This scientific notation converter rewrites any number in scientific notation (m × 10ⁿ), E-notation and ordinary standard form — in both directions.



Scientific notation –
E-notation –
Standard form –
Order of magnitude –

One Digit, a Decimal, and a Power of Ten

The powers themselves are our Exponent Calculator‘s territory. Part of our Math Calculators collection.

Worked Examples (Verified)

  • 0.000456 (default) = 4.56 × 10⁻⁴ — the decimal point hops 4 places right to sit after the 4
  • 7,230,000 = 7.23 × 10⁶ — six hops left; big numbers earn positive exponents, small numbers negative ones
  • Avogadro’s number 6.022 × 10²³ in standard form needs 24 digits; the notation exists because chemists got tired — every ×10ⁿ is a compression algorithm for zeros

Notation Rules

  • The mantissa lives in [1, 10): 45.6 × 10³ is a number, but it’s not scientific notation until it’s 4.56 × 10⁴.
  • Move the point left → exponent grows (÷10 becomes ×10¹); move it right → exponent shrinks.
  • E-notation (4.56e-4) is the same object typed for computers and calculators — the “e” literally reads “× 10^”.
  • Significant figures ride along: 4.560 × 10⁻⁴ claims four sig figs, 4.56 × 10⁻⁴ claims three — trailing zeros in the mantissa are information.

Related Tools

Frequently Asked Questions

How do you convert a number to scientific notation?

Move the decimal point until one non-zero digit sits left of it; the mantissa is what remains, and the exponent counts the moves — positive if the original was ≥ 10 (moves left), negative if it was < 1 (moves right). Example: 0.000456 → 4.56 × 10⁻⁴. This converter does it instantly, both directions.

What is E-notation?

The keyboard-friendly form: 4.56e-4 means 4.56 × 10⁻⁴. Spreadsheets, programming languages and calculator displays all speak it; converting is pure relabeling, no math changes.

How do you convert scientific notation back to standard form?

Move the decimal point by the exponent: right for positive (7.23 × 10⁶ → 7,230,000), left for negative, padding with zeros. A ×10⁰ mantissa is already standard (5.2 × 10⁰ = 5.2).

What is the order of magnitude?

The exponent itself: 4.56 × 10⁻⁴ is “of order 10⁻⁴”. Comparing orders of magnitude ignores mantissas entirely — the fastest estimation habit in science (a proton at 10⁻¹⁵ m vs a cell at 10⁻⁵ m: ten orders apart).

Why must the mantissa be between 1 and 10?

Convention, for uniqueness: without it, 0.000456 could be written 45.6 × 10⁻⁶ or 0.456 × 10⁻³ and comparisons get muddy. Pinning the mantissa to [1, 10) makes the exponent alone carry the size — that’s the system’s whole point.

Is this scientific notation converter free?

Yes — free, instant, no sign-up.