Greater Than or Less Than Calculator

Compare two numbers and get the correct inequality symbol.

Comparison (−1 a<b, 0 equal, 1 a>b) -1
a − b -5

Formula: Compare a with b

Step-by-step with your numbers:
1. Values used:
2. First number = 7
3. Second number = 12
4.
5. Comparison (−1 a<b, 0 equal, 1 a>b) = -1
6. a − b = First number - Second number = 7 - 12 = -5
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Quickly determine which of two numbers is larger and by how much.

How the Math Works

The Greater Than or Less Than Calculator uses a fundamental comparison operation to evaluate two numerical values, a and b. The algorithm determines their relationship by checking if a is strictly greater than b, strictly less than b, or equal to b. When a > b, the output is the '>' symbol; when a < b, the output is the '<' symbol; and when both values are identical, the '=' symbol is returned. This comparison follows the standard ordering principles of real numbers, where numerical magnitude determines the inequality relationship.

Practical Applications

To use this calculator practically, simply enter your first number in the 'a' field and your second number in the 'b' field, then press the calculate button. The calculator will instantly return the correct inequality symbol between the two values. This tool is particularly useful when working with algebraic inequalities, verifying solutions to equations, comparing statistical data points, or checking the validity of mathematical statements in homework and professional work.

Day-to-Day Use

In everyday life, this calculator helps with quick comparisons without mental calculation errors. You might use it to determine which product offers better value by comparing unit prices, verify which salary offer is higher, check if your savings account balance meets your financial goals, or confirm that your business revenue exceeds expenses. It eliminates guesswork when comparing numerical data in shopping, budgeting, or making informed decisions based on numerical comparisons.

Worked example

7 and 12 → 7 < 12 (result −1), difference −5.

FAQ

How do I remember the symbol?

The wide open side of < or > always faces the larger number.