Are you confused about the subtraction of the 4-digit number? then you land on the correct page which will clearly explain how to subtract the 4-digit number. You will also find the four-digit number definition, Subtraction definition, subtraction of the four-digit number. You can also check solved examples on subtraction of four-digit numbers.
Do Refer: Addition of 4-Digit Numbers
Four-Digit Numbers
Four-digit numbers have only four digits. Every digit in the number has a place value. The order of place value starts from right to left as units, tens, hundreds, thousands, ten thousand’s, lakhs, etc.Examples of four-digit numbers are 5431, 6328, 9874, 3276, 8431, etc.
Subtraction
Subtraction is the process of finding the difference between two digits. The number from which the other number is subtracted is called minuend. The number which is subtracted is called subtrahend. The result of subtraction is called Difference.’-‘ sign is used to represent the subtraction.
Subtraction of Four-Digit Numbers | How to Subtract 4 Digit Numbers?
Subtraction of Four-digit numbers is similar to subtraction of three-digit numbers, two-digit numbers. The rules of subtraction are the same as the numbers having fewer digits.
- First, write the larger numbers at the top then the smaller numbers.
- Subtract the digits column-wise from right to left as ones, tens, hundreds, thousands, ten thousand’s, lakhs, etc.
Subtraction of Four-Digit Numbers Examples
Example 1:
Subtract 3426 from 6968?
Solution:
Write the largest number first and then the smallest number. Start subtracting the digits from ones, tens, hundreds, thousands, ten thousand’s, etc.
Th H T O
6 9 6 8
-3 4 2 6
——–——–——–——–——–
3 5 4 2
——–——–——–——–——–
1. Subtraction of one’s place i.e. 8-6=2. Write 2 in the unit’s place.
2. Subtraction of ten’s place i.e. 6-2=4. Write 4 in the tens place.
3. Subtraction of hundred’s place i.e. 9-4=5.Write 5 in the hundred’s place.
4. Subtraction of thousand’s place i.e. 6-3=3.Write 3 in the thousands place.
So the difference between 6968, 3426 is 3542.
Example 2:
Find the Difference between 8765, 2343?
Solution:
Th H T O
8 7 6 5
-2 3 4 3
——–——–——–——–——–
6 4 2 2
——–——–——–——–——–
The Difference between 8765 and 2343 is 6422.
Subtraction of Four-Digit Numbers with Borrowing Examples
When we have to subtract the large number from the small number then we will follow the borrowing method. Consider the following examples for better understanding.
Example 1:
Find the Difference between 5347, 3758.
Solution:
1. Arrange the largest number first and then the smallest number. Start subtracting from units digit.
Th H T O
3 17
5 3 4 7
-3 7 5 8
——–——–——–——–——–——–
9
——–——–——–——–——–——
Since we can not subtract 8 from 7 borrows ten from tens digit. so 17-8=9. Write 9 under one’s place.
2. We can not subtract 5 from 3 so borrow from hundreds. So 13-5=8. Write 8 under tens place.
Th H T O
2 13 17
5 3 4 7
-3 7 5 8
——–——–——–——–——–——–——–
8 9
——–——–——–——–——–——–——–—
3. We can not subtract 7 from 2.Borrow from thousand’s place. So 12-7=5. Write 5 under hundreds place.
Th H T O
4 12 13 17
5 3 4 7
-3 7 5 8
——–——–——–——–——–——–——–—
5 8 9
——–——–——–——–——–——–——–——–
4. Subtract 3 from 4.1 is written under thousand’s digit.
Th H T O
4 12 13 17
5 3 4 7
-3 7 5 8
——–——–——–——–——–——–——–——–——–
1 5 8 9
——–——–——–——–——–——–——–——–——
So the difference between 5347 and 3758 is 1589.
Example 2:
Find the difference between 4563,7348.
Solution:
1. Arrange the numbers 7348 and 4563. Start subtracting from one’s digit. i.e.8-3=5.Write 5 under one’s digit.
Th H T O
7 3 4 8
-4 5 6 3
——–——–——–——–——–
5
——–——–——–——–——–
2. We can not subtract 6 from 4 borrows ten from the hundreds digit and it is decreased by 1. So 10+4 becomes 14. Subtract 6 from 14. Write the digit 8 under tens place.
Th H T O
2 14
7 3 4 8
-4 5 6 3
——–——–——–——–——–
8 5
——–——–——–——–——–
3. We can not subtract 5 from 2. Borrow and then subtract 12-5=7. Write 7 under hundreds place.
Th H T O
6 12
7 3 4 8
-4 5 6 3
——–——–——–——–——–——–
7 7 5
——–——–——–——–——–——–
4. Subtract 4 from 6. Write the digit 2 under Thousands place.
Th H T O
6 12 14
7 3 4 8
-4 5 6 3
——–——–——–——–——–——–——–——–
2 7 7 5
——–——–——–——–——–——–——–——–
So the difference between 7348, 4563 is 2775.
FAQ’s on Subtraction of Four-Digit Numbers
1. How do you borrow using subtraction?
cross out the number you are borrowing from and subtract 1 from it.
Write the number 10 above the column where you are working and subtract the required digit from it.
2. What is subtraction?
The process of finding the difference between the two numbers.
3. What is the use of subtraction?
Subtraction is used when you want to deduct from a group of things.
4. Is the Subtraction of the four-digit number is same as the subtraction of the three-digit number?
Yes, the subtraction of the four-digit number is same as the subtraction of the three-digit number.