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Scientific Notation Converter

Convert any number to scientific notation m × 10^n — mantissa, exponent and E-notation, with the working shown.

Reviewed by the OmniCalc teamMethod verified 2026-07-01

Any decimal, large or small

Result

6.022 × 10^23

Scientific notation 6.022 × 10^23
Mantissa (m)
6.022
Exponent (n)
23
E-notation
6.022e+23
Number
6.022E23
Scientific notation (m × 10^n)
6.022 × 10^23
Show steps
  1. Exponent n = ⌊log₁₀|602,200,000,000,000,000,000,000|⌋ = 23.
  2. Mantissa m = 602,200,000,000,000,000,000,000 ÷ 10^23 = 6.022.
  3. Write as m × 10^n: 6.022 × 10^23.

How to use the scientific notation converter

  1. 1Enter a number — as large or small as you like, with or without decimals.
  2. 2Read the m × 10ⁿ form, plus the mantissa, exponent and E-notation beside it.
  3. 3Open Show steps to see how the exponent comes from the logarithm.

What the exponent tells you

The exponent n is just a count of how many places the decimal point moves. A positive exponent means a big number (the point shifts right); a negative one means a small number below one (the point shifts left). That is why you can compare the size of two numbers at a glance — the larger exponent always wins.

Frequently asked questions

What is scientific notation?

Scientific notation writes a number as a mantissa times a power of ten, m × 10ⁿ, where the mantissa m satisfies 1 ≤ |m| < 10. It keeps very large and very small numbers compact and readable — 602,200,000,000,000,000,000,000 becomes 6.022 × 10²³.

How is the exponent found?

The exponent n is the floor of the base-10 logarithm of the absolute value: n = ⌊log₁₀|x|⌋. The mantissa is then m = x ÷ 10ⁿ, which always lands in the range 1 ≤ |m| < 10. A number ten times larger raises the exponent by one.

What is E-notation?

E-notation is the plain-text form calculators and programming languages use, where 10ⁿ is written as “e” followed by the exponent. So 6.022 × 10²³ is 6.022e+23, and 4.2 × 10⁻⁴ is 4.2e-4. It means exactly the same thing.

How is zero handled?

Zero has no logarithm, so it is a special case: it is defined as 0 × 10⁰ and simply shown as 0. Every other finite number, positive or negative, has a well-defined mantissa and exponent.