Vertical Subtraction: 5 digits and above

To solve the subtraction problem $10,154 - 8,154$, follow these steps:

1. Write down the numbers with their digits aligned according to place value:

   $\begin{array}{c} ~~10154 \\ \underline{-~8154} \\ \end{array}$

2. Subtract each pair of digits starting from the right (units place):

   1. Units place: $4 - 4 = 0$

   2. Tens place: $5 - 5 = 0$

   3. Hundreds place: $1 - 1 = 0$

   4. Thousands place: $0 - 8$ – since $0$ is less than $8$, we need to borrow.

3. Borrows and adjusts:

   1. Borrow from the ten-thousands place. Convert $10,000$ to $9,000$, and increase thousands by $10$: $10 - 1 = 9$ (because of borrowed 1 from ten-thousands).

4. Perform the borrowing adjustment and subtraction:

   1. Thousands place after borrowing: $10 - 8 = 2$

   2. Ten-thousands place (after borrowing): $1 - 1 = 0$

After performing these operations, the final result is:

$2,000$

Therefore, the difference when $8,154$ is subtracted from $10,154$ is: $2,000$

To solve the subtraction problem $13579 - 9756$, we will use the vertical subtraction method. Here are the steps:

Step 1: Align the numbers by their place values:

$\begin{array}{c} \phantom{-2}13579 \\ -\phantom{00}9756 \\ \hline \end{array}$

Step 2: Start from the rightmost column:

• Units place: $9 - 6 = 3$

Step 3: Move to the tens place:

• Tens place: $7 - 5 = 2$

Step 4: Hundreds place:

• Hundreds place: $5 - 7$, since 5 is less than 7, we need to borrow 1 from the thousands place, making it $15 - 7 = 8$.

Step 5: Thousands place (after borrowing):

• Thousands place: Originally $3$, after borrowing it becomes $2$, so $2 - 9$, we again need to borrow from ten-thousands place, thus $12 - 9 = 3$.

Final step: Ten-thousands place (after all adjustments):

• Ten-thousands place: Originally $1$, after borrowing it became $0$, so concludes with $0 - 0 = 0$.

Therefore, by combining all steps, the result is:

$\begin{array}{c} \phantom{-}13579 \\ -\phantom{0}9756 \\ \hline \phantom{-9}3823 \\ \end{array}$

Hence, the solution to the subtraction problem is $\boxed{3823}$.

To solve this subtraction problem, we will perform the following steps:

• Step 1: Align the numbers vertically by their rightmost digits:

$\begin{aligned} 35476& \\ -\phantom{0} 6381& \\ \end{aligned}$

• Step 2: Subtract each pair of digits, starting from the rightmost column. If a digit in the minuend is smaller than the digit in the subtrahend, we will perform borrowing:

  • Units: 6 (from 35476) - 1 (from 6381) = 5

  • Tens: 7 (from 35476) - 8 (from 6381): Borrow 1 from the next left digit in the minuend, making it 17 - 8 = 9

  • Hundreds: 3 (borrowed previous 1 made it 4) - 3 = 0

  • Thousands: 5 (from 35476) - 0 (as there is no thousands digit from 6381) = 5

  • Ten thousands: Borrow 1 was already accounted, 3 (from 35476) - 0 = 2 (no digit to subtract from 6381)

• Step 3: Write down the final result from each subtraction calculation:

• $\begin{aligned} &29095 \\ \end{aligned}$

Therefore, the solution to the problem is $29095$.

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

• Step 1: Align the numerals of 89755 and 4944 vertically, such that the units, tens, hundreds, etc., are in line with each other.
• Step 2: Begin by subtracting the rightmost digits, moving left. If the top digit is smaller than the bottom digit, perform borrowing operation from the next left column.

Let's perform the subtraction:

$\begin{array}{cccccc} & 8 & 9 & 7 & 5 & 5\\ - & & 4 & 9 & 4 & 4\\ \hline & 8 & 4 & 8 & 1 & 1\\ \end{array}$

Here's how the subtraction is processed:

• Subtract the rightmost digits: $5 - 4 = 1$.
• Next, in the tens column: $5 - 4 = 1$.
• In the hundreds column, 7 is smaller than 9, so we borrow 1 from the thousands place: $17 - 9 = 8$.
• In the thousands place, we adjust for borrowing: now $8 - 4 = 4$.
• Finally, in the ten thousands place: since no borrowing affected this initial value, $8 - 0 = 8$.

Therefore, the result of the subtraction $89755 - 4944$ is $\mathbf{84811}$.

To solve the subtraction problem, follow these steps:

• Step 1: Align the minuend $72101$ and the subtrahend $1400$ by their place values.

