Subtraction with Blocks: Calculate 72 - 45 Using Visual Decomposition

Subtraction with Regrouping Using Visual Models

If we have 72 blocks in total and we remove 45 of those blocks, how many blocks remain? Remember you can break down a row of 10 blocks into single units.

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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 72 blocks in total and we remove 45 of those blocks, how many blocks remain? Remember you can break down a row of 10 blocks into single units.

2

Step-by-step solution

To solve this problem, we'll perform a simple subtraction:

  • Step 1: Identify the given numbers: Total blocks = 72, Blocks to remove = 45.
  • Step 2: Subtract the number of blocks being removed from the total number of blocks.

Let's perform the subtraction step-by-step:

7245 72 - 45

First, subtract the units digit: 25 2 - 5 .

Since 2 is smaller than 5, we need to borrow from the tens column:

  • Borrow 1 ten from the 7 (in 72), making it 6.
  • The units now become 12.

Now subtract the units digits: 125=7 12 - 5 = 7 .

Next, subtract the tens digits: 64=2 6 - 4 = 2 .

Combine the results to get the number remaining:

The number of blocks remaining after removing 45 from 72 is 27 27 .

This matches the correct choice among the provided answers, which is option 3: 27 27 .

Therefore, the solution to the problem is 27 27 .

3

Final Answer

27 27

Key Points to Remember

Essential concepts to master this topic
  • Rule: Regroup one ten as ten ones when needed
  • Technique: Borrow from tens column: 72 becomes 6 tens + 12 ones
  • Check: Count remaining blocks or add answer to subtrahend: 27 + 45 = 72 ✓

Common Mistakes

Avoid these frequent errors
  • Subtracting smaller digit from larger without regrouping
    Don't subtract 2 - 5 = 3 when the ones digit is smaller! This ignores place value and gives wrong answers like 33 instead of 27. Always regroup by borrowing from the tens place when the ones digit is too small.

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 subtract 2 - 5 = 3?

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Because 2 is smaller than 5! You can't take away more blocks than you have in the ones place. You need to borrow from the tens column first, making it 12 - 5 = 7.

How does borrowing work with blocks?

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Think of it like breaking apart a row of 10 blocks. When you borrow 1 ten, you're trading one complete row for 10 individual blocks that you can add to your ones column!

What if I forget to reduce the tens digit after borrowing?

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You'll get the wrong answer! When you borrow 1 ten from 7 tens, you must write down 6 tens, not 7. Always remember: borrowing means taking away from the tens place.

Can I check my answer using addition?

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Yes! Add your answer to the number you subtracted: 27+45=72 27 + 45 = 72 . If you get back to your starting number, you're correct!

Do I always need to regroup in subtraction?

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No, only when the top digit is smaller than the bottom digit in any column. For example, in 87 - 23, you don't need to regroup because 7 > 3 and 8 > 2.

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