Subtract 4272 from 51843: Vertical Format Multi-digit Subtraction

51843  4272776 \begin{aligned} &51843\\ -& \\ &~~4272 \\ &\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 this together!
00:11 First, subtract two digits each time.
00:15 Subtract the ones digit from the ones place.
00:18 Notice, 4 is less than 7.
00:21 We need to borrow from the hundreds to help the tens.
00:25 The hundreds change from 8 to 7.
00:29 Now, instead of 4, we have 14 in the tens place.
00:34 Subtract the tens digits and place the result in tens.
00:39 Subtract the hundreds digits and place the result in hundreds.
00:44 See, 1 is less than 4.
00:49 We borrow from hundred thousands for the thousands.
00:55 So, now instead of 1, we have 11 in the thousands place.
01:00 Subtract the thousands digits and place in thousands.
01:05 Remember to place 0 in any missing digits.
01:08 Finally, subtract the ten thousands and place the result.
01:13 And there you have it, the solution to the problem!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

51843  4272776 \begin{aligned} &51843\\ -& \\ &~~4272 \\ &\underline{\phantom{776}} & \\ \end{aligned}

2

Step-by-step solution

To solve this problem, we'll use the column subtraction method:

  • Step 1: Write the numbers vertically, aligning them by place value:

  • Step 2: Subtract each digit starting from the rightmost (units) place:

12 51843104272 \begin{array}{c} \phantom{12\ } 51843 \\ - \phantom{10} 4272 \\ \hline \end{array}

Step 3: Units place: 32=13 - 2 = 1.

Step 4: Tens place: 474 - 7. Here, we need to borrow 1 from the hundreds place, so it becomes 147=714 - 7 = 7. After borrowing, the hundreds digit from 8 becomes 7.

Step 5: Hundreds place: 72=57 - 2 = 5.

Step 6: Thousands place: 141 - 4. Again, we borrow 1 from the ten-thousands place, so it becomes 114=711 - 4 = 7. After borrowing, the ten-thousands digit from 5 becomes 4.

Step 7: Ten-thousands place: 40=44 - 0 = 4.

The completed subtraction is:

12 5184310427210 47571 \begin{array}{c} \phantom{12\ } 51843 \\ - \phantom{10} 4272 \\ \hline \phantom{10\ } 47571 \\ \end{array}

Therefore, the solution to the problem is 47571 47571 .

3

Final Answer

47571

Practice Quiz

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\( \begin{aligned} &105 \\ -& \\ &~~~~3 \\ &\underline{\phantom{776}} & \\ \end{aligned} \)

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