How this scientific notation converter works
Scientific notation expresses a number as a coefficient multiplied by a power of ten: a × 10n. The coefficient is normalised so that exactly one non-zero digit sits to the left of the decimal point, meaning its absolute value is at least 1 but less than 10. The exponent records how many places the decimal point was shifted to reach that form.
To go from a standard number to scientific notation, you slide the decimal point until one non-zero digit remains in front of it. Moving the point left (for large numbers) gives a positive exponent; moving it right (for small numbers below 1) gives a negative exponent. To go the other way, you shift the point back by the size of the exponent to rebuild the plain decimal.
Reference note: this tool parses input as a JavaScript number, so results carry roughly 15–17 significant digits of precision. Extremely large integers or very long decimals may be rounded at that boundary; for exact arbitrary-precision arithmetic use a dedicated bignum tool.
Frequently asked questions
- What is scientific notation?
- Scientific notation writes a number as a × 10^n, where the coefficient a has an absolute value of at least 1 but less than 10, and n is an integer exponent. For example 4500 becomes 4.5 × 10^3. It is a compact way to express very large or very small numbers.
- How do I convert a number to scientific notation?
- Move the decimal point so that exactly one non-zero digit remains to the left of it, giving a coefficient between 1 and 10. The number of places you moved the point becomes the exponent: positive if you moved left, negative if you moved right. For 0.00045 you move the point four places right, so it becomes 4.5 × 10^-4.
- What is E notation?
- E notation is the way calculators and computers write scientific notation, replacing × 10^ with the letter e. So 1.23 × 10^4 is shown as 1.23e4, and 4.5 × 10^-4 is shown as 4.5e-4. The digit after the e is the exponent.
- What is engineering notation?
- Engineering notation is a variant of scientific notation where the exponent is always a multiple of 3, so the coefficient sits between 1 and 1000. This lines up with metric prefixes such as kilo, mega and milli. For example 12300 is 12.3 × 10^3 in engineering notation rather than 1.23 × 10^4.
- How do negative exponents work?
- A negative exponent means the number is less than 1. The value 10^-n equals 1 divided by 10^n, so 4.5 × 10^-4 equals 4.5 divided by 10000, which is 0.00045. The more negative the exponent, the smaller the number.
- Why use scientific notation?
- Scientific notation keeps very large and very small numbers short and readable, makes the number of significant figures explicit, and simplifies multiplication and division because you can add or subtract exponents. It is standard in science, engineering and on calculators.