Addition With Regrouping
Adding with regrouping is a method in mathematics used when two or more numbers are required for addition. The method of addition with regrouping is done when the numbers either small or large are placed in their appropriate spot according to the place value system columnwise. Regrouping is a method that can be conducted while adding and subtracting any two or more numbers.
What is Addition With Regrouping?
Addition with regrouping is a process of arranging numbers in groups of tens to perform either addition or subtraction. The word regrouping in addition means carry forward or carrying over while in subtraction, regrouping means borrowing. In addition with regrouping, we place two or more large numbers vertically or columnwise according to their place value, and when a number reaches a maximum of nine while adding, we use the method of regrouping. For example, consider numbers 8 and 5 placed in the one's column written columnwise and the total is 13. Here, you would write 3 in the one's column, and carry 1 over to the tens column making it 13.
Addition With Regrouping Method
Addition with regrouping can be done with both 2digit numbers and 3digit numbers. The process of regrouping will be similar but in the 3digit numbers we will be considering the hundreds column as well while in the 2digit numbers we will only be considering tens and ones. The main aspect of solving addition with regrouping problems is arranging the numbers according to their place value i.e. ones, tens, hundreds, etc. Once we have this place, addition or subtraction with regrouping of large numbers will become a simple process.
Here are the simple steps that can be followed while addition with regrouping:
 Step 1: Arrange the numbers vertically or columnwise (numbers can be 2digits, 3digits, large numbers, etc).
 Step 2: While arranging the numbers vertically, place them according to their place value  ones, tens, hundreds, etc.
 Step 3: Just like normal addition, start from the one's place.
 Step 4: If the total is more than nine, write the total number's one's number under the one's place value and carry forward the ten's number to the ten's place.
 Step 5: Once the total of the one's place value is obtained, add the numbers in the ten's place value to find the final total.
2Digit Addition With Regrouping
In addition, regrouping 2digit numbers is done columnwise by placing the numbers according to their place values. Let us look at an example with 2digit numbers and solve it by using the steps mentioned above. Add 38 + 26.
Step 1 + 2: Arrange 38 and 26 columnwise according to their place value. 8 and 6 will come in the one's column and 3 and 2 will come in the ten's column.
Step 3 + 4: Begin with the one's column i.e. add 8 + 6 = 14. Place 4 under the one's column in the answer section and carry forward 1 to the ten's column.
Step 5: Add 3 + 2 in the ten's column. Since 1 has been carried over from the one's place, we need to add 3 + 2 + 1 = 6.
Therefore, 38 + 26 = 64.
3Digit Addition With Regrouping
Similar to the 2digit addition, we can add 3digit numbers with regrouping by following the same steps. In 3digit numbers, the place values will be ones, tens, and hundreds. Let us look at an example: Add 295 + 145.
Step 1 + 2: Arrange 295 and 145 columnwise according to their place value. 5 and 5 will come in the one's column, 9 and 4 will come in the ten's column, and 2 and 1 will come in the hundred's column.
Step 3 + 4: Begin with the one's column i.e. add 5 + 5 = 10. Place 0 under the one's column in the answer section and carry forward 1 to the ten's column.
Step 5: Add 9 + 4 in the ten's column. Since 1 has been carried over from the one's place, we need to add 9 + 4 + 1 = 14. Place 4 in the ten's column and carry forward 1 to the hundred's column.
Step 6: Add 2 + 1 in the hundred's column. Since 1 has been carried over from the one's place, we need to add 2 + 1 + 1 = 4.
Therefore, 295 + 145 = 440.
Addition of Decimals With Regrouping
For addition decimals with regrouping, follow the steps given below:
 Step 1: Arrange the numbers according to their place value, such that the decimals are lined perfectly.
 Step 2: Write zeroes in the places wherever the length of decimal numbers is not the same.
 Step 3: Now add the decimal numbers and find the output to addition.
Let us look at a simple example: 15.5 + 3.9. We can separate the decimals from the whole numbers. 15.5 + 3.9 = (15 + 0.5) + (3 + 0.9) = (15 + 3) + (0.5 + 0.9) = 18 + 1.4 = 18 + (1 + 0.4) = 19.4. As we see the split between the numbers, the regrouping or carry over is done the similar manner as normal addition with regrouping. Here, the addition of 0.5 + 0.9 is the same as the addition of 5 + 9 = 14. And the decimal is placed in the answer 1.4. The number 1 will be carried forward to the ten's place for addition to continue.
Related Topics
Here are a few related topics to addition with regrouping, take a look.
Examples on Addition With Regrouping

Example 1: Add the numbers 68 and 23 with regrouping.
Solution: 2digit addition with regrouping is done by following the simple steps. Place the numbers columnwise according to their place value. Add the numbers at the one's column i.e. 8 + 3 = 11. 1 will be written in the one's column and 1 will be carried forward to the ten's column. Move ahead to the ten's column i.e. 6 + 2. Since 1 was carried over from the one's column, we add 6 + 2 + 1 = 9.
Therefore, 68 + 23 = 91.

