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Foundations of Physics

Scientific Notation

A standardized method of expressing very large or very small numbers in the format a × 10ⁿ, where 1 ≤ |a| < 10 and n is an integer.

Governing formula a × 10^n
SI unit Dimensionless

In depth

Scientific notation eliminates ambiguity regarding trailing zeros and makes calculations with extreme numerical values manageable in scientific computation.

Examples in the real world

Expressing the speed of light as 3.00 × 10⁸ m/s instead of 300,000,000 m/s, or electron mass as 9.11 × 10⁻³¹ kg.