Vertical Addition: Addition of 3-digit and 2-digit numbers with the regrouping of tens

To solve this problem, we will perform vertical addition:

• Step 1: Write the numbers vertically, aligning by place value. We have 178 on top and 12 below.
• Step 2: Start by adding the units column: $8 + 2 = 10$. Write 0 below the line and carry over 1 to the next column.
• Step 3: Move to the tens column. Add $7 + 1 = 8$ from 178 and the carry over 1, which equals $8 + 1 = 9$. Write 9 below the line.
• Step 4: Finally, add the hundreds column, where we have 1 with no carry over involved. Write 1 below the line.

After completing these steps, the vertical addition gives us the sum: $190$.

To solve this problem, we'll follow these steps:

• Step 1: Write 234 and 16 vertically, aligning them by the rightmost digits:
• $\begin{aligned} &234 \\ +& \\ &~~16 \\ \end{aligned}$
• Step 2: Start adding from the rightmost column (units):
• Add $4$ (units of 234) and $6$ (units of 16):
• $4 + 6 = 10$
• Write down $0$ and carry over $1$ to the tens column.
• Step 3: Move to the tens column:
• Add $3$ (tens of 234), $1$ (tens of 16), and the carried over $1$:
• $3 + 1 + 1 = 5$
• Write down $5$.
• Step 4: Add the hundreds column:
• $2$ (hundreds of 234):
• Since there is no hundreds value in 16, it remains $2$.

Therefore, the sum of 234 and 16 is $250$.

Thus, the solution to the problem is $250$, which corresponds to choice 2.

To solve this problem, we'll use vertical addition step-by-step:

• Step 1: Write the numbers 857 and 23 in a column aligned by place values.
• Step 2: Add starting from the rightmost column (units), moving left:
  • Units: 7 + 3 = 10. Write 0 and carry over 1 to the tens place.
  • Tens: 5 + 2 + 1 (carried over) = 8. Write 8 with no carry-over.
  • Hundreds: 8 + 0 = 8. Write 8.
• Step 3: The final sum is 880.

Therefore, the sum of 857 and 23 is $880$.

The correct choice is Choice 4: $880$.

To solve this problem, we'll follow these steps:

• Align the numbers by place value.
• Add the numbers starting from the rightmost column, with carrying where necessary.
• Verify the results match one of the provided multiple-choice answers.

We can begin with the addition:

$\begin{aligned} &\phantom{+}917 \\ + &\phantom{9}~~73 \\ &\underline{\phantom{777}} \end{aligned}$

Let's add each digit column by column:

Step 1: Add the units place (rightmost column).

The units are 7 and 3. Add these together: $7 + 3 = 10$. Since 10 is more than 9, we place the 0 in the units place and carry over the 1 to the tens column.

Step 2: Add the tens place, including the carry from the previous step.

Now add the tens digits: $1 + 1 + 7 = 9$. (The 1 is carried from the previous step, and 9 is the result.) Place 9 in the tens column.

Step 3: Add the hundreds place.

The hundreds place has a 9 with nothing to add, so it remains 9.

The resulting sum from the addition is 990. Therefore, the correct answer is:

$990$

Verifying with the given multiple-choice options, the correct answer is choice 3.