Using the Commutative Property, fill in the blanks so that the two algebraic expressions are equivalent.(1 point)
5+
+1+7=4+
+7+1
The Commutative Property of addition states that numbers can be added in any order without changing the sum. Using this property, we can rearrange the numbers on either side of the equation as needed.
Given the algebraic expression:
5 + ___ + 1 + 7 = 4 + ___ + 7 + 1
To make the two expressions equivalent while maintaining the equalities, we can simply rearrange the addends (the numbers being added) on one side of the equation to match the order on the other side:
5 + (4) + 1 + 7 = 4 + (5) + 7 + 1
Therefore, the blanks should be filled in as follows:
5 + 4 + 1 + 7 = 4 + 5 + 7 + 1
Both sides will then add up to 17, preserving the equality with the Commutative Property of addition.