Solve 782 Minus 6: Vertical Subtraction Problem

$\begin{aligned} &782 \\ -& \\ &~~~~6 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

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

• Step 1: Identify the digits involved in subtraction, starting with the units place.

• Step 2: Apply the subtraction rules column by column, performing borrowing if necessary.

• Step 3: Write down the result of each step and obtain the final answer.

Let's work through these steps:

Step 1: We are subtracting 6 from 782. Write the number 782 above the number 6, aligning them to the right:
$\begin{array}{c} 782 \\ - \phantom{\ }6 \\ \hline \end{array}$

Step 2: Begin the subtraction with the units digit (rightmost digits).

The units digit of 782 is 2, and we need to subtract 6 from it. Since 2 is smaller than 6, we must borrow from the tens place.

Borrow 1 from the tens digit (8), making it 7, and convert it to ten units. Now, add the borrowed 10 to the 2, making it 12 in the units place.

Now subtract 6 from 12, which gives us 6.

Step 3: Move to the tens place where we have adjusted the previous digit, 8 (now 7), which doesn’t involve subtraction as the only subtraction required was in the units place.

The hundreds digit remains unchanged as no borrowing affected it.

Therefore, we write this subtraction out as follows:

$\begin{array}{c} 782 \\ - \phantom{\ }6 \\ \hline \phantom{0}776 \\ \end{array}$

Therefore, the solution to the problem is $776$.