  22. #11 0 + 9 = 9

  23. #11 answer Identity property of addition

  24. #12 s x 1 = s

  25. #12 answer identity property of multiplication

  26. #13 • 4 + (9 + 6) = (4 + 9) + 6

  27. #13 answer • associative property of addition

  28. #14 x + 12 = 12 + x

  29. #14 answer • commutative property of addition

  30. #15 (3 + y) + 0 = 3 + y

  31. #15 answer • identity property of addition

  32. #16 • (x + y) + z = x + ( y + z)

  33. #16 answer • associative property of addition

  34. #17 • (15 + x) + 2 = 2 + (15 + x)

  35. #17 answer • commutative property of addition

  36. #18 • x • 1 = x

  37. #18 answer • identity property of multiplication

  38. #19 • 14xy = 14yx

  39. #19 answer • commutative property of multiplication

  40. #20 • (3 + 5) + c = 3 + (5 + c)

  41. #20 answer • associative property of addition

  42. #21 • (2 x 5) x 0 = 0

  43. #21 answer • multiplicative property of zero

  44. #22 • 6 x (8 + c) = (8 + c) x 6

  45. #22 answer • commutative property of multiplication

  46. #23 6 x (4 x 3) = (6 x 4) x 3

  47. #23 answer • associative property of multiplication

  48. #24 • (3 x 9) x 1 = 3 x 9

  49. #24 answer • identity property of multiplication

  50. #25 • (a + b) + c = c + (a + b)

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