Exponential Notation Calculator (Scientific Notation Converter)
Convert any decimal number to scientific notation (a × 10^n), engineering notation, and E notation. Choose how many significant figures to keep for clean, readable results used in science and engineering.
How does this calculator work?
Scientific notation writes x as a × 10^n where 1 ≤ |a| < 10 and n = ⌊log₁₀|x|⌋. Enter any non-zero decimal and choose significant figures to get scientific, engineering and E notation representations, plus the exponent's position on the powers-of-10 scale.
Formula
How this is calculated
Scientific notation expresses any non-zero number as a product of a coefficient a (where 1 ≤ |a| < 10) and a power of 10. The exponent n is the floor of the base-10 logarithm of the absolute value: n = ⌊log₁₀|x|⌋. The coefficient is then x / 10^n. For example, 0.000456 has n = −4 and coefficient ≈ 4.56, giving 4.56 × 10^−4.
Engineering notation is a variant where the exponent is always a multiple of 3 (matching the SI prefix scale: kilo 10^3, mega 10^6, micro 10^−6, etc.), so the coefficient may be anywhere in [1, 1000). E notation is the computer-science shorthand: 4.56e-4 instead of 4.56 × 10^−4.
The significant-figures control rounds the coefficient so the result reflects the actual precision of the measurement. One significant figure gives a rough order-of-magnitude estimate; three is typical for most lab measurements; up to 15 is supported (the limit of IEEE 754 double precision). The calculator uses standard IEEE 754 arithmetic, so numbers very close to a power-of-10 boundary may round to the next exponent.
Frequently asked questions
Scientific notation is used to write very large or very small numbers compactly. Avogadro's number (6.022 × 10²³), the charge on an electron (1.6 × 10⁻¹⁹ C), and distances in astronomy are all too unwieldy in standard decimal form. It also makes the number of significant figures explicit.
Engineering notation restricts the exponent to multiples of 3 (0, ±3, ±6, ±9, …) so the coefficient lies in [1, 1000). This aligns with SI prefixes: kilo (10³), mega (10⁶), milli (10⁻³), micro (10⁻⁶). For example, 0.000056 Ω is 56 × 10⁻⁶ Ω = 56 µΩ in engineering notation vs 5.6 × 10⁻⁵ in scientific.
E notation is the computer/calculator shorthand for scientific notation: the "e" replaces "× 10^". So 4.56e-4 means 4.56 × 10⁻⁴ = 0.000456. It is widely used in programming languages, spreadsheets, and calculators because it fits on a single line without special characters.
Also known as
TG we-Calculate Editorial Team. (2026). Exponential Notation Calculator (Scientific Notation Converter) [Online calculator]. TG we-Calculate. https://we-calculate.com/calculator/exponential-notation-calculator
TG we-Calculate Editorial Team. "Exponential Notation Calculator (Scientific Notation Converter)." TG we-Calculate. 2026. https://we-calculate.com/calculator/exponential-notation-calculator.
TG we-Calculate Editorial Team, "Exponential Notation Calculator (Scientific Notation Converter)," TG we-Calculate, 2026. [Online]. Available: https://we-calculate.com/calculator/exponential-notation-calculator
@misc{wecalculate_exponential_notation_calculator, title = {Exponential Notation Calculator (Scientific Notation Converter)}, author = {{TG we-Calculate Editorial Team}}, howpublished = {\url{https://we-calculate.com/calculator/exponential-notation-calculator}}, year = {2026}, note = {TG we-Calculate} }
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