Solve the Subtraction: 70005 minus 24126

Question

amp;70005amp;amp;24126amp;776amp; \begin{aligned} &70005 \\ -& \\ &24126 \\ &\underline{\phantom{776}} & \\ \end{aligned}

Video Solution

Solution Steps

00:00 Solve
00:03 Each time we consider borrowing 2 digits, and then we'll place
00:06 5 is less than 6
00:09 We'll want to borrow from the larger digits
00:12 Both tens and hundreds equal 0 so we'll borrow from the ten thousands
00:16 What will change the ten thousands from 7 to 6
00:19 And now we'll have 10 instead of 0, in thousands!
00:29 And we'll borrow from thousands to hundreds
00:32 We'll continue with the same method until we reach the ones
00:42 We'll borrow from tens to ones, and we'll have 15 instead of 5 in ones!
00:48 Subtract ones from ones, and we'll place in ones
00:53 Subtract tens from tens, and we'll place in tens
00:56 Subtract hundreds from hundreds, and we'll place in hundreds
01:02 Subtract thousands from thousands, and we'll place in thousands
01:07 Subtract ten thousands from ten thousands, and we'll place
01:10 And that's the solution to the question

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Align the two numbers vertically with the minuend (70005) on top and the subtrahend (24126) below it.
  • Step 2: Subtract digit by digit from the rightmost side and borrow as necessary.

Let's break this down:

Step-by-step Solution:

1. Subtract the rightmost digit:
- Subtract 6 from 5. Since 5 is less than 6, we need to borrow from the next digits.

2. Borrowing:
- The immediate next digit is '0', so we continue borrowing to the left. We borrow 1 from the third zero (turning it into a 9), which makes the second zero a 9 and the third zero a 9, and we subtract the borrowed 1 from the 7, turning it into 6.

3. Complete the subtraction:
- For the units column (now 15 and 6), subtract to get: 156=915 - 6 = 9.
- For the tens column (now 9 and 2), subtract to get: 92=79 - 2 = 7.
- For the hundreds column (now 9 and 1), subtract to get: 91=89 - 1 = 8.
- For the thousands column (6 and 4), subtract to get: 64=26 - 4 = 2.
- For the ten-thousands column (no borrowing needed, 6 and 2), subtract to get: 62=46 - 2 = 4.

The final result after all column-based subtractions, including borrowing corrections, is: 45879 \text{45879} .

Therefore, the solution to the problem is 45879 45879 .

Answer

45879