Addition Problem: Calculate 65 + 27 Blocks Total

Two-Digit Addition with Place Value Regrouping

If we have 65 blocks and we add a further 27 blocks, how many blocks will we have in total?

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

If we have 65 blocks and we add a further 27 blocks, how many blocks will we have in total?

2

Step-by-step solution

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

  • Step 1: Align the numbers vertically by place value.

  • Step 2: Add the ones place digits and handle any carrying over if necessary.

  • Step 3: Add the tens place digits, including any carried over value.

Let's work through each step:
Step 1: Write the numbers 65 and 27 one below the other:

65+27 \begin{aligned} & 65 \\ + & 27 \\ \end{aligned}

Step 2: Starting with the ones place, add 5 and 7 to get 12. Write down 2 and carry over 1 to the tens place.
Step 3: In the tens place, add 6 and 2, plus the carried over 1, giving a total of 9.

The calculation results in:

65+2792 \begin{aligned} & 65 \\ + & 27 \\ &\over92 \\ \end{aligned}

Therefore, the total number of blocks is 92 92 .

3

Final Answer

92 92

Key Points to Remember

Essential concepts to master this topic
  • Alignment Rule: Stack numbers by place value - ones under ones, tens under tens
  • Carry Technique: When 5 + 7 = 12, write 2 and carry 1 to tens place
  • Verification: Check by adding backwards: 92 - 27 = 65 ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to carry the regrouped digit to the next place value
    Don't just write down 12 in the ones place = wrong answer of 6512! When ones digits sum to 10 or more, you must carry the tens digit to the tens column. Always regroup by writing the ones digit and carrying the tens digit left.

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 'carry over' mean in addition?

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When adding digits gives you 10 or more, you write the ones digit and carry the tens digit to the next column left. Like when 5 + 7 = 12, write 2 and carry the 1!

Why do I need to line up the numbers vertically?

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Place value alignment is crucial! Ones must be under ones, tens under tens. If numbers aren't aligned properly, you'll add the wrong digits together and get incorrect results.

What if I forget to add the carried number?

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Always remember to add your carried digit to the next column! In this problem, 6 + 2 + 1 (carried) = 9. Forgetting the carried 1 would give you 8 instead of 9.

How can I check if my addition is correct?

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Use subtraction to check: 92 - 27 should equal 65, or 92 - 65 should equal 27. You can also add the numbers in reverse order: 27 + 65 = 92.

Do I always carry when adding?

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No! You only carry when the sum of digits in a column is 10 or greater. If 3 + 4 = 7, just write 7 - no carrying needed!

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