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Addition of 3 digit Numbers

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Numbers are the most important part of mathematics and our day-to-day life, without numbers we cannot do counting like counting the total number of things, date, time, money, etc. In mathematics, numbers are defined as an arithmetic value that is used to represent a quantity and further used in the calculation. Numbers can be even, odd, prime, composite, decimal, fraction, rational, irrational, natural, whole, real, complex, etc. Using numbers we can perform different types of arithmetic operations like addition, subtraction, multiplication, division, etc. In this article, we will learn how to add 3-digit numbers. 

Addition of 3-digit numbers

Three-digit numbers sum is as simple as the sum of two-digit numbers and requires you only to learn with the sum of single-digit numbers and how to deal with carries.

Steps to add 3-digit numbers:

Step 1: Place the given 3- digit number below the another given 3-digit number and arrange them into columns according to their places like ones, tens, and hundreds.

Step 2: Now start adding columns in a sequence starting from ones.

Step 3: When the sum of two digits in once’s column is greater than 9 like 8 + 5 = 13, then put 3 in the result and pass 1 as a carry to the tens’s column which will add with numbers present in that column. This carry concept is the same for all the columns.

Below is the pictorial example of how to add 3-digit numbers.

1. Addition of 3-digit numbers that does not generate carry

Given three-digit numbers that are 111 and 111. Now we add them according to the above steps:

Step 1: Place the given 3- digit number that is 111 below another 3-digit number 111 and then arrange them into columns according to their places like once, tens, and hundreds.

  H T O
+

1

1

1

1

1

1

Step 2: Now we add the numbers column-wise. First, we add the number present in once’s column(i.e. 1 + 1 = 2), then tens’s column(i.e. 1 + 1 = 2), and then hundreds’s column(i.e. 1 + 1 = 2). 

  H T O
+

1

1

1

1

1

1

  2 2 2

So the final result of the addition is 222.

2. Addition of 3-digit number that generates a carry

Given three-digit numbers that are 354 and 279. Now we calculate their sum step by step:

Step 1: Arrange the numbers according to their places like once, tens, and hundreds.

  H O
  1 1 0

+

3

2

5

7

4

9

Step 2: Now we first add the number of once’s column that is 4 + 9 = 13. Here the sum is greater than 9 so we write 3 in the result and raise1 as a carry for tens’s column.

  H O
    1 0

+

3

2

5

7

4

9

      3

Step 3: Add the numbers of tens’s column and the carry that is 5 + 7 + 1(carry) = 13. Similarly, we write 3 in the result and raise 1 as a carry for hundreds’s columns. 

  H O
(carry) 1 1 0

+

3

2

5

7

4

9

    3 3

Step 4: Add the numbers of the hundreds’s column and the carry that is 3 + 2+ 1(carry) = 6. 

  H O
(carry) 1 1 0

+

3

2

5

7

4

9

  6 3 3

So the final result of the addition is 633.

3. Addition of three 3-digits numbers

Given three 3-digit numbers are 471, 582, and 693. Now we calculate their sum step by step:

Step 1: Arrange the numbers according to their places like once, tens, and hundreds.

  H T O

+

4

5

6

7

8

9

1

3

Step 2: Now we first add the number of once’s column that is 1 + 2 + 3 = 6. 

  H T O

+

4

5

6

7

8

9

1

3

      6

Step 3: Add the numbers of tens’s column that is 7 +  8 + 9 = 24. So we write 4 in the result and raise 2 as a carry for hundreds’s column.

  H T O
(carry) 2 0  

+

4

5

6

7

8

9

1

3

    4 6

Step 3: Add the numbers of hundreds’s column that is 4 +  5 + 6 + 2(carry) = 17. 

  H T O
(carry) 2 0  

+

4

5

6

7

8

9

1

3

  17 4 6

So the final result of the addition is 1746.

Sample Questions

Question 1: Find the sum of 713 and 624.

Solution:

Given numbers are 713 and 624.

  H T O
(carry) 0 0  

 

+

7

6

1

2

3

4

  13 3 7

So the result of the addition is 1337.

Question 2: Find the sum of 728, 340, and 521.

Solution:

Given numbers are 728, 340, and 521

  H O
(carry) 1 0  

 

 

+

7

3

5

2

4

6

8

0

1

  16 2 9

So the result of the addition is 1629.

Question 3: Find the sum of 954, 262, and 72.

Solution:

Given numbers are 954, 262, and 72

  H T O
(carry) 1 0  

 

 

+

9

2

0

5

6

7

4

2

2

  12 8 8

So the result of the addition is 1288.

Question 4: Find the sum of 981, 981, and 981.

Solution:

Given numbers are 981, 981, and 981.

  H O
(carry) 2 0  

 

9

9

9

8

8

8

1

1

1

  29 4 3

So the result of the addition is 2943.

Question 5: Find the sum of 981, 976, and 201.

Solution:

Given numbers are 981, 976, and 201.

  O
(carry) 1 0  

 

9

9

2

8

7

0

1

6

1

  21 5 8

So the result of the addition is 2943.



Last Updated : 06 Jan, 2024
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