Final answer:
The commutative property allows you to change the order of addition or multiplication without changing the result.
Step-by-step explanation:
The property that allows you to write the expression (3 + 7) + (8-61) as (8-61) + (3 + 7i) is the commutative property.
The commutative property states that the order of addition or multiplication does not affect the result. In this case, you can change the order of the two expressions inside the parentheses without changing the overall result.
For example, (3 + 7) + (8-61) is equal to (8-61) + (3 + 7) = -53 + 10 = -43.
Learn more about commutative property