Grade 5 - Mathematics 1.3 Properties of Addition and Multiplication

Read the questions carefully.

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: Identify the additive property shown by this example: 3 + 9 = 9 + 3 Commutative Property Associative Property Property of Zero Property of One

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

Q 3: Identify the property shown by this example: (9 + 8) + 6 = 9 + (8 + 6) the Distributive Property of Addition the Commutative Property of Addition the Associative Property of Addition

Q 4: 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 Associative Property Distributive Property Commutative Property

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

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

Q 7: An example of Commutative Property is: 2 + 0 = 2 5 + 3 = 3 + 5 2 * (5 + 3) = 2 * 5 + 2 * 3

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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