Scientific Notation Calculator
Convert numbers to and from scientific notation. Enter a coefficient and exponent, or a plain number.
Full Value
602,200,000,000,000,100,000,000.0000
Formule
## Scientific Notation ### Format **a × 10^n** where 1 ≤ |a| < 10 ### Purpose Scientific notation expresses very large or very small numbers compactly. For example: - Speed of light: 3 × 10⁸ m/s - Avogadro's number: 6.022 × 10²³ - Electron mass: 9.109 × 10⁻³¹ kg ### Converting to Scientific Notation 1. Move the decimal point until you have a number between 1 and 10 2. Count how many places you moved the decimal 3. Moving left = positive exponent, moving right = negative exponent
Exemple Résolu
Express Avogadro's number: 6.022 × 10²³.
- 016.022 × 10²³
- 02= 602,200,000,000,000,000,000,000
- 03log₁₀ ≈ 23.7798
Questions Fréquentes
What is scientific notation?
Scientific notation expresses numbers as a coefficient between 1 and 10 multiplied by a power of 10. It makes very large or small numbers easier to work with.
How do you multiply numbers in scientific notation?
Multiply the coefficients and add the exponents. For example, (2 × 10³) × (3 × 10⁴) = 6 × 10⁷.
What is engineering notation?
Engineering notation is similar but uses powers of 10 that are multiples of 3 (10³, 10⁶, 10⁹, etc.), aligning with SI prefixes like kilo, mega, giga.
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