Solve the Addition Problem: 22 + 38

Two-Digit Addition with Regrouping

22+38= 22+38=

Solve the addition problem:

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

22+38= 22+38=

Solve the addition problem:

2

Step-by-step solution

To find the sum of 2222 and 3838, we'll perform the following steps:

  • Step 1: Align the numbers vertically by place value:
       22\ \ \ 22
    +38+\, 38
  • Step 2: Add the digits in the ones place: 2+8=102 + 8 = 10.
    Since the result 1010 is greater than 99, we'll place 00 in the ones place and carry 11 to the tens place.
  • Step 3: Add the digits in the tens place, including the carried over 11: 2+3+1=62 + 3 + 1 = 6.
    Place the 66 in the tens place, making the sum 6060.

Therefore, the sum of 2222 and 3838 is 6060.

Among the provided answer choices,  60\ 60 is the correct answer.

3

Final Answer

60 60

Key Points to Remember

Essential concepts to master this topic
  • Alignment: Place numbers vertically by matching place values correctly
  • Regrouping: When ones sum exceeds 9, carry 1 to tens: 2+8=10 becomes 0 ones, carry 1
  • Verification: Add in reverse order 38+22 or count up from 22 to check 60 ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to carry the 1 when regrouping
    Don't just write 10 in the ones place = wrong answer of 100! When the ones column sum is 10 or more, you must write only the ones digit and carry the tens digit to the next column. Always carry the extra digit to avoid inflated answers.

Practice Quiz

Test your knowledge with interactive questions

If we have 85 blocks in total, how many blocks will remain if we remove 4 tens and 1 one?

FAQ

Everything you need to know about this question

Why do I need to carry the 1 when I add 2 + 8?

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Because 2+8=10 2 + 8 = 10 , which has two digits! The ones place can only hold single digits (0-9). So you write the 0 in ones place and carry the 1 to the tens place.

What if I forget to add the carried number?

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You'll get the wrong answer! In this problem, forgetting the carried 1 would give you 50 50 instead of 60 60 . Always remember: tens column = original tens + carried amount.

Can I add from left to right instead?

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Always start from the rightmost column (ones place) and work left. This ensures you handle any carrying correctly. Left-to-right addition often leads to errors with regrouping.

How can I check if my answer is correct?

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Try these methods:

  • Reverse addition: 38+22=60 38 + 22 = 60
  • Subtraction check: 6022=38 60 - 22 = 38
  • Estimation: 20+40=60 20 + 40 = 60 (close to our answer!)

Why do we align numbers by place value?

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Place value alignment ensures you're adding like with like - ones with ones, tens with tens. Without proper alignment, you might accidentally add a ones digit to a tens digit, giving completely wrong results!

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