Subtract 624867 - 616483: Multi-Digit Arithmetic Practice

Q: What do I do when the top digit is smaller than the bottom digit?

You need to borrow from the next place value to the left! Add 10 to your current digit and subtract 1 from the digit you borrowed from.

Q: Why do I start subtracting from the right side?

We start from the ones place (rightmost) because borrowing affects the digits to the left. Working right to left ensures we handle all borrowing correctly.

Q: What if I need to borrow from a zero?

Look further left until you find a non-zero digit to borrow from. That digit becomes 9, and all zeros in between become 9s too. Example: 1000 becomes 0999 when borrowing.

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

Use addition to check! Add your answer to the number you subtracted. If you get the original larger number, your subtraction is correct.

Q: Do I write down all the borrowing steps?

Yes! Write small numbers above the digits to show your borrowing. This helps you keep track and avoid mistakes, especially with multiple borrowing steps.

Multi-Digit Subtraction with Borrowing

$\begin{aligned} &624867 \\ -& \\ &616483 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

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Step-by-step written solution

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Understand the problem

$\begin{aligned} &624867 \\ -& \\ &616483 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

Step-by-step solution

To solve this subtraction problem, follow these steps:

Step 1: Align the numbers according to place values:
$\begin{array}{r} 624867 \\ - 616483 \\ \end{array}$
Step 2: Subtract the digits starting from the rightmost digit:
- Units place: $7 - 3 = 4$
- Tens place: $6 - 8$ . Since 6 is less than 8, we borrow 1 from the hundreds place, making it $16 - 8 = 8$ .
- Hundreds place: $8$ became $7$ after borrowing, so $7 - 4 = 3$ .
- Thousands place: $4 - 6$ requires borrowing from the ten-thousands place. After borrowing, it is $14 - 6 = 8$ .
- Ten-thousands place: $2$ became $1$ due to previous borrowing, so $1 - 1 = 0$ .
- Hundred-thousands place: $6 - 6 = 0$ .
Compile the results from each place: $08384$ .

Therefore, the solution to the subtraction problem is $8384$ , which matches choice 1.

Final Answer

8384

Key Points to Remember

Essential concepts to master this topic

Alignment: Place values must line up correctly before subtracting
Borrowing: When 6 < 8, borrow from hundreds: 16 - 8 = 8
Verification: Add your answer to the smaller number: 8384 + 616483 = 624867 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to reduce the borrowed digit
Don't borrow 1 from the hundreds place without reducing 8 to 7 = wrong calculations in next steps! This creates errors that cascade through remaining digits. Always reduce the digit you borrowed from by 1.

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

What do I do when the top digit is smaller than the bottom digit?

You need to borrow from the next place value to the left! Add 10 to your current digit and subtract 1 from the digit you borrowed from.

Why do I start subtracting from the right side?

We start from the ones place (rightmost) because borrowing affects the digits to the left. Working right to left ensures we handle all borrowing correctly.

What if I need to borrow from a zero?

Look further left until you find a non-zero digit to borrow from. That digit becomes 9, and all zeros in between become 9s too. Example: 1000 becomes 0999 when borrowing.

How can I check if my subtraction is correct?

Use addition to check! Add your answer to the number you subtracted. If you get the original larger number, your subtraction is correct.

Do I write down all the borrowing steps?

Yes! Write small numbers above the digits to show your borrowing. This helps you keep track and avoid mistakes, especially with multiple borrowing steps.

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