Scientific Notation Converter

Convert to & from scientific notation

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About Scientific Notation Converter

A bidirectional scientific notation converter. Enter a number in standard form to see it in scientific notation (a × 10ⁿ), or enter scientific notation to get the expanded number. Also shows engineering notation (exponents in multiples of 3), E-notation for programming, significant figures count, and order of magnitude. Handles very large and very small numbers with arbitrary precision. Essential for scientists, engineers, students, and anyone working with extreme numeric ranges.

Scientific Notation Converter Features

  • Standard ↔ scientific
  • Engineering notation
  • E-notation output
  • Sig fig count
  • Order of magnitude
Scientific notation expresses numbers as a coefficient between 1 and 10 multiplied by a power of 10. It makes very large numbers (6.022 × 10²³) and very small numbers (1.6 × 10⁻¹⁹) manageable. This converter handles bidirectional conversion with engineering notation and programming E-notation variants.

How to Use

Enter any number:

  • Standard → Scientific: Type 0.00045 → 4.5 × 10⁻⁴
  • Scientific → Standard: Type 4.5e-4 → 0.00045
  • Engineering: Shows exponents in multiples of 3 (kilo, mega, etc.)

Scientific Notation Format

The standard form is a × 10ⁿ where 1 ≤ |a| < 10. In programming, this is written as aEn (e.g., 4.5E-4). Engineering notation restricts n to multiples of 3, aligning with SI prefixes.

SI Prefix Reference

  • 10³ = kilo (k), 10⁶ = mega (M), 10⁹ = giga (G), 10¹² = tera (T)
  • 10⁻³ = milli (m), 10⁻⁶ = micro (μ), 10⁻⁹ = nano (n), 10⁻¹² = pico (p)

Step-by-Step Instructions

  1. 1Enter a number in standard form or E-notation.
  2. 2View the scientific notation representation.
  3. 3Check engineering notation with SI prefix.
  4. 4Note the significant figures count.
  5. 5Copy any format with one click.

Scientific Notation Converter — Frequently Asked Questions

What's the difference between scientific and engineering notation?+

Scientific notation uses any integer exponent (4.5 × 10⁻⁴). Engineering notation restricts exponents to multiples of 3 (450 × 10⁻⁶), which aligns with SI prefixes like micro, milli, kilo, mega.

How do I write scientific notation in code?+

Most languages use E-notation: 4.5e-4 or 4.5E-4 (equivalent to 4.5 × 10⁻⁴). JavaScript, Python, C, Java, and most others support this syntax directly in numeric literals.

What are significant figures?+

Significant figures are the meaningful digits in a number. In 0.00450, there are 3 sig figs (4, 5, 0). Leading zeros are not significant, but trailing zeros after the decimal point are.

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