4-Digit Subtraction Without Borrowing

Introduction to 4-digit Subtraction

In mathematics, subtraction is a mathematical operator which is used for calculating the difference between two numbers. 4-digit 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 4-digit subtraction, we subtract the numbers one by one according to their place values, that is, ones, tens, hundreds, and thousands. Here we will discuss 4-digit subtraction without borrowing and solved examples on subtraction without regrouping. So let's get started.

4-digit Subtraction

What is 4-digit Subtraction?

4-digit subtraction is the difference between a 4-digit number and another 4-digit number. Any number that is smaller than the 4-digit 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.

4-Digit Subtraction Without Borrowing

4-digit 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.

Ans:The 4-digit 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 one column. Since all the digits of the minuend are greater than the subtrahend, no regrouping/borrowing is required here. Subtract the numbers in one column and write the difference. (9 - 9 = 0)

Step 3: Then, subtract the numbers in the 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)

4 digit subtraction without regrouping

Subtract 2719 from 3989

Therefore, the difference between the numbers is 1270.

Solved Examples on Subtraction Without Regrouping

Q1. Subtract 3518 from 7689.

Ans: The 4-digit 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 - 8 = 0)

Step 3: Then, subtract the numbers in the tens column and write the difference. (8 - 1 = 7).

Step 4: After this, subtract the numbers in the hundreds column and write the difference. (6 - 5 = 1).

Step 5: Now, subtract the numbers in the thousands column and write the difference. (7 - 3 = 4)

4 digit subtraction without regrouping

Subtract 3518 from 7689

Therefore, the difference between the numbers is 4171. 

Q2. Subtract 1502 from 9999.

Ans: The 4-digit 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 - 2 = 7)

Step 3: Then, subtract the numbers in the tens column and write the difference. (9 - 0 = 9).

Step 4: After this, subtract the numbers in the hundreds column and write the difference. (9 - 5 = 4).

Step 5: Now, subtract the numbers in the thousands column and write the difference. (9 - 1 = 8)

4 digit subtraction without regrouping

Subtract 1502 from 9999

Therefore, the difference between the numbers is 8497. 

Practice Problems

Q1. Subtract 1111 from 9999.

Ans: 8888

Q2. Subtract 3256 from 8768.

Ans: 5512

Q3. Subtract 7896 from 9897.

Ans: 2001

Summary

In the above topic, we have learnt the concept of subtraction and also how subtraction without regrouping and borrowing is done. We have seen here to calculate the difference between the numbers using the number line. Also, we solved examples on subtraction without regrouping. Hope this article will enhance your concept of 4-digit subtraction without borrowing. To be more perfect in subtraction solve the above-given practice problems. Addition and subtraction are very useful in our day-to-day life. Hope you enjoyed reading the article.