4Digit Subtraction
4digit subtraction refers to the subtraction of numbers in which the minuend is of 4 digits and the subtrahend is either of 1, 2, or 3 digits. In 4digit subtraction, we subtract the numbers one by one according to their place values, that is, ones, tens, hundreds, and thousands. Let us learn about 4digit subtraction with regrouping and without regrouping in this page.
1.  What is 4Digit Subtraction? 
2.  4Digit Subtraction Without Regrouping 
3.  4Digit Subtraction With Regrouping 
4.  FAQs on 4Digit Subtraction 
What is 4Digit Subtraction?
4digit subtraction is the difference between a 4digit number and another 4digit number. Any number that is smaller than the 4digit number can also be subtracted from it. We know that the larger number should be placed up and the smaller one should be placed below it. The larger number on top is called the minuend and the smaller number written below is the subtrahend. The final result of the subtraction of two numbers is called their difference. Both the numbers are placed one below the other in their respective place value columns and then they are subtracted.
Steps for 4Digit Subtraction
For 4digit subtraction, we use the steps given below.
 Step 1: Write the numbers one underneath the other, with the minuend on top, and the subtrahend just below it.
 Step 2: The numbers need to be placed as per their place values of ones, tens, hundreds, and thousands.
 Step 3: Start subtracting the digits in the ones column, followed by the tens column, the hundreds column and the thousands column.
 Step 4: Once the difference is obtained, the corresponding answer is written underneath. This gives the difference between the two numbers.
4digit subtraction is done with regrouping and without regrouping. Let us learn both of them in the following section.
4Digit Subtraction Without Regrouping
4digit subtraction without regrouping means the numbers are subtracted without any borrowing. In such cases, all the digits in the minuend are bigger than the digits in the subtrahend. Let us understand this using an example.
Example: Subtract 2719 from 3989.
Solution: The 4digit subtraction can be done using the following steps.
 Step 1: Arrange the numbers according to their place value one below the other.
 Step 2: Start subtracting the digits in ones column. Since all the digits of the minuend are greater than the subtrahend, no regrouping/borrowing is required here. Subtract the numbers in ones column and write the difference. (9  9 = 0)
 Step 3: Then, subtract the numbers in tens column and write the difference. (8  1 = 7).
 Step 4: After this, subtract the numbers in the hundreds column and write the difference. (9  7 = 2).
 Step 5: Now, subtract the numbers in the thousands column and write the difference. (3  2 = 1)
Therefore, the difference between the numbers is 1270.
4Digit Subtraction with Regrouping
4digit subtraction with regrouping is also known as 4digit subtraction with borrowing. When any digit in the minuend (top row) is smaller than the corresponding digit in the subtrahend (bottom row), we regroup the numbers and then subtract. While regrouping, we borrow 1 number from the preceding column to make that particular digit in the minuend bigger than the corresponding digit of the subtrahend. Let us understand this with an example.
Example: Subtract 3678 from 8162.
 Step 1: Arrange the numbers according to their place value. Start subtracting the digits in ones column. We can see that 2 is smaller than 8. So, we will borrow 1 from the tens column which will make it 12. Now, 12  8 = 4.
 Step 2: After giving 1 to the ones column in the previous step, 6 becomes 5. Now, let us subtract the digits in the tens place (5  7). Here, 5 is smaller than 7. So, we will borrow 1 from the hundreds column. This will make it 15. So, 15  7 = 8.
 Step 3: In step 2 we had given 1 to the tens column, so we have 0 in hundreds place. Here, 0 is smaller than 6, so we will borrow 1 from the thousands column. This will make it 10. So, 10  6 = 4.
 Step 4: Now, let us subtract the digits in the thousands place. After giving 1 to the hundreds column, 8 becomes 7. So, 7  3 = 4.
Therefore, the difference between the two given numbers is, 8162  3678 = 4484.
Important Notes on 4Digit Subtraction
 Always remember to arrange the 4digit number as per the place value of the digits.
 In the case of regrouping/borrowing, as and when we borrow, we subtract the numbers simultaneously.
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Examples on 4Digit Subtraction

