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LunaCalc

Math

Scientific Notation Converter

Write finite numbers in scientific and engineering notation.

Calculator

About this calculator

This converter rewrites a finite decimal in scientific notation and engineering notation with a chosen number of significant figures.

Formula notes

Scientific form is coefficient x 10^exponent with the coefficient between 1 and 10; engineering form uses exponents that are multiples of 3.

Worked examples

  1. Example: 12,345 with 3 significant figures is 1.23 x 10^4 in scientific form and 12.3 x 10^3 in engineering form.
  2. 0.000456 with 2 significant figures becomes 4.6 x 10^-4 in scientific notation and 0.46 x 10^-3 in engineering notation.

How to use it

  1. Enter any finite decimal number.
  2. Set significant figures from 1 to 15.
  3. Read scientific notation, engineering notation, and the rounded decimal.

Frequently asked questions

How is zero represented?

Zero returns coefficient 0 and exponent 0 in both notation forms.

Why does 999.9 become 1 x 10^3 with 3 figures?

Rounding carry moves the coefficient to the next power of ten while preserving the requested significant figures.

Limits and interpretation

  • Results depend on the requested significant figures; trailing zeros and rounding policy change the displayed form.
  • Very large and very small values rely on JavaScript double-precision limits and may round at the extremes.

References