Solve the Subtraction Problem: 664 minus 275 in Vertical Format

$\begin{aligned} &664 \\ -& \\ &275\\ &\underline{\phantom{776}} & \\ \end{aligned}$

To solve this problem, we will perform a detailed step-by-step subtraction:

• Step 1: Write the numbers in column format, aligning them by place value:

$\begin{array}{c} 664 \\ -275 ~~~\\ \hline \end{array}$

• Step 2: Start subtracting from the rightmost column (units place):

• Subtract the units: $4 - 5$. Since 4 is smaller than 5, we need to borrow from the tens place.

  - Borrow 1 from the tens (making it 5), the 4 becomes 14: $(14 - 5 = 9).$

• Step 3: Move to the tens place:

• Since we borrowed 1, we have the tens as 5 now, perform: $5 - 7$. Again, 5 is smaller than 7, so borrow from the hundreds place.

  - Borrow 1 from the hundreds (making it 5), the 5 becomes 15: $(15 - 7 = 8).$

• Step 4: Now, proceed to the hundreds place:

• After borrowing, the hundreds place is 5 (originally 6, minus 1 borrowed), perform: $5 - 2$.

  - No need to borrow here, simply calculate: $(5 - 2 = 3).$

• Step 5: Compile the final result from top to bottom:

• $389$

Therefore, the answer to the subtraction $664 - 275$ is $\mathbf{389}$.