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Long Subtraction Calculator with Regrouping (Borrowing)

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How to Subtract with Borrowing: Step-by-Step Method and Examples

Long Subtraction with Regrouping Calculator

What is Long Subtraction with Regrouping Calculator?

The Long Subtraction with Regrouping Calculator is an interactive math tool that shows you step-by-step subtraction with borrowing whenever it’s needed. Simply enter two whole numbers and instantly view the full column method, including every borrowing step.

This calculator is especially helpful for students learning how to subtract across zeros or larger digits, making subtraction easy to understand and visualize. Use it for quick homework checks, exam prep, or just to see every borrowing in action.

Formula Behind Long Subtraction with Regrouping

In long subtraction, if any digit in the minuend (top number) is smaller than the digit below it in the subtrahend (bottom number), we borrow 1 from the next left column (making that digit 10 higher for subtraction) and continue this process until all columns are subtracted. The difference is the answer.

Long Subtraction with Regrouping Table

Minuend	Subtrahend	Answer	Step-by-Step
452	389	63	4 5 2 - 3 8 9 ------- 6 3
1,000	389	611	1 0 0 0 - 0 3 8 9 ---------- 6 1 1
2,500	1,678	822	2 5 0 0 - 1 6 7 8 ---------- 8 2 2
1,020	417	603	1 0 2 0 - 0 4 1 7 ---------- 6 0 3
900	289	611	9 0 0 - 2 8 9 ------- 6 1 1

Steps to Use Long Subtraction with Regrouping Calculator

Enter the minuend (top number) and subtrahend (bottom number) in their respective boxes.
Click "Calculate" to get the result.
View the instant answer along with easy-to-follow, step-by-step column working and all borrowing notes.

Why Use Vedantu’s Long Subtraction with Regrouping Calculator?

Vedantu’s subtraction tool makes learning subtraction with regrouping easy by showing every borrowing clearly. It’s designed for mobile and desktop learners with a simple, touch-friendly interface for all ages.

Students can quickly check homework, clear doubts about borrowing across zeros, and practice aligned with school curricula. The calculator strictly uses accurate column subtraction exactly as taught in classrooms.

Applications of Long Subtraction with Regrouping Calculator

This subtraction calculator helps in real-life tasks like figuring out shopping change, checking bank balances, or working out marks differences between tests. It’s widely used for classroom practice or at home for school assignments.

Such subtraction methods are also applied in time calculations, event countdowns, and even helping kids understand money and measurements. You can explore related concepts—such as HCF or Prime Numbers—to build strong math foundations.

To expand your mastery, also check out Multiples in Maths, Factors of Numbers, and Algebra Topics for even more mathematical tools and explanations.

This subtraction tool is designed and reviewed by certified Vedantu Maths faculty, adheres to CBSE, ICSE, and NCERT guidelines, and is trusted by millions of Indian students for reliable school maths.

FAQs on Long Subtraction Calculator with Regrouping (Borrowing)

1. What is regrouping in subtraction?

Regrouping, also known as borrowing, is a technique used in subtraction when a digit in the top number (minuend) is smaller than the corresponding digit in the bottom number (subtrahend). It involves taking a value from a higher place value and adding it to the smaller digit to make subtraction possible. For example, if you're subtracting 25 from 42, you regroup by taking 1 ten from the 4 tens (leaving 3 tens) and adding it to the 2 ones (making it 12 ones), allowing you to subtract 5 from 12 and 2 from 3.

2. How do you subtract 3-digit numbers with borrowing?

Subtracting 3-digit numbers with borrowing follows the same principle as with smaller numbers. Start with the ones column. If the top digit is smaller, borrow 1 ten from the tens column (reducing the tens digit by 1 and adding 10 to the ones digit). If the tens digit is then smaller, borrow 1 hundred from the hundreds column. Continue this process for each column, subtracting from right to left.

3. What are the steps in subtraction with regrouping?

The steps for subtraction with regrouping are: 1. Write the numbers vertically, aligning the place values. 2. Starting with the ones column, subtract the bottom digit from the top digit. 3. If the top digit is smaller, borrow 1 from the next column to the left. 4. Add 10 to the top digit in the current column and subtract. 5. Repeat steps 3 and 4 for each column until you reach the leftmost column. 6. The result is the difference between the two numbers.

4. How do you do subtraction step by step?

Step-by-step subtraction involves working through each column of the numbers, starting from the rightmost (ones) column. Subtract the digits in each column. If a digit in the top number is smaller than the corresponding digit in the bottom number, borrow from the next column to the left, adding 10 to the top digit before subtracting. Continue this process for each column until all columns are subtracted.

5. What is long subtraction?

Long subtraction is a method used to subtract numbers with multiple digits. It involves writing the numbers vertically and subtracting column by column, starting from the rightmost column (ones). When a digit in the top number is less than the digit below it, you need to regroup (or borrow) from the next higher place value.

6. How to subtract with zeros?

Subtracting with zeros requires careful regrouping. If you encounter a zero in the top number, you must borrow from the next non-zero digit to the left. This can involve borrowing across multiple zeros. For example, in 1000 - 345, you would borrow from the 1000 to make the subtraction possible in each column.

7. Explain subtraction with borrowing.

Subtraction with borrowing is another name for regrouping in subtraction. It's the process of 'borrowing' a value from a higher place value column to perform subtraction when the digit in the top number is smaller than the digit in the bottom number in the same column. This borrowed value is added to the top digit, enabling the subtraction to be completed.

8. How do I solve subtraction problems with regrouping?

To solve subtraction problems with regrouping, begin by writing the numbers vertically, aligning the place values. Then, starting from the ones column, subtract the digits. If the top digit is smaller, borrow one from the next higher place value column, adding 10 to the top digit before subtracting. Continue this process for all columns.

9. What is the easiest way to learn subtraction with regrouping?

The easiest way to learn subtraction with regrouping is through practice and understanding the concept of borrowing. Start with simple examples and gradually increase the difficulty. Using visual aids like manipulatives (blocks or counters) can also be helpful to visualize the process of regrouping. Vedantu's resources and calculator can provide additional support.

10. Why is regrouping important in subtraction?

Regrouping is crucial in subtraction because it allows us to perform subtraction even when a digit in the top number is smaller than the corresponding digit in the bottom number. Without regrouping, we would not be able to accurately subtract larger numbers. It's a fundamental concept in arithmetic.

11. Can I use the Vedantu calculator for subtraction with regrouping?

Yes, Vedantu provides a free online calculator specifically designed for long subtraction with regrouping. This tool allows you to quickly calculate subtraction problems involving regrouping and shows you the step-by-step process, making it a valuable learning resource.