Last updated on August 30, 2025
The mathematical operation of finding the difference between two numbers is known as subtraction. It is a fundamental arithmetic operation that helps solve problems involving quantities, measurements, and various calculations.
Subtraction involves taking one number away from another.
The number from which another number is subtracted is called the minuend, and the number being subtracted is called the subtrahend.
The result is called the difference. Subtraction is one of the basic operations in arithmetic and is used to determine how much remains when a quantity is decreased by another.
When subtracting two numbers, follow these steps:
Align the numbers: Write the numbers with the larger number (minuend) on top and the smaller number (subtrahend) below it, aligning the digits by place value.
Subtract: Begin subtracting from the rightmost digit (units) and move towards the left, borrowing from the next column if needed.
Simplify the result: Once you subtract all the digits, the remaining number is the difference.
There are different methods to subtract two numbers:
Method 1: Standard Algorithm
Step 1: Align the numbers vertically by place value.
Step 2: Subtract each column, starting from the rightmost digit. Borrow from the next column if necessary.
Step 3: Write down the result in each column to find the difference.
For example, Subtract 48 from 123: 123 - 48 ------ 75
Method 2: Mental Math
Use mental strategies to subtract numbers, such as breaking numbers into smaller, more manageable parts or using known subtraction facts.
Subtraction has several key properties:
Subtraction is not commutative The order of numbers matters in subtraction, i.e., a - b ≠ b - a.
Subtraction is not associative Changing the grouping of numbers changes the result in subtraction, i.e., (a - b) - c ≠ a - (b - c).
Subtracting zero leaves the number unchanged a - 0 = a Subtracting a number from itself gives zero a - a = 0
Here are some tips to make subtraction easier:
Tip 1: Always line up numbers by their place values to avoid mistakes.
Tip 2: Double-check your borrowing to ensure accuracy.
Tip 3: Use estimation to check if your answer is reasonable.
When the top digit is smaller than the bottom digit, remember to borrow from the next column to the left before subtracting.
Align the numbers and subtract: 523 -256 ----- 267
Subtract 89 from 372
283
Align the numbers and subtract: 372 - 89 ----- 283
Subtract 47 from 105
58
Align the numbers and subtract: 105 - 47 ----- 58
Subtract 134 from 256
122
Align the numbers and subtract: 256 -134 ----- 122
Subtract 68 from 150
82
Subtraction can sometimes be tricky, leading to common mistakes. Understanding these errors can help avoid them.
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.
: She loves to read number jokes and games.