Solve the Subtraction: 92443 minus 74526 in Vertical Format

Multi-Digit Subtraction with Borrowing

9244374526776 \begin{aligned} &92443 \\ -& \\ &74526 \\ &\underline{\phantom{776}} & \\ \end{aligned}

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1

Understand the problem

9244374526776 \begin{aligned} &92443 \\ -& \\ &74526 \\ &\underline{\phantom{776}} & \\ \end{aligned}

2

Step-by-step solution

Let's solve the subtraction problem 9244374526 92443 - 74526 .

Step-by-step Vertical Subtraction:

  1. Align the numbers, so each digit is in the correct place (thousands, hundreds, tens, units).
    19244374526 \begin{array}{c} \phantom{1}92443 \\ -74526 \\ \end{array}
  2. Subtract starting from the rightmost digit (units place). If the digit in the minuend is smaller, borrow from the next digit to the left.
    • Units: 36 3 - 6 requires borrowing. Borrow from the next digit (4 becomes 3), making it 136=7 13 - 6 = 7 .
    • Tens: 32=1 3 - 2 = 1 (after borrowing adjustment).
    • Hundreds: 45 4 - 5 requires borrowing. Borrow from the next digit (4 becomes 3), making it 145=9 14 - 5 = 9 .
    • Thousands: 34 3 - 4 requires borrowing. Borrow from the next digit (9 becomes 8), making it 134=9 13 - 4 = 9 .
    • Ten thousands: 87=1 8 - 7 = 1 (after borrowing adjustment).

    Therefore, the result of the subtraction 9244374526 92443 - 74526 is: 17917 17917 .

3

Final Answer

17917

Key Points to Remember

Essential concepts to master this topic
  • Place Value Alignment: Stack digits in proper columns for accurate calculation
  • Borrowing Technique: When 36 3 - 6 is impossible, borrow 1 from tens place
  • Verification: Add your answer to the subtrahend: 17917+74526=92443 17917 + 74526 = 92443

Common Mistakes

Avoid these frequent errors
  • Forgetting to adjust borrowed digits
    Don't subtract from the original digit after borrowing = wrong result! When you borrow 1 from the tens place (4 becomes 3), you must use the reduced digit for the next calculation. Always reduce the borrowed digit and use that new value.

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 the top digit is smaller?

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You can't subtract a larger number from a smaller one and get a positive result. Borrowing lets you 'take' 10 from the next column, making 3 3 become 13 13 so you can subtract!

What happens to the digit I borrow from?

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When you borrow 1 from a digit, that digit decreases by 1. So if you borrow from 4, it becomes 3. Remember to use this new reduced value in your next calculation!

How do I keep track of all the borrowing?

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Work column by column from right to left. Write small numbers above digits when you borrow to help remember the changes. Take your time - accuracy is more important than speed!

Can I check my answer without adding?

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Yes! You can also count up from the smaller number to the larger: 74526+?=92443 74526 + ? = 92443 . The missing amount should equal your subtraction answer.

What if I need to borrow from a zero?

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When borrowing from 0, you need to 'borrow from the borrow' - keep moving left until you find a non-zero digit, then work your way back right, turning each 0 into 9.

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