To use the Commutative Property, we can rearrange the terms on either side of the equation without changing the overall value of the expressions.
The given equation is:
\[ 5 + _ + 1 + 7 = 4 + _ + 7 + 1 \]
We can start by rearranging the expressions and then filling in the blanks.
On the left side: We have \(5, 1,\) and \(7.\)
Let’s rewrite it as: \[ (5 + 7) + (1 + _) \]
On the right side: We have \(4, 7,\) and \(1.\)
Let’s choose \(2\) to fill in the blank: \[ (4 + 1) + (7 + _) \]
Thus we can fill the blanks with \(2\) on both sides:
So the expressions become:
\[ 5 + 2 + 1 + 7 = 4 + 2 + 7 + 1 \]
This way, both sides are equal and we used the Commutative Property to rearrange the terms.
The complete equation is:
\[ 5 + 2 + 1 + 7 = 4 + 2 + 7 + 1 \]
where the blanks are filled with \(2\).
1 answer