Place Value Subtraction: Finding Remainder After Removing 5 Tens and 4 Ones from 67

Base-Ten Subtraction with Multi-Digit Regrouping

If we have 67 blocks in total, how many blocks will remain if we remove 5 tens and 4 ones?

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

If we have 67 blocks in total, how many blocks will remain if we remove 5 tens and 4 ones?

2

Step-by-step solution

To solve this problem, let's consider the following steps:

  • Step 1: Understand the removal of blocks. We are removing 5 tens and 4 ones. One "ten" equals 10 units, so 5 tens equal 5×10=50 5 \times 10 = 50 units.
  • Step 2: Calculate the total number of blocks to be removed. We have 50 (from tens) + 4 (ones) = 54 units to be removed.
  • Step 3: Perform the subtraction from the total number of blocks. The total number of blocks is 67. Therefore, we calculate 6754=13 67 - 54 = 13 .

After performing the above calculations, we confirm that the number of blocks remaining is 13 13 .

3

Final Answer

13 13

Key Points to Remember

Essential concepts to master this topic
  • Place Value: Convert tens to units before subtracting mixed values
  • Calculation: First find total removal: 5×10+4=54 5 \times 10 + 4 = 54
  • Verification: Check by adding back: 13+54=67 13 + 54 = 67

Common Mistakes

Avoid these frequent errors
  • Subtracting tens and ones separately from original number
    Don't subtract 5 from the tens place and 4 from the ones place separately = wrong answer like 12! This ignores that we're removing actual blocks, not just digits. Always convert everything to the same units first, then subtract the total.

Practice Quiz

Test your knowledge with interactive questions

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

FAQ

Everything you need to know about this question

Why can't I just subtract 5 from 6 and 4 from 7?

+

Because we're removing actual blocks, not just working with digits! When you remove 5 tens, you're taking away 50 individual blocks, not just the digit 5.

How do I know when to convert tens to ones?

+

Always convert when you have mixed place values to subtract! This ensures you're working with the same units throughout your calculation.

What if I get confused about place value?

+

Think of it like money: 5 tens = 5 ten-dollar bills = $50. You wouldn't subtract $5 from $67, you'd subtract the full $54 total!

How can I check if my subtraction is correct?

+

Use addition to check: Add your answer to what you removed. If it equals the original amount, you're right! 13+54=67 13 + 54 = 67

Is there a visual way to understand this?

+

Yes! Picture the blocks shown in the diagram. Count out 6 groups of ten plus 7 single blocks. Then remove 5 groups of ten and 4 singles. Count what's left!

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Natural Numbers around 100 questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations