Solve Three-Digit Addition: 367 + 421 in Vertical Format

Multi-Digit Addition with Column Alignment

367+421776 \begin{aligned} &367 \\ +& \\ &421 \\ &\underline{\phantom{776}} & \\ \end{aligned}

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:04 Let's solve this problem together.
00:07 First, add the numbers in the ones place.
00:10 Now, add the digits in the tens place.
00:14 Next, add the numbers in the hundreds place.
00:17 Finally, combine your results to find the total.
00:21 Great job! That's how you solve it.

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

367+421776 \begin{aligned} &367 \\ +& \\ &421 \\ &\underline{\phantom{776}} & \\ \end{aligned}

2

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.

3

Final Answer

788

Key Points to Remember

Essential concepts to master this topic
  • Alignment: Line up digits by place value columns correctly
  • Technique: Add column by column from right to left: 7+1=8
  • Check: Verify each column sum and final answer: 788 ✓

Common Mistakes

Avoid these frequent errors
  • Misaligning place value columns
    Don't write numbers carelessly without lining up units, tens, and hundreds columns = wrong sums like 889 or 977! Misaligned digits get added to wrong place values, completely changing the answer. Always align digits by place value position before adding.

Practice Quiz

Test your knowledge with interactive questions

\( \begin{aligned} &90 \\ +& \\ &~~9\\ &\underline{\phantom{776}} & \\ \end{aligned} \)

FAQ

Everything you need to know about this question

Why do I start adding from the right side?

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Always start with the units column (rightmost) because if you need to carry over, it affects the next column to the left. Working left-to-right would mess up your carrying!

What if I get different answers when I check?

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Double-check your column alignment first! Make sure 367 and 421 have their digits lined up properly by place value. Then re-add each column carefully.

Do I need to carry over in this problem?

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No carrying needed here! Each column sum (7+1=8, 6+2=8, 3+4=7) is less than 10, so you can write each result directly in that column.

How can I avoid making careless mistakes?

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Use these steps: 1) Align digits carefully, 2) Add one column at a time, 3) Double-check each column sum, 4) Verify your final answer by adding again.

What's the fastest way to check my work?

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Add the numbers in reverse order: 421 + 367. If you get the same answer (788), you're correct! This catches most addition errors quickly.

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