Subtract 106 from 404: Vertical Format Solution

Subtraction with Borrowing from Zero

404106776 \begin{aligned} &404 \\ -& \\ &106 \\ &\underline{\phantom{776}} & \\ \end{aligned}

❤️ Continue Your Math Journey!

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

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 Each time we consider borrowing 2 digits, and then we'll place
00:06 4 is less than 6
00:09 The tens digit is also equal to 0 so we can't borrow from it
00:14 We'll borrow a hundred from the hundreds place for the tens
00:18 So now instead of 0 we'll have 10 in the tens place!
00:22 And now we'll borrow ten from the tens place for the ones
00:26 Which will change the tens from 10 to 9
00:29 So now instead of 4 we'll have 14 in the ones place!
00:35 Now we subtract ones from ones, and place in ones
00:39 Subtract tens from tens, and place in tens
00:43 Subtract hundreds from hundreds, and place in hundreds
00:48 And that's the solution to the problem

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

404106776 \begin{aligned} &404 \\ -& \\ &106 \\ &\underline{\phantom{776}} & \\ \end{aligned}

2

Step-by-step solution

Let's solve the subtraction problem 404106404 - 106 step-by-step:

  • Align the numbers vertically by their place values:
  • 0404106 \begin{array}{c} \phantom{0}404 \\ -106 \\ \end{array}
  • Subtract starting from the rightmost column (ones):
  • The ones column: 464 - 6 requires borrowing.

    • We need to borrow from the tens column. However, the tens column in 404 has a zero, so we proceed to the hundreds column.
    • Borrow 1 from the hundreds column, turning 4 into 3, and the tens zero into 10.
    • Then, borrow again from the new tens column (10), turning it into 9 and adding 10 to the ones, making it 14.
    • Subtract: 146=814 - 6 = 8.
  • Subtract the tens column:
  • Now, subtract the tens column: 90=99 - 0 = 9.

  • Subtract the hundreds column:
  • Finally, for the hundreds column: 31=23 - 1 = 2.

So, putting it all together, the result of subtracting 106106 from 404404 is 298298.

Therefore, the solution to the subtraction problem is 298298.

3

Final Answer

298

Key Points to Remember

Essential concepts to master this topic
  • Alignment Rule: Line up numbers by place values before subtracting
  • Borrowing Technique: When subtracting from zero, borrow from next non-zero digit
  • Verification: Add your answer to the subtrahend: 298 + 106 = 404 ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to borrow properly from zero digits
    Don't skip over the zero in the tens place when borrowing = wrong calculations like 404 - 106 = 208! The zero must become 10 after borrowing from hundreds, then become 9 after lending to ones. Always borrow step-by-step through each place value.

Practice Quiz

Test your knowledge with interactive questions

\( \begin{aligned} &15 \\ -& \\ &~~4 \\ &\underline{\phantom{776}} & \\ \end{aligned} \)

FAQ

Everything you need to know about this question

Why can't I just subtract 6 from 4 in the ones place?

+

You can't subtract a larger number from a smaller one! When the top digit is smaller, you must borrow from the next column to make it bigger before subtracting.

What do I do when there's a zero in the column I need to borrow from?

+

Keep moving left until you find a non-zero digit! Borrow from there, then work your way back right, turning each zero into 10 and reducing it by 1 as you go.

How do I know I borrowed correctly?

+

After borrowing, the ones place should be 14 - 6 = 8, tens should be 9 - 0 = 9, and hundreds should be 3 - 1 = 2. Each step should make sense!

Is there an easier way to check my subtraction?

+

Yes! Use addition to check: 298+106=404 298 + 106 = 404 . If you get back to your original number, your subtraction is correct!

Why does borrowing make the problem so complicated?

+

Borrowing follows the same rules as trading money! Just like trading a $10 bill for ten $1 bills, we trade 1 ten for 10 ones. It keeps everything balanced and fair.

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Arithmetic Operations 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