Explanation:
The commutative property of addition states that changing the order of the addends does not change the sum. In simpler terms, it means that you can add two numbers in any order and still get the same result.

Let's go through the given options to determine which one represents the commutative property of addition:

a) 5 + 4 = 4 + 5
This equation represents the commutative property of addition. When you add 5 and 4, you get 9. And when you add 4 and 5, you also get 9. The order of the addends doesn't affect the sum.

b) 1 + (4 + 7) = (1 + 4) + 7
This equation represents the associative property of addition, not the commutative property. The associative property states that the grouping of addends doesn't affect the sum. In this case, you first add 4 and 7, then add 1 to the sum. On the other side of the equation, you add 1 and 4 first, then add 7 to the sum.

c) 6 + 1 = 7
This equation does not represent the commutative property of addition. The sum of 6 and 1 is 7, but if you switch the order and add 1 and 6, you still get 7. However, the equation given does not show this property.

d) 8 + 4 = 4 + 8
This equation represents the commutative property of addition. When you add 8 and 4, you get 12. And when you add 4 and 8, you also get 12. The order of the addends does not change the sum.

Therefore, the correct equation that represents the commutative property of addition is option 'D': 8 + 4 = 4 + 8.

Option A is also correct