Subtract 6381 from 35476: Multi-digit Subtraction Problem

Multi-digit Subtraction with Borrowing

35476  6381776 \begin{aligned} &35476 \\ -& \\ &~~6381 \\ &\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
00:06 Let's solve the problem together.
00:09 First, look at the last two digits.
00:13 Subtract the ones digit from the ones. Put the answer in the ones pl ace.
00:20 Notice that 7 is smaller than 8. We need to borrow here.
00:25 Borrow 10 from the hundred's place, turning the hundreds from 4 to 3.
00:30 Now, 7 becomes 17 in the tens place.
00:35 Subtract the tens and place the result in the tens column.
00:40 Next, subtract the hundreds. Place the answer in the hundreds place.
00:45 Now, 5 is less than 6. We need to borrow again.
00:50 Borrow one hundred thousand from the hundred thousands for th e thousands place.
00:55 This means 5 becomes 15 in thousands!
01:00 Subtract the thousands and place the result in the thousands place.
01:05 If there are missing digits, place a 0 there.
01:09 Finally, subtract the tens of thousands and write the answer.
01:15 And that's how we solve this question!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

35476  6381776 \begin{aligned} &35476 \\ -& \\ &~~6381 \\ &\underline{\phantom{776}} & \\ \end{aligned}

2

Step-by-step solution

To solve this subtraction problem, we will perform the following steps:

  • Step 1: Align the numbers vertically by their rightmost digits:

3547606381 \begin{aligned} 35476& \\ -\phantom{0} 6381& \\ \end{aligned}

  • Step 2: Subtract each pair of digits, starting from the rightmost column. If a digit in the minuend is smaller than the digit in the subtrahend, we will perform borrowing:

    • Units: 6 (from 35476) - 1 (from 6381) = 5

    • Tens: 7 (from 35476) - 8 (from 6381): Borrow 1 from the next left digit in the minuend, making it 17 - 8 = 9

    • Hundreds: 3 (borrowed previous 1 made it 4) - 3 = 0

    • Thousands: 5 (from 35476) - 0 (as there is no thousands digit from 6381) = 5

    • Ten thousands: Borrow 1 was already accounted, 3 (from 35476) - 0 = 2 (no digit to subtract from 6381)

  • Step 3: Write down the final result from each subtraction calculation:

  • 29095 \begin{aligned} &29095 \\ \end{aligned}

Therefore, the solution to the problem is 29095 29095 .

3

Final Answer

29095

Key Points to Remember

Essential concepts to master this topic
  • Alignment: Stack numbers with rightmost digits lined up perfectly
  • Borrowing: When 7 < 8, borrow 1 from hundreds: 17 - 8 = 9
  • Check: Add your answer to subtrahend: 29095 + 6381 = 35476 ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to reduce the borrowed digit
    Don't borrow 1 from the hundreds place but forget to reduce 4 to 3 = wrong calculation! When you borrow, the digit you borrowed from decreases by 1. Always reduce the borrowed digit and add 10 to the borrowing digit.

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 do I need to borrow when subtracting?

+

You borrow when the top digit is smaller than the bottom digit. For example, 6 - 8 is impossible with whole numbers, so we borrow 1 from the next column to make it 16 - 8 = 8.

What happens to the digit I borrowed from?

+

The digit you borrowed from decreases by 1. In this problem, when we borrowed from 4 (hundreds place), it became 3. Don't forget this step!

How do I know if I borrowed correctly?

+

After borrowing, the digit should be at least 10 larger than before. Check: 7 became 17 after borrowing, and 17 - 8 = 9 makes sense!

What if there's a zero in the number I'm borrowing from?

+

If you need to borrow from a zero, you must borrow from the next non-zero digit to the left first. This creates a chain of borrowing that can be tricky but follows the same rules.

How can I check if my subtraction is correct?

+

Use addition to check! Add your answer to the number you subtracted: 29095+6381=35476 29095 + 6381 = 35476 . If you get the original larger number, you're right!

🌟 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