Subtract 2035 from 3614: Four-Digit Number Subtraction

Video Solution

Solution Steps

00:00 Solve

00:03 Each time subtract 2 digits, and then we'll place

00:07 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 will have 14

00:19 Subtract the ones from the ones plus ten

00:22 Place in ones

00:25 0 is less than 3

00:30 Therefore we subtract 1 from the hundreds, and add this amount to the tens

00:35 So now instead of 0 we will have 10

00:39 Subtract the tens from the tens plus ten

00:43 Place in tens

00:46 Subtract hundreds from hundreds, and place in hundreds

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

00:54 And this is the solution to the problem

Step-by-Step Solution

Let's solve the subtraction problem step by step:

First, align the numbers vertically by their place values:

$3 \, 6 \, 1 \, 4$

$- 2 \, 0 \, 3 \, 5$

$\underline{\phantom{3\, 1\, 8\, 9}}$

We start the subtraction from the rightmost digit (ones place):

In the ones column, $4 - 5$ is not possible, so we need to borrow. Borrow 1 from the tens place.
The 1 in the tens place becomes 0, and the 4 in the ones place becomes 14.
Perform the subtraction: $14 - 5 = 9$ .

Next, move to the tens column:

After borrowing, we now have $0 - 3$ , which is not possible. We need to borrow from the hundreds place.
The 6 in the hundreds place becomes 5, and the 0 in the tens place becomes 10.
Perform the subtraction: $10 - 3 = 7$ .

Move to the hundreds column:

Finally, address the thousands column:

$3 - 2 = 1$ .

Placing it all together, the result of subtracting 2035 from 3614 is:

$\underline{1 \, 5 \, 7 \, 9}$

Therefore, the solution to the problem is $1579$ .