Solve Vertical Subtraction: 8731 minus 3252

Question

amp;8731amp;amp;3252amp;776amp; \begin{aligned} &8731 \\ -& \\ &3252 \\ &\underline{\phantom{776}} & \\ \end{aligned}

Video Solution

Solution Steps

00:00 Solve
00:03 Each time it's considered a shortage of 2 digits, and then we place
00:07 1 is less than 2
00:12 Therefore we subtract 1 from the tens and add this amount to the ones
00:15 Meaning now instead of 1 we will have 11
00:19 We subtract the ones from the ones plus the ten
00:22 We place in the ones
00:25 2 is less than 5
00:29 Therefore we subtract 1 from the hundreds and add this amount to the tens
00:34 Meaning now instead of 2 we will have 12
00:40 We subtract the tens from the tens plus the ten
00:44 We place in the tens
00:47 We subtract hundreds from hundreds, and place in hundreds
00:52 We subtract thousands from thousands, and place in thousands
00:56 And this is the solution to the question

Step-by-Step Solution

The solution involves the vertical subtraction of 873132528731 - 3252. Let's break it down step-by-step:

  • Step 1: Align the numbers at the units column for vertical subtraction:
    amp;8amp;7amp;3amp;1amp;3amp;2amp;5amp;2 \begin{array}{c} &8 & 7 & 3 & 1 \\ - & 3 & 2 & 5 & 2 \\ \hline \end{array}

  • Step 2: Subtract the units place: 121 - 2. Since 11 is smaller than 22, we need to borrow from the tens.
    Borrowing from 33 (tens), which becomes 22, and the units position turns from 11 to 1111. Now subtract: 112=911 - 2 = 9.

  • Step 3: Move to the tens place: 252 - 5. Again, 22 is smaller than 55, borrow from the hundreds.
    Borrow from 77 (hundreds), which becomes 66, and the tens becomes 1212. Now subtract: 125=712 - 5 = 7.

  • Step 4: Move to the hundreds place: 626 - 2. This results in 44.

  • Step 5: Finally, move to the thousands place: 838 - 3. This results in 55.

  • Scale down the entire calculation:
    5479 5479

Therefore, the result of 873132528731 - 3252 is 5479\textbf{5479}.

This corresponds to choice 4:

5479

.

Answer

5479