Solve Vertical Subtraction: 482 minus 65 Step-by-Step

$\begin{aligned} &482 \\ -& \\ &~~65 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

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

• Step 1: Set up the numbers for vertical subtraction.

• Step 2: Perform subtraction starting from the rightmost digit (units place).

• Step 3: Apply regrouping whenever the top digit is smaller than the digit below.

Now, let's work through each step:
Step 1: Write the numbers in vertical format aligning by place value:

$\begin{array}{c} 482 \\ - 65 \\ \hline \end{array}$

Step 2: Subtract the digits in the units place:$\quad 2 - 5$. Since 2 is smaller than 5, we need to regroup.

Regrouping: Borrow 10 from the tens place, making 2 become 12. The 8 in the tens place decreases by 1 to 7.

$\begin{array}{c} 4 &\cancel{8}7 \, &12 \\ -\ \ &6&5 \\ \hline \end{array}$

Subtract in the units place: $12 - 5 = 7$.

Step 3: Move to the tens place: Now subtract $7 - 6 = 1$.

Finally, subtract in the hundreds place: As there’s no digit to subtract from 4, it remains $4$.

Therefore, after performing the subtraction, the result is:

$\begin{array}{c} 417 \\ \end{array}$

Thus, the solution to the problem is $417$, which corresponds to choice 2.

Therefore, the solution to the problem is $417$.