Math

Scientific Notation Calculator

Switch numbers into scientific notation or back to standard form, with mantissa and exponent displayed separately.

scientific notationmantissaexponent
Scientific Notation

Convert between standard numbers and normalized scientific notation.

Standard form
0.000456
Mantissa
4.56
Exponent
-4
Scientific notation
4.56 × 10^-4

Scientific form

N = m × 10ᵉ

The mantissa m is between 1 and 10 (absolute value), and exponent e is an integer. The calculator normalizes inputs automatically.

How to use

  1. Enter a standard number or mantissa/exponent pair.
  2. Use the toggle to choose the conversion direction.
  3. Copy the normalized mantissa, exponent, and full representation shown below.

Example

Input: Standard number = 0.000456

Output: Scientific notation = 4.56 × 10⁻⁴

FAQ & notes

Does it support very large numbers?

Yes—values up to 1e308 are handled using JavaScript’s floating-point range before being normalized.

Can I keep more than three mantissa digits?

Use the precision control to expand or trim mantissa digits as needed for lab reports or homework.