Subtract 750337 from 841274: Multi-digit Subtraction Practice

Q: What happens when I need to borrow from zero?

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.

Q: Why do I sometimes get different answers than my friends?

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.

Q: How can I check if my subtraction is correct?

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 $ ✓

Q: Do I always need to borrow when subtracting?

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.

Q: What if I borrow incorrectly in the middle?

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.

Q: Why does my teacher want me to show borrowing marks?

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

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:03 Each time consider subtracting 2 digits, and then we'll place

00:06 4 is less than 7

00:10 Now we'll borrow ten from the tens place for the ones place

00:13 Which will turn the tens from 7 to 6

00:16 And now we'll have 14 instead of 4, in the ones place!

00:20 Subtract ones from ones, and place in ones

00:24 Subtract tens from tens, and place in tens

00:29 2 is less than 3

00:33 Now we'll borrow hundred from thousands for the hundreds place

00:37 Which will turn the thousands from 1 to 0

00:41 And now we'll have 12 instead of 2, in hundreds!

00:44 Subtract hundreds from hundreds, and place in hundreds

00:50 Subtract thousands from thousands, and place in thousands

00:54 4 is less than 5

00:59 Therefore we'll borrow from hundreds of thousands, for tens of thousands

01:01 Which will turn the hundreds of thousands from 8 to 7

01:04 And now we'll have 14 instead of 4, in tens of thousands!

01:08 Subtract tens of thousands from tens of thousands, and place

01:12 Subtract hundreds of thousands from hundreds of thousands, and place

01:18 And this is the solution to the problem

Step-by-step written solution

Follow each step carefully to understand the complete solution

1

Understand the problem

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

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.
$\begin{array}{c} 841274 \\ - 750337 ~~~\\ \hline \end{array}$
Step 2: Begin subtracting from the rightmost column (the units column).

Subtracting each column, starting with the rightmost:

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

Therefore, carrying out the subtraction yields the result:

$90937$

This matches the correct answer choice.

The solution to the subtraction problem is $90937$ .

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?

+

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?

+

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?

+

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

Do I always need to borrow when subtracting?

+

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?

+

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?

+

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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Subtract 750337 from 841274: Multi-digit Subtraction Practice

Multi-digit Subtraction with Borrowing

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