Solve Two-Digit Addition: 47 + 22 in Vertical Format

Two-Digit Addition with Vertical Column Alignment

47+22776 \begin{aligned} &47 \\ +& \\ &22 \\ &\underline{\phantom{776}} & \\ \end{aligned}

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:03 Let's solve this problem together!
00:06 First, we add each pair of digits, starting from the right.
00:11 Let's begin by adding the ones place.
00:15 Make sure to put the result in the right place.
00:18 Next, add the tens place digits.
00:21 Place the answer in the correct position.
00:25 And that's how we find the solution!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

47+22776 \begin{aligned} &47 \\ +& \\ &22 \\ &\underline{\phantom{776}} & \\ \end{aligned}

2

Step-by-step solution

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

  • Step 1: Add the units digits.
  • Step 2: Add the tens digits, including any carry-over from the units column.

Let's work through these steps:

Step 1: Add the units digits, which are 7 and 2.

7+2=97 + 2 = 9.

Since 9 is less than 10, we don't need to carry over to the tens column.


Step 2: Add the tens digits, which are 4 and 2.

4+2=64 + 2 = 6.


Combine these results: The sum of 47 and 22 is 69.

Therefore, the solution to the problem is 69 69 .

3

Final Answer

69

Key Points to Remember

Essential concepts to master this topic
  • Place Value: Align digits by ones and tens columns correctly
  • Technique: Add ones first: 7 + 2 = 9, then tens: 4 + 2 = 6
  • Check: Count up from 47: 48, 49...67, 68, 69 matches our answer ✓

Common Mistakes

Avoid these frequent errors
  • Adding digits without proper column alignment
    Don't add 47 + 22 by mixing up place values like 4 + 7 + 2 + 2 = 15! This ignores place value and gives completely wrong answers. Always line up ones under ones and tens under tens in vertical format.

Practice Quiz

Test your knowledge with interactive questions

\( \begin{aligned} &83 \\ +& \\ &~~6 \\ &\underline{\phantom{776}} & \\ \end{aligned} \)

FAQ

Everything you need to know about this question

Why do I need to line up the numbers in columns?

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Lining up numbers by place value ensures you're adding the right digits together! Ones go with ones, tens with tens. Without proper alignment, you'll get the wrong answer every time.

What if I accidentally add the wrong digits together?

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This is super common! If you add 4 + 7 = 11 instead of 4 + 2 = 6, you'll get the wrong tens digit. Always double-check that you're adding digits in the same column.

Do I always start with the ones column?

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Yes! Always start with the rightmost column (ones place) and work left. This helps you handle any carrying that might be needed in more complex problems.

How can I check if my answer is right?

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Try adding the numbers in a different order: 22+47 22 + 47 . You should get the same answer! You can also count up from the larger number or use a calculator to verify.

What does the line under the numbers mean?

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The horizontal line separates the problem from the answer. Everything above the line gets added together, and the sum goes below the line.

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