Solve the Subtraction Problem: 89755 minus 4944

Multi-Digit Subtraction with Borrowing

89755  4944776 \begin{aligned} &89755 \\ -& \\ &~~4944 \\ &\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 consider a shortage of 2 digits, and then we'll place
00:06 Now we subtract ones from ones, and place in ones
00:09 Subtract tens from tens, and place in tens
00:13 7 is less than 9
00:17 Borrow a thousand from thousands for the hundreds
00:24 In other words, now instead of 7 we'll have 17, in hundreds!
00:29 Subtract hundreds from hundreds, and place in hundreds
00:35 Subtract thousands from thousands, and place in thousands
00:38 Place 0 in the missing digits
00:41 Subtract tens of thousands from tens of thousands, and place
00:44 And that's the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

89755  4944776 \begin{aligned} &89755 \\ -& \\ &~~4944 \\ &\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: Align the numerals of 89755 and 4944 vertically, such that the units, tens, hundreds, etc., are in line with each other.
  • Step 2: Begin by subtracting the rightmost digits, moving left. If the top digit is smaller than the bottom digit, perform borrowing operation from the next left column.

Let's perform the subtraction:

89755494484811\begin{array}{cccccc} & 8 & 9 & 7 & 5 & 5\\ - & & 4 & 9 & 4 & 4\\ \hline & 8 & 4 & 8 & 1 & 1\\ \end{array}

Here's how the subtraction is processed:

  • Subtract the rightmost digits: 54=15 - 4 = 1.
  • Next, in the tens column: 54=15 - 4 = 1.
  • In the hundreds column, 7 is smaller than 9, so we borrow 1 from the thousands place: 179=817 - 9 = 8.
  • In the thousands place, we adjust for borrowing: now 84=48 - 4 = 4.
  • Finally, in the ten thousands place: since no borrowing affected this initial value, 80=88 - 0 = 8.

Therefore, the result of the subtraction 89755494489755 - 4944 is 84811\mathbf{84811}.

3

Final Answer

84811

Key Points to Remember

Essential concepts to master this topic
  • Alignment: Stack numbers by place value with units column aligned
  • Borrowing: When 7 < 9, borrow from thousands: 17 - 9 = 8
  • Verification: Add answer to subtrahend: 84811 + 4944 = 89755 ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to reduce the borrowed-from digit
    Don't borrow 1 from the thousands place but forget to change 9 to 8 = wrong answer like 94811! This creates an extra digit that shouldn't exist. 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

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 'trade' 1 from the next column for 10 in the current column, making subtraction possible.

How do I know which column to borrow from?

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Always borrow from the column immediately to the left. If that column is 0, keep moving left until you find a non-zero digit to borrow from.

What happens to the digit I borrow from?

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The digit you borrow from gets reduced by 1. For example, if you borrow from 9, it becomes 8. This is crucial - forgetting this step leads to wrong answers!

Can I check my subtraction answer?

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Yes! Addition is the opposite of subtraction. Add your answer to the number you subtracted: 84811+4944=89755 84811 + 4944 = 89755 . If you get the original number, you're correct!

What if there are zeros in the number I'm borrowing from?

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When you encounter a 0, you need to borrow from further left. The 0 becomes 9 after borrowing, and you continue the process until you reach a non-zero digit.

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