Solve: 3732 minus 2865 Using Vertical Subtraction

Video Solution

Solution Steps

00:00 Solve

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

00:09 2 is less than 5

00:13 Therefore we'll subtract 1 from the tens, and add this amount to the ones

00:17 Meaning now instead of 2 we'll have 12

00:20 We'll subtract the ones from the ones plus ten

00:23 We'll place in the ones

00:29 2 is less than 6

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

00:36 Meaning now instead of 2 we'll have 12

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

00:45 We'll place in the tens

00:50 6 is less than 8

00:54 Therefore we'll subtract 1 from the thousands, and add this amount to the hundreds

00:59 Meaning now instead of 6 we'll have 16

01:04 We'll subtract the hundreds from the hundreds plus hundred

01:07 We'll place in the hundreds

01:10 We'll subtract thousands from thousands, and place in thousands

01:13 And this is the solution to the question

Step-by-Step Solution

To solve the subtraction problem $3732 - 2865$ , we will use the vertical subtraction method and ensure proper borrowing where needed:

Step 1: Subtract the units digit: $2 - 5$ . Since 2 is less than 5, we borrow 10 from the tens column, making it $12$ . Then, $12 - 5 = 7$ .
Step 2: Move to the tens digit: Due to borrowing, we now have $2$ (from the original 3) in the tens column. Subtract $6$ , i.e., $2 - 6$ . We need to borrow from the hundreds column, so $12 - 6 = 6$ .
Step 3: Hundreds digit: Originally, we have $7$ but reduced to $6$ due to prior borrowing. Subtract $8$ , i.e., $6 - 8$ . We borrow from the thousands: $16 - 8 = 8$ .
Step 4: Thousands digit: Now having $2$ (from the original 3 due to borrowing), subtract $2$ : $2 - 2 = 0$ .

The solution to the subtraction of $3732 - 2865$ is $867$ .