Solve Vertical Addition: 916 + 95 Step-by-Step

To solve this problem, we will use vertical addition, adding each column digit separately starting from the rightmost column forming the following arrangement:

• Align the numbers:

     916
    + 95
    ----
     

• Start with the rightmost column (units):
  • The units digit of $916$ is $6$, and the units digit of $95$ is $5$.
  • Adding these gives $6 + 5 = 11$.
  • Place the $1$ in the units column and carry over the $1$ to the tens column.
• Move to the tens column:
  • The tens digit of $916$ is $1$, and the tens digit of $95$ is $9$. Add these together with the carried over $1$: $1 + 9 + 1 = 11$.
  • Place the $1$ in the tens column and carry over the $1$ to the hundreds column.
• Finally, address the hundreds column:
  • The hundreds digit of $916$ is $9$, and there is no hundreds digit in $95$, so it is $0$. Add these along with any carried over number: $9 + 0 + 1 = 10$.
  • Place the $0$ in the hundreds column, and $1$ will become the new thousands digit.
• The final sum is then:

     1011
     

Therefore, the solution to the addition problem is $\mathbf{1011}$.