Solve Vertical Subtraction: 6210 minus 4242

Question

amp;6210amp;amp;4242amp;776amp; \begin{aligned} &6210 \\ -& \\ &4242 \\ &\underline{\phantom{776}} & \\ \end{aligned}

Video Solution

Solution Steps

00:00 Solve
00:03 Each time we consider a subtraction of 2 digits, and then we'll place
00:06 0 is less than 2
00:09 Therefore we subtract 1 from the tens, and add this amount to the ones
00:17 That means now instead of 0 we'll have 10
00:22 We subtract the ones from the ones plus ten
00:25 We place in the ones
00:28 0 is less than 4
00:34 Therefore we subtract 1 from the hundreds, and add this amount to the tens
00:38 That means now instead of 0 we'll have 10
00:42 We subtract the tens from the tens plus ten
00:45 We place in the tens
00:50 1 is less than 2
00:53 Therefore we subtract 1 from the thousands, and add this amount to the hundreds
00:59 That means now instead of 1 we'll have 11
01:06 We subtract the hundreds from the hundreds plus hundred
01:09 We place in the hundreds
01:13 We subtract thousands from thousands, and place in thousands
01:17 And this is the solution to the question

Step-by-Step Solution

Let's solve the subtraction problem step-by-step:

We have:

62104242     \begin{array}{c} 6210 \\ - \, 4242 ~~~~\\ \hline \end{array}

  • Step 1: Subtract the units place.

The units digit of the minuend (0) is less than the units digit of the subtrahend (2). We need to borrow. Borrowing from the tens place changes the 1 to a 0 in the tens place and the units place becomes 10. Finally, 10 - 2 = 8.

  • Step 2: Subtract the tens place.

After borrowing, the tens digit in the minuend is 0, with the subtrahend having a tens digit of 4. We need to borrow from the hundreds place. Borrowing changes the hundreds digit of the minuend from 2 to 1, and the tens digit becomes 10. Finally, 10 - 4 = 6.

  • Step 3: Subtract the hundreds place.

The hundreds digit of the minuend after borrowing is 1, while the subtrahend has 2. We borrow once more from the thousands place. The thousands digit decreases from 6 to 5, making the hundreds digit 11. So, 11 - 2 = 9.

  • Step 4: Subtract the thousands place.

Now, the thousands digit of the minuend is 5, and the subtrahend digit is 4. Simply perform the subtraction: 5 - 4 = 1.

Putting it all together, the result of the subtraction is 1968.

Therefore, the solution to the problem is 1968 1968 .

Answer

1968