Solve the Addition Problem: 11 + 29 = ?

Two-Digit Addition with Carrying

11+29= 11+29=

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Step-by-step written solution

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1

Understand the problem

11+29= 11+29=

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Step-by-step solution

To solve this problem, we'll break it down into manageable steps:

  • Step 1: Identify the numbers involved in the addition. They are 11 and 29.
  • Step 2: Add the units digits of both numbers. The numbers 11 and 29 have units digits of 1 and 9, respectively.

Let's add the units digits:

1+9=10 1 + 9 = 10

This results in a sum of 10. Place the 0 (which is the unit value) in the units place of the final answer, and carry over the 1 to the tens digit.

  • Step 3: Add the tens digits of both numbers. The tens digits are 1 (from 11) and 2 (from 29). Don't forget to include the carry-over 1 from the previous step.

Let's add the tens digits, including the carry-over:

1+2+1=4 1 + 2 + 1 = 4

The result is 4, and there is no need to carry over this time.

Step 4: Combine the calculated digits. The tens digit is 4, and the units digit is 0 from our previous operation.

Thus, the final sum is 40 40 .

Therefore, the solution to the problem is 40 \mathbf{40} .

3

Final Answer

40 40

Key Points to Remember

Essential concepts to master this topic
  • Rule: Add units first, then tens, carrying when needed
  • Technique: 1 + 9 = 10, write 0 and carry 1
  • Check: Count up from 29: 30, 31...40 equals 11 jumps ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to carry the 1 from units to tens
    Don't just write 10 in the units place = 1010 instead of 40! When units digits sum to 10 or more, you must write only the units digit (0) and carry the tens digit (1) to the next column. Always carry over when the sum is 10 or greater.

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 carry the 1 instead of writing 10?

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In our number system, each column can only hold one digit. When 1 + 9 = 10, the '1' belongs in the tens place and the '0' stays in the units place. Think of it like exchanging 10 ones for 1 ten!

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 gives you 30 instead of 40. Always remember to add any carried numbers to the next column.

Is there an easier way to add 11 + 29?

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Yes! You could think: 11 + 30 = 41, then subtract 1 to get 40. Or use the fact that 11 + 29 = 10 + 30 = 40. But learning the standard algorithm helps with bigger numbers!

How can I check if 40 is correct?

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Try these methods: 1) Add backwards: 29 + 11 should also equal 40. 2) Subtract: 40 - 11 should equal 29. 3) Use estimation: 10 + 30 = 40, so our answer makes sense!

What does 'carrying' actually mean?

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Carrying means moving extra value to the next place value column. When digits add up to 10 or more, we can't fit it all in one column, so we 'carry over' the extra to where it belongs!

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