Subtract 2035 from 3614: Four-Digit Number Subtraction

Multi-Digit Subtraction with Borrowing

36142035776 \begin{aligned} &3614\\ -& \\ &2035 \\ &\underline{\phantom{776}} & \\ \end{aligned}

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
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 written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

36142035776 \begin{aligned} &3614\\ -& \\ &2035 \\ &\underline{\phantom{776}} & \\ \end{aligned}

2

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 .

3

Final Answer

1579

Key Points to Remember

Essential concepts to master this topic
  • Borrowing Rule: When top digit is smaller, borrow from the next column left
  • Technique: Transform 4 - 5 into 14 - 5 = 9 by borrowing from tens
  • Check: Add your answer to the smaller number: 1579 + 2035 = 3614 ✓

Common Mistakes

Avoid these frequent errors
  • Subtracting smaller from larger in wrong order
    Don't subtract 4 - 5 = 1 by flipping to 5 - 4 without borrowing = wrong answer in every column! This creates completely incorrect results like 1579 becoming 1511. Always borrow properly when the top digit is smaller than the bottom digit.

Practice Quiz

Test your knowledge with interactive questions

\( \begin{aligned} &15 \\ -& \\ &~~4 \\ &\underline{\phantom{776}} & \\ \end{aligned} \)

FAQ

Everything you need to know about this question

What happens when I need to borrow from a zero?

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When borrowing from a zero (like the tens column after borrowing), you need to keep borrowing left until you find a non-zero digit. The 6 becomes 5, the 0 becomes 10, then you can subtract normally!

Why do we start subtracting from the right side?

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We start from the ones place (rightmost) because that's how place value works! Each column represents a different power of 10, and borrowing affects the column to the right.

How can I check if my subtraction is correct?

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Use addition to check! Add your answer to the number you subtracted: 1579+2035=3614 1579 + 2035 = 3614 . If you get the original larger number, you're correct!

What if I make a mistake while borrowing?

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No worries! Start over from the beginning. It's better to restart than to fix multiple borrowing errors. Take your time with each column and double-check your borrowing.

Do I always need to borrow in subtraction?

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Only when the top digit is smaller than the bottom digit in any column. If all top digits are larger or equal, you can subtract directly without borrowing!

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