Examples with solutions for Vertical Subtraction: Borrowing across zeros

Exercise #1

amp;700amp;amp;145amp;776amp; \begin{aligned} &700 \\ -& \\ &145 \\ &\underline{\phantom{776}} & \\ \end{aligned}

Video Solution

Step-by-Step Solution

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

  • Step 1: Align the numbers vertically, ensuring that each column corresponds to the correct place value.

  • Step 2: Begin subtracting from the rightmost digit (units column) and move left, borrowing where necessary.

  • Step 3: If a zero is present in a column and borrowing is needed, borrow from the next higher place value column.

Let's apply these steps using the numbers 700 700 and 145 145 :

Step 1: Align the numbers:
0700\phantom{0}700
-0145\phantom{0}145
- - - - - -

Step 2: Begin with the units column (rightmost):
0 - 5.
We cannot subtract 5 from 0, so we need to borrow from the tens column.
But, the tens column is also 0, so we need to borrow from the hundreds column.

Step 3: Borrow 1 from the hundreds place (making it 6) and convert it to 10 tens in the tens column (makes the tens column 10).
Now borrow 1 ten (making the tens column 9) to turn the units column into 10.

Now solve:
amp;060amp;9amp;10amp;1amp;4amp;5 \begin{array}{c} &\phantom{0}6\phantom{0}&9&10 \\ - & 1 & 4 & 5 \\ \end{array}
Units column: 10 - 5 = 5
Tens column: 9 - 4 = 5
Hundreds column: 6 - 1 = 5

Therefore:

07000145     555 \begin{array}{c} \phantom{0}700 \\ -\phantom{0}145~~~ \\ ~~\overline{555} \\ \end{array}

The correct answer to the problem is 555 555 .

Answer

555

Exercise #2

amp;602amp;amp;247amp;776amp; \begin{aligned} &602 \\ -& \\ &247 \\ &\underline{\phantom{776}} & \\ \end{aligned}

Video Solution

Step-by-Step Solution

To solve this subtraction problem, we need to subtract 247247 from 602602. We'll approach it step-by-step:

  • Begin with the rightmost digits: Subtract 77 from 22. Since 22 is smaller than 77, we must borrow.

  • Borrow from the tens place: Reduce the next digit left (0 in the tens place) by 1. However, since it's 00, continue borrowing from the hundreds place.

  • The hundreds place 66 reduces to 55, making the tens 1010. Borrow 11 from these 1010, making the tens 99 and increasing the units place to 12.

  • Now, subtract: 127=512 - 7 = 5.

  • For the tens place, subtract 44 from 99 (after adjustment): 94=59 - 4 = 5.

  • Finally, the hundreds place: Subtract 22 from 55, giving 52=35 - 2 = 3.

The subtraction gives us the number 355355.

Answer

355

Exercise #3

amp;505amp;amp;367amp;776amp; \begin{aligned} &505 \\ -& \\ &367 \\ &\underline{\phantom{776}} & \\ \end{aligned}

Video Solution

Step-by-Step Solution

To solve this problem of subtracting 367367 from 505505, we'll follow these steps:

  • Step 1: Start at the ones place. Subtract 77 from 55. Since 55 is smaller than 77, we need to borrow from the tens place.
  • Step 2: Move to the tens place, before borrowing. There is 00 in the tens place, so we cannot borrow directly. We must borrow from the hundreds place.
  • Step 3: Borrow 11 from the hundreds place, reducing it to 44. The tens place becomes 1010.
  • Step 4: Now borrow 11 from the 1010 in the tens place, making it 99. The 55 in the ones place becomes 1515.
  • Step 5: Now subtract 77 from 1515, which gives us 88.
  • Step 6: In the tens place, subtract 66 from 99, resulting in 33.
  • Step 7: In the hundreds place, subtract 33 from 44, resulting in 11.

Putting it all together, we have:

505367=138505 - 367 = 138

Therefore, the solution to the problem is 138 \textbf{138} , which corresponds to choice 2.

