What number would replace i to show that the Associative Property of Addition is being applied (3 + 2) + 4 = x + (2 + 4)?
To show the Associative Property of Addition, the parentheses can be rearranged without changing the result.
In the equation (3 + 2) + 4 = x + (2 + 4), the expression (3 + 2) + 4 means that we add 3 and 2 first, then add the result to 4.
So, (3 + 2) + 4 = (5) + 4 = 9.
To find the number x, we can rearrange the right side of the equation using the Associative Property of Addition:
(x + (2 + 4) = (x + 2) + 4.
Now, we have the equation 9 = (x + 2) + 4.
To solve for x, we subtract 2 from both sides:
9 - 2 = (x + 2) + 4 - 2.
This simplifies to:
7 = x + 4.
To isolate x, we subtract 4 from both sides:
7 - 4 = x + 4 - 4.
This simplifies to:
3 = x.
So, x = 3.