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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: 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
Distributive Property
Associative Property

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

Q 3: Identify the property shown by this example: 12 + (8 + 9) = (12 + 8) + 9
Commutative Property
Associative Property
Property of Zero
Property of One

Q 4: Identify the property shown by this example: 12 + 23 = 23 + 12
Associative Property of Addition
Distributive Property of Addition
Commutative Property of Addition

Q 5: Identify the multiplicative property shown by this example: 9 x 20 = 20 x 9
Commutative Property
Associative Property
Property of One
Property of Zero

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

Q 7: Addends can be grouped in any way without changing the sum. This property is called
the Associative Property of Addition
the Commutative Property of Addition
the Distributive Property of Addition

Q 8: An example of Commutative Property is:
2 * (5 + 3) = 2 * 5 + 2 * 3
2 + 0 = 2
5 + 3 = 3 + 5

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Question 10: This question is available to subscribers only!


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