Enter any number (standard, scientific, or E notation) and instantly see every format.
Scientific notation expresses numbers as a coefficient between 1 and 10 multiplied by a power of 10. It makes very large and very small numbers manageable. The speed of light is 299,792,458 m/s, which is 2.998 x 10^8. The mass of a hydrogen atom is 0.00000000000000000000000000167 kg, which is 1.67 x 10^(-27). Without scientific notation, working with these numbers would be impractical.
Enter a number in standard decimal notation and the calculator converts it to scientific notation, or enter a number in scientific notation (coefficient and exponent) and it converts to standard form. The calculator also handles arithmetic operations (addition, subtraction, multiplication, division) between numbers in scientific notation.
Multiplication: Multiply the coefficients and add the exponents. (3 x 10^4) x (2 x 10^3) = 6 x 10^7. Division: Divide the coefficients and subtract the exponents. (6 x 10^8) / (2 x 10^3) = 3 x 10^5. Addition/Subtraction: Adjust so both numbers have the same exponent, then add/subtract the coefficients. The Exponent Calculator handles the power-of-10 computations.
Scientific notation makes extreme numbers manageable. The national debt is approximately $3.6 x 10^13. The distance to the nearest star (Proxima Centauri) is 4 x 10^13 kilometers. A human cell contains about 6 x 10^9 base pairs of DNA. The mass of an electron is 9.109 x 10^-31 kilograms. In computing, storage capacities use related concepts: a terabyte is 10^12 bytes, and modern data centers store exabytes (10^18 bytes). Engineering notation is a variant that restricts exponents to multiples of 3, aligning with metric prefixes (kilo, mega, giga, tera). Standard form (UK) and scientific notation (US) refer to the same representation but the terminology differs by region.