Subtract 750337 from 841274: Multi-digit Subtraction Practice

Multi-digit Subtraction with Borrowing

841274750337776 \begin{aligned} &841274 \\ -& \\ &750337 \\ &\underline{\phantom{776}} & \\ \end{aligned}

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:08 Let's solve the problem!
00:11 First, we subtract two digits at a time. Ready?
00:15 Notice, four is less than seven.
00:18 So, we'll borrow ten from the tens place.
00:21 This changes the tens from seven to six.
00:25 Now, we have fourteen in the ones place!
00:28 Subtract ones from ones, and place the result.
00:32 Then, subtract tens from tens, and place it.
00:37 Next, see two is less than three.
00:41 We borrow one hundred from the thousands.
00:45 This changes thousands from one to zero.
00:49 Now, we have twelve in hundreds!
00:52 Subtract hundreds from hundreds, and place the answer.
00:58 Next, subtract thousands from thousands, and place it.
01:03 Now, four is less than five.
01:07 We'll borrow from hundreds of thousands.
01:10 This changes hundreds of thousands from eight to seven.
01:14 Now, we have fourteen in tens of thousands!
01:18 Subtract tens of thousands, and place the result.
01:22 Lastly, subtract hundreds of thousands, and place the answer.
01:27 And that's how we solve this problem!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

841274750337776 \begin{aligned} &841274 \\ -& \\ &750337 \\ &\underline{\phantom{776}} & \\ \end{aligned}

2

Step-by-step solution

To solve this subtraction problem using vertical subtraction, we will follow these steps:

  • Step 1: Write the numbers in their respective place values, aligning the digits vertically based on units, tens, etc.
    841274750337    \begin{array}{c} 841274 \\ - 750337 ~~~\\ \hline \end{array}

  • Step 2: Begin subtracting from the rightmost column (the units column).

Subtracting each column, starting with the rightmost:

- Units place: 47 4 - 7 : Since 4 is smaller than 7, we borrow 1 from the tens place (making it 14), then subtract to get 147=7 14 - 7 = 7 .
- Tens place: After borrowing, we have 63=3 6 - 3 = 3 .
- Hundreds place: 23 2 - 3 : Again, we borrow from the thousands place, making it 12. Thus, 123=9 12 - 3 = 9 .
- Thousands place: After borrowing, we have 00=0 0 - 0 = 0 .
- Ten-thousands place: 45 4 - 5 : Borrow from the hundred-thousands place, resulting in 145=9 14 - 5 = 9 .
- Hundred-thousands place: Finally, 77=0 7 - 7 = 0 after borrowing.

Therefore, carrying out the subtraction yields the result:

90937 90937

This matches the correct answer choice.

The solution to the subtraction problem is 90937 90937 .

3

Final Answer

90937

Key Points to Remember

Essential concepts to master this topic
  • Rule: Always align digits by place value before subtracting
  • Technique: When subtracting 4-7, borrow from tens: 14-7=7
  • Check: Add your answer to subtrahend: 90937+750337=841274 ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to reduce borrowed digit
    Don't forget to reduce the borrowed digit by 1 = wrong calculations in every column! When you borrow 1 from the tens place (7 becomes 6), you must remember this change affects the next subtraction. Always mark borrowed digits to track changes.

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 happens when I need to borrow from zero?

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When borrowing from zero, you need to keep borrowing left until you reach a non-zero digit. For example, if you have 1000-1, borrow from the thousands: 1000 becomes 0999, then subtract normally.

Why do I sometimes get different answers than my friends?

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Most mistakes happen when borrowing or aligning digits incorrectly. Double-check that you've placed each digit in the correct column and reduced borrowed digits by 1.

How can I check if my subtraction is correct?

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The best way is addition! Add your answer to the number you subtracted. If you get the original number, you're correct: 90937+750337=841274 90937 + 750337 = 841274

Do I always need to borrow when subtracting?

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No! You only borrow when the top digit is smaller than the bottom digit. If 8-3, no borrowing needed. If 4-7, then you must borrow.

What if I borrow incorrectly in the middle?

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If you make a borrowing mistake, it affects all remaining columns. Start over or carefully check each step. Mark your borrowing clearly: cross out the original digit and write the new one above.

Why does my teacher want me to show borrowing marks?

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Borrowing marks help you track changes and avoid mistakes! They also show your teacher you understand the process, not just the final answer.

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