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

Exercise #1

amp;104+amp;amp;153amp;776amp; \begin{aligned} &104 \\ +& \\ &153 \\ &\underline{\phantom{776}} & \\ \end{aligned}

Video Solution

Step-by-Step Solution

To solve this problem, we will perform vertical addition:

  • Step 1: Align the numbers by place value:

    104+153706 \begin{aligned} &104 \\ + &153 \\ &\underline{\phantom{706}} \\ \end{aligned}

  • Step 2: Add the numbers starting from the rightmost digit (units).
    The units column: 4+3=74 + 3 = 7
  • Step 3: Move to the tens column and add.
    The tens column: 0+5=50 + 5 = 5
  • Step 4: Finally, add the hundreds column.
    The hundreds column: 1+1=21 + 1 = 2

Putting it all together, the result of adding 104 and 153 is:

104+153257 \begin{aligned} &104 \\ + &153 \\ &\underline{257} \\ \end{aligned}

Therefore, the solution to the problem is 257257.

Answer

257

Exercise #2

amp;281+amp;amp;507amp;776amp; \begin{aligned} &281 \\ +& \\ &507 \\ &\underline{\phantom{776}} & \\ \end{aligned}

Video Solution

Step-by-Step Solution

To solve this problem, we'll perform vertical addition as follows:

  • Step 1: Align the numbers by columns (units, tens, hundreds).
    amp;281+amp;amp;507 \begin{aligned} &281 \\ +& \\ &507 \\ \hline \end{aligned}

  • Step 2: Add the digits from the rightmost column to the leftmost:
    - Units place: Add 1 and 7, which equals 8. No carry is needed here.
    - Tens place: Add 8 and 0, which equals 8. No carry is needed here.
    - Hundreds place: Add 2 and 5, which equals 7. No carry is needed here.

Therefore, the sum of 281281 and 507507 is 788788.

The solution to the problem is 788 788 .

Answer

788

Exercise #3

amp;367+amp;amp;421amp;776amp; \begin{aligned} &367 \\ +& \\ &421 \\ &\underline{\phantom{776}} & \\ \end{aligned}

Video Solution

Step-by-Step Solution

To solve this addition problem, we will apply vertical addition:

We start with the given problem:

367+421 \begin{aligned} &367 \\ +& \\ &421 \\ \end{aligned}

We perform the addition column by column:

  • Units Column: 7+1=87 + 1 = 8
  • Tens Column: 6+2=86 + 2 = 8
  • Hundreds Column: 3+4=73 + 4 = 7

Putting it all together, the sum of the two numbers is:

788 \begin{aligned} &788 \end{aligned}

Therefore, the solution to the problem is 788788.

Answer

788

Exercise #4

amp;574+amp;amp;313amp;776amp; \begin{aligned} &574 \\ +& \\ &313 \\ &\underline{\phantom{776}} & \\ \end{aligned}

Video Solution

Step-by-Step Solution

To solve this vertical addition problem, follow these steps:

  • First, write the two numbers vertically, aligning them by their place values:
    574+313 \begin{aligned} &574 \\ +& \\ &313 \\ \end{aligned}
  • Add the digits in the ones column (far right):
    - 4 + 3 = 7
  • Proceed to the tens column (middle):
    - 7 + 1 = 8
  • Finally, add the digits in the hundreds column (far left):
    - 5 + 3 = 8

Thus, the sum of 574 and 313 is 887 887 , which matches the correct answer choice.

Answer

887

Exercise #5

amp;486+amp;amp;112amp;776amp; \begin{aligned} &486 \\ +& \\ &112\\ &\underline{\phantom{776}} & \\ \end{aligned}

Video Solution

Answer

598