Adding 28 Units to 53: Place Value Calculation Problem

Addition with Regrouping Across Place Values

The number 53 is shown as units and tens below:


What number do you get if you add 28 units?

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

The number 53 is shown as units and tens below:


What number do you get if you add 28 units?

2

Step-by-step solution

To solve this problem, we will add the numbers by employing the method of columnar addition:

  • Step 1: Add the units (rightmost digits) of both numbers:
    Given units: 3 3 (from 53) and 8 8 (from 28).
  • Calculate: 3+8=11 3 + 8 = 11 . Since this is more than 10, we write down 1 1 in the units place and carry over 1 1 to the tens place.
  • Step 2: Add the tens (leftmost digits) of both numbers:
    Given tens: 5 5 (from 53) and 2 2 (from 28).
  • Including the carry-over: 5+2+1=8 5 + 2 + 1 = 8 .
  • Place 8 8 in the tens place.

Therefore, the resulting number after adding 53 and 28 is 81 81 .

3

Final Answer

81 81

Key Points to Remember

Essential concepts to master this topic
  • Place Value Rule: Add units first, then regroup when sum exceeds 9
  • Regrouping Technique: From 3 + 8 = 11, write 1 and carry 1
  • Verification Check: Count total blocks: 5 tens + 3 units + 28 units = 81 ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to regroup when units sum exceeds 9
    Don't just write 11 in the units place = impossible single digit! When 3 + 8 = 11, you must write 1 in units and carry 1 to tens. Always regroup any sum of 10 or more.

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

Why can't I just write 11 in the units place?

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Each place can only hold one digit (0-9). When you get 11, that's really 1 ten and 1 unit, so you must split it up and carry the ten to the next column.

How do I know when to carry over?

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Carry over whenever your sum is 10 or greater. Write the ones digit in that column and carry the tens digit to the next column left.

What does 'regrouping' actually mean?

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Regrouping means exchanging units for the next higher place value. For example, 10 units = 1 ten, so we move that 1 to the tens column.

Can I add the tens column first instead?

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No! Always start with the rightmost column (units) and work left. You need to know if there's a carry-over before adding the tens.

How can I check if my answer is right?

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Try counting all the blocks in the diagram! You should have 8 tens (80) plus 1 unit = 81 total. You can also use subtraction: 8128=53 81 - 28 = 53

What if I have to carry more than 1?

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Sometimes you might carry 2, 3, or more! Just write the ones digit and carry the rest. For example, if you get 23, write 3 and carry 2.

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