Standard Form Converter

Decimal ↔ Scientific notation

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About Standard Form Converter

A standard form (scientific notation) converter. Convert between decimal and a×10ⁿ format. Shows significant figures, engineering notation (powers of 3), and order of magnitude. Handles very large and very small numbers. All calculations are client-side. Essential for science, engineering, and physics.

Standard Form Converter Features

  • Sci notation
  • Eng notation
  • Sig figs
  • Order of mag
  • Bidirectional
Standard form: a × 10ⁿ where 1 ≤ |a| < 10. Engineering notation: a × 10ⁿ where n is a multiple of 3. Examples: 0.00045 = 4.5×10⁻⁴, 6780000 = 6.78×10⁶. Significant figures count the meaningful digits in a measurement.

How to Use

Enter any number:

  • Input: Decimal number
  • Output: Scientific & engineering notation
  • Extra: Significant figures

Conversion Rules

  • Move decimal until 1 ≤ |a| < 10
  • Count places moved = n (exponent)
  • Right = negative n, Left = positive n

Significant Figures

Non-zero digits are always significant. Zeros between non-zero digits are significant. Leading zeros are not significant. Trailing zeros after decimal are significant.

Step-by-Step Instructions

  1. 1Enter a number.
  2. 2View scientific notation.
  3. 3Check engineering notation.
  4. 4Count significant figures.
  5. 5Compare order of magnitude.

Standard Form Converter — Frequently Asked Questions

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

Scientific: exponent can be any integer (4.5×10⁻⁴). Engineering: exponent is always a multiple of 3 (450×10⁻⁶ or 0.45×10⁻³). Engineering aligns with SI prefixes (kilo, mega, micro, nano).

How do I count significant figures?+

All non-zero digits are significant. Zeros between non-zero digits are significant. Leading zeros are not. Trailing zeros after a decimal point are significant. Example: 0.00340 has 3 sig figs.

Why use standard form?+

Makes very large/small numbers manageable: speed of light = 3×10⁸ m/s vs 300,000,000. Also clarifies precision: 5.00×10³ (3 sig figs) vs 5000 (ambiguous).

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