Match the property to the example given

Question

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Associative Property Commutative Property Distributive Property
2 +5 = 5 + 2
(4 + 2) + 1= 4 + (2 + 1)
3(x + 2) = 3x+6
2 +5 = 5 + 2
(4 + 2) + 1= 4 + (2 + 1)
3(x + 2) = 3x+6

Answer 1

Here are the matches for each property to the given examples:

1. Commutative Property: \(2 + 5 = 5 + 2\)
   (This property states that the order of addition does not affect the sum.)

2. Associative Property: \((4 + 2) + 1 = 4 + (2 + 1)\)
   (This property states that the way numbers are grouped does not affect the sum.)

3. Distributive Property: \(3(x + 2) = 3x + 6\)
   (This property states that multiplying a number by a sum is the same as doing each multiplication separately and then adding the results.)

So the final matches are:

• Commutative Property: \(2 + 5 = 5 + 2\)
• Associative Property: \((4 + 2) + 1 = 4 + (2 + 1)\)
• Distributive Property: \(3(x + 2) = 3x + 6\)