Subtract 6381 from 35476: Multi-digit Subtraction Problem

Multi-digit Subtraction with Borrowing

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

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 Each time consider a shortage of 2 digits, and then we'll place
00:06 Now we subtract ones from ones, and we'll place in ones
00:09 7 is less than 8
00:13 And now we'll borrow ten from hundreds for the tens
00:16 Which will turn the hundreds from 4 to 3
00:20 In other words, now instead of 7 we'll have 17, in tens!
00:24 Subtract tens from tens, and we'll place in tens
00:30 Subtract hundreds from hundreds, and we'll place in hundreds
00:35 5 is less than 6
00:39 We'll borrow one hundred thousand from hundred thousands for the thousands
00:44 In other words, now instead of 5 we'll have 15, in thousands!
00:49 Subtract thousands from thousands, and we'll place in thousands
00:58 Place 0 in the missing digits
01:01 Subtract tens of thousands from tens of thousands, and we'll place
01:04 And this is the solution to the 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?

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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?

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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?

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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?

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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!

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