• Step 2: Subtract each digit starting from the rightmost side (units place).

Let's perform the subtraction:

1. Units place: $1 - 0 = 1$ 2. Tens place: $0 - 0 = 0$ 3. Hundreds place: $1 - 4$ requires borrowing. Borrow 1 from the thousands place, changing the $2$ in thousands to $1$, making it: - Hundreds place becomes $11 - 4 = 7$. 4. Thousands place: After borrowing, the thousands place becomes $2 - 1 = 1$. 5. Ten-thousands place: $7 - 0 = 7$.

Thus, the subtraction is performed as follows:

$72101$
$- \phantom{0}1400$
__________
$70701$

Therefore, the result of the subtraction is $70701$.

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

• Step 1: Write the numbers 66,742 and 8,571 vertically, aligning them by their right-hand digits.
• Step 2: Start subtracting from the rightmost column (units):
  • Subtract 1 from 2: The result is 1.
• Step 3: Move to the tens column:
  • Subtract 7 from 4. Since 4 is less than 7, we need to borrow 1 from the hundreds place, making it 14.
  • Subtract 7 from 14: The result is 7.
• Step 4: Move to the hundreds column, remembering we borrowed 1, leaving us with 6 in the hundreds place:
  • Subtract 5 from 6: The result is 1.
• Step 5: Move to the thousands column:
  • Subtract 8 from 6. Since 6 is less than 8, borrow 1 from the ten-thousands place, making it 16.
  • Subtract 8 from 16: The result is 8.
• Step 6: Move to the ten-thousands column, remembering we borrowed 1, leaving us with 5:
  • Subtract 0 from 5: The result is 5.

Therefore, the solution to the problem is $58,171$.

To solve this problem, we'll use the column subtraction method:

• Step 1: Write the numbers vertically, aligning them by place value:

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

$\begin{array}{c} \phantom{12\ } 51843 \\ - \phantom{10} 4272 \\ \hline \end{array}$

Step 3: Units place: $3 - 2 = 1$.

Step 4: Tens place: $4 - 7$. Here, we need to borrow 1 from the hundreds place, so it becomes $14 - 7 = 7$. After borrowing, the hundreds digit from 8 becomes 7.

Step 5: Hundreds place: $7 - 2 = 5$.

Step 6: Thousands place: $1 - 4$. Again, we borrow 1 from the ten-thousands place, so it becomes $11 - 4 = 7$. After borrowing, the ten-thousands digit from 5 becomes 4.

Step 7: Ten-thousands place: $4 - 0 = 4$.

The completed subtraction is:

$\begin{array}{c} \phantom{12\ } 51843 \\ - \phantom{10} 4272 \\ \hline \phantom{10\ } 47571 \\ \end{array}$

Therefore, the solution to the problem is $47571$.

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

• Step 1: Write the numbers vertically based on their place value.

• Step 2: Subtract each column, starting from the rightmost digit.

• Step 3: Borrow as needed when the top digit is smaller than the bottom digit in a given column.

Now, let's work through the subtraction:

Step 1: Arrange vertically:
$\begin{array}{c} 48262 \\ -15336~~~ \\ \hline \end{array}$

Step 2: Start subtracting from the right:
Ones place: $2 - 6$, we need to borrow because 2 is less than 6.
- Change 2 to 12 by borrowing 1 from the 6 in the tens column, turning it into 5.
- Subtract: $12 - 6 = 6$.

Tens place: $5 - 3 = 2$.

Hundreds place: $2 - 3$, again borrow because 2 is less than 3.
- Borrow 1 from the 8 in the thousands place, turning it into 7.
- Change 2 to 12: $12 - 3 = 9$.

Thousands place: $7 - 5 = 2$.

Ten-thousands place: $4 - 1 = 3$.

So, the final result is:
$\begin{array}{c} 48262 \\ -15336~~~ \\ \hline 32926 \\ \end{array}$

Therefore, the solution to the problem is $32926$.

Let's solve the subtraction problem $92443 - 74526$.

Step-by-step Vertical Subtraction:

1. Align the numbers, so each digit is in the correct place (thousands, hundreds, tens, units).
   $\begin{array}{c} \phantom{1}92443 \\ -74526 \\ \end{array}$
2. Subtract starting from the rightmost digit (units place). If the digit in the minuend is smaller, borrow from the next digit to the left.
• Units: $3 - 6$ requires borrowing. Borrow from the next digit (4 becomes 3), making it $13 - 6 = 7$.
• Tens: $3 - 2 = 1$ (after borrowing adjustment).
• Hundreds: $4 - 5$ requires borrowing. Borrow from the next digit (4 becomes 3), making it $14 - 5 = 9$.
• Thousands: $3 - 4$ requires borrowing. Borrow from the next digit (9 becomes 8), making it $13 - 4 = 9$.
• Ten thousands: $8 - 7 = 1$ (after borrowing adjustment).

