Examples with solutions for Vertical Subtraction: Simple 2-digit subtraction

Exercise #1

amp;19amp;amp;17amp;776amp; \begin{aligned} &19 \\ -& \\ &17 \\ &\underline{\phantom{776}} & \\ \end{aligned}

Video Solution

Step-by-Step Solution

To solve this subtraction problem, follow these steps:

  • Step 1: Write the numbers vertically, aligning their digits properly. The problem is set up as follows:
    1917 \begin{aligned} &19 \\ -& \\ &17 \\ \end{aligned}
  • Step 2: Start with the units column. Subtract the digit 7 from the digit 9:
    97=2 9 - 7 = 2
  • Step 3: Move to the tens column. Subtract the digit 1 from the digit 1:
    11=0 1 - 1 = 0
  • Step 4: Combine the results from the tens and units columns. The complete calculation results in the number 2.

Therefore, the solution to the problem is 2 2 .

Answer

2

Exercise #2

amp;25amp;amp;24amp;776amp; \begin{aligned} &25 \\ -& \\ &24 \\ &\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. Place the number 25 over the number 24, ensuring the digits are in the correct columns (tens and units).
  • Step 2: Subtract the units (rightmost) digits first. In this case, subtract 4 from 5.
    54=1 5 - 4 = 1
  • Step 3: Subtract the tens digits. In this case, subtract 2 from 2.
    22=0 2 - 2 = 0

Now write the result of the subtraction in each column below the line. The units column has 1, and the tens column has 0, resulting in the final answer.

Therefore, the solution to the subtraction 2524 25 - 24 is 1 1 .

Answer

1

Exercise #3

amp;37amp;amp;25amp;776amp; \begin{aligned} &37 \\ -& \\ &25 \\ &\underline{\phantom{776}} & \\ \end{aligned}

Video Solution

Step-by-Step Solution

Let's solve the subtraction problem 372537 - 25 using vertical subtraction:

  • Step 1: Align the numbers vertically:

           37    25 \begin{array}{c} \ \ \ \ \ \ \ 37 \\ - \ \ \ \ 25 \\ \hline \end{array}

  • Step 2: Start with the rightmost column (units place):

    75=27 - 5 = 2

    Write 22 under the line in the units place.

  • Step 3: Move to the left column (tens place):

    32=13 - 2 = 1

    Write 11 under the line in the tens place. This gives us 1212 as the result.

Therefore, the solution to the problem is 1212.

Answer

12

Exercise #4

amp;49amp;amp;31amp;776amp; \begin{aligned} &49 \\ -& \\ &31 \\ &\underline{\phantom{776}} & \\ \end{aligned}

Video Solution

Step-by-Step Solution

To solve the subtraction problem by vertically aligning the numbers, we will work as follows:

  • Step 1: Write the numbers vertically aligning by place value.
    4931   7600 \begin{array}{c} 49 \\ -31~~~\\ \underline{\phantom{7600}} \\ \end{array}

  • Step 2: Start subtracting from the units column (rightmost).
    Subtract the units digit: 91=8 9 - 1 = 8 .

  • Step 3: Move to the tens column.
    Subtract the tens digit: 43=1 4 - 3 = 1 .

The subtraction gives us a result.

Therefore, the solution to the problem is 18 18 .

Answer

18

Exercise #5

amp;57amp;amp;23amp;776amp; \begin{aligned} &57 \\ -& \\ &23 \\ &\underline{\phantom{776}} & \\ \end{aligned}

Video Solution

Step-by-Step Solution

To solve this vertical subtraction problem, follow these steps:

  • Step 1: Identify the digits in the tens and units places.
    The numbers are 5757 and 2323.
  • Step 2: Start with the units place digits:
    The units place in 5757 is 77, and in 2323 it is 33.
    Subtract 737 - 3 to get 44.
  • Step 3: Move to the tens place digits:
    The tens place in 5757 is 55, and in 2323 it is 22.
    Subtract 525 - 2 to get 33.
  • Step 4: Combine the results:
    The difference from the tens place is 3030, and from the units place is 44.

