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Grade 5 - Mathematics
1.3 Properties of Addition and Multiplication

  1. Read the questions carefully.
  2. Identify the property in each.
Example: 5* (4 + 6) = 5*4 + 5*6 is an example of _______ property?
Answer: distributive
Directions: Identify the property in each of the following questions. Also write 5 examples of distributive property.
Q 1: Addends can be added in any order without changing the sum. This property is called
the Commutative Property of Addition
the Associative Property of Addition
the Distributive Property of Addition

Q 2: Addends can be grouped in any way without changing the sum. This property is called
the Associative Property of Addition
the Distributive Property of Addition
the Commutative Property of Addition

Q 3: An example of Commutative Property is:
2 + 0 = 2
5 + 3 = 3 + 5
2 * (5 + 3) = 2 * 5 + 2 * 3

Q 4: An example of Associative Property is:
2 + 6 = 8 and 6 + 2 = 8
2 + 0 = 2
(2+ 6) + 3 = 2 + (6 + 3) = 11

Q 5: Factors can be multiplied in any order without changing the product. This property is called
the Commutative Property of Multiplication
the Associative Property of Multiplication
the Distributive Property of Multiplication

Q 6: Factors can be grouped in any way without changing the product. This property is called
the Distributive Property of Multiplication
the Associative Property of Multiplication
the Commutative Property of Multiplication

Q 7: When a sum is multiplied by a number we can multiply each addend by the number and then add the products. This property is called
Commutative Property
Associative Property
Distributive Property

Q 8: An example of Distributive Property of Multiplication is
12 x (6 + 5) = (12 x 6) + (12 x 5)
12 + (8 + 9) = (12 + 8) + 9
(2+ 6) + 3 = 2 + (6 + 3)

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