Scientific Notation Converter
Translate astronomical and subatomic values into standard scientific, engineering, E-notation, and SI metric unit forms.
Accepts formats: 123000, 0.00045, 1.23e8, or 1.23 * 10^8.
Powers of Ten: Scientific vs. Engineering Notation
Scientific Notation (Standard Form)
In standard scientific notation m × 10ⁿ, the mantissa (or significand) m is constrained so that 1 ≤ |m| < 10.
The exponent n represents the order of magnitude. For example, the speed of light is 299,792,458 m/s = 2.998 × 10⁸ m/s.
Engineering Notation & SI Prefixes
Engineering notation requires exponents to be multiples of 3 (10³, 10⁶, 10⁻⁹), keeping the mantissa between 1 and 999.
This maps directly to standard International System of Units (SI) prefixes like kilo (k), mega (M), micro (µ), and nano (n). For instance, 47,000 Hz = 47 × 10³ Hz = 47 kHz.
E-Notation in Computing
Because early computer terminals and spreadsheet cells lacked superscript formatting, “E” or “e” was adopted to denote “times ten to the power of.”
6.022e+23 denotes 6.022 × 10²³, and 1.6e-19 denotes 1.6 × 10⁻¹⁹.