Quiz on Properties and Decimals



Properties 1 worksheet Name________________________________________

Directions: Name the property.

1. (7 + 5) + 3 = (5 + 7) + 3___________________________________________________________

2. (8 + 6) + 4 = 8 + (6 + 4)___________________________________________________________

3. [pic]______________________________________________________

4. 1x = x____________________________________________________________

5. 8 + 0 = 0 + 8____________________________________________________________

6. 2 + 0 = 2____________________________________________________________

7. 6 . 0 = 0 . 6____________________________________________________________

8. [pic]_____________________________________________________

9. 5 + x = 12 [pic] (5 + x) - 5 = 12 - 5______________________________________________

10. 5 . 0 = 0____________________________________________________________

11. [pic]______________________________________________________________

12. 6 . (8 . 3) = (6 . 8) . 3____________________________________________________________

13. a+ b + c = b + a + c____________________________________________________________

14. n - 8 = 14 [pic] (n - 8) + 8 = 14 + 8______________________________________________

15. [pic]______________________________________________________

16. 9 . 1 = 1 . 9____________________________________________________________

17. [pic]______________________________________________

18. [pic] ______________________________________________

19. -3(n - 6) = -3n + 18 ____________________________________________________

20. [pic]______________________________________________________________

Directions: Apply the given property to the given expression.

21. Zero Property of Multiplication: 0 . 134 = ______________________

22. Commutative Property of Multiplication: 0 . 134 = ______________________

23. Identity Property of Addition: 11x + _________ = 11x

24. Inverse property of Multiplication: [pic]

25. Inverse Property of Addition: 14 +______= ______

26. Associative Property of Addition: (2 + 3) + 14 =______________________________________

27. Commutative Property of Addition: (13 + 10) + 7 =______________________________________

28. Identity Property of Multiplication: ___________ . ___________= 121

29. Distributive Property: 5( ____+ 3) = 10x + 15

30. Identity Properties of Multiplication and Addition: ___________ . x + ______________ = x

31. Commutative Property of Addition then Associative Property of Addition: (14 + 29) + 16 = ________________________ then _________________________

32. Distributive Property: [pic]

33. Associative Property of Multiplication: abc=____________________________

Directions: Write each product using the distributive property. Then simplify. Show work.

|8 (19) = 8 ( 10 + ____) |6 (52) = (___)(___+___) |

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|8 (19) = 8 ( 20 - ____) |[pic] |

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38. Simplify each expression using properties. Justify each step (meaning tell what property or operation you used).

|23 + 59 + 7 |Given |

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|___________________________ |____________________________________ |

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|___________________________ |____________________________________ |

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|___________________________ |____________________________________ |

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|[pic] |Given |

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|___________________________ | |

| |____________________________________ |

|___________________________ | |

| |____________________________________ |

|___________________________ | |

| |____________________________________ |

Directions: Simplify each expression using the distributive property. Show work (middle step)

39. [pic]

40. [pic]

41. [pic]

42. [pic]

43. [pic]

44. [pic]

45. [pic]

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