Calculate the Difference: 23004 minus 11799 in Vertical Format

Video Solution

Solution Steps

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 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 $11205$ .