 # Addition of Four-Digit Numbers Definition with Examples | How to Add 4 Digit Numbers?

If you are interested to know how to add four-digit numbers, then this article helps you to get more information regarding the addition of 4-digit numbers. Certain rules have to be followed while adding four-digit Numbers. You can have a better understanding by checking the solved examples.

The addition is the process of calculating the sum of two or more numbers. When adding line up the numbers according to the place value. The numbers which we add are called addends and total is the sum. Adding 0 to sum doesn’t change the sum. Changing the order of addends doesn’t change the sum.

Follow the steps listed below to add four-digit numbers easily. They are along the lines

• Lineup the numbers according to the place value.
• Add the numbers from units place The sum is placed under unit digit.
• If the sum is>9, Write the one’s digit under the units and carry forward its tens digit to the tens place.
• Add the tens digit. If they are any carry forward add it along.
• Add the hundreds digit. If they are any carry forward add it along.
• Add the thousands digit. If there are any carryforward add it along.

### Addition of 4-Digit Numbers Examples

Example 1:

Solution:

2  5

+3  4
——–

5   9

——–

Here 2,5,3,4 are called operands. 59 is the sum.

Example 2:

Solution:

Th        H         T          O

1              1

8           5         6         4

+6          6         9          3
——–——–——–——–——–—

15            2             5         7

——–——–——–——–——–—

Here we added the addends 4,3 and the sum 7 is placed under one’s digit. We added the addends 6, 9 sum is 15. We write 5 under tens place and carry forward 1 to the hundreds digit. Add the hundreds digit along with the carry forward 1.Place the sum 2 under the hundred’s digit and carry forward 1 to the thousands digit. Add the thousand’s digit along with carryforward 1. Now the sum is 15.

Example 3:

4       5        6        3

+2      4        1         6

——–——–——–——–——–

6        9       7          9

——–——–——–——–——–

1. Sum of ones=3+6=9
2. Sum of tens=6+1=7
3. Sum of hundreds=5+4=9
4. Sum of thousands=4+2=6.Hence sum=6979.

Example 4:

6          7          8          5

+3         2            1        3

——–——–——–——–——–

9         9       9        8

——–——–——–——–——–

1)Sum of ones=5+3=8

2)Sum of tens=8+1=9

3)Sum of Hundreds=7+2=9

4)Sum of thousands=6+3=9

Hence the sum=9998.

Example 5:

3        4       6        7

+0       0       0       0
——–——–——–——–

3          4        6       7
——–——–——–——–

Therefore, adding 0 to a number does not change the number.

Example 6:

1    1

4    8     9    6

+6    3    4     3

——–——–——–

1 1    2    3    9

——–——–——

Start adding the digits from right to left. Add the units place and the sum is placed under units digit. Add the tens digit and the sum is placed under the tens digit. Since the sum is greater than 9 place tens digit under tens and carry forward 1 to the hundreds digit. Add the hundreds digit along with 1 which is carry forwarded. Place the sum under hundreds digit. Since the sum is greater than 9. Place 2 under hundreds digit and carry forward 1 to the thousands place. Add the thousand’s place. Place the sum under Thousands place.

1. From the sum subtract the first addend.

To check this consider the previous example where the addends are 6785 and 3213. The sum is 9998.

9  9  9  8

-6  7  8  5
——–——–

3 2  1 3
——–——–

2. We can subtract the second addend from the sum to get the first addend.

9   9   9   8

-3   2   1   3

——–——–
6    7   8  5
——–——–

### FAQ’S on Addition of Four-Digit Numbers

1. Adding 0 to the sum of the four-digit number changes its value?

Adding 0 to the sum of the four-digit value doesn’t change its value.

2. How do you check the sum of two operands is correct?

By Subtracting the first operand from the Sum, we get the second operand.

3. What is the sign of Addition?

+ is the sign of Addition.

4. When adding a 4-digit number when will you carry forward the digit?

If the sum is >9 carry forward the digit.

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