Skip to main content
Book Consultation →
Number tools100% FreeInstant

Scientific Notation Converter: Standard Form and E-Notation

This free converter writes any number in scientific notation (a × 10^n), engineering notation and E-notation, and turns notation like 4.5e-3 back into a plain decimal.

By Debmedia Technologies LLP · Kolkata, India · Updated

What Is It and When Do You Need It?

Scientific notation is a short way to write very large or very small numbers. The speed of light, the mass of an electron and the national debt are easier to read as a × 10^n. Calculators and programming languages use the matching E-notation.

Type a number in any of these forms and the tool shows the others side by side.

How to Use This Tool

  1. Type a number such as 0.00045, 91,000,000 or 6.02 x 10^23.
  2. Press Calculate.
  3. Copy the form you need from the table.

How the Calculation Works

To find the scientific form, move the decimal point until one non-zero digit stands before it. The number of places moved is the exponent: positive when you moved left, negative when you moved right. Engineering notation rounds the exponent down to a multiple of three.

Numbers are held as standard double-precision values, so about 15 significant digits are exact.

Worked Example

0.00045 becomes 4.5 × 10^−4, or 4.5e-4 in E-notation, and 450 × 10^−6 in engineering notation. 91,000,000 becomes 9.1 × 10^7 and 91 × 10^6 in engineering form.

Common Uses

  • Physics and chemistry homework.
  • Reading code and spreadsheet output.
  • Quoting very small or very large measurements.
  • Matching SI prefixes such as micro and giga.

Tips and Common Mistakes

  • Keep the significant digits you actually measured, no more.
  • Negative exponents mean a number smaller than 1.
  • Zero has no scientific form other than 0 × 10^0.

Next, you may need the rounding calculator, exponent and root calculator, logarithm calculator, percent error calculator.

Everything runs in your browser. Nothing you type is uploaded, stored or sent to any outside service.

Frequently Asked Questions

It writes a number as a × 10^n, where a is between 1 and 10 and n is a whole number. For example, 123,000 is 1.23 × 10^5.
E-notation is the plain-text form used by calculators and code: 1.23e5 means 1.23 × 10^5.
It is like scientific notation, but the power of ten is always a multiple of three, matching units such as kilo, mega and milli. 12,300 becomes 12.3 × 10^3.
Yes. The tool understands x, × and * before the 10, and ^ for the power, as well as e or E.

Disclaimer: results are calculated in your browser from the numbers you enter. Check important results before you rely on them for money, health, safety or legal decisions.