What property is being illustrated below?
12(x + 7) = 12(7 + x)
I think its distributive property
In your text or your notes, find the name of the property that says
a + b = b + a
The property being illustrated in the equation is the commutative property of addition.
To solve this equation and identify the property, we can simplify both sides of the equation.
Starting with the left side of the equation:
12(x + 7) can be expanded as 12 * x + 12 * 7, which simplifies to 12x + 84.
Moving on to the right side of the equation:
12(7 + x) can be expanded as 12 * 7 + 12 * x, which simplifies to 84 + 12x.
Now, comparing both sides of the equation, we can see that they are identical:
12x + 84 = 84 + 12x.
This demonstrates the commutative property of addition because it shows that the order of addition can be reversed without changing the result. In this case, we can see that 12(x + 7) and 12(7 + x) are equal, illustrating the commutative property of addition.