Solve the Subtraction Problem: 664 minus 275 in Vertical Format

Video Solution

Solution Steps

00:00 Solve

00:03 Each time we consider a shortage of 2 digits, and then we'll place

00:06 4 is less than 5

00:10 Therefore we subtract 1 from the tens and add this amount to the ones

00:14 So now instead of 4 we'll have 14

00:20 Subtract the ones from the ones plus ten

00:23 Place in ones

00:28 5 is less than 7

00:32 Therefore we subtract 1 from the hundreds and add this amount to the tens

00:37 So now instead of 5 we'll have 15

00:41 Subtract the tens from the tens plus ten

00:46 Place in tens

00:51 Subtract hundreds from hundreds, and place in hundreds

00:57 And this is the solution to the problem

Step-by-Step Solution

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

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

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 $\mathbf{389}$ .