Using the Commutative Property, fill in the blanks so that the two algebraic expressions are equivalent.

5+ ? + 1 + 7 =4 + 5 +7+1

1 answer

To use the Commutative Property, we can rearrange the numbers in the expression on the left side. The Commutative Property states that the order of addition does not change the sum.

Given the left side of the equation:

\(5 + ? + 1 + 7\)

And the right side of the equation:

\(4 + 5 + 7 + 1\)

To make the two expressions equivalent, we can identify that the number missing in the first expression (represented by "?") should be 4, because that is the only number on the right side that is not present on the left.

So, filling in the blank:

5 + 4 + 1 + 7 = 4 + 5 + 7 + 1

Both sides equal 17, confirming the equivalence.