Solve Vertical Subtraction: 7015 minus 4246

Question

amp;7015amp;amp;4246amp;776amp; \begin{aligned} &7015 \\ -& \\ &4246 \\ &\underline{\phantom{776}} & \\ \end{aligned}

Video Solution

Solution Steps

00:00 Solve
00:03 Each time consider a shortage of 2 digits, and then we'll place
00:06 5 is less than 6
00:09 Therefore, we subtract 1 from the tens and add this amount to the ones
00:13 Meaning now instead of 5 we'll have 15
00:17 Subtract the ones from the ones plus ten
00:21 Place in ones
00:25 0 is less than 4
00:28 Therefore, we subtract 1 from the hundreds and add this amount to the tens
00:35 Meaning now instead of 0 we'll have 10
00:40 Subtract the tens from the tens plus ten
00:43 Place in tens
00:47 1 is less than 2
00:52 Therefore, we subtract 1 from the thousands and add this amount to the hundreds
00:57 Meaning now instead of 1 we'll have 11
01:03 Subtract the hundreds from the hundreds plus hundred
01:07 Place in hundreds
01:11 Subtract thousands from thousands, and place in thousands
01:14 And this is the solution to the question

Step-by-Step Solution

To solve the subtraction problem 701542467015 - 4246, we will proceed with vertical subtraction by following these steps:

  • Step 1: Write the numbers vertically, aligning by their place values.
  • Step 2: Start subtracting from the rightmost digit (units place).
  • Step 3: Handle borrowing (regrouping) where necessary:

Let's perform the subtraction:

Step 1: Align the numbers vertically:

70154246 \begin{array}{cccc} & & & 7015 \\ - & & & 4246 \\ \hline \end{array}

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

  • Units: 565 - 6 is not possible without borrowing, so we borrow 1 from the tens place.
  • This makes the units place 156=915 - 6 = 9.

Step 3: Move to the tens place:

  • After borrowing, tens: 00 becomes 1010, and you initially borrowed 11, so you'll have 1014=610 - 1 - 4 = 6.

Step 4: Move to the hundreds place:

  • The hundreds have already been adjusted for borrowing, it's originally 11 (borrowed from thousands), so computing 92=79 - 2 = 7.

Step 5: Move to the thousands place:

  • Finally, 74=37 - 4 = 3.

Thus, the result of the subtraction 701542467015 - 4246 is 27692769.

Therefore, the correct answer choice, comparing against the given options, is 2769, corresponding to choice 2769.

Answer

2769