Vertical Subtraction - Examples, Exercises and Solutions

Let's solve the subtraction problem $105 - 3$:

Align the numbers vertically to ensure each digit is in the correct place value position:

• Write 105 as:
  $\begin{array}{c} 1 & 0 & 5 \\ \end{array}$

• Place 3 beneath 105 such that it aligns with the rightmost digit (units place):
  $\begin{array}{c} - & & 3 \\ \end{array}$

• Subtract each column starting from the rightmost side (units digit) to the left:

Step-by-step subtraction:

• Units column: $5 - 3 = 2$

• Tens column: There is nothing to subtract with 0, so it remains $0$.

• Hundreds column: Similarly, there is nothing to subtract, so it remains $1$.

Combine the results of these steps to find the answer:

The result of the subtraction $105 - 3 = 102$.

Therefore, the correct answer is $102$.

Let's solve the basic vertical subtraction problem where we subtract 4 from 157 step by step:

• Step 1: Write the numbers in a vertical format, ensuring to align them by place values.
  $\begin{array}{c} 157 \\ -\ 4 \\ \underline{\phantom{776}} \\ \end{array}$

• Step 2: Perform subtraction starting from the rightmost digit (the ones place).
  - Subtract 4 from 7 in the ones column, resulting in 3.

• Step 3: Since the number being subtracted, 4, has no digit in the tens and hundreds places, bring down the remaining digits from 157. These are 5 in the tens place and 1 in the hundreds place.

Thus, the result of subtracting 4 from 157 is $153$.

Among the options provided, choice 2 is the correct answer, which states 153.

Therefore, the solution to the problem is $153$.

To solve this problem, we'll perform simple vertical subtraction for the numbers given, 15 and 4:

Step-by-step solution:

• Step 1: Write the numbers in a column, aligning the digits according to place value.
  
• Step 2: Start subtracting from the rightmost column (the ones column).
  In the ones column, subtract 4 from 5:$5 - 4 = 1$.
• Step 3: Move to the tens column. There is no subtraction to perform here since it's only $1 - 0$, which leaves the digit as is.

Thus, there is no borrowing needed because the digits in the minuend are sufficient to carry out the subtraction.

The result of the subtraction $15 - 4$ is $11$.

Therefore, the solution to the problem is $11$.

The correct multiple-choice answer is option 1: $11$.

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

• Step 1: Align the numbers 178 and 125 vertically by place value:
  $\begin{array}{c} 178 \\ -125~~~ \\ \underline{\phantom{777}} \\ \end{array}$

• Step 2: Subtract beginning with the units column on the right:
  "8" minus "5" results in "3".

• Step 3: Proceed to the tens column:
  "7" minus "2" results in "5".

• Step 4: Move to the hundreds column:
  "1" minus "1" results in "0".

Therefore, the solution to the subtraction problem $178 - 125$ is $53$.

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:
  $\begin{aligned} &19 \\ -& \\ &17 \\ \end{aligned}$
• Step 2: Start with the units column. Subtract the digit 7 from the digit 9:
  $9 - 7 = 2$
• Step 3: Move to the tens column. Subtract the digit 1 from the digit 1:
  $1 - 1 = 0$
• 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 $2$.

To solve this subtraction problem, we will use the vertical subtraction method as follows:

Step 1: Align the numbers vertically.
We write 248 over 135, ensuring that corresponding digits are aligned correctly, particularly the units, tens, and hundreds places.

\begin{array}{c} 248 \\ - 135 \\ \hline \end{array}

Step 2: Subtract column by column from right to left.

• Units column: $8 - 5 = 3$. Write 3 under the units column.

• Tens column: $4 - 3 = 1$. Write 1 under the tens column.

• Hundreds column: $2 - 1 = 1$. Write 1 under the hundreds column.

The subtraction does not require any borrowing as each digit in the minuend is greater than or equal to the corresponding digit in the subtrahend.

Step 3: Combine the results.
From left to right, the result is 113.

Therefore, the solution to the subtraction problem is $113$, which corresponds to choice 4.

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.
  $5 - 4 = 1$
• Step 3: Subtract the tens digits. In this case, subtract 2 from 2.
  $2 - 2 = 0$

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 $25 - 24$ is $1$.

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

• Step 1: Write down the numbers vertically with the larger number (the minuend) on top:

$\begin{aligned} &27 \\ -& \\ &~~3 \\ &\underline{\phantom{776}} &\\ \end{aligned}$

• Step 2: Subtract the digits in the ones place: $7$ (from $27$) minus $3$ (from $3$) equals $4$.
• Step 3: Subtract the digits in the tens place: $2$ (from $27$) minus $0$ (no tens in $3$) equals $2$.

