give a problem that you could simlify using the communitive and associsative properties. then,show the steps to solve the problem an label the comunitive and associative properties
Let's consider the problem: (4 + 7) + 3.
To simplify this problem using the commutative and associative properties, we can rearrange the numbers and the operation. The commutative property allows us to change the order of addition without changing the result, and the associative property allows us to regroup the numbers without changing the result.
Step 1: Apply the commutative property.
(4 + 7) + 3 = (7 + 4) + 3
Step 2: Apply the associative property.
(7 + 4) + 3 = 7 + (4 + 3)
Step 3: Perform the addition operations.
7 + (4 + 3) = 7 + 7
Step 4: Simplify the expression.
7 + 7 = 14
In this example, the commutative property was used to change the order of addition from (4 + 7) to (7 + 4), and the associative property was used to regroup the numbers from (7 + 4) + 3 to 7 + (4 + 3). The result is 14.