What number would replace x to show that the associative property of addition is being applied
(3 + 2) + 4 = x + (2 + 4)
(3 + 2) + 4 = x + (2 + 4)
To show the associative property of addition, the expression should remain the same even if the grouping of the numbers changes.
In this case, both sides of the equation have the same numbers and operations. However, the grouping of the numbers on the left side is different than the grouping on the right side.
We can simplify both sides to see how the numbers are grouped:
5 + 4 = x + 6
Now, we have two equations:
9 = x + 6
To find the value of x that satisfies the equation, we need to isolate x by subtracting 6 from both sides:
9 - 6 = x + 6 - 6
3 = x
So, the number that would replace x to show the associative property of addition is 3.