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 4-digit numbers.
Addition of 4-digit numbers
The four-digit numbers sum is as simple as the sum of two-digit numbers or three-digit and requires you only to learn with the sum of single-digit numbers and how to deal with carries.
Steps to add 4-digit numbers:
Step 1: Place the given 4-digit number below the another given 4-digit number and arrange them into columns according to their places like ones, tens, hundreds and thousands.
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 9 + 5 = 14, then put 4 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 4-digit numbers.
1. Addition of numbers that do not generate carry
Given four-digit numbers that are 2416 and 1222. Now we add them according to the above steps:
Step 1: Place the given 4-digit number that is 2416 below another 3-digit number 1222 and then arrange them into columns according to their places like once, tens, hundreds, and thousands.
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2
1
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4
2
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1
2
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6
2
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Step 2: Now we add the numbers column-wise. First, we add the number present in once’s column(i.e. 6 + 2 = 8), then tens’s column(i.e. 1 + 2 = 3), then hundreds’s column(i.e. 4 + 2 = 6) and then thousands’s column(i.e. 2 + 1 = 3).
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2
1
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4
2
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1
2
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6
2
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3 |
6 |
3 |
8 |
So the final result of the addition is 3638.
2. Addition of numbers that generate carry
Given four-digit numbers that are 3554 and 2879. Now we add them according to the above steps:
Step 1: Arrange the numbers according to their places like once, tens, hundreds, and thousands.
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+
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3
2
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5
8
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5
7
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4
9
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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.
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3
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5
8
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5
7
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4
9
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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.
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3
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5
8
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5
7
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4
9
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3 |
3 |
Step 4: Add the numbers of the hundreds’s column and the carry that is 5 + 8+ 1(carry) = 14. Similarly, we write 4 in the result and raise 1 as a carry for thousands’s columns.
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3
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5
8
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5
7
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4
9
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3 |
Step 5: Add the numbers of the thousands’s column and the carry that is 3 + 2 + 1(carry) = 6.
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3
2
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5
8
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5
7
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4
9
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6 |
4 |
3 |
3 |
So the final result of the addition is 6433.
3. Addition of three 4-digit numbers
Given three 4-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, hundreds, and thousands.
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+
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4
3
2
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5
3
4
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3
5
4
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4
2
8
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Step 2: Now we first add the number of once’s column that is 4 + 2 + 8 = 14. Here the sum is greater than 9 so we write 4 in the result and raise1 as a carry for tens’s column.
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4
3
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5
3
4
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3
5
4
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4
2
8
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4 |
Step 3: Add the numbers of tens’s column and the carry that is 3 + 5 + 4 + 1(carry) = 13. Similarly, we write 3 in the result and raise 1 as a carry for hundreds’s columns.
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4
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5
3
4
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3
5
4
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4
2
8
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3 |
4 |
Step 4: Add the numbers of hundreds’s column and the carry that is 3 + 5 + 4 + 1(carry) = 13. Similarly, we write 3 in the result and raise 1 as a carry for thousands’s columns.
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1 |
1 |
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+
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4
3
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5
3
4
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3
5
4
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4
2
8
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3 |
3 |
4 |
Step 5: Add the numbers of the thousands’s column and the carry that is 4 + 3 + 2 + 1(carry) = 10.
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1 |
1 |
1 |
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4
3
2
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5
3
4
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3
5
4
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4
2
8
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10 |
3 |
3 |
4 |
So the final result of the addition is 6433.
Sample Questions
Question 1: Find the sum of 3221, 1234, and 1111.
Solution:
Given 4-digit numbers are 3221, 1234, and 1111
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3
1
1
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2
2
1
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2
3
1
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1
4
1
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5 |
5 |
6 |
6 |
So the result of the addition is 5566.
Question 2: Find the sum of 5421, 2345, and 1982.
Solution:
Given 4-digit numbers are 5421, 2345, and 1982.
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1 |
1 |
0 |
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+
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5
2
1
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4
3
9
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2
4
8
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1
5
2
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9 |
6 |
4 |
8 |
So the result of the addition is 9648.
Question 3: Find the sum of 7871, 2321, and 1090.
Solution:
Given 4-digit numbers are 7871, 2321, and 1090.
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| (carry) |
1 |
1 |
0 |
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+
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7
2
1
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8
3
0
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7
2
9
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1
1
0
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11 |
2 |
8 |
1 |
So the result of the addition is 11281.
Question 4: Find the sum of 8328, 4322, and 1231.
Solution:
Given 4-digit numbers are 8328, 4322, and 1231
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| (carry) |
0 |
0 |
1 |
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+
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8
4
1
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3
3
2
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2
2
3
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8
2
1
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13 |
8 |
8 |
1 |
So the result of the addition is 13881.
Question 5: Find the sum of 889, 1231, and 1100.
Solution:
Given 4-digit numbers are 889, 1231, and 1100.
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T |
O |
| (carry) |
1 |
1 |
1 |
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+
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9
1
1
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8
2
1
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8
3
0
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9
1
0
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12 |
2 |
2 |
0 |
So the result of the addition is 12220.
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