Place Value Subtraction: Remove 41 from 85 Using Base-10 Blocks

Subtraction with Base-Ten Block Visualization

If we have 85 blocks in total, how many blocks will remain if we remove 4 tens and 1 one?

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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 85 blocks in total, how many blocks will remain if we remove 4 tens and 1 one?

2

Step-by-step solution

To solve this problem, we begin by calculating the total number of blocks to remove.

Step 1: Calculate the blocks in 4 tens.

  • A "ten" refers to 10 blocks. Thus, 4 tens equal 4×10=40 4 \times 10 = 40 blocks.

Step 2: Calculate the total blocks to remove by combining tens and ones.

  • We are also removing 1 more block, so the total becomes 40+1=41 40 + 1 = 41 blocks.

Step 3: Subtract the total removed blocks from the initial total to determine how many blocks remain.

  • 8541=44 85 - 41 = 44 .

Therefore, the number of blocks remaining is 44 44 .

3

Final Answer

44 44

Key Points to Remember

Essential concepts to master this topic
  • Place Value Rule: One ten equals 10 ones in base-ten blocks
  • Calculation Technique: Convert 4 tens to 40 blocks, then add 1 one
  • Verification Check: Count remaining blocks in diagram to confirm answer ✓

Common Mistakes

Avoid these frequent errors
  • Subtracting tens and ones separately
    Don't subtract 4 from the tens place and 1 from the ones place separately = 41 blocks remaining! This ignores place value conversion. Always convert everything to the same unit first: 4 tens = 40 blocks, then add 1 to get 41 total blocks to remove.

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 I need to convert tens to blocks first?

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Because the problem asks how many total blocks remain, not tens and ones separately. Converting helps you work with the same unit throughout: 4 tens=40 blocks 4 \text{ tens} = 40 \text{ blocks} .

How do I know what a 'ten' means in this problem?

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In base-ten blocks, a 'ten' is a long block representing 10 unit blocks. You can see this in the diagram where the long rectangles represent tens and small squares represent ones.

Can I just subtract 4 from 8 and 1 from 5?

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No! That would give you 41, which is wrong. You must convert everything to the same unit first. We're removing a total of 41 blocks, not working with separate place values.

How can I check my answer using the diagram?

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Count the blocks in the original diagram: 8 ten-blocks plus 5 one-blocks = 85 total. After removing 4 tens and 1 one, you should have 44 blocks remaining.

What's the difference between this and regular subtraction?

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Regular subtraction like 8541 85 - 41 gives the same answer, but this problem helps you visualize place value using concrete blocks. It's the same math, just shown differently!

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