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To solve this subtraction problem, we will perform vertical subtraction, paying close attention to borrowing across zeros:
Step-by-step solution:
Write the numbers such that they align vertically, with the larger number on top and the smaller number directly below each corresponding digit:
Start subtracting from the rightmost digit:
1. Units place: . Since 4 is less than 6, borrow 1 from the tens place (next digit).
2. Tens place: Now, treat it as , but since you borrowed 1 for the units place, it becomes .
3. Hundreds place: Borrow from the thousands place since you need a digit to make . It becomes .
4. Thousands place: Now subtract from what remains after borrowing from it, , which equals 5.
5. Ten-thousands place: Since you borrowed to the right, in this position.
The subtraction yields the result as follows:
Therefore, the solution to the subtraction problem is .
25368
\( \begin{aligned} &105 \\ -& \\ &~~~~3 \\ &\underline{\phantom{776}} & \\ \end{aligned} \)
When you borrow 1 from a zero, that zero becomes 10, but since you're lending 1 to the next column, it becomes 10 - 1 = 9. Think of it like borrowing money - you get 10 but owe 1!
Start from the rightmost column where you can't subtract (like 4 - 6). Then work your way left, borrowing from each digit until you reach a non-zero number.
Don't worry! Just keep converting each zero to 9 as you move left. For example, in 80004, all the zeros become 9s: 7-9-9-9-14 after borrowing.
Yes! You can also estimate: 80,000 - 55,000 ≈ 25,000. Since 25368 is close to 25,000, your answer makes sense!
You'll get negative numbers or impossible subtractions like 4 - 6. If you see this happening, stop and borrow before continuing with that column.
Some students find it helpful to rewrite the number first. Change 80004 to 79994 + 10, but the borrowing method is more reliable for complex problems.
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