Subtract 2035 from 3614: Four-Digit Number Subtraction

Question

amp;3614amp;amp;2035amp;776amp; \begin{aligned} &3614\\ -& \\ &2035 \\ &\underline{\phantom{776}} & \\ \end{aligned}

Video Solution

Solution Steps

00:06 Let's solve this math problem. Follow along!
00:10 Subtract 2 digits, step by step. Are you ready?
00:14 First, 4 is less than 5.
00:17 So, we borrow 1 from the tens, making it 14.
00:22 Now, subtract the ones digit from 14.
00:26 Place this number in the ones column.
00:29 Next, 0 is less than 3.
00:33 Borrow 1 from the hundreds, making the tens 10.
00:37 Now, subtract from 10.
00:41 Place this number in the tens column.
00:45 Continue by subtracting the hundreds.
00:49 Put this number in the hundreds column.
00:52 Finally, subtract the thousands.
00:57 Place this number in the thousands column.
01:00 And there you have it! Problem solved!

Step-by-Step Solution

Let's solve the subtraction problem step by step:

First, align the numbers vertically by their place values:

3614 3 \, 6 \, 1 \, 4

2035- 2 \, 0 \, 3 \, 5

3189\underline{\phantom{3\, 1\, 8\, 9}}

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

  • In the ones column, 454 - 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: 145=914 - 5 = 9.

Next, move to the tens column:

  • After borrowing, we now have 030 - 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: 103=710 - 3 = 7.

Move to the hundreds column:

  • We have 505 - 0, which results in 5.

Finally, address the thousands column:

32=13 - 2 = 1.

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

1579 \underline{1 \, 5 \, 7 \, 9}

Therefore, the solution to the problem is 1579 1579 .

Answer

1579