Scientific Notation Converter
Convert a number to and from scientific notation.
Result
1.235 × 10^6
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Formula
x = a × 10^n, where 1 ≤ |a| < 10Scientific Notation Converter
Scientific notation expresses numbers as a product of a mantissa (between 1 and 10) and a power of 10. It is commonly used for very large or very small numbers in science and engineering.
Common Use Cases
Scientific notation is indispensable in physics, astronomy, chemistry, and engineering when dealing with very large numbers (like the speed of light: 3 × 10⁸ m/s) or very small numbers (like the mass of an electron: 9.1 × 10⁻³¹ kg). It's also the standard way calculators and computers display numbers too large or small for standard notation.
Tips for Accurate Results
- The mantissa (the number before × 10^n) should always be between 1 and 10 (or -1 and -10 for negative numbers).
- When multiplying numbers in scientific notation, multiply the mantissas and add the exponents. When dividing, divide the mantissas and subtract the exponents.
- E-notation (e.g., 1.23e6) is equivalent to scientific notation and is commonly used in programming.
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