Therefore, the difference is $24$.

The solution to the problem is $24$, which corresponds to choice 2.

To solve this problem, we will subtract using the vertical subtraction method:

• Step 1: Write the numbers vertically aligned by the right, with the larger number on top:
  $\begin{array}{c} 367 \\ - \phantom{3}5 \\ \hline \end{array}$
• Step 2: Subtract the rightmost column. Here, we have $7 - 5 = 2$.
  Write $2$ below the line.
• Step 3: Move to the next column on the left. The next column is $6$, and since there is nothing to subtract in this position, bring down the $6$.
• Step 4: Move to the leftmost column. The leftmost column is $3$, and similarly, bring down the $3$ since there is nothing to subtract in this column.

After following these steps, we find the result of the subtraction:

$367 - 5 = 362$

Therefore, the solution to the problem is $362$.

To solve this problem, we'll use the standard algorithm for subtraction performed in a vertical format. Here are the steps:

• Step 1: Write the numbers in vertical form, aligning the digits by place value, with 376 above 136.
• Step 2: Begin subtracting from the rightmost digit (units place).
  Units place: $6$ from $6$. Resulting digit is $0$.
• Step 3: Move to the tens place, subtract $3$ from $7$. Resulting digit is $4$.
• Step 4: Move to the hundreds place, subtract $1$ from $3$. Resulting digit is $2$.

Therefore, the calculation looks like this:

$\begin{array}{c} & 376 \\ - & 136 \\ \hline & 240 \\ \end{array}$

As such, the solution to this subtraction problem is $240$.

Let's solve the subtraction problem $37 - 25$ using vertical subtraction:

• Step 1: Align the numbers vertically:

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

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

  $7 - 5 = 2$

  Write $2$ under the line in the units place.

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

  $3 - 2 = 1$

  Write $1$ under the line in the tens place. This gives us $12$ as the result.

Therefore, the solution to the problem is $12$.

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

• Step 1: Write the numbers vertically, with each digit aligned in their respective place value.

• Step 2: Begin subtracting starting from the rightmost column.

• Step 3: Move to the left, repeating the process for each subsequent column until finished.

Now, let's work through each step:
Step 1: Arrange the numbers vertically, aligning according to the decimal place.
 39
-   6
-----
Step 2: Start subtracting from the right. Subtract the ones place: $9 - 6 = 3$.
 39
-   6
-----
    3
Step 3: Since there is no need to borrow, move to the tens place:
The tens place comprises '3' from '39', as there is no corresponding digit above '6' to subtract from: $3 - 0 = 3$.
  39
-   6
-----
   33


Therefore, the solution to the problem is $33$.

To solve the given subtraction problem $431 - 210$ using vertical subtraction, we’ll follow these steps:

Step 1: Align the numbers vertically:

$\begin{aligned} &431 \\ -&\\ &210 \\ \end{aligned}$

Step 2: Subtract each column starting from the right (units place) and moving to the left (hundreds place):

• Units place: Subtract $0$ from $1$.
  The result is $1 - 0 = 1$.

• Tens place: Subtract $1$ from $3$.
  The result is $3 - 1 = 2$.

• Hundreds place: Subtract $2$ from $4$.
  The result is $4 - 2 = 2$.

Step 3: Write the answer from each result of subtraction:

$\begin{aligned} &431 \\ -&\\ &210 \\ \underline{\phantom{35}}&\underline{\phantom{3005}} \\ &221 \\ \end{aligned}$

Therefore, the solution to the subtraction problem is $221$.

Let's solve the subtraction problem by following these steps:

First, align the numbers vertically:

$\begin{aligned} &478 \\ -& \\ &~~~~2 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

Starting with the rightmost digits:

• In the units place, subtract $2$ from $8$: $8 - 2 = 6$.
• Since there are no other digits from the subtrahend, bring down the remaining digits as they are.

This results in:

$\begin{aligned} &476 \\ \end{aligned}$

Therefore, the solution to the problem is $476$.

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

• Step 1: Align the numbers vertically by place value.

• Step 2: Subtract the units place.

• Step 3: Subtract the tens place if necessary.

Now, let's work through each step:
Step 1: Write the numbers 48 and 7 in columns where the digits (ones place) are aligned: $\begin{array}{c} 48 \\ -~7 \\ \end{array}$ Step 2: Subtract the units (8 - 7 = 1) and write the result in the units position.
Step 3: The tens place after subtraction is unchanged because there is no borrowing needed, so the 4 from 48 stays as 4.
Thus, we have: $\begin{array}{c} 48 \\ -~7 ~~\\ \underline{41} \end{array}$

Therefore, the solution to the problem is 41.