Example 2: Using addition with regrouping, add the 3digit numbers 162 and 349.
Solution: 3digit addition with regrouping is done by following the simple steps. Place the numbers columnwise according to their place value. Add the numbers at the one's column i.e. 2 + 9 = 11. 1 will be written in the one's column and 1 will be carried forward to the ten's column. Move ahead to the ten's column i.e. 6 + 4. Since 1 was carried over from the one's column, we add 6 + 4 + 1 = 11. 1 will be written in the ten's column and 1 will be carried over to the hundred's column. Finally, add the hundred's column i.e. 1 + 3. Since 1 was carried over from the ten's column, we add 1 + 3 +1 = 5.
Therefore, 162 + 349 = 511.

Example 3: Sam and Josie go seashell hunting. Sam finds 120 seashells and Josie finds 90 seashells. How many seashells do Sam and Josie collect in total?
Solution: Given,
Sam = 120 seashells
Josie = 90 seashells
To calculate the total number of seashells, we use addition with regrouping.
Therefore, the total seashells collect by Sam and Josie are 120 + 90 = 210.
FAQs on Addition With Regrouping
What is Meant by Addition With Regrouping?
Addition with regrouping is a process of arranging two or more large numbers columnwise according to their place values. Addition with regrouping can be performed with 2digit numbers, 3digit numbers, and so on. There can be two or more numbers placed columnwise for addition.
What are the Steps for Addition With Regrouping?
Addition with regrouping can be done by following simple and easy steps. They are:
Step 1: Arrange the numbers columnwise according to their place value.
Step 2: First add the number at the one's place.
Step 3: If the total is more than nine, write the total number's one's number under the one's place value and carry forward the ten's number to the ten's place.
Step 4: Add the numbers in the ten's place value along with the number that is carried over to find the final total.
How to Solve 2Digit Addition With Regrouping?
Similar to addition, 2digit addition with regrouping is also performed in a columnwise manner. The numbers are placed according to their place value i.e. ones and tens. Regrouping or carry forward is done when the total of the first column's number is more than nine, the number is forwarded to the ten's place. For example, 23 + 18. 3 and 8 are in the one's column and 2 and 1 are in the ten's column. We begin with adding 3 + 8 = 11. 1 from the one's place from 11 is written in the one's column and 1 in the ten's place from 11 is carried forward. Adding the ten's column along with the carried forward one, 2 + 1 + 1 = 4. Hence, 23 + 18 = 41.
How to Solve 3Digit Addition With Regrouping?
Similar to 2digit addition with regrouping, 3digit numbers are also added in the same manner. The numbers are placed according to their place value i.e. ones, tens, and hundreds. If the number is more than nine in one column, we carry forward the number to the next column. For example, 128 + 94. 8 and 4 are in the one's column, 2 and 9 are in the ten's column, and 1 is in the hundred's column. Add 8 + 4 = 12. From 12, 2 is written in the one's column and 1 is carried forward. Add 2 + 9 along with the carried forward number so, 2 + 9 + 1 = 12. From 12, 2 is written in the ten's column and 1 is written in the hundred's column. Finally, add 1 + 1 (carried forward number) = 2. Hence, 128 + 94 = 222.
Is Regrouping the Same as Carrying in Addition?
Yes, the words regrouping and carrying mean the same. Regrouping can also be called carrying or carry over and the meaning is the same. When 2digit numbers addition with regrouping is considered, we begin with the one's place and carry over to the ten's place. While for 3digit numbers addition with regrouping can be done in both the ten's place and the hundred's place or just one place value.
How Do You Add Two Decimal Numbers With Regrouping?
For adding two decimals with regrouping, we can use the following steps:
 Step 1: Write the numbers according to their place value, such that the decimals are lined perfectly.
 Step 2: Write zeroes in the places wherever the length of decimal numbers is not the same.
 Step 3: Now add the decimal numbers and find the output to addition.
Let us understand this with the help of a simple example: 23.1+ 4.23 = 23.10 + 4.23 = 27.33.
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