Subtract 8571 from 66742: Multi-Digit Subtraction Practice

66742−  8571776‾ \begin{aligned} &66742 \\ -& \\ &~~8571 \\ &\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 we consider a shortage of 2 digits, and then we'll place
00:06 Now we subtract ones from ones, and we'll place in ones
00:09 4 is less than 7
00:14 And now we'll borrow ten from hundreds for the tens
00:19 Which will change the hundreds from 7 to 6
00:22 In other words, now instead of 4 we'll have 14, in tens!
00:28 Subtract tens from tens, and we'll place in tens
00:32 Subtract hundreds from hundreds, and we'll place in hundreds
00:37 6 is less than 8
00:42 We'll borrow one hundred thousand from hundred thousands for the thousands
00:47 In other words, now instead of 6 we'll have 16, in thousands!
00:52 Subtract thousands from thousands, and we'll place in thousands
00:57 Place 0 in the missing digits
01:02 Subtract tens of thousands from tens of thousands, and we'll place
01:06 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

66742−  8571776‾ \begin{aligned} &66742 \\ -& \\ &~~8571 \\ &\underline{\phantom{776}} & \\ \end{aligned}

2

Step-by-step solution

To solve this problem, we'll follow these steps:

  • Step 1: Write the numbers 66,742 and 8,571 vertically, aligning them by their right-hand digits.
  • Step 2: Start subtracting from the rightmost column (units):
    • Subtract 1 from 2: The result is 1.
  • Step 3: Move to the tens column:
    • Subtract 7 from 4. Since 4 is less than 7, we need to borrow 1 from the hundreds place, making it 14.
    • Subtract 7 from 14: The result is 7.
  • Step 4: Move to the hundreds column, remembering we borrowed 1, leaving us with 6 in the hundreds place:
    • Subtract 5 from 6: The result is 1.
  • Step 5: Move to the thousands column:
    • Subtract 8 from 6. Since 6 is less than 8, borrow 1 from the ten-thousands place, making it 16.
    • Subtract 8 from 16: The result is 8.
  • Step 6: Move to the ten-thousands column, remembering we borrowed 1, leaving us with 5:
    • Subtract 0 from 5: The result is 5.

Therefore, the solution to the problem is 58,171 58,171 .

3

Final Answer

58171

Practice Quiz

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

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