Examples with solutions for Vertical Addition: Simple addition of 3-digit and 2-digit numbers

Exercise #1

amp;285+amp;amp;  11amp;776amp; \begin{aligned} &285 \\ +& \\ &~~11 \\ &\underline{\phantom{776}} & \\ \end{aligned}

Video Solution

Step-by-Step Solution

To solve this problem effectively, we will perform vertical addition as follows:

  • Step 1: Align the numbers 285 and 11 by place value:
  •   285+  11  ? \begin{array}{c} ~~285 \\ +~~11 \\ \hline ~~? \\ \end{array}

  • Step 2: Add the digits in each column, starting from the rightmost (units place):
  • - Units Place: 5+1=65 + 1 = 6. Write 6 in the units place.

    - Tens Place: 8+1=98 + 1 = 9. Write 9 in the tens place.

    - Hundreds Place: There’s no digit to add to 2 in this column, so it remains 22.

    285+11296 \begin{array}{c} 285 \\ +11 \\ \hline 296 \\ \end{array}

  • Step 3: Compile the result to get the final sum: 296.

Therefore, the solution to the problem is 296 296 .

Answer

296

Exercise #2

amp;352+amp;amp;  27amp;776amp; \begin{aligned} &352 \\ +& \\ &~~27 \\ &\underline{\phantom{776}} & \\ \end{aligned}

Video Solution

Step-by-Step Solution

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

  • Step 1: Align the numbers based on place value.
  • Step 2: Add each column starting from the right (units column).
  • Step 3: Carry over any values greater than 9 to the next column.

Now, let’s work through each step:

Step 1: Align the numbers vertically:

352+27 \begin{array}{c} 352 \\ + 27 \\ \hline \end{array}

Step 2: Add the right-most column (the units).
2+7=92 + 7 = 9, write 99 in the units place.

Step 3: Move to the next column to the left (the tens).
5+2=75 + 2 = 7, write 77 in the tens place (no carrying needed).

Step 4: Move to the left-most column (the hundreds).
33 remains 33 as there is nothing to add, so write 33 in the hundreds place.

Thus, the result when you add the numbers is:

352+27379 \begin{array}{c} 352 \\ + 27 \\ \hline 379 \\ \end{array}

Therefore, the sum of 352352 and 2727 is 379379.

Answer

379

Exercise #3

amp;423+amp;amp;  55amp;776amp; \begin{aligned} &423 \\ +& \\ &~~55 \\ &\underline{\phantom{776}} & \\ \end{aligned}

Video Solution

Step-by-Step Solution

To solve this addition problem, follow these steps:

  • Step 1: Add the digits in the units place: 3+5=83 + 5 = 8. Write down 8 in the units place.
  • Step 2: Add the digits in the tens place: 2+5=72 + 5 = 7. Write down 7 in the tens place. No carrying is needed.
  • Step 3: Add the digits in the hundreds place: 4+0=44 + 0 = 4. Write down 4 in the hundreds place.

After performing these steps, the final sum is:

423+  55478\begin{aligned} &423 \\ +& \\ &~~55 \\ \hline &478 \\ \end{aligned}

Therefore, the sum of 423 and 55 is 478478.

Answer

478

Exercise #4

amp;571+amp;amp;  24amp;776amp; \begin{aligned} &571 \\ +& \\ &~~24 \\ &\underline{\phantom{776}} & \\ \end{aligned}

Video Solution

Step-by-Step Solution

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

  • Step 1: Align the numbers by their place values (units, tens, hundreds).
    571+ 24776\begin{array}{c} 571 \\ + ~24 \\ \underline{\phantom{776}} \\ \end{array}
  • Step 2: Start adding from the rightmost column (units place).
    1+4=5\begin{aligned} 1 + 4 = 5 \end{aligned}
  • Step 3: Move to the tens column.
    7+2=9\begin{aligned} 7 + 2 = 9 \end{aligned}
  • Step 4: Move to the hundreds column. Since there is no number to add to 5, it remains 5.
    5+0=5\begin{aligned} 5 + 0 = 5 \end{aligned}
  • Thus, the sum of 571 and 24 is 595595.

Conclusion: The solution to the problem is 595595, which corresponds to choice 1 in the provided options.

Answer

595

Exercise #5

amp;115+amp;amp;  12amp;776amp; \begin{aligned} &115 \\ +& \\ &~~12 \\ &\underline{\phantom{776}} & \\ \end{aligned}

Video Solution

Answer

127