Vertical Subtraction: 3-digit subtraction with the regrouping of hundreds

To solve this subtraction problem of $768 - 74$, we'll use vertical subtraction with borrowing:

Let's lay out the subtraction:

$\begin{array}{c} &7\ 6\ 8 \\ - & \phantom0\ 7\ 4 \\ \hline \end{array}$

Follow these steps:

• Step 1: Start with the ones column. Subtract 4 from 8. Since 8 is larger, we simply do $8 - 4 = 4$.

• Step 2: Move to the tens column. Subtract 7 from 6. Here, 6 is smaller than 7, so we need to borrow from the hundreds column.
      - Cross out the "7" in hundreds place and reduce it by 1 to make it "6".
      - Change 6 in the tens place to 16.
      - Now, perform the subtraction: $16 - 7 = 9$.

• Step 3: Move to the hundreds column. Subtract 0 from 7 (after reduction): $7 - 0 = 6$.

Thus, the result of the subtraction is:

$\begin{array}{c} 6\ 9\ 4 \\ \end{array}$

Therefore, the answer to the subtraction problem is $694$.

To solve the subtraction problem $819 - 27$, we will check each digit from right to left, performing the necessary operations for subtraction:

• Units place: Subtract 7 from 9. Since 9 is larger than 7, the result is 2.
• Tens place: Subtract 2 from 1. Here, 1 is less than 2, so we need to borrow 1 from the hundreds place. This converts the tens place 1 into 11.
• After borrowing, subtract 2 from 11, resulting in 9.
• Hundreds place: Since we borrowed from 8, it becomes 7.

Finally, putting these values together gives us the result: $792$.

Therefore, the solution to the problem is $792$.

To solve this mathematical problem, we will subtract 74 from 956 using vertical subtraction with regrouping when necessary.

Let's perform the subtraction step-by-step:

• Step 1: Write the numbers one below the other, aligning them by their place values:

$\begin{aligned} & 956 \\ -& \phantom{0}74 \\ & \underline{\phantom{776}} \end{aligned}$

• Step 2: Start by subtracting the units column: - We have 6 (from 956) minus 4 (from 74), which gives us 2. Place 2 in the units column of the result.

• Step 3: Move to the tens column: - We have 5 (from 956) minus 7 (from 74). Since 5 is smaller than 7, we need to regroup (borrow) 1 ten from the hundreds column: - This changes the 5 in the tens column to 15 and the 9 in the hundreds column to 8. - Now, subtract 7 from 15, which gives us 8. Place 8 in the tens column of the result.

• Step 4: Finally, move to the hundreds column: - We have 8 (after regrouping) minus 0 (since there is no hundreds digit in 74), which gives us 8. Place 8 in the hundreds column of the result.

Now, the result is written as:

$\begin{aligned} &956 \\ -&\phantom{0}74 \\ & \overline{882} \end{aligned}$

Therefore, the solution to the problem is 882.

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

• Step 1: Set up the subtraction problem, aligning the numbers vertically by their place values:

$\begin{aligned} &\:6\:&7\:&&7 \\ - & \: \:&8\:&&5 \\ \underline{\phantom{777}} \end{aligned}$

• Step 2: Begin subtracting from the units column:

$7 - 5 = 2$. Write 2 in the units place of the answer.

• Step 3: Move to the tens column:

We have $7 - 8$, which requires borrowing.

Borrow 1 from the hundreds column, reducing 6 to 5, and add 10 to the 7 in the tens column, making it 17.

Now, $17 - 8 = 9$. Write 9 in the tens place of the answer.

• Step 4: Move to the hundreds column:

Now, $5 - 0 = 5$. Write 5 in the hundreds place of the answer.

After completing all these steps, the answer to the subtraction problem is $\textbf{592}$.

Therefore, the solution to the problem is $592$.