Comparing numbers sounds simple until negatives and decimals are involved: −0.5 is greater than −2, and 0.45 is less than 0.5. The calculator applies the number-line rule – the number further to the right is greater.
How to use the Greater Than or Less Than Calculator
- First number (a)
- Second number (b)
Results update as you type, and everything is calculated in your browser.
How it works
The difference a − b decides the result: positive means a is greater, negative means b is greater, zero means they are equal.
Inputs explained
| Field | What to enter |
|---|---|
| First number (a) | A number |
| Second number (b) | A number |
What each result means
- Difference a − b = [First number (a)] – [Second number (b)]
- The larger number = max([First number (a)], [Second number (b)])
Formula
a > b if a − b > 0; a < b if a − b < 0; a = b otherwise
Worked example
Inputs — First number (a): -0.5; Second number (b): -2.
Results — Comparison = a > b (a is greater); Difference a − b = 1.5; The larger number = -0.5.
Key terms
- Inequality symbols
- > greater than, < less than, = equal to.
Frequently asked questions
Which is greater, −3 or −7?
−3, because it is further right on the number line.
How do I remember > and <?
The wide end opens towards the larger number.
Is 0.5 greater than 0.45?
Yes – compare 0.50 with 0.45.
How do I compare fractions?
Convert them to decimals or to a common denominator – see the comparing fractions calculator.