4 Digit Subtraction
4 digit subtraction refers to the subtraction of numbers when the minuend is of 4 digits and subtrahend is either of 1, 2, or 3 digits. While solving 4 digit subtraction problems, we split the numbers into columns using their respective place values, as Ones, Tens, Hundreds, and Thousands. While solving such subtraction problems, we may encounter some cases with borrowing and some without borrowing.
In this article, let's learn about 4 digit subtraction with and without borrowing, along with solved examples.
1.  What Is 4 Digit Subtraction? 
2.  4 Digit Subtraction Without Carrying 
3.  4 Digit Subtraction With Carrying 
4.  FAQs on 4 Digit Subtraction 
What Is 4 Digit Subtraction?
4 digit subtraction requires splitting the numbers into columns using their respective place values, like ones, tens, hundreds, thousands, and so on. In subtraction, the bigger number or the number from which the other number is subtracted is called the minuend, and the smaller number or the number which is to be subtracted from the minuend is called the subtrahend. The final result of the subtraction of two numbers is called their difference.
The subtraction sum is written in columns as Minuend  Subtrahend = Difference.
When performing 4 digit subtraction, we mostly use the column method. Below given steps are followed for the same.
 Take the numbers, and write them one underneath the other, the minuend first, and then the subtrahend just below it.
 The numbers need to be lined up as per their place values such as the units in line with the unit values, the tens in line with the tens values, and so on.
 Begin with the digits in the one's column, and subtract the digits.
 Once the difference is obtained, the corresponding answer is written underneath.
 The same procedure is repeated for the digits at tens, hundreds, and thousands place.
4 Digit Subtraction Without Carrying
Subtraction without borrowing is also known as subtraction without regrouping. It refers to the cases when the minuend is bigger than the subtrahend. We can use the column method to subtract.
Let us look at an example and solve it along with the steps for a better understanding. Subtract 2719 from 3989.
The stepbystep procedure is given below.
 Step 1: Arrange the numbers according to their place value in a vertical manner.
 Step 2: Start subtracting the digits at one's place. Since the number at the top is higher than the number at the bottom, no regrouping/borrowing is required here. Subtract the numbers at the one's place and write the difference. (9  9 = 0)
 Step 3: Now, check for the same at the tens column and write the difference. (8  1 = 7).
 Step 4: Now, check for the same at the hundreds column and write the difference. (9  7 = 2).
 Step 5: Now, check for the same at the thousands column and write the difference. (3  2 = 1)
Hence, the difference is 1270.
4 Digit Subtraction With Carrying
Subtraction with borrowing is also known as subtraction with regrouping. When the digit at one's place in the top row is smaller than the digit in the bottom row, we use the regrouping method. While borrowing, we borrow 1 number from the preceding column to make the digit at one's place in the minuend bigger than the digit of the subtrahend. Let us look at an example, Subtract 3678 from 8162.
 Step 1: Arrange the numbers according to their place value. Start subtracting the digits at one's place. We can see that 8 is greater than 2. So, we will borrow 1 from the tens column which will make it 12. Now, 12  8 = 4 ones.
 Step 2: After giving 1 to the one's column in the previous step, 6 becomes 5. Now, let us subtract the digits at the tens place (5  7). Here, 7 is greater than 5, so we will borrow 1 from the hundreds column. This will make it 15. So,15  7 = 8 tens.
 Step 3: In step 2 we had given 1 to the tens column, so we have 0 at the hundreds place. Here, 6 is greater than 0, so we will borrow 1 from the thousands column. This will make it 10. So,10  6 = 4 hundreds.
 To subtract the digits on the hundreds place, i.e., (0  6) we will borrow 1 from the thousands column. This will make it 10. So, 10  6 = 4 hundreds.
 Step 4: Now, let us subtract the digits at the thousands place. After giving 1 to the hundreds column, we have 7. So, 7  3 = 4.
Therefore, the difference between the two given numbers is 8162  3678 = 4484.
