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Worksheet

Properties of Numbers

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Show your work for each problem.

  1. 1.
    Which property does demonstrate?
    1. a)Commutative Property
    2. b)Associative Property
    3. c)Identity Property
    4. d)Distributive Property
  2. 2.
    Which property shows that ?
    1. a)Commutative Property
    2. b)Identity Property
    3. c)Associative Property
    4. d)Zero Property
  3. 3.
    Using the commutative property, if , what does equal?
  4. 4.
    What number makes this true using the identity property:
  5. 5.
    Which property does demonstrate?
    1. a)Distributive Property
    2. b)Associative Property
    3. c)Identity Property
    4. d)Commutative Property
  6. 6.
    Use the distributive property to calculate:
  7. 7.
    Which equation does NOT demonstrate the commutative property?
    1. a)
    2. b)
    3. c)
    4. d)
  8. 8.
    Use the distributive property to calculate . Hint: Write 13 as .
  9. 9.
    Use properties to calculate mentally. Hint: .
  10. 10.
    Add these numbers mentally using properties:
  11. 11.
    Use the distributive property:
  12. 12.
    Which statement is TRUE about the associative property?
    1. a)It works for addition and multiplication only
    2. b)It changes the order of numbers
    3. c)It only works for addition
    4. d)It works for all four operations
  13. 13.
    Calculate using the distributive property by writing .
  14. 14.
    Identify the property used in each step:
  15. 15.
    Use the distributive property to factor:
Interactive lesson with step-by-step solutions and more practice (free): mathorio.com/en/learn/arithmetic/basic-operations/properties-of-numbers