Solve Vertical Subtraction: 8731 minus 3252

Vertical Subtraction with Borrowing

87313252776 \begin{aligned} &8731 \\ -& \\ &3252 \\ &\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 it's considered a shortage of 2 digits, and then we place
00:07 1 is less than 2
00:12 Therefore we subtract 1 from the tens and add this amount to the ones
00:15 Meaning now instead of 1 we will have 11
00:19 We subtract the ones from the ones plus the ten
00:22 We place in the ones
00:25 2 is less than 5
00:29 Therefore we subtract 1 from the hundreds and add this amount to the tens
00:34 Meaning now instead of 2 we will have 12
00:40 We subtract the tens from the tens plus the ten
00:44 We place in the tens
00:47 We subtract hundreds from hundreds, and place in hundreds
00:52 We subtract thousands from thousands, and place in thousands
00:56 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

87313252776 \begin{aligned} &8731 \\ -& \\ &3252 \\ &\underline{\phantom{776}} & \\ \end{aligned}

2

Step-by-step solution

The solution involves the vertical subtraction of 873132528731 - 3252. Let's break it down step-by-step:

  • Step 1: Align the numbers at the units column for vertical subtraction:
    87313252 \begin{array}{c} &8 & 7 & 3 & 1 \\ - & 3 & 2 & 5 & 2 \\ \hline \end{array}

  • Step 2: Subtract the units place: 121 - 2. Since 11 is smaller than 22, we need to borrow from the tens.
    Borrowing from 33 (tens), which becomes 22, and the units position turns from 11 to 1111. Now subtract: 112=911 - 2 = 9.

  • Step 3: Move to the tens place: 252 - 5. Again, 22 is smaller than 55, borrow from the hundreds.
    Borrow from 77 (hundreds), which becomes 66, and the tens becomes 1212. Now subtract: 125=712 - 5 = 7.

  • Step 4: Move to the hundreds place: 626 - 2. This results in 44.

  • Step 5: Finally, move to the thousands place: 838 - 3. This results in 55.

  • Scale down the entire calculation:
    5479 5479

Therefore, the result of 873132528731 - 3252 is 5479\textbf{5479}.

This corresponds to choice 4:

5479

.

3

Final Answer

5479

Key Points to Remember

Essential concepts to master this topic
  • Alignment: Stack numbers with units, tens, hundreds, thousands columns lined up
  • Borrowing: When top digit is smaller, borrow 10 from next column left
  • Check: Add your answer to the subtracted number: 5479 + 3252 = 8731 ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to reduce the borrowed-from digit
    Don't borrow 10 from the tens place but forget to reduce 3 to 2 = wrong calculation! This leaves the borrowed amount uncounted and gives incorrect results. Always reduce the digit you borrowed from by 1.

Practice Quiz

Test your knowledge with interactive questions

\( \begin{aligned} &105 \\ -& \\ &~~~~3 \\ &\underline{\phantom{776}} & \\ \end{aligned} \)

FAQ

Everything you need to know about this question

What does 'borrowing' actually mean in subtraction?

+

Borrowing means taking 10 from the next column to the left when the top digit is too small. It's like exchanging one ten for ten ones, or one hundred for ten tens!

Why do I start from the right side (units column)?

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We work from right to left because borrowing affects the column to the left. Starting from the units column ensures we handle all borrowing correctly as we move left.

What if I need to borrow from a zero?

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When borrowing from 0, you need to borrow from the next non-zero digit to the left first. The 0 becomes 10, then you can borrow from it normally.

How can I check if my subtraction is correct?

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Add your answer to the number you subtracted. Example: 5479+3252=8731 5479 + 3252 = 8731 . If you get the original top number, your answer is right!

Do I always need to borrow in subtraction?

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No! You only borrow when the top digit is smaller than the bottom digit in any column. If the top digit is larger or equal, just subtract normally.

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