Calculate the Difference: 23004 minus 11799 in Vertical Format

Q: What happens when I need to borrow from a zero?

Great question! When borrowing from 0, you need to keep borrowing left until you find a non-zero digit. Change each 0 to 9 as you go, then reduce the non-zero digit by 1.

Q: Why do we work from right to left in subtraction?

We start from the ones place because borrowing affects the digit to the left. Working right to left ensures we handle all borrowing correctly before moving to the next column.

Q: How can I check if my subtraction is correct?

Use addition to check! Add your answer to the number you subtracted: $ 11205 + 11799 = 23004 $. If you get the original number, you're right!

Q: What if the top number is smaller than the bottom number?

If the minuend (top) is smaller than the subtrahend (bottom), you'll get a negative answer. In this case, 23004 > 11799, so our answer is positive.

Q: Do I always need to borrow when subtracting?

No! You only borrow when the top digit is smaller than the bottom digit in that column. If 7 - 3, no borrowing needed. If 3 - 7, then you must borrow.

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

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

00:06 4 is less than 9

00:09 We want to borrow from the larger digits

00:12 Both tens and hundreds equal 0 so we'll borrow from thousands

00:15 What will change the thousands from 3 to 2

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

00:23 And we'll borrow from hundreds to tens

00:26 We'll have 10 in tens, and 9 in hundreds

00:30 And we'll continue with the same method, borrowing from tens to ones

00:35 We'll have 14 in ones, and 9 in tens

00:39 Subtract ones from ones, and place in ones

00:43 Subtract tens from tens, and place in tens

00:47 Subtract hundreds from hundreds, and place in hundreds

00:52 Subtract thousands from thousands, and place in thousands

00:56 Subtract ten thousands from ten thousands, and place

01:01 And this is the solution to the problem

Step-by-step written solution

Follow each step carefully to understand the complete solution

1

Understand the problem

$\begin{aligned} &23004 \\ -& \\ &11799 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

2

Step-by-step solution

To solve this subtraction problem, we will work through each digit systematically:

Units Place:
4 (from 23004) is less than 9 (from 11799). We need to borrow. We take 1 from the tens place of 23004, changing the tens digit from 0 to 9, and making the units digit 14.
Perform the subtraction: $14 - 9 = 5$ .
Tens Place:
Initially, we had 0 as the tens digit of 23004, but after borrowing, it became 9. Now, subtract: $9 - 9 = 0$ .
Hundreds Place:
0 is less than 7. We need to borrow. We take 1 from the thousands place (a 3), changing the thousands digit from 3 to 2, and making the hundreds digit 10.
Perform the subtraction: $10 - 7 = 3$ .
Thousands Place:
2 (after borrowing) and 1.
Perform the subtraction: $2 - 1 = 1$ .
Tens of Thousands Place:
2 - 1 (since we didn’t need to touch this digit for any borrowing) is simply $2 - 1 = 1$ .

Therefore, merging these stepped results, we find the final answer is $11205$ .

Thus, the solution to the subtraction problem is $11205$ .

3

Final Answer

11205

Key Points to Remember

Essential concepts to master this topic

Borrowing Rule: When digit is too small, borrow from left neighbor
Technique: 4 - 9 needs borrowing: make it 14 - 9 = 5
Check: Add answer to subtrahend: 11205 + 11799 = 23004 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to reduce the borrowed-from digit
Don't just add 10 to the borrowing digit and forget the rest = wrong calculation throughout! When you borrow 1 from a digit, that digit decreases by 1. Always reduce the borrowed-from digit by 1 before continuing.

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?

+

Great question! When borrowing from 0, you need to keep borrowing left until you find a non-zero digit. Change each 0 to 9 as you go, then reduce the non-zero digit by 1.

Why do we work from right to left in subtraction?

+

We start from the ones place because borrowing affects the digit to the left. Working right to left ensures we handle all borrowing correctly before moving to the next column.

How can I check if my subtraction is correct?

+

Use addition to check! Add your answer to the number you subtracted: $11205 + 11799 = 23004$ . If you get the original number, you're right!

What if the top number is smaller than the bottom number?

+

If the minuend (top) is smaller than the subtrahend (bottom), you'll get a negative answer. In this case, 23004 > 11799, so our answer is positive.

Do I always need to borrow when subtracting?

+

No! You only borrow when the top digit is smaller than the bottom digit in that column. If 7 - 3, no borrowing needed. If 3 - 7, then you must borrow.

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Calculate the Difference: 23004 minus 11799 in Vertical Format

Multi-Digit Subtraction with Multiple Borrowing

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