Answer

138

Exercise #4

amp;404amp;amp;106amp;776amp; \begin{aligned} &404 \\ -& \\ &106 \\ &\underline{\phantom{776}} & \\ \end{aligned}

Video Solution

Step-by-Step Solution

Let's solve the subtraction problem 404106404 - 106 step-by-step:

  • Align the numbers vertically by their place values:
  • 0404106 \begin{array}{c} \phantom{0}404 \\ -106 \\ \end{array}
  • Subtract starting from the rightmost column (ones):
  • The ones column: 464 - 6 requires borrowing.

    • We need to borrow from the tens column. However, the tens column in 404 has a zero, so we proceed to the hundreds column.
    • Borrow 1 from the hundreds column, turning 4 into 3, and the tens zero into 10.
    • Then, borrow again from the new tens column (10), turning it into 9 and adding 10 to the ones, making it 14.
    • Subtract: 146=814 - 6 = 8.
  • Subtract the tens column:
  • Now, subtract the tens column: 90=99 - 0 = 9.

  • Subtract the hundreds column:
  • Finally, for the hundreds column: 31=23 - 1 = 2.

So, putting it all together, the result of subtracting 106106 from 404404 is 298298.

Therefore, the solution to the subtraction problem is 298298.

Answer

298

Exercise #5

amp;300amp;amp;152amp;776amp; \begin{aligned} &300 \\ -& \\ &152 \\ &\underline{\phantom{776}} & \\ \end{aligned}

Video Solution

Step-by-Step Solution

To solve the subtraction problem 300152 300 - 152 , we'll follow these steps:

  • Step 1: Align the numbers vertically, positioning 300 over 152.
  • Step 2: Start from the rightmost column (units place):
    • The units column has 02 0 - 2 , which requires borrowing since 0 is less than 2.
    • Go to the tens column. It contains 0, so borrow from the hundreds column.
    • Reduce the hundreds place from 3 to 2, changing the tens 0 into 10 (due to borrowing).
  • Step 3: Return to the units place:
    • Now, the units place consists of 102 10 - 2 , which equals 8 8 .
  • Step 4: Move to the tens column:
    • With the tens now holding 10 10 , perform 105 10 - 5 , resulting in 5 5 .
  • Step 5: Complete the hundreds column:
    • Perform 21 2 - 1 , resulting in 1 1 .
  • Step 6: Combine the results from each column to get the final answer: 148.

Therefore, the solution to the problem is 148 148 .

Answer

148

Exercise #6

amp;100amp;amp;  18amp;776amp; \begin{aligned} &100 \\ -& \\ &~~18 \\ &\underline{\phantom{776}} & \\ \end{aligned}

Video Solution

Step-by-Step Solution

To solve the problem 10018100 - 18, we'll perform the subtraction using borrowing:

  • Step 1: Arrange the numbers vertically:
    100  18776 \begin{aligned} & 100 \\ - & \\ & ~~18 \\ & \underline{\phantom{776}} \end{aligned}
  • Step 2: Start subtracting from the rightmost digit (the units place). Subtract 8 from 0. Since 0 is smaller than 8, we need to borrow.
  • Step 3: Borrow from the tens place. The tens place is also 0, so we must continue to the hundreds place. Borrow 1 from the hundreds place, turning it from 1 to 0, and making the tens place 10.
  • Step 4: Now we have 10 in the tens place. Borrow 1 from this new tens digit, turning it from 10 to 9, and giving the units place 10.
  • Step 5: Subtract 8 from 10 in the units place. This gives us 2.
  • Step 6: Move to the tens place. Subtract 1 from 9, which gives us 8.
  • Step 7: As there's nothing left to subtract in the hundreds place, we are left with 0.
  • Step 8: Combine the results to form the final answer: 82.

Therefore, the solution to the subtraction problem is 8282.

