4-Digit Addition

4-digit addition refers to the addition of numbers in which either one or both the addends are of 4 digits. The procedure of 4-digit addition is the same as 3-digit addition, with just an increase in the number of digits in the addends. Let us learn more about 4-digit addition with regrouping and without regrouping along with solved examples.

4-digit addition requires the correct placing of numbers into columns using their respective place values, like ones, tens, hundreds, thousands, and so on. The addition of 4-digit numbers is done just like the addition of 2 or 3-digit numbers with and without carrying. In arithmetic addition, the numbers that are being added are called addends and the final result that we obtain after adding these numbers is called the sum.

While performing 4-digit addition, we mostly use the column addition method. Let us understand 4-digit addition using the following steps:

• Step 1: Place the numbers (addends) that are to be added in such a way that they are lined in columns according to their place values. For example, the ones digit should be under ones column, the tens digit should be under the tens column, and so on.
• Step 2: Then, the numbers can be added column by column from right to left, starting from the ones column.
• Step 3: Once the addition is done, the respective sums are written underneath.
• Step 4: The same procedure needs to be repeated for all the place values until we reach the thousands place.

While carrying out 4-digit addition, if the sum of the digits of the addends is less than or equal to 9, this addition is called 4-digit addition without regrouping or without carrying. Let us understand 4-digit addition with the help of an example. Let us add the 4-digit numbers: 6134 and 2423 using the following steps.

• Step 1: Add the numbers under the ones column. 4 + 3 = 7. Write 7 in ones column.
• Step 2: Add the numbers under the tens column. 3 + 2 = 5. Write 5 in the tens column.
• Step 3: Add the numbers under the hundreds column. 1 + 4 = 5. Write 5 in the hundreds column.
• Step 4: Add the numbers under the thousands column. 6 + 2 = 8. Write 8 in the thousands column.

It should be noted that the sum of each column is less than 9 so there is no regrouping. Thus, the addition of the 4-digit numbers 6134 and 2423 results in the sum 8557.

The addition in which the sum of digits of the addends is greater than 9 in any of the columns is called addition with regrouping or addition with carryover. To add two numbers with regrouping, we find the sum of the digits and then write only the units place digit of the sum in the respective column. Then, we carry over the tens place digit to the column to the immediate left and continue the addition. Let us understand 4-digit addition with regrouping using an example.

Example: Add the 4-digit numbers: 3195 and 6237.

Solution: Let us do the 4-digit addition with regrouping using the following steps.

• Step 1: Add the numbers in the ones column. 5 + 7 = 12. Write 2 in ones column and carry 1 to the tens column. (Regrouping)
• Step 2: Add the numbers in the tens column. 9 + 3 + 1 (carryover) = 13. Write 3 in tens column and carry 1 to the hundreds column. (Regrouping)
• Step 3: Add the numbers in the hundreds column. 1 + 2 + 1 (carryover) = 4. Write 4 in the hundreds column.
• Step 4: Add the numbers in the thousands column. 3 + 6 = 9 thousands. Write 9 in the thousands column.

Thus, the addition of 4-digit numbers 3195 and 6237 results in the sum 9432.

4-digit addition can also be done using 3 addends. Let us understand this with the help of an example.

Example: Add the 4-digit numbers: 4013, 1223, and 9903.

Solution: Let us follow the steps given below for the addition of 4-digit numbers.

• Step 1: Add the numbers in the ones column. 3 + 3 + 3 = 9. Write 9 in ones column.
• Step 2: Add the numbers in the tens column. 1 + 2 + 0 = 3. Write 3 in tens column.
• Step 3: Add the numbers in the hundreds column. 0 + 2 + 9 = 11. Write 1 in the hundreds column and carry 1 to the thousands column.
• Step 4: Add the numbers in the thousands column. 4 + 1 + 9 + 1 (carryover) = 15. Write 5 in the thousands column and 1 as the carryover in the ten thousands column. Since there is no number in the ten thousands column, we will bring down the carryover 1 in the ten thousands column.

Thus, the addition of the 4-digit numbers 4013, 1223, and 9903 results in the sum 15139.

☛ Related Articles

• 4-Digit Addition Worksheets
• 2-Digit Addition
• 2-Digit Multiplication
• 3-Digit Addition
• 3-Digit Subtraction
• 3-Digit Multiplication
• 2-Digit Subtraction
• Addition and Subtraction of Decimals
• Addition and Subtraction of Integers
• Subtraction With Regrouping
• Subtraction on Number Line

What is 4-Digit Addition in Math?

4-digit addition is the addition when either one or both the addends are of 4 digits. When performing 4-digit addition, we add each digit one by one starting from the ones column, followed by the tens column, the hundreds column and then the thousands column.

What is the Rule for 4-Digit Addition of Numbers?

The rules for the addition of 4-digit numbers are the same as for the addition of 2-digit numbers or 3-digit numbers. The basic rules for 4-digit addition are given below:

• We start adding the numbers column-wise from right to left, adding the numbers in each column. This means we start from the ones column, and then move on to the tens column, then to the hundreds column and so on.
• Once the addition is done, the respective sums are written underneath.
• The same procedure needs to be repeated for all the place values until we reach the thousands place.

Give an Example of 4-Digit Addition with Regrouping.

Here is an example of 4-digit addition with regrouping. Let us add 3195 and 6237.

• Step 1: Add the numbers in the ones column. 5 + 7 = 12. Write 2 in ones column and carry 1 to the tens column.
• Step 2: Add the numbers in the tens column. 9 + 3 + 1 (carry over) = 13. Write 3 in tens column and carry 1 to the hundreds column.
• Step 3: Add the numbers in the hundreds column. 1 + 2 + 1 (carry over) = 4. Write 4 in the hundreds column.
• Step 4: Add the numbers in the thousands column. 3 + 6 = 9. We will write 9 in the thousands column.

Thus, the sum of 3195 and 6237 is 9432.

How to do 4-Digit Addition without Regrouping?

4-digit addition without regrouping means adding the numbers column-wise starting from the ones column, followed by the tens column, then the hundreds column and then the thousands column. In this case, the sum of the numbers is always less than or equal to 9 so there is no carry-over, hence there is no regrouping of numbers.

What is 4-Digit Addition and Subtraction?

4-digit addition and subtraction are similar to 3-digit addition and subtraction except for the fact that the number of digits in the numbers should be 4. 4-digit addition means the addition in which one or both the addends are 4-digit numbers. Similarly, 4-digit subtraction means the subtraction which consists of 4-digit numbers.