Question

Using the Commutative Property, fill in the blanks so that the two algebraic expressions are equivalent.(1 point)
5+ +1+7=4+ +7+1

Answer 1

To make the two algebraic expressions equivalent using the Commutative Property (which states that the order of addition does not affect the sum), we can fill in the blanks.

The left-hand side is:
5 + ___ + 1 + 7

The right-hand side is:
4 + ___ + 7 + 1

To maintain equivalence, we need to identify what should fill the blanks.

Since 5 + 1 + 7 = 4 + ___ + 7 + 1, we can reorganize them.

Thus, we can choose:

Left Side: 5 + **4** + 1 + 7

Right Side: 4 + **5** + 7 + 1

So, the completed expressions would be:
5 + **4** + 1 + 7 = 4 + **5** + 7 + 1

The filled blanks are **4** and **5** respectively.