1. The problem is to evaluate the expression $\frac{n \times n + n}{n}$ when $n=10$. 2. The expression can be written as $\frac{n^2 + n}{n}$. 3. Using the property of fractions, we can split the numerator: $\frac{n^2}{n} + \frac{n}{n}$. 4. Simplify each term: $\frac{n^2}{n} = n$ and $\frac{n}{n} = 1$. 5. So the expression simplifies to $n + 1$. 6. Substitute $n=10$ into the simplified expression: $10 + 1 = 11$. 7. Therefore, the value of the expression when $n=10$ is $11$.