Subtract 855 from 4003: Vertical Format Multi-Digit Subtraction

Video Solution

Solution Steps

00:00 Solve

00:03 Each time consider borrowing 2 digits, and then place

00:06 3 is less than 5

00:09 The tens digit is also equal to 0 so we cannot borrow from it

00:12 The hundreds digit is also equal to 0 so we cannot borrow from it

00:15 We'll borrow a thousand from the thousands for the hundreds

00:19 So now instead of 0 we'll have 10, in hundreds!

00:22 And now we'll borrow ten from the hundreds for the tens

00:25 Which will turn the hundreds from 10 to 9

00:29 So now instead of 0 we'll have 10, in tens!

00:32 And now we'll borrow ten from the tens for the ones

00:35 Which will turn the tens from 10 to 9

00:39 So now instead of 0 we'll have 10, in ones!

00:44 Now subtract ones from ones, and place in ones

00:49 Subtract tens from tens, and place in tens

00:53 Subtract hundreds from hundreds, and place in hundreds

00:56 Place 0 in the missing digits

00:59 Subtract thousands from thousands, and place in thousands

01:03 And that's the solution to the problem

Step-by-Step Solution

To solve the subtraction problem $4003 - 855$ , we will perform the operation step-by-step, ensuring we manage the borrowing process correctly:

Step 1: Align the numbers for subtraction:
$4003$
$- 855$
It's important to start from the rightmost digit.
Step 2: Subtract the digits in the units place:
$3 - 5$ . Since 3 is less than 5, we need to borrow. There is nothing in the tens place to borrow, so we move to the hundreds.
Borrow 1 from the hundreds place (turning the 0 into a 9 in the tens place), and reborrow 1 from there. So, the new setup is:
$3$ becomes $13$ (in units place), $0$ becomes $9$ (in tens place), and reduce $0$ to $9$ in hundreds place.
Step 3: Perform the subtraction in the units place now:
$13 - 5 = 8$ , so write down 8.
Step 4: Move to the tens place:
$9 - 5 = 4$ , write down 4.
Step 5: Move to the hundreds place:
$9 - 8 = 1$ , write down 1.
Step 6: Finally, address the thousands place:
$3 - 0 = 3$ , write down 3.

The result of $4003 - 855$ is $3148$ .

The correct choice that matches this result is option 3: $3148$ .