Therefore, the result of the subtraction $92443 - 74526$ is: $17917$.

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

• Step 1: Start at the rightmost column (the units place) with $7 - 2$. This equals $5$.
• Step 2: Move to the tens place with $6 - 8$. Since 6 is smaller than 8, we need to borrow 1 from the hundreds column. This makes it $16 - 8 = 8$.
• Step 3: Adjust the hundreds column: originally $5$, reduced by 1 due to borrowing, making it $4$. Thus, $4 - 3 = 1$.
• Step 4: Next, consider the thousands column: $4 - 6$. Since 4 is smaller than 6, borrow 1 from the ten thousand column, making it $14 - 6 = 8$.
• Step 5: The ten thousands column was $7$, reduced by 1 due to borrowing. Thus $6 - 8$ requires further borrowing.
• Step 6: Borrow from the hundred thousand column, changing the left remaining digits to $16 - 8 = 8$.
• Step 7: Finally, the hundred thousand column $2$ has been reduced to $16$, with subtraction from zero now yielding: $1 - 1 = 0$.

Following these steps, each digit ultimately gives the final answer:

$275467 - 186382 = 89085$

Thus, the solution to the problem is $89085$.

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

• Step 1: Write the numbers in their respective place values, aligning the digits vertically based on units, tens, etc.
  $\begin{array}{c} 841274 \\ - 750337 ~~~\\ \hline \end{array}$

• Step 2: Begin subtracting from the rightmost column (the units column).

Subtracting each column, starting with the rightmost:

- Units place: $4 - 7$: Since 4 is smaller than 7, we borrow 1 from the tens place (making it 14), then subtract to get $14 - 7 = 7$.
- Tens place: After borrowing, we have $6 - 3 = 3$.
- Hundreds place: $2 - 3$: Again, we borrow from the thousands place, making it 12. Thus, $12 - 3 = 9$.
- Thousands place: After borrowing, we have $0 - 0 = 0$.
- Ten-thousands place: $4 - 5$: Borrow from the hundred-thousands place, resulting in $14 - 5 = 9$.
- Hundred-thousands place: Finally, $7 - 7 = 0$ after borrowing.

Therefore, carrying out the subtraction yields the result:

$90937$

This matches the correct answer choice.

The solution to the subtraction problem is $90937$.

To solve this subtraction problem, follow these steps:

• Step 1: Align the numbers according to place values:
  $\begin{array}{r} 624867 \\ - 616483 \\ \end{array}$
• Step 2: Subtract the digits starting from the rightmost digit:
  
  • Units place: $7 - 3 = 4$
  • Tens place: $6 - 8$. Since 6 is less than 8, we borrow 1 from the hundreds place, making it $16 - 8 = 8$.
  • Hundreds place: $8$ became $7$ after borrowing, so $7 - 4 = 3$.
  • Thousands place: $4 - 6$ requires borrowing from the ten-thousands place. After borrowing, it is $14 - 6 = 8$.
  • Ten-thousands place: $2$ became $1$ due to previous borrowing, so $1 - 1 = 0$.
  • Hundred-thousands place: $6 - 6 = 0$.
  Compile the results from each place: $08384$.

Therefore, the solution to the subtraction problem is $8384$, which matches choice 1.

To solve this subtraction problem, follow these steps:

• Step 1: Write down the numbers in vertically aligned format, placing the bigger number (514941) on top and the smaller number (221871) underneath it, ensuring digits are aligned according to their place value.

• Step 2: Begin with the rightmost digits. Subtract the units place: $1 - 1 = 0$.

• Step 3: Move to the tens place. Subtract: $4 - 7$. Since 4 is less than 7, we need to borrow 1 from the next left column (hundreds place). The 9 becomes 8, and the 4 becomes 14. Now, subtract: $14 - 7 = 7$.

• Step 4: Hundreds place. Subtract $8 - 8 = 0$.

• Step 5: Thousands place. Subtract $4 - 1 = 3$.

• Step 6: Ten-thousands place. Subtract $1 - 2$. Borrow 1 from the hundred-thousands place, which makes 5 become 4. Now, $11 - 2 = 9$.

• Step 7: Hundred-thousands place. Subtract $4 - 2 = 2$.

Upon performing these steps, the calculated difference of the two numbers is:

The answer is $\boldsymbol{293070}$.

Therefore, the solution to the subtraction is $293070$, which matches choice 4.