Answer

82

Exercise #7

amp;308amp;amp;  89amp;776amp; \begin{aligned} &308 \\ -& \\ &~~89 \\ &\underline{\phantom{776}} & \\ \end{aligned}

Video Solution

Step-by-Step Solution

To solve this subtraction problem, we must perform vertical subtraction of 89 from 308 using the borrowing technique:

  • Step 1: Write the numbers in vertical format, ensuring that each digit is in the correct place value column:

30889\begin{array}{c} & 3 & 0 & 8 \\ - & & 8 & 9 \\ \hline \end{array}

  • Step 2: Start with the rightmost column (units). We need to subtract 9 from 8, but since 8 is smaller than 9, borrow 1 from the tens column.
    • With borrowing, the tens digit (0) decreases to 9 after borrowing 1 from the hundreds column.
    • This gives us: 2 in the hundreds, 9 in the tens, and 18 in the units column.
  • Step 3: Proceed with subtraction:
    • Units: Subtract 9 from 18 to get 9.
    • Tens: Subtract 8 from 9 to get 1.
    • Hundreds: As there is no digit to subtract from 2 in the hundreds place, it remains 2.
  • Step 4: Write down the resulting digits in their respective place values.

291889219\begin{array}{c} & 2 & 9 & 18 \\ - & & 8 & 9 \\ \hline & 2 & 1 & 9 \\ \end{array}

Therefore, the difference between 308 and 89 is 219219.

The correct choice from the provided answer choices is choice 1: 219.

Answer

219

Exercise #8

amp;406amp;amp;  78amp;776amp; \begin{aligned} &406 \\ -& \\ &~~78 \\ &\underline{\phantom{776}} & \\ \end{aligned}

Video Solution

Step-by-Step Solution

To solve this subtraction problem 40678 406 - 78 , we use the vertical subtraction method, aligning the numbers by their place values:

Step-by-step process:

  • Align the numbers columnwise:
        406
    -    78
    - - - - -

  • Subtract each column, starting from the right:
    - Units place: 686 - 8 cannot be done directly, so we need to borrow.
    - Look to the tens column (0), but it is not possible to borrow directly from zero. Instead, we move to the hundreds column.
    - From the hundreds, the 4 becomes a 3 (after borrowing), and the tens place (0) becomes 10. Borrow from 10 in tens, so it becomes 9 while units becomes 16.

  • Perform the subtraction with borrowing adjusted:
    - Units place: 168=816 - 8 = 8
    - Tens place: 97=29 - 7 = 2
    - Hundreds place: 30=33 - 0 = 3

The result of subtracting 78 from 406 is 328\mathbf{328}.

The correct answer, matching our calculation, is option 3: 328.

Answer

328

Exercise #9

amp;507amp;amp;  69amp;776amp; \begin{aligned} &507 \\ -& \\ &~~69 \\ &\underline{\phantom{776}} & \\ \end{aligned}

Video Solution

Step-by-Step Solution

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

  • Step 1: Align the two numbers for vertical subtraction
  • Step 2: Subtract digit by digit, starting from the right
  • Step 3: Borrow when necessary, particularly across zeros

Now, let's work through each step:
Step 1: Write the numbers vertically, aligning by place values:
50769 \begin{array}{c} 507 \\ - 69 \\ \hline \end{array}

Step 2: Start subtracting from the units (right-most) digit:
Units column: 7 (from 507) minus 9 (from 69). Since 7 is smaller than 9, borrow 1 from the tens column.

Step 3: Borrowing across zeros:
Borrowing from the tens column requires rolling up to the hundreds column because there is a 0 in the tens place. Change 5 in the hundreds place to 4, making the tens place 10. Now the tens column has 9 after lending 1 to the units column, making it 17.
Subtract 9 from 17 in the units place to get 8.

Step 4: Subtract the tens column:
9 (from borrowing adjustment) minus 6 (from 69) is 3.

Step 5: Subtract the hundreds column:
4 (from borrowing adjustment) minus 0 (from 69) is 4.

Therefore, the subtraction result is:
438 \begin{array}{c} 438 \\ \end{array}

Thus, the solution to the problem is 438 438 .

