Solve Vertical Subtraction: 10154 minus 8154

$\begin{aligned} &10154 \\ -& \\ &~~8154 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

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: $2,000$