Solve the Subtraction: 70005 minus 24126

Q: What do I do when I need to borrow from zero?

When borrowing from zero, you need to keep going left until you find a non-zero digit! Each zero becomes 9, and the non-zero digit decreases by 1.

Q: Why does borrowing work?

Borrowing works because 10 ones = 1 ten! When you borrow 1 from the tens place, you're actually borrowing 10 ones, so 5 becomes 15.

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

Add your answer to the number you subtracted (subtrahend). If you get the original number (minuend), your answer is right!Example: $ 45879 + 24126 = 70005 $ ✓

Q: What if I make a mistake while borrowing?

Start over! Borrowing mistakes spread through the whole problem. It's faster to restart than to find and fix each error.

Q: Do I always start subtracting from the right?

Yes! Always start from the ones place (rightmost column) and work left. This ensures borrowing works correctly through all place values.

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

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 written solution

Follow each step carefully to understand the complete solution

1

Understand the problem

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

2

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: $15 - 6 = 9$ .
- For the tens column (now 9 and 2), subtract to get: $9 - 2 = 7$ .
- For the hundreds column (now 9 and 1), subtract to get: $9 - 1 = 8$ .
- For the thousands column (6 and 4), subtract to get: $6 - 4 = 2$ .
- For the ten-thousands column (no borrowing needed, 6 and 2), subtract to get: $6 - 2 = 4$ .

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

Therefore, the solution to the problem is $45879$ .

3

Final Answer

45879

Key Points to Remember

Essential concepts to master this topic

Alignment: Stack numbers vertically with place values properly aligned
Borrowing: When 5 < 6, borrow from left: 15 - 6 = 9
Check: Add result to subtrahend: 45879 + 24126 = 70005 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to adjust borrowed digits
Don't borrow 1 and forget to reduce the lending digit = wrong calculations throughout! When you borrow 1 from a digit, that digit becomes 1 less. Always reduce every digit you borrow from and continue the pattern across zeros.

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 do I do when I need to borrow from zero?

+

When borrowing from zero, you need to keep going left until you find a non-zero digit! Each zero becomes 9, and the non-zero digit decreases by 1.

Why does borrowing work?

+

Borrowing works because 10 ones = 1 ten! When you borrow 1 from the tens place, you're actually borrowing 10 ones, so 5 becomes 15.

How can I check if my subtraction is correct?

+

Add your answer to the number you subtracted (subtrahend). If you get the original number (minuend), your answer is right!

Example: $45879 + 24126 = 70005$ ✓

What if I make a mistake while borrowing?

+

Start over! Borrowing mistakes spread through the whole problem. It's faster to restart than to find and fix each error.

Do I always start subtracting from the right?

+

Yes! Always start from the ones place (rightmost column) and work left. This ensures borrowing works correctly through all place values.

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Solve the Subtraction: 70005 minus 24126

Multi-Digit Subtraction with Borrowing

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