Answer

438

Exercise #10

amp;1000amp;amp;  257amp;776amp; \begin{aligned} &1000 \\ -& \\ &~~257 \\ &\underline{\phantom{776}} & \\ \end{aligned}

Video Solution

Step-by-Step Solution

To solve this subtraction problem of 1000 minus 257, we will use a systematic vertical subtraction method that involves borrowing:

  • Step 1: Start with the numbers aligned vertically:

amp;1000amp;amp;  257 \begin{aligned} &1000 \\ -& \\ &~~257 \\ \end{aligned}

  • Step 2: Subtract the rightmost digits (in the units place):

  • Since 0 is less than 7, we need to borrow. The next column (tens place) also is 0, so we move to the hundreds place to borrow. Reducing the 1 to 0, we turn the 0 into a 10 in the tens column and then subtract 1 to borrow into the units column, turning it into 9. The soon-to-be 10 in the units column becomes 10.

  • Step 3: The positions now look like:

amp;10   9 10amp; 1 0 0 0amp;    2 5 770 \begin{aligned} &\phantom{10\ \ }~9~10 \\ &~1~0~0~0 \\ - &~~~~2~5~7 \\ \underline{\phantom{70}} \\ \end{aligned}

  • Step 4: Now, 10 minus 7 is 3. Write 3 down.

  • Step 5: Move to the tens column: 9 minus 5 equals 4. Write 4 under the line.

  • Step 6: Lastly, subtract the hundreds column: 0 minus 2 requires borrowing again, leaving that position as 7.

  • The final calculated result is:

    amp;1000amp;  257amp;  743 \begin{aligned} &1000 \\ -&~~257 \\ &~\overline{~743} \\ \end{aligned}

    Therefore, the solution to the subtraction problem is 743 743 .

Answer

743

Exercise #11

amp;1000amp;amp;  346amp;776amp; \begin{aligned} &1000 \\ -& \\ &~~346 \\ &\underline{\phantom{776}} & \\ \end{aligned}

Video Solution

Step-by-Step Solution

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

  • Step 1: Write the numbers vertically aligning by their respective place values:
    10000346    \begin{array}{c} 1000 \\ - \phantom{0}346~~~ \\ \hline \\ \end{array}

  • Step 2: Start subtracting from the units column: - Units column: 060 - 6, since 0 < 6, we need to borrow. Notice that all digits to the left are zeros, so multiple steps of borrowing are required.

  • Step 3: Borrowing Process: - First, borrow from the hundreds place: Borrow 1, making the hundreds column 99 (since 101=910 - 1 = 9), leaving the ten column as 99 (from borrowing). - Borrow again to the tens column, reducing hundreds column further, ultimately making tens column 99 and units column 1010.

  • Step 4: Perform the subtractions: - Units Column: 106=410 - 6 = 4 - Tens Column: 94=59 - 4 = 5 - Hundreds Column: 93=69 - 3 = 6 - Thousands Column: Remains 00.

Therefore, putting it all together, we get: 10000346   0654 \begin{array}{c} 1000 \\ - \phantom{0}346 ~~~ \\ \hline \phantom{0}654 \\ \end{array}

Thus, the solution to the problem is 654 654 .

Answer

654

Exercise #12

amp;1000amp;amp;  872amp;776amp; \begin{aligned} &amp;1000 \\ -&amp; \\ &amp;~~872 \\ &amp;\underline{\phantom{776}} &amp; \\ \end{aligned}

Video Solution

Step-by-Step Solution

To solve this problem, we will use vertical subtraction with borrowing:

  • Step 1: Understand the given numbers
    We need to perform the subtraction 10008721000 - 872. Let's write them vertically:

1000
-872
_____

  • Step 2: Begin with the units digit
    The units digit for the minuend 10001000 is 0, and the subtrahend 872872 is 2. Because you cannot subtract 22 from 00, we need to borrow from the next digit over.

    • The tens digit is also 00, so we need to borrow from the hundreds digit, 00.

