Scientific Notation Calculator & Converter
Convert standard numbers to scientific notation (a × 10ᵇ), engineering notation, and E-notation format.
Scientific Notation — interactive calculator, computed instantly in your browser.
Scientific & Engineering Notation: Floating-Point Formats & Exponent Shifts
Anatomy of a Number in Scientific Notation: a × 10ᵇ
Key Structure: The mantissa (a) is always normalized between 1 and 10, multiplied by 10 raised to an integer power representing the decimal shift.
Scientific notation is a standardized numerical format used by scientists, astrophysicists, and engineers to express very large or very small real numbers without writing cumbersome strings of leading or trailing zeros.
1. Scientific vs. Engineering Notation Comparison
| Format | Coefficient Rule | Exponent Rule | Example (0.00045) |
|---|---|---|---|
| Scientific Notation | $1 \le |a| < 10$ | Any integer (positive/negative) | $4.5 \times 10^{-4}$ |
| Engineering Notation | $1 \le |a| < 1000$ | Must be a multiple of 3 (kilo, mega, micro) | $450 \times 10^{-6}$ ($450\,\mu$) |
| E-Notation (Computer) | $1 \le |a| < 10$ | Uses 'e' or 'E' character | 4.5e-4 |
🔗 Scientific & Numerical Scale Tools
Scientific notation streamlines handling astronomically large or microscopic numbers in physics, chemistry, and engineering. Explore our full ➗ Math & Science Hub.
Evaluate powers and exponents or calculate physical metric conversions with the cross-references below.
Frequently Asked Questions (Scientific Notation)
Multiply the coefficients (mantissas) directly and add the exponents: (a × 10^b) × (c × 10^d) = (a × c) × 10^(b + d).
A negative exponent indicates a value between 0 and 1 (a fraction). For example, 10^-3 = 1 / 10^3 = 1 / 1000 = 0.001.