5.6
3
5.6
5.6
3
5,600
5.6
3
5.6
5.6
3
5,600
This Scientific Notation Calculator converts numbers between decimal and scientific notation instantly, and also provides engineering notation output. It’s built for U.S. students and STEM work: chemistry, physics, algebra, engineering, and test prep.
Bonus: You can multiply and divide numbers directly in scientific notation and get a normalized result.
Scientific notation writes a nonzero number as m × 10^e where the mantissa is typically normalized so that 1 ≤ |m| < 10. Engineering notation is similar, but the exponent is restricted to multiples of 3, which lines up with SI prefixes (kilo, mega, giga, etc.).
To convert a decimal to scientific notation, move the decimal point until one nonzero digit is left of the decimal. The number of moves becomes the exponent.
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Results
5600 = 5.6 × 10^3 (engineering exponent is also 3).
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Results
5.67×10^-5 = 0.0000567
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Results
(5.67×10^-5) × (2.34×10^2) = 1.32678×10^-2 (normalized).
Scientific notation is a way to write very large or very small numbers as m × 10^e, where e is an integer and the mantissa m is usually between 1 and 10 in absolute value.
Engineering notation is like scientific notation, but the exponent is restricted to multiples of 3 (…, -6, -3, 0, 3, 6, …), which aligns with SI prefixes like kilo (10^3) and mega (10^6).
E-notation is a compact way to write scientific notation where “×10^” is replaced by “E”. For example, 4.212×10^-4 becomes 4.212E-4.
Most differences come from normalization (whether mantissa is forced into 1–10) and rounding rules (sig figs). This calculator outputs normalized scientific notation and also shows engineering notation.
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