    • Continue borrowing to the thousands place:

    • The thousands digit 11 will become 00, the hundreds digit becomes 1010, then 99 (after lending 11 to adjust tens place), tens digit becomes 1010, then 99 (after lending 11 to adjust units place), and finally, units digit becomes 1010.

    • Result during subtraction step:

    • The number adjusted pre-subtraction is 0991009910.

  • Step 3: Perform the subtraction

    • Now perform each column subtraction:

    • Units: 102=810 - 2 = 8

    • Tens: 97=29 - 7 = 2

    • Hundreds: 98=19 - 8 = 1

    • There is no digit left to subtract in the thousands place, following the adjustment.

  • Conclusion
    Bringing the results together from the adjustments and borrowing:

    • The result of the subtraction is 128128.

Therefore, the solution to the problem is 128128.

Answer

128

Exercise #13

amp;1000amp;amp;  951amp;776amp; \begin{aligned} &amp;1000 \\ -&amp; \\ &amp;~~951 \\ &amp;\underline{\phantom{776}} &amp; \\ \end{aligned}

Video Solution

Step-by-Step Solution

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

  • Step 1: Set up the vertical subtraction with 1000 above 951.
  • Step 2: Start subtracting from the rightmost digit.
  • Step 3: Borrow as needed across zeros.
  • Step 4: Perform the subtraction of each digit, ensuring proper arithmetic adjustment from borrowing.

Now, let's work through each step:
Step 1: We write 1000 1000 and 951 951 in vertical alignment for subtraction.
Step 2: Begin from the units column: We need to subtract 1 1 from 0 0 , so borrowing is required.
Step 3: As there are zeros in both the units and the tens place, we must borrow from the hundreds place and subsequently from the thousands place.
Step 4: Change 1000 1000 as follows for borrowing: The thousands digit gives 1 to the hundreds, transforming so it looks like 10 10 at hundreds, zero at the thousands, from which the hundreds gives 1 to the tens, and similarly tens gives 1 to the units.
The number 1000 1000 effectively becomes 0990 0990 temporarily while processing subtraction:
- Now units column: 101=9 10 - 1 = 9 .
- In the tens column: 95=4 9 - 5 = 4 .
- In the hundreds column: 99=0 9 - 9 = 0 .
- Thousands column: 00=0 0 - 0 = 0 .

Therefore, the solution to the subtraction problem of 1000951 1000 - 951 is 49 49 .

Answer

49

Exercise #14

amp;2007amp;amp;  469amp;776amp; \begin{aligned} &amp;2007 \\ -&amp; \\ &amp;~~469 \\ &amp;\underline{\phantom{776}} &amp; \\ \end{aligned}

Video Solution

Step-by-Step Solution

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

  • Step 1: Write the numbers vertically.

  • Step 2: Start subtraction from the rightmost digit.

  • Step 3: Borrow where necessary.

Now, let's work through each step:

Step 1: Set up the subtraction vertically:
      2007 2007
   -   469

Step 2: Subtract starting from the rightmost digit:

  • In the one's place, we have 797 - 9. Since 77 is smaller than 99, we need to borrow. However, 00 has no value to lend, so we need to also borrow from the hundreds place.

  • In the tens place, 00 becomes 1010 (after borrowing 11 from the hundreds), but now we have to borrow 11 for the ones place operation, leaving us with 99 in the tens place. Thus, the ones place calculation becomes 179=817 - 9 = 8.

  • In the tens place, we subtract 66 from the adjusted 99 (due to earlier borrowing). Thus, 96=39 - 6 = 3.

  • In the hundreds place, initially 00, now we have 99 (after borrowing from the thousands, so it effectively becomes 99). Thus, 94=59 - 4 = 5.

  • Finally, the thousands place remains 11 as we have already borrowed 11 away, and we have no number to subtract from it. So, it remains 11.

The complete subtraction sequence gives us:

    2007
-   469
   1538 \overline{1538}

Therefore, the solution to the problem is 15381538.

