Solve Addition Problem: Calculate 39 + 24

Two-Digit Addition with Regrouping

39+24=? 39+24=\text{?}

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Step-by-step written solution

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1

Understand the problem

39+24=? 39+24=\text{?}

2

Step-by-step solution

To solve the problem of adding 39 and 24, follow these steps:

  • Step 1: Write the numbers in a column format, aligning the digits by their place value (ones under ones, tens under tens):
      39
    +  24
    ------

  • Step 2: Add the digits in the 'ones' column: 9 + 4 = 13. Write the 3 in the 'ones' place and carry over 1 to the 'tens' place.

  • Step 3: Add the digits in the 'tens' column along with the carry: 3 + 2 + 1 (carry) = 6. Write the 6 in the 'tens' place.

  • Final Calculation:
       63

Therefore, the sum of 39 and 24 is 63 63 .

3

Final Answer

63 63

Key Points to Remember

Essential concepts to master this topic
  • Column Method: Align ones under ones, tens under tens when adding
  • Regrouping: When ones sum exceeds 9, carry 1 to tens column (9+4=13, write 3, carry 1)
  • Verification: Count up from 39: 39+20=59, 59+4=63 ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to carry the 1 when regrouping
    Don't add 9+4=13 and write 13 in the answer = 313 instead of 63! This ignores place value completely. Always carry the tens digit (1) to the next column and write only the ones digit (3) in the ones place.

Practice Quiz

Test your knowledge with interactive questions

If we have 67 blocks in total, how many blocks will remain if we remove 5 tens and 4 ones?

FAQ

Everything you need to know about this question

What does 'carrying' or 'regrouping' mean?

+

When adding digits creates a sum of 10 or more, you write the ones digit in that column and 'carry' the tens digit to the next column. Think of it as exchanging 10 ones for 1 ten!

Why can't I just write 13 under the ones column?

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Each column can only hold one digit! Writing 13 would mean you have 13 in the ones place, which doesn't follow place value rules. Always separate: 3 goes in ones, 1 gets carried to tens.

How do I know when I need to carry?

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You need to carry whenever the sum of digits in any column is 10 or greater. In this problem, 9+4=13, which is greater than 9, so you must carry the 1.

What if I forget to carry?

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You'll get the wrong answer! In 39+24, forgetting to carry gives you 513 instead of 63. Always double-check that sums of 10+ are properly regrouped.

Can I add from left to right instead?

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You can, but it's trickier with carrying! The standard right-to-left method (ones first, then tens) makes regrouping much clearer and reduces errors.

How can I check if my answer is right?

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Try these methods:

  • Add the numbers in reverse order: 24+39 should equal 63
  • Use mental math: 40+24=64, then subtract 1 to get 63
  • Break it down: 39+20=59, then 59+4=63 ✓

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