Subtraction of Whole Numbers
2026-02-28 17:59 Diff
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Last updated on September 1, 2025

The mathematical operation of finding the difference between two whole numbers is known as the subtraction of whole numbers. It helps simplify calculations and solve problems involving arithmetic operations with whole numbers.

What is Subtraction of Whole Numbers?

Subtracting whole numbers involves taking one number away from another.

It requires understanding the concept of borrowing if the number being subtracted is larger than the number it is subtracted from.

Whole numbers are non-negative integers, including numbers like 0, 1, 2, 3, etc.

How to do Subtraction of Whole Numbers?

When subtracting whole numbers, students should follow these steps:

Borrowing: If the minuend (the number from which you subtract) is smaller than the subtrahend (the number being subtracted) in any digit, borrow from the next higher digit.

Align digits: Write numbers so that corresponding place values are aligned vertically.

Calculate difference: Subtract each digit of the subtrahend from the corresponding digit of the minuend, starting from the rightmost digit.

Methods to do Subtraction of Whole Numbers

The following are the methods of subtraction of whole numbers:

Method 1: Standard Algorithm

To use the standard algorithm for subtraction, follow these steps:

Step 1: Align the numbers by their place values.

Step 2: Subtract each column starting from the right. Borrow from the next column if necessary.

Step 3: Write down the difference.

Example: Subtract 253 from 684: 684 - 253 ------- 431

Method 2: Mental Math

For simple subtractions, you can use mental math: Break down numbers into parts that are easier to subtract and then combine the results.

Example: Subtract 25 from 47: 47 - 20 = 27 27 - 5 = 22

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Properties of Subtraction of Whole Numbers

Subtraction of whole numbers has distinct properties:

Subtraction is not commutative Changing the order of numbers changes the result, i.e., A - B ≠ B - A.

Subtraction is not associative We cannot regroup in subtraction.

Changing the grouping of numbers changes the result. (A - B) - C ≠ A - (B - C)

Subtraction is the addition of the opposite sign Subtracting a number is the same as adding its negative: A - B = A + (-B).

Subtracting zero leaves the number unchanged Subtracting zero from any number results in the same number: A - 0 = A.

Tips and Tricks for Subtraction of Whole Numbers

These tips can help students efficiently subtract whole numbers:

Tip 1: Always start subtracting from the rightmost digit.

Tip 2: Use mental math for subtracting smaller numbers or to check your work.

Tip 3: Practice borrowing by using real-world examples like money subtraction to understand the concept better.

Forgetting to borrow

Students often forget to borrow when the digit in the minuend is smaller than the subtrahend. Always remember to adjust for borrowing before subtracting.

Problem 1

Using the standard algorithm: 28 - 15 ------ 13

Okay, lets begin

Subtract 123 from 456

Well explained 👍

Problem 2

Using the standard algorithm: 456 - 123 ------ 333

Okay, lets begin

Subtract 8 from 20

Well explained 👍

Problem 3

Using mental math: 20 - 8 = 12

Okay, lets begin

Subtract 67 from 89

Well explained 👍

Problem 4

Using the standard algorithm: 89 - 67 ------ 22

Okay, lets begin

Subtract 9 from 15

Well explained 👍

Yes, as long as the minuend is greater than or equal to the subtrahend.

1.Is subtraction commutative for whole numbers?

No, changing the order of numbers changes the result in subtraction.

2.What happens if you subtract zero from a number?

Subtracting zero from a number leaves it unchanged.

3.What is borrowing in subtraction?

Borrowing is when you take one unit from the next higher place value to make subtraction possible when a digit in the minuend is smaller than the corresponding digit in the subtrahend.

4.What methods are used for subtraction of whole numbers?

The standard algorithm and mental math are commonly used methods for subtracting whole numbers.

Common Mistakes and How to Avoid Them in Subtraction of Whole Numbers

Subtraction can sometimes be tricky, leading to common mistakes. However, being aware of these errors can help students avoid them.

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Hiralee Lalitkumar Makwana

About the Author

Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.

Fun Fact

: She loves to read number jokes and games.