About

Scientific and engineering contexts often require comparing values across vastly different scales, such as sub-atomic distances (1e-15) versus astronomical distances (1e20). Standard calculators fail when inputs exceed typical integer limits or involve complex expressions mixed with scientific notation.

This tool evaluates mathematical expressions on the fly before comparison. It handles standard operators (+, −, ×, ÷), grouping symbols, and scientific E-notation. It is particularly useful for students checking inequality homework or developers verifying boundary conditions in logic.

Formulas

The tool uses a parsing engine to evaluate the left hand side (LHS) and right hand side (RHS). The logic follows the trichotomy property of real numbers:

{

LHS > RHSLHS < RHSLHS = RHS

Reference Data

Expression A	Expression B	Result	Note
5.2e9	5200000000	=	Notation conversion
\|-100\|	99	>	Absolute value logic
2^10	1000	>	1024 vs 1000
1÷3	0.33	>	Precision check
-10	-5	<	Negative logic
1e-5	0	>	Small positive vs zero
100*0	0	=	Zero property
π	3.14	>	Constant precision

Frequently Asked Questions

Use the caret symbol (^). For example, 2^3 represents 2 cubed (8). You can also use "e" notation for powers of 10, such as 1.5e6.

Yes. You can use "PI" or "E" in your expressions. For example, comparing "PI" vs "3.14" will correctly show that PI is greater.

This tool saves state. It allows you to see both sides of the equation simultaneously and keeps a history of your comparisons, which is vital for debugging code logic or verifying a series of math problems.

The tool uses JavaScript's double-precision floating-point format. While safe for values up to approximately 1.8e308, precision may degrade for integers larger than 2^53 (9 quadrillion).