Solve Vertical Addition: 175 + 5 Step-by-Step

$\begin{aligned} &175 \\ +& \\ &~~~~5 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

To solve this problem, we'll go through the following steps:

• Step 1: Arrange the numbers vertically with digits aligned by place value.
• Step 2: Start adding from the rightmost column (ones place).
• Step 3: Move to the next column to the left if necessary.
• Step 4: Record the result above the underscore line.

Now, let's add the numbers:

$\begin{aligned} & 175 \\ + &~~~5 \\ \underline{\phantom{180}} \\ \end{aligned}$

Step 1: Add the ones place digits: $5 + 5 = 10$

• Write 0 in the ones place and carry over 1 to the tens place.

Step 2: Add the tens place digits, including the carry: $7 + 0 + 1 = 8$

• Write 8 in the tens place. There's no carryover to the hundreds place in this case.

Step 3: Add the hundreds place digits: $1 + 0 = 1$

• Write 1 in the hundreds place.

Thus, the sum of 175 and 5 is 180.

Therefore, the solution to the problem is $180$.