 # Subtraction with Regrouping – Definition, Facts, Examples | Steps in Subtracting Numbers with Regrouping

Subtraction is the basic operation in maths. Regrouping in subtraction is a process of borrowing the numbers from one place value to another place value. We use borrowing in subtraction when the minuend is smaller than the subtrahend. Know the importance of borrowing numbers in subtraction. Learn how to subtract with regrouping within no time. We provide the steps to subtract the numbers with regrouping from here.

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## What is Subtraction with Regrouping?

Subtraction means taking away the number from another number. Subtraction with Regrouping is a process of exchanging the numbers from tens place to ones place. If the number is less than the other subtrahend then you have to borrow the number from the next place value.

### Steps to Subtract with Regrouping

Regrouping in subtraction will take place when the top number is smaller than the bottom number being subtracted. Follow the steps or rules to subtract with regrouping.

1. First you need to place the subtrahend below the minuend according to the order of place values.
2. Now you have to subtract the numbers vertically.
3. Subtract each column separately in order, starting from ones place value.
4. If the minuend is less than the subtrahend then you have to regroup the number by taking the value from tens place.
5. Put the answer at the bottom of the column.
6. If you encounter a 0 while regrouping, just continues to the left until you find a non-zero number.
7. Continue the long subtraction until you have completed subtraction on all columns.

### Subtract 2-Digit Numbers with Regrouping | Double Digit Subtraction with Regrouping

Regrouping in 2-digit Subtraction means borrowing the number from tens place and using that value in ones place value and subtract. For better understanding go through the below example.

Example: Subtract 84 and 56.
Solution: This is a 2-digit subtraction with regrouping.
Working each column from right to left.
6 is greater than 4 so you must regroup:
Take 1 from 8, so it becomes 7.
Add 10 to 4, so it becomes 14
14 – 6 = 8
7 – 5 = 2
So, the result is 28.

### Subtract 3-Digit Numbers with Regrouping | 3 Digit Numbers with Regrouping

The most efficient way to subtract by hand is to regroup. The process of borrowing the one or zero from the top number if the bottom number of the equation is larger. You will understand the concept in brief by seeing the below example.

Example: 256 and 228
Solution: This is a 3-digit subtraction with regrouping.
Working each column from right to left.
8 is greater than 6 so you must regroup:
Take 1 from 5, so it becomes 4.
Add 10 to 6, so it becomes 16
16 – 8 = 8
4 – 2 = 2
So, the result is 28.

### Subtract 4-Digit Numbers with Regrouping

Subtracting 4-digit Numbers with Regrouping is similar to the subtraction of 2-digit numbers with regrouping. Let us see one example related to Subtracting Numbers with Regrouping.

Example: 1565 and 1237
Solution: This is a 4-digit subtraction with regrouping.
Working each column from right to left.
7 is greater than 5 so you must regroup:
Take 1 from 6, so it becomes 5.
Add 10 to 5, so it becomes 15
15 – 7 = 8
5 – 3 = 2
5 – 2 = 3
1 – 1 = 0
So, the result is 328.

### Subtraction with Regrouping Activities Examples

Example 1.
Subtract 85 and 17 with regrouping.

Solution: This is a 2-digit subtraction with regrouping.
Working each column from right to left.
7 is greater than 5 so you must regroup:
Take 1 from 8, so it becomes 7.
Add 10 to 5, so it becomes 15
15 – 7 = 8
7 – 1 = 6
So, the result is 68.

Example 2.
Subtract 565 and 319 with regrouping.

Solution: This is a 3-digit subtraction with regrouping.
Working each column from right to left.
9 is greater than 5 so you must regroup:
Take 1 from 6, so it becomes 5.
Add 10 to 5, so it becomes 15
15 – 9 = 6
5 – 1 = 4
So, the result is 46.

Example 3.
Subtract 912 and 335 with regrouping.

Solution: This is a 3-digit subtraction with regrouping.
Working each column from right to left.
5 is greater than 2 so you must regroup:
Take 1 from 1, so it becomes 0.
Add 10 to 2, so it becomes 12
12 – 5 = 7
3 is greater than 0
Take 1 from 9, so 9 becomes 8.
Add 10 to 0, so 0 becomes 10.
10 – 3 = 7
8 – 3 = 5
So, the result is 577.

Example 4.
Subtract 5565 and 3157 with regrouping.

Solution: This is a 4-digit subtraction with regrouping.
Working each column from right to left.
7 is greater than 5 so you must regroup:
Take 1 from 6, so it becomes 5.
Add 10 to 5, so it becomes 15
15 – 7 = 8
5 – 5 = 0
5 – 1 = 4
5 – 3 = 2
So, the result is 2408.

Example 5.
Subtract 56231 and 19536 with regrouping.

Solution: This is a 5-digit subtraction with regrouping.
Working each column from right to left.
6 is greater than 1 so you must regroup:
Take 1 from 3, so it becomes 2.
Add 10 to 1, so it becomes 11
11 – 6 = 5
3 is greater than 2
So take 1 from 2, so 2 becomes 1
Add 10 to 2, so 2 becomes 12.
12 – 3 = 9
5 is greater than 1
Take 1 from 6, so it becomes 5.
Add 10 to 1, so it becomes 11
11 – 5 = 6
4 -1 = 3
So, the result is 36695.

### FAQs on Subtraction with Regrouping

1. Do you always need to regroup when you subtract?

No. Subtraction with regrouping is necessary when you are doing vertical subtraction equations and the digit in the top row is smaller than the one in the bottom row in the same column.

2. What is regrouping in subtraction?

Subtraction with regrouping is a process of exchanging one tens into ten ones. We use regrouping in subtraction when the minuend is smaller than the subtrahend.

3. How does borrowing work in subtraction?

In subtraction, you borrow when you are subtracting one number that is greater than another number. For example, if you have to divide 8 from 127 then you have to borrow 1 from tens value and place in ones place value.

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