The correct pairing of a property of operations and its example is:
2a + 3b = 3b + 2a; Commutative Property
This statement reflects the commutative property, which states that the order of addition (or multiplication) does not affect the sum (or product).
Here’s a breakdown of the other examples for clarification:
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2(a+3) = 2a+6; Distributive Property This shows the distributive property, as it involves distributing the multiplication over addition.
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2a + 3b = 3b + 2a; Commutative Property This is indeed correct, as previously mentioned.
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The final one, 2(a+3) = 2a+6; Associative Property, is incorrect, as the associative property refers to how numbers are grouped in addition or multiplication, not how they are distributed.
So the best choice is: 2a + 3b = 3b + 2a; Commutative Property.