Solve: 5421 minus 3675 in Vertical Subtraction Format

To solve this problem, we'll execute vertical subtraction with regrouping as follows:

Let's start by aligning the numbers one above the other:
$\begin{array}{c} && 5 & 4 & 2 & 1 \\ - & & 3 & 6 & 7 & 5 \\ \hline \end{array}$

We begin subtraction from the rightmost digits (units place):

• Units: $1 - 5$ requires borrowing because 1 is less than 5. Borrow 1 from the tens (making it 3), turning 1 into 11. Now, $11 - 5 = 6$.

Next, subtract the tens:

• Tens: $2 - 7$ requires borrowing because 2 is less than 7. Borrow 1 from the hundreds (making it 3), turning 2 into 12. Now, $12 - 7 = 5$.

Then, subtract the hundreds:

• Hundreds: $3 - 6$ requires borrowing because 3 is less than 6. Borrow 1 from the thousands (making it 4), turning 3 into 13. Now, $13 - 6 = 7$.

Finally, subtract the thousands:

• Thousands: $4 - 3 = 1$.

Putting it all together, the result is:

$\begin{array}{c} & 5 & 4 & 2 & 1 \\ - & 3 & 6 & 7 & 5 \\ \hline & 1 & 7 & 4 & 6 \\ \end{array}$

Therefore, the solution to the problem is $1746$.