Solve for $n$ using the Additive Identity Property.
$5 + 0 = n$
The additive identity property states that for any real number \(a\), the sum of \(a\) and \(0\) is equal to \(a\). Mathematically, this property is expressed as:
\[a + 0 = a\]
This property tells us that adding zero to any number does not change its value. In the given equation \(5 + 0 = n\), we are applying this property where \(a = 5\). Since \(5 + 0\) must result in \(5\), we can determine that \(n\) must be equal to \(5\).
Given the equation \(5 + 0 = n\), we identify \(5\) as the value for \(a\) in the identity \(a + 0 = a\). By applying the property directly, we see that:
\[5 + 0 = 5\]
Comparing this to the given equation \(5 + 0 = n\), we conclude that \(n = 5\). This matches the first option provided in the problem.
The additive identity property is a fundamental rule in arithmetic that you use every day, often without realizing it! For example, if you have 5 apples in your basket and your friend adds 0 more to it, you still have 5 apples. The zero doesn't change the count of the items you possess. This simple principle is essential in everything from basic counting to solving complex algebraic equations, where adding a zero (or a sum that equals zero) allows you to manipulate and simplify expressions without altering their true value.