Example 1: Subtract the 4digit numbers: 4572  3127.
Solution:
Let us subtract 3127 from 4572.
 Step 1: Arrange the numbers according to their place value.
 Step 2: We start subtracting from the ones column. Since 2 is smaller than 7, we will borrow 1 from the tens column which will make it 12. Now, 12  7 = 5.
 Step 2: After giving 1 to the ones column in the previous step, 7 becomes 6. Now, subtract the digits in tens place. So, 6  2 = 4
 Step 3: Moving on, we subtract the digits in hundreds place. So, 5  1 = 4
 Step 4: Subtract the digits in thousands place. So, 4  3 = 1
Answer: Therefore, the difference between the given numbers is 1445.

Example 2: Calculate the difference between the 4digit numbers, 9763 and 1379.
Solution:
Let us subtract 1379 from 9763.
 Step 1: Arrange the numbers according to their place value. Subtract the digits in ones place. Since 3 is smaller than 9, we will borrow 1 from the tens column which will make it 13. Now, 13  9 = 4
 Step 2: After giving 1 to the ones column in the previous step, 6 becomes 5. Now, since 5 is smaller than 7, we will borrow 1 from the hundreds column which will make it 15. So, 15  7 = 8
 Step 3: In step 2 we had given 1 to the tens column, so we have 6 in the hundreds column. Now, 6  3 = 3
 Step 4: Subtract the digits in the thousands column. So, 9  1 = 8.
Answer: Therefore, the difference between 9763 and 1379 is 8384.

Example 3: State true or false with respect to 4digit subtraction.
a.) 2323  1001 = 1322
b.) 9999 1000 = 8888
Solution:
a.) True, 2323  1001 = 1322
b.) False, 9999 1000 = 8999
FAQs on 4Digit Subtraction
What is 4Digit Subtraction in Math?
4digit subtraction is the subtraction of numbers in which the minuend is of 4 digits and the subtrahend can be either of 1, 2, or 3 digits. We subtract the given numbers columnwise, starting from the ones column, followed by the tens column, the hundreds column, and the thousands column.
What is the Rule for 4Digit Subtraction of Numbers?
We use the following rules for 4digit subtraction.
 First of all, we place the two numbers one below the other keeping in mind their place value. The number on top is called the minuend and the number written below is the subtrahend.
 Then, we subtract the numbers starting from the ones column, followed by the tens column, the hundreds column and then the thousands column.
How to do 4Digit Subtraction of Numbers with Regrouping?
4digit subtraction of numbers with regrouping is done in those cases when any digit in the minuend is smaller than the respective subtrahend. We start subtracting the digits in the ones column, followed by the tens column, the hundreds column, and finally the thousands column. In case a digit in the minuend is smaller than its corresponding subtrahend, we borrow 1 from the preceding column, and combine it with this particular minuend so that it becomes larger than its subtrahend. Then we continue the subtraction keeping in mind that the number that had given 1 to the next column will get reduced by 1.
Give an Example of 4Digit Subtraction with Regrouping.
Let us understand 4digit subtraction with the help of the following example. Subtract 3246  2184.
 Step 1: Start subtracting the digits in ones place. Here, 6  4 = 2
 Step 2: Then, we move on to the tens column. We can see that 4 is smaller than 8. So, we will borrow 1 from the hundreds column, which will make it 14. Now, 14  8 = 6.
 Step 3: We move on to the hundreds column. In step 2 we had given 1 to the tens column, so the 2 in hundreds place becomes 1. Now, 1  1 = 0.
 Step 4: Finally, in the thousands column, we have 3  2 = 1. Therefore, after subtracting 2184 from 3246, we get 1062.
How to Do 4Digit Subtraction Without Regrouping?
4digit subtraction without regrouping refers to the cases when all the digits in the minuend are greater than the corresponding digits in the subtrahend. In such cases, we do not need to borrow any number and the subtraction can be done normally.
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