Solve Vertical Subtraction: 2382 minus 453

Video Solution

Solution Steps

00:00 Solve

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

00:06 2 is less than 3

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

00:14 So now instead of 2 we will have 12

00:19 Subtract the ones from the ones plus the ten

00:23 Place in the ones

00:28 Subtract tens from tens, and place in tens

00:33 3 is less than 4

00:36 Therefore we subtract 1 from the thousands, and add this amount to the hundreds

00:41 So now instead of 3 we will have 13

00:44 Subtract the hundreds from the hundreds plus the hundred

00:50 Place in hundreds

00:54 Place 0 in the missing digits

00:57 Subtract thousands from thousands, and place in thousands

01:00 And this is the solution to the question

Step-by-Step Solution

Let's solve the problem using vertical subtraction with regrouping:

1. Start by aligning the numbers vertically by place value:

$\begin{aligned} &2382 \\ - &\,453 \\ \end{aligned}$

2. Perform subtraction starting from the units place (rightmost) column:

Units: $2 - 3$ . Since $2$ is smaller than $3$ , we need to borrow from the tens place. Change $8$ in the tens place to $7$ and add $10$ to $2$ to make it $12$ . Now, $12 - 3 = 9$ .
Tens: Go to the tens column, which is now $7 - 5$ . Subtraction results in $2$ , as borrowing was resolved previously.
Hundreds: In the hundreds place, $3 - 4$ is not possible without borrowing. Borrow from the thousands place: Change $2$ to $1$ (thousands place) and add $10$ to $3$ (hundreds place), making it $13$ . Now, $13 - 4 = 9$ .
Thousands: The thousands place subtraction is $1 - 0$ , which simply results in $1$ .

After completing the subtraction across each column, the final result is:

$\begin{aligned} &1929 \\ \end{aligned}$

Thus, the solution to the subtraction problem is $1929$ .