Which of the following equations shows the correct way to apply the Commutative Property of Addition?(1 point)
Responses
7+y=y+7
7 plus y equals y plus 7
2×(4+3)=(2×4)+3
2 times left parenthesis 4 plus 3 right parenthesis equals left parenthesis 2 times 4 right parenthesis plus 3
5+5=8+2
5 plus 5 equals 8 plus 2
a+(c+b)=(a+c)+b
A plus left parenthesis c plus b right parenthesis equals left parenthesis A plus c right parenthesis plus b
The correct equation that shows the application of the Commutative Property of Addition is:
7 + y = y + 7
To understand how this equation represents the Commutative Property of Addition, let's break it down:
Commutative Property of Addition states that the order of addition does not affect the sum. In simple terms, you can change the order of the numbers being added, and the result remains the same.
In the given equation, the order of addition is reversed. The left side of the equation has 7 added to y, while the right side has y added to 7. Even though the order is different, the result will still be the same.
To solve the equation, you can simply swap the positions of the numbers being added:
y + 7 = 7 + y
This equation is a representation of the Commutative Property of Addition.