Enter values and select Calculate.
Calculated result
How to use this calculator
- Choose conversion or an arithmetic operation.
- Enter ordinary decimal or e notation in the first field.
- For arithmetic, enter the second value.
- Review normalized notation, expanded decimal when practical, coefficient, and exponent.
Formula and method
Values are stored as an exact BigInt coefficient times a power of ten. Addition aligns powers; multiplication adds powers; division uses 15 controlled significant digits.
Worked example
1.2e3 × 3e2 becomes 3.6 × 10^5. Adding the same values gives 1.5 × 10^3, and 6e6 ÷ 2e2 gives 3 × 10^4.
Assumptions and limits
- Input supports up to 30 significant digits and exponents from −100,000 through 100,000.
- Addition and subtraction align up to 1,000 decimal places.
- Division rounds to 15 significant digits; conversion, addition, subtraction, and multiplication use exact decimal coefficients.
- The tool does not apply laboratory significant-figure rules.
Understanding the result
The result follows the displayed deterministic method. Exact-integer operations use BigInt where appropriate, and any controlled precision limit is stated before the related output can be interpreted.
Common mistakes
- Entering a free-form JavaScript expression
- Treating Infinity as a valid result
- Assuming division is exact for every rational value
- Claiming scientific significant-figure compliance without a separate policy
Methodology note
The calculator uses the arithmetic definitions shown on this page. It does not call an external calculator service, evaluate expressions, or infer unselected mathematical conventions.
This deterministic utility is a calculation aid. Confirm required notation, precision, and course or professional conventions separately.