Subtract 469 from 2007: Vertical Format Solution

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

• Step 1: Write the numbers vertically.

• Step 2: Start subtraction from the rightmost digit.

• Step 3: Borrow where necessary.

Now, let's work through each step:

Step 1: Set up the subtraction vertically:
     $2007$
   $- 469$

Step 2: Subtract starting from the rightmost digit:

• In the one's place, we have $7 - 9$. Since $7$ is smaller than $9$, we need to borrow. However, $0$ has no value to lend, so we need to also borrow from the hundreds place.

• In the tens place, $0$ becomes $10$ (after borrowing $1$ from the hundreds), but now we have to borrow $1$ for the ones place operation, leaving us with $9$ in the tens place. Thus, the ones place calculation becomes $17 - 9 = 8$.

• In the tens place, we subtract $6$ from the adjusted $9$ (due to earlier borrowing). Thus, $9 - 6 = 3$.

• In the hundreds place, initially $0$, now we have $9$ (after borrowing from the thousands, so it effectively becomes $9$). Thus, $9 - 4 = 5$.

• Finally, the thousands place remains $1$ as we have already borrowed $1$ away, and we have no number to subtract from it. So, it remains $1$.

The complete subtraction sequence gives us:

  $2007$
$- 469$
  $\overline{1538}$

Therefore, the solution to the problem is $1538$.