Adding 4-digit Numbers with Regrouping is similar to the addition of 4-digit numbers. In this concept, the number greater than 9 will be carried to the next place value. This article helps the students a lot to enhance their knowledge on the addition of 4 digit numbers with regrouping. Get a brief explanation for the questions from the below section. Learn the concepts of Adding 4 Digit Numbers Carrying here.

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## What is Regrouping?

In mathematics, regrouping a process of making a group of tens when adding or subtracting four digit numbers. Another name for regrouping is carry or carryforward. There are some solved problems related to Adding 4-digit Numbers with Regrouping in the below section.

### Regrouping in Addition

Regrouping in Addition means carrying the number from ones to tens, tens to hundreds, and from hundreds to thousands. Let us see one example for your better understanding of Addition with Regrouping.

**Example: Add 927 and 324 with regrouping**

Ones place:

7 + 4 = 11

Put 1 in ones place

Carry the 1 to the tens place

Tens Place:

1 + 2 + 2 = 5

Put the 5 in tens place

Hundreds place value

9 + 3 = 12

Put the 2 in hundreds place

Carry the 1 to the thousands place.

### Rules to Add 4 Digit Numbers with Regrouping | How to Add Four Digit Numbers with Carry Over?

There are some rules for adding 4 digit numbers with regrouping. We have given the steps to add 4-digit numbers with carrying.

Step 1: First place the numbers according to the place value start from ones place.

Step 2: Arrange the two 4-digit addends in order.

Step 3: Add the numbers vertically.

Step 4: Add the numbers in ones place if the result is greater than 9 carry the tens place value to the next place value i.e, tens place.

Step 5: Add the numbers in tens place and also add the carried value and write the result.

Step 6: If the result is greater than 9 carry the digit to hundreds place.

Step 7: Repeat the process until the thousands place.

Step 8: If you get the 2-digit value in thousands places, write the result in ten thousand place.

### Adding 4-Digit Numbers with Regrouping Examples

**Example 1.**

Add the largest four-digit number with the smallest four-digit number.

**Solution:**

The largest 4 digit number is 9999

The smallest 4 digit number is 1000

Ones place value

9 + 0 = 9

So, 9 in the ones place

Tens place value

9 + 0 = 9

So, 9 in the tens place

Hundreds place value

9 + 0 = 9

So, 9 in the hundreds place

Thousand place value

9 + 1 = 10

Carry 1 to the ten thousand place

So, the result is 10999

**Example 2.**

Add 3524, 1565, 6213 with regrouping.

**Solution:**

Ones place value

5 + 5 + 3 = 13

Put 3 in ones place and Carry 1 to the tens place

Tens place value

1 + 2 + 6 + 1 = 10

Put 0 in the tens place and Carry 1 to the hundreds place

Hundreds place value

1 + 5 + 5 + 2 = 13

Put 3 in the hundreds place and Carry 1 to the thousands place

Thousand place value

1 + 3 + 1 + 6 = 11

Put 3 in the thousands place and Carry 1 to the ten thousand place

Ten Thousands place

1 = 1

Put 1 in Ten Thousands place

Thus the result is 11303

**Example 3.**

Add 7792 and 0237 with regrouping.

**Solution:**

Ones place value

2 + 7 = 9

Put 9 in ones place

Tens place value

9 + 3 = 12

Put 2 in the tens place and Carry 1 to the hundreds place

Hundreds place value

1 + 7 + 2 = 10

Put 0 in the hundreds place and Carry 1 to the thousands place

Thousand place value

1 + 7 = 8

Put 8 in the thousands place

Thus the result is 8029

**Example 4.**

Add 9562 and 1234 with regrouping.

**Solution:**

Ones place value

2 + 4 = 6

Put 6 in ones place

Tens place value

6 + 3 = 9

Put 9 in the tens place

Hundreds place value

5 + 2 = 7

Put 7 in the hundreds place

Thousand place value

9 + 1 = 10

Put 0 in the thousands place and carry 1 to ten thousand place

Thus the result is 10796.

**Example 5.**

Add 9024 and 1056 with regrouping.

**Solution:**

Ones place value

4 + 6 = 10

Put 0 in ones place and carry 1 to tens place.

Tens place value

1 + 2 + 5 = 8

Put 8 in the tens place

Hundreds place value

0 + 0 = 0

Put 0 in the hundreds place and Carry 1 to the thousands place

Thousand place value

9 + 1 = 10

Put 0 in the thousands place and Carry 1 to the ten thousands place

Thus the result is 10080

### FAQs on Adding Four Digit Numbers with Regrouping

**1. What is 4 digit addition with regrouping?**

When adding 4-digit numbers together, especially those that need regrouping, it is easy to add the numbers vertically. To start adding in the ones column and move to the left. If an answer in any column is greater than 9, place the ones digit in the answer, and carry the ten to the next column.

**2. What is an example of regrouping in math?**

Moving an amount (usually 10) from one part of a calculation to another so it is easier to do the calculation.

Example:

8 6 4 2

+1 2 5 9

9 8 0 1

**3. What does regrouping mean in addition?**

Regrouping in math is a term used to describe the process of changing groups of ones into tens to make adding and subtracting easier. In addition, you regroup when the numbers you are adding come out to four-digit numbers if they are greater than 9.