Subtract 356 from 542: Column Method Practice Problem

542−356776‾ \begin{aligned} &542 \\ -& \\ &356\\ &\underline{\phantom{776}} & \\ \end{aligned}

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Step-by-step video solution

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00:00 Solve
00:03 Each time we consider a shortage of 2 digits, and then we place
00:06 2 is less than 6
00:10 Therefore we subtract 1 from the tens, and add this amount to the ones
00:14 So now instead of 2 we will have 12
00:18 We subtract the ones from the ones plus the ten
00:21 We place in the ones
00:27 3 is less than 5
00:31 Therefore we subtract 1 from the hundreds, and add this amount to the tens
00:37 So now instead of 3 we will have 13
00:41 We subtract the tens from the tens plus the ten
00:45 We place in the tens
00:49 We subtract hundreds from hundreds, and place in hundreds
00:53 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

542−356776‾ \begin{aligned} &542 \\ -& \\ &356\\ &\underline{\phantom{776}} & \\ \end{aligned}

2

Step-by-step solution

To begin solving the subtraction 542−356 542 - 356 , we will break it down step by step:

  • Step 1: Subtract the units digit
    - The units digits are 2 (from 542) and 6 (from 356).
    - Since 2 is smaller than 6, we need to borrow 1 ten from the tens place, changing it from 40 to 30 (of the minuend).
    - The borrowed 10 changes the 2 to 12: 12−6=6 12 - 6 = 6 .
  • Step 2: Subtract the tens digit
    - Now the tens digit is 3 (originally 4 but reduced to 3 due to borrowing) minus 5.
    - We need to borrow 1 hundred (from 5 hundreds), which changes it to 4 hundreds, making the tens digit 13.
    - Calculate 13−5=8 13 - 5 = 8 .
  • Step 3: Subtract the hundreds digit
    - The hundreds digit is 4 (from the previous borrow) minus 3 from the subtrahend.
    - Calculate 4−3=1 4 - 3 = 1 .

Thus, combining all these, we obtain the result of the subtraction: 186 186 .

Therefore, the solution to the problem is 186 186 .

3

Final Answer

186

Practice Quiz

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

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