Solve Vertical Addition: 423 + 55 Step-by-Step

Vertical Addition with Two-Digit Numbers

423+  55776 \begin{aligned} &423 \\ +& \\ &~~55 \\ &\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 step by step.
00:07 We'll combine two digits at a time. Ready?
00:10 First, combine the ones. Place the result in the ones column.
00:15 Next, combine the tens. Put the answer in the tens column.
00:20 Add zeroes where digits are missing for neatness.
00:24 Now, combine the hundreds. Place it in the hundreds column.
00:28 And that's how we find the solution. Great job!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

423+  55776 \begin{aligned} &423 \\ +& \\ &~~55 \\ &\underline{\phantom{776}} & \\ \end{aligned}

2

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.

3

Final Answer

478

Key Points to Remember

Essential concepts to master this topic
  • Place Value: Line up digits by place value (ones, tens, hundreds)
  • Technique: Add column by column from right to left: 3+5=8, 2+5=7, 4+0=4
  • Check: Verify by adding in reverse order: 55+423 should equal 478 ✓

Common Mistakes

Avoid these frequent errors
  • Misaligning place values when setting up the problem
    Don't line up numbers by their leftmost digits = wrong column addition! This causes you to add tens to ones or hundreds to tens. Always align numbers by place value with ones under ones, tens under tens.

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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We start from the ones place (rightmost column) because if there's any carrying needed, it flows left to the next column. This prevents errors and keeps our place values organized!

What if the numbers don't line up perfectly?

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That's normal! When adding 423 + 55, the 55 only has two digits, so imagine a zero in the hundreds place: 423 + 055. Always align by place value, not by length.

How do I know where to put each digit in my answer?

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Each column's sum goes directly below that column. The ones column sum goes in the ones place of your answer, tens column in tens place, and so on!

What if I get confused about which column I'm adding?

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Use your finger or a ruler to isolate each column as you work. Start with the rightmost column and move left one column at a time. Take your time!

Can I add from left to right instead?

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While possible, it's much harder and more error-prone. Adding right to left is the standard method because it handles carrying naturally. Stick with the proven approach!

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