Addition - with regrouping or carrying

Column Addition with Regrouping
Column addition with regrouping is a method for adding multi-digit numbers by arranging them vertically in columns based on their place value. “Regrouping” (also known as carrying over) is used when the sum of a column is 10 or greater.

The following diagram gives an example of 2-digit column addition with regrouping. Scroll down the page for more examples and addition games.

 

Steps for 2-Digit Column Addition with Regrouping
Let’s use the example 38+26 to walk through the process.

1. Arrange the numbers: Write the numbers one on top of the other, aligning the digits in their correct place value columns (ones and tens).
   
2. Add the ones column: Start with the column on the far right—the ones column. Add the digits in this column: 8+6=14.
   
3. Regroup: Since the sum is 10 or greater, you must regroup. The number 14 has a 4 in the ones place and a 1 in the tens place.
   Write the 4 in the answer space under the ones column.
   “Carry over” or “regroup” the 1 (which represents 10) to the top of the tens column.
   
4. Add the tens column: Now, add the digits in the tens column, including the number you carried over.
   1+3+2=6.
   Write the 6 in the answer space under the tens column.
   The final answer is 64.

Videos

Adding a 2 digit number to a 1 digit number
Introduction to carrying.
Examples:
11 + 4
28 + 7

• Show Step-by-step Solutions

Adding two digit numbers with regrouping
This video demonstrates adding two digit numbers with regrouping, showing the addition with longs and cubes (base 10 blocks).
Example:
38 + 27

• Show Step-by-step Solutions

Learn how to add 2 and 3-digit numbers
Also learn how to check your answer using the inverse operation.
Examples:
176 + 148
74 + 46
465 + 321

• Show Step-by-step Solutions

Learn how to add 4-digit numbers
You will also learn how to check your answer using the inverse operation.
4,326 + 2,467
15,986 + 13,855

• Show Step-by-step Solutions

Addition with Regrouping
Students will learn how to add with regrouping up to 4-digit numbers.
Example:
8,463 + 4,267

• Show Step-by-step Solutions

Free Addition Games
One More, One Less	1-Digit Addition	1-Digit Addition (Timed)
Add Doubles	Number Bonds	Add 3 or more single digits
2-Digit + 1-Digit (no regrouping)	2-Digit + 1-Digit (with regrouping)	Add Multiples of 10
2-Digit + 2-Digit (no regrouping)	2-Digit + 2-Digit (with regrouping)	3-Digit Addition

 

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