Thus, the answer to 572357 - 23 is:

3434

Answer

34

Exercise #6

amp;67amp;amp;54amp;776amp; \begin{aligned} &67 \\ -& \\ &54 \\ &\underline{\phantom{776}} & \\ \end{aligned}

Video Solution

Step-by-Step Solution

To solve this subtraction problem using vertical subtraction, follow these steps:

  • Step 1: Set the numbers in vertical form as follows:
    16754 \begin{aligned} \phantom{1} &67 \\ -& \phantom{} \\ &54 \\ \end{aligned}
  • Step 2: Begin with the ones place. Subtract the digit in the subtrahend (4) from the digit in the minuend (7):
    74=3 7 - 4 = 3 .
    Write 3 below the line in the ones place.
  • Step 3: Move to the tens place. Subtract the digit in the subtrahend (5) from the digit in the minuend (6):
    65=1 6 - 5 = 1 .
    Write 1 below the line in the tens place.
  • Step 4: Combine the results:
    The overall result, combining tens and ones, is 13.

Therefore, the difference between 67 and 54 is 13 13 .

Answer

13

Exercise #7

amp;74amp;amp;72amp;776amp; \begin{aligned} &74 \\ -& \\ &72 \\ &\underline{\phantom{776}} & \\ \end{aligned}

Video Solution

Step-by-Step Solution

To solve this problem, we'll perform vertical subtraction:

  • Step 1: Align the two numbers, 74 and 72, vertically with their place values:

7472 \begin{aligned} & 74 \\ -& \\ & 72 \\ \end{aligned}

  • Step 2: Subtract the digits in the units column (rightmost column):
    42=2 4 - 2 = 2
  • Step 3: Subtract the digits in the tens column:
    77=0 7 - 7 = 0

Therefore, the result of the subtraction is 2\boxed{2}.

Answer

2

Exercise #8

amp;85amp;amp;81amp;776amp; \begin{aligned} &85 \\ -& \\ &81 \\ &\underline{\phantom{776}} & \\ \end{aligned}

Video Solution

Step-by-Step Solution

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

  • Step 1: Align the numbers for vertical subtraction.

  • Step 2: Subtract the digits in the units column.

  • Step 3: Subtract the digits in the tens column if necessary.

Now, let's work through each step:
Step 1: We'll arrange the numbers as follows:
8581   ? \begin{array}{c} {85} \\ {-81} ~~\ \\ \hline ? \\ \end{array} Step 2: Start by subtracting the digits in the units column: 51=45 - 1 = 4.

Step 3: Move to the tens column: 88=08 - 8 = 0.

The result is 04, which simplifies to just 4.

Therefore, the difference when we subtract 81 from 85 is 4\boxed{4}.

Answer

4

Exercise #9

amp;91amp;amp;90amp;776amp; \begin{aligned} &91 \\ -& \\ &90 \\ &\underline{\phantom{776}} & \\ \end{aligned}

Video Solution

Step-by-Step Solution

To solve this subtraction problem, we will perform the operation vertically, step by step:

  • Step 1: Write the two numbers in vertical alignment:
          91
    -   90
         ---
  • Step 2: Start subtracting from the rightmost column (the units column):
  • Subtract the units: 10=11 - 0 = 1.
  • Step 3: Move to the tens column:
  • Subtract the tens: 99=09 - 9 = 0.

So, after performing the subtraction, the result is 11.

Therefore, the solution to the problem is 11.

Answer

1

Exercise #10

amp;97amp;amp;63amp;776amp; \begin{aligned} &97 \\ -& \\ &63 \\ &\underline{\phantom{776}} & \\ \end{aligned}

Video Solution

Step-by-Step Solution

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

  • Step 1: Align the numbers vertically by their place values.

  • Step 2: Subtract the digits in the ones place.

  • Step 3: Subtract the digits in the tens place, borrowing if needed.

Now, let's work through each step together:

Step 1: Align 97 and 63 vertically:

00 9070603 \begin{array}{c} \phantom{00\ }9\phantom{0}7 \\ -\phantom{0}6\phantom{0}3 \\ \hline \end{array}

Step 2: Start with the ones place:

The digits are 7 and 3.

Subtract 3 from 7: 73=47 - 3 = 4.

Step 3: Move to the tens place:

The digits are 9 and 6.

Subtract 6 from 9: 96=39 - 6 = 3.

Write the results in their respective place values:

00 907060300 304 \begin{array}{c} \phantom{00\ }9\phantom{0}7 \\ -\phantom{0}6\phantom{0}3 \\ \hline \phantom{00\ }3\phantom{0}4 \\ \end{array}

Therefore, the solution to the problem is 34.

Answer

34