Scientific Notation Calculator
Instantly convert standard decimal numbers to scientific notation (E-notation) and vice versa, with clear step-by-step breakdowns.
Convert Number Formats
Select your conversion direction and enter a value to instantly translate between standard decimal numbers and scientific notation.
Notation Converter
Supports standard decimals and E-notation (e.g., 3.14e8).
How it Works
Rules of scientific notation
Find the Decimal
Locate the decimal point in your number. If it’s a whole number, the decimal is implicitly at the end.
Shift the Decimal
Move the decimal point until you have a number between 1 and 10 (this is your coefficient ‘a’).
Count the Moves
The number of places you moved the decimal becomes the exponent ‘n’. Left moves are positive, right moves are negative.
Format the Result
Write the final answer in the format a × 10^n, or use E-notation (aEn) for calculators and programming.
Common Powers of 10
A quick reference table for common scientific notation values and their corresponding SI metric prefixes.
| Scientific Notation | E-Notation | Standard Decimal | SI Prefix |
|---|---|---|---|
| 10¹² | 1e12 | 1,000,000,000,000 | Tera (T) |
| 10⁹ | 1e9 | 1,000,000,000 | Giga (G) |
| 10⁶ | 1e6 | 1,000,000 | Mega (M) |
| 10³ | 1e3 | 1,000 | Kilo (k) |
| 10⁰ | 1e0 | 1 | None |
| 10⁻³ | 1e-3 | 0.001 | Milli (m) |
| 10⁻⁶ | 1e-6 | 0.000001 | Micro (µ) |
| 10⁻⁹ | 1e-9 | 0.000000001 | Nano (n) |
Scientific Notation FAQ
Answers to the most frequently asked questions about converting and understanding scientific notation.
Scientific notation is a way of expressing numbers that are too big or too small to be conveniently written in decimal form. It is written as a × 10^n, where ‘a’ is a number between 1 and 10 (the coefficient), and ‘n’ is an integer (the exponent).
To convert a number, move the decimal point until you have a number between 1 and 10. Count the number of places you moved the decimal; this becomes the exponent ‘n’. If you moved it to the left, ‘n’ is positive. If you moved it to the right, ‘n’ is negative.
They represent the exact same value. Scientific notation uses the format a × 10^n (e.g., 3.0 × 10^8), while E-notation replaces ‘× 10^’ with the letter ‘E’ or ‘e’ (e.g., 3.0e8). E-notation is primarily used in calculators, spreadsheets, and programming languages.
It simplifies calculations involving extremely large or small numbers, reduces the chance of errors from miscounting zeros, and clearly indicates the number of significant figures in a measurement, which is crucial for scientific accuracy.