Greater Than Or Less Than Calculator
Compare two numbers and determine their relationship with detailed explanations
Compare Two Numbers
Can be positive, negative, or decimal
Can be positive, negative, or decimal
Example Comparisons
Comparison Symbols
Greater Than
Left number is larger
Less Than
Left number is smaller
Equal To
Numbers are identical
Greater or Equal
Left ≥ right
Less or Equal
Left ≤ right
Comparison Rules
Same Sign Numbers
Compare their absolute values
Different Signs
Positive is always greater than negative
Negative Numbers
Closer to zero means greater
Number Line
Right is greater than left
Quick Tips
The opening of > and < always points to the greater number
For negative numbers, -1 > -5 because -1 is closer to zero
Zero is greater than any negative number
Decimal places matter: 0.1 > 0.01
Understanding Number Comparison
What is Number Comparison?
Number comparison is the process of determining the relationship between two numbers. We can determine if one number is greater than, less than, or equal to another number using mathematical symbols and logical reasoning.
Why is it Important?
- •Foundation for mathematical reasoning and problem-solving
- •Essential for understanding inequalities and equations
- •Used in programming and computer science logic
- •Helpful in everyday decision-making and analysis
Comparison Steps
- Check if both numbers have the same sign (positive/negative)
- If different signs: positive number is always greater
- If same positive signs: compare absolute values directly
- If same negative signs: the one closer to zero is greater
- If identical: numbers are equal
Memory Aid
Remember the "Alligator Mouth":
The open mouth of the symbol (> or <) always "eats" or points toward the larger number. Think of it as a hungry alligator that always wants to eat the bigger meal!
Common Applications
📊 Statistics
Comparing data points, finding maximum and minimum values
💻 Programming
Conditional statements, loops, and decision-making logic
🏦 Finance
Comparing prices, profits, losses, and financial metrics