Answer

1538

Exercise #15

amp;3008amp;amp;  659amp;776amp; \begin{aligned} &amp;3008 \\ -&amp; \\ &amp;~~659 \\ &amp;\underline{\phantom{776}} &amp; \\ \end{aligned}

Video Solution

Step-by-Step Solution

To solve this problem, we will subtract 659 from 3008 using borrowing in the subtraction process:

  1. Line up the numbers with the larger number on top: 23008659 \begin{array}{c} \phantom{2}3008 \\ -659 \\ \end{array}

  2. Begin subtraction from the rightmost column (units place), where we have 898 - 9. Since 88 is smaller than 99, we need to borrow.

  3. Move to the tens place, which is also 00. Since we cannot borrow from a 00, move left to the hundreds place.

  4. The hundreds place is also 00, so continue to the thousands column, where we have 33:

  5. Decrease the 33 to 22 and make the hundreds column 1010. Now borrow from the hundreds column, turning it into 99 and the tens column into 1010.

  6. Finally, borrow 11 from the tens column to assist the units column: 2939   659 \begin{array}{c} {2939} \\ -~~~659 \\ \end{array} We can now do 189=918 - 9 = 9.

  7. Proceed to the tens column. 95=49 - 5 = 4.

  8. The hundreds column: 96=39 - 6 = 3.

  9. The thousands column: 20=22 - 0 = 2.

Writing down the final subtraction gives us:

29393008       65929392349 \begin{array}{c} \phantom{2939}3008 \\ -~~~~~~~659 \\ \overline{\phantom{2939}2349} \\ \end{array}

Therefore, the solution to the problem is 2349.

Answer

2349

Exercise #16

amp;4003amp;amp;  855amp;776amp; \begin{aligned} &amp;4003 \\ -&amp; \\ &amp;~~855 \\ &amp;\underline{\phantom{776}} &amp; \\ \end{aligned}

Video Solution

Step-by-Step Solution

To solve the subtraction problem 4003855 4003 - 855 , we will perform the operation step-by-step, ensuring we manage the borrowing process correctly:

  • Step 1: Align the numbers for subtraction:
    4003 4003
    855 - 855
    It's important to start from the rightmost digit.
  • Step 2: Subtract the digits in the units place:
    35 3 - 5 . Since 3 is less than 5, we need to borrow. There is nothing in the tens place to borrow, so we move to the hundreds.
    Borrow 1 from the hundreds place (turning the 0 into a 9 in the tens place), and reborrow 1 from there. So, the new setup is:
    3 3 becomes 1313 (in units place), 00 becomes 99 (in tens place), and reduce 00 to 99 in hundreds place.
  • Step 3: Perform the subtraction in the units place now:
    135=8 13 - 5 = 8 , so write down 8.
  • Step 4: Move to the tens place:
    95=4 9 - 5 = 4 , write down 4.
  • Step 5: Move to the hundreds place:
    98=1 9 - 8 = 1 , write down 1.
  • Step 6: Finally, address the thousands place:
    30=3 3 - 0 = 3 , write down 3.

The result of 4003855 4003 - 855 is 3148 3148 .

The correct choice that matches this result is option 3: 3148 3148 .

Answer

3148

Exercise #17

amp;5004amp;amp;  937amp;776amp; \begin{aligned} &amp;5004 \\ -&amp; \\ &amp;~~937 \\ &amp;\underline{\phantom{776}} &amp; \\ \end{aligned}

Video Solution

Step-by-Step Solution

We need to subtract 937 from 5004 using vertical subtraction. Let’s break this down step-by-step, especially focusing on borrowing across zeros:

Step 1: Set up the numbers for subtraction.
Write 5004 above 937, aligning them to the right so the units, tens, hundreds, and thousands digits line up:

5004937\begin{array}{c} & 5 & 0 & 0 & 4 \\ - & & 9 & 3 & 7 \\ \hline & & & & \\ \end{array}

Step 2: Start subtracting from the rightmost digits.
Begin with the units column:

  • Units column: Subtract 7 from 4. Since 4 is less than 7, we need to borrow.
  • Borrow 1 from the tens column. However, tens column has a 0, so we must go left of these zeros:
    • Hundreds column has 0, so borrow 1 from the hundreds column to make it 10, then the hundreds are reduced to 9. The tens will become 10 (and then get reduced to 9 when passing), and when borrowing:
  • Units column: Now, 14 – 7 = 7.

