Subtract 4 from 72: Base-10 Block Decomposition Problem

Subtraction with Base-10 Block Representation

If we have 72 blocks in total and we remove 4 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 4 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 will perform a simple subtraction of the number of removed blocks from the total number of blocks.

  • Step 1: Identify the total number of blocks and the blocks removed.
  • Step 2: Use the formula for subtraction to determine the remaining blocks: Remaining blocks=Initial blocksRemoved blocks \text{Remaining blocks} = \text{Initial blocks} - \text{Removed blocks} .
  • Step 3: Perform the calculation.

Now, let's work through each step:

Step 1: We start with 72 72 blocks and remove 4 4 blocks.

Step 2: Using the subtraction formula mentioned, we compute:
724=68 72 - 4 = 68 .

Step 3: Therefore, after removing 4 blocks, the number of blocks that remain is 68 68 .

Thus, the solution to the problem is 68\mathbf{68}.

3

Final Answer

68 68

Key Points to Remember

Essential concepts to master this topic
  • Subtraction Rule: Total blocks minus removed blocks equals remaining blocks
  • Visual Method: Count 7 tens + 2 ones = 72, then subtract 4
  • Check: Verify 68+4=72 68 + 4 = 72 matches original amount ✓

Common Mistakes

Avoid these frequent errors
  • Confusing addition and subtraction operations
    Don't add the removed blocks to the total = 76! This gives you more blocks than you started with, which is impossible when removing blocks. Always subtract: 72 - 4 = 68.

Practice Quiz

Test your knowledge with interactive questions

Add fifty units to the number 31.

What is the resulting number?

FAQ

Everything you need to know about this question

Why do we use base-10 blocks for this problem?

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Base-10 blocks help visualize the numbers! You can see 72 as 7 long strips (tens) plus 2 individual blocks (ones). This makes subtraction easier to understand.

What if I need to break apart a ten-block?

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Great question! If you need to subtract more ones than you have, you can break apart one ten-block into 10 individual blocks. This is called regrouping or borrowing.

How do I know which operation to use?

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Look for key words: 'remove', 'take away', or 'subtract' mean use subtraction. The problem says 'remove 4 blocks', so we subtract!

Can I solve this without the blocks diagram?

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Absolutely! You can solve 724=68 72 - 4 = 68 directly. The blocks just help you visualize what's happening with the numbers.

What's the easiest way to check my answer?

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Use addition to check subtraction! If 72 - 4 = 68, then 68 + 4 should equal 72. Since it does, your answer is correct!

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