Solve the Vertical Subtraction: 8314 minus 5278

Video Solution

Solution Steps

00:00 Solve

00:03 Each time we consider a deficit of 2 digits, and then we place

00:06 4 is less than 8

00:09 Therefore we subtract 1 from the tens and add this amount to the ones

00:14 So now instead of 4 we will have 14

00:19 We subtract the ones from the ones plus ten

00:22 We place in the ones

00:29 0 is less than 7

00:33 Therefore we subtract 1 from the hundreds and add this amount to the tens

00:38 So now instead of 0 we will have 10

00:42 We subtract the tens from the tens plus ten

00:46 We place in the tens

00:50 We subtract hundreds from hundreds, and place in hundreds

00:56 We subtract thousands from thousands, and place in thousands

00:59 And this is the solution to the question

Step-by-Step Solution

To solve the problem of subtracting 5278 from 8314, we'll follow these steps:

Step A: Subtract the units: $4 - 8$ . Since 4 is less than 8, we need to borrow 1 from the tens column, making it $14 - 8 = 6$ .
Step B: After borrowing, the tens column is $0$ (since the 1 we borrowed from 1 in 31 becomes 30). So, $0 - 7$ again requires borrowing from hundreds, making it $10 - 7 = 3$ .
Step C: The hundreds column reduces to 2 after borrowing, leading to $2 - 2 = 0$ .
Step D: Finally, the thousands column, $8 - 5$ , gives us $3$ .

Therefore, the result of the subtraction $8314 - 5278$ is $3036$ .