Related Articles on 4 Digit Subtraction
Check out the following pages related to 4 digit addition
 Numbers upto 4Digits
 Place Value
 Indian Place Value Chart
 Subtraction with Complex Numbers
 Addition and Subtraction of Decimals
 Addition and Subtraction of Integers
 Subtraction With Regrouping
Important Notes on 4 Digit Subtraction
Here is a list of a few points that related to the concept of 4 digit subtraction.
 In subtraction, the smaller number is subtracted from the larger number.
 Always remember to arrange for a 4 digit column subtraction carefully as per the place value of the digits.
 In the case of regrouping/borrowing, as and when we borrow, we subtract the numbers simultaneously.
 When performing 4 digit subtraction, we use the column addition method.
Examples on 4 Digit Subtraction

Example 1: Perform the 4 digit subtraction for the given numbers: 4572 and 3127.
Solution:
Let's subtract 3127 from 4572.
 Step 1: Arrange the numbers according to their place value.
 Step 2: At one's place, 7 is greater than 2. So, we will borrow 1 from the tens column which will make it 12. Now, 12  7 = 5 ones.
 Step 2: After giving 1 to the one's column in the previous step, 7 becomes 6. Subtract the digits at the tens place. So, 6  2 = 4 tens.
 Step 3: Subtract the digits at the hundreds place. So, 5  1 = 4 hundreds.
 Step 4: Subtract the digits at the thousands place. So, 4  3 = 1 thousands.
Thus, the subtraction of the 4 digit numbers 4572 and 3127 results in the difference of 9763 and 1379 is 1445.

Example 2: Calculate the difference for the 4digit subtraction of the numbers, 9763 and 1379.
Solution:
Let's subtract 1379 from 9763.
 Step 1: Arrange the numbers according to their place value. Subtract the digits at one's place. 9 is greater than 3. So, we will borrow 1 from the tens column which will make it 13. Now, 13  9 = 4 ones.
 Step 2: After giving 1 to the one's column in the previous step, 6 becomes 5. 7 is greater than 5. So, we will borrow 1 from the hundreds column which will make it 15. Now, 15  7 = 8 tens.
 Step 3: In step 2 we had given 1 to the tens column, so we have 6 at the hundreds place. So,6  3 = 3 hundreds.
 Step 4: Subtract the digits at the thousands place. So, 9  1 = 8.
Thus, the difference for the 4digit subtraction of the numbers, 9763 and 1379 is 8384.
FAQs on 4 Digit Subtraction
What Is 4 Digit Subtraction in Math?
4 digit subtraction is the subtraction of numbers when the minuend is of 4 digits and subtrahend is either of 1, 2, or 3 digits. It requires splitting the numbers into columns using their respective place values, like ones, tens, hundreds, thousands, and so on.
What Is the Rule 4 Digit Subtraction of Numbers?
Firstly, write the digits of each number according to the place value of digits and secondly, the order of numbers matter as any subtraction sum follows the pattern as Minuend  Subtrahend = Difference. . Then follow the steps given below:
 Go through the numbers in the column from right to left, subtracting the numbers in each column together.
 Once the subtraction is done, the corresponding answer is written underneath.
 The same procedure needs to be repeated for all the place values until you reach thousands place.
What Is the Rule for 4 Digit Subtraction of Numbers with Regrouping?
Rules for 4 digit subtraction of numbers with regrouping:
 The digit at the top is smaller than the one at the bottom.
 1 borrowed from the tens column combines to the number at the one's place. The same procedure is repeated for each column.
Give an Example of 4 Digit Subtraction With Carrying.
Let's subtract 3110 from 4300.
 Step 1: Arrange the numbers according to their place value. Start subtracting the digits at ones place. We can see that the digits at the ones place are the same. So, 0  0 = 0 ones.
 Step 2: Moving at tens place, 1 is greater than 0. So, we will borrow 1 from the tens column which will make it 10. Now, 10  1 = 9 tens.
 Step 3: After giving 1 to the hundred's column in the previous step, 3 becomes 2. Now, let us subtract the digits at the hundreds place. So, 2  1 = 1 hundreds.
 Step 4: Now, let us subtract the digits at the thousands place. So, 4  3 = 1.
Thus, subtract 3110 from 4300, we get 1190.