Our subtraction may look as follows:

499149377\begin{array}{c} & 4 & 9 & 9 & 14 \\ - & & 9 & 3 & 7 \\ \hline & & & & 7 \\ \end{array}

Step 3: Move to the tens column.
Subtract 3 from 9. Result is 6.

4991493767\begin{array}{c} & 4 & 9 & 9 & 14 \\ - & & 9 & 3 & 7 \\ \hline & & & 6 & 7 \\ \end{array}

Step 4: Move to the hundreds column.
Subtract 9 from 9. Result is 0.

49914937067\begin{array}{c} & 4 & 9 & 9 & 14 \\ - & & 9 & 3 & 7 \\ \hline & & 0 & 6 & 7 \\ \end{array}

Step 5: Move to the thousands column.
Here we have 4, and there’s no number to subtract, so we carry down 4.

499149374067\begin{array}{c} & 4 & 9 & 9 & 14 \\ - & & 9 & 3 & 7 \\ \hline & 4 & 0 & 6 & 7 \\ \end{array}

Therefore, the solution to the subtraction problem is 4067 4067 .

Answer

4067

Exercise #18

amp;6002amp;amp;  373amp;776amp; \begin{aligned} &amp;6002 \\ -&amp; \\ &amp;~~373 \\ &amp;\underline{\phantom{776}} &amp; \\ \end{aligned}

Video Solution

Step-by-Step Solution

Let's solve 6002373 6002 - 373 using the vertical subtraction method:

  • Step 1: Write the numbers in column form, ensuring they are aligned by place value: 6002  373 \begin{array}{c} 6002 \\ -~~373 \\ \hline \end{array}

  • Step 2: Subtract each digit starting from the right (units place). First, inspect the units place:

    • We need to subtract 3 from 2. Since 3 > 2, we must borrow.

    • Borrow 1 from 600 (next higher order, thousands in this case):

      • The result: Change 6002 to 5992.

    • Now, subtract 123=9 12 - 3 = 9 , in the units place.

    5992  373         9 \begin{array}{c} 5992 \\ -~~373~~~ \\ \hline ~~~~~~9 \\ \end{array}

  • Step 3: Move to the tens place:

    • Subtract 97=2 9 - 7 = 2 .

    5992  373      29 \begin{array}{c} 5992 \\ -~~373~~~ \\ \hline ~~~29 \\ \end{array}

  • Step 4: Move to the hundreds place:

    • Subtract 93=6 9 - 3 = 6 .

    5992  373     629 \begin{array}{c} 5992 \\ -~~373~~~~ \\ \hline ~629 \\ \end{array}

  • Step 5: Move to the thousands place:

    • We have 5 remaining and no subtraction needed here.

    • Therefore, the result is 5629 5629 .

    5992  373   5629 \begin{array}{c} 5992 \\ -~~373~~~ \\ \hline 5629 \\ \end{array}

Therefore, the solution to 6002373 6002 - 373 is 5629 5629 .

Answer

5629

Exercise #19

amp;204amp;amp;  75amp;776amp; \begin{aligned} &amp;204 \\ -&amp; \\ &amp;~~75 \\ &amp;\underline{\phantom{776}} &amp; \\ \end{aligned}

Video Solution

Answer

129

Exercise #20

amp;1000amp;amp;  732amp;776amp; \begin{aligned} &amp;1000 \\ -&amp; \\ &amp;~~732 \\ &amp;\underline{\phantom{776}} &amp; \\ \end{aligned}

Video Solution

Answer

268