Math Calculators
Scientific Notation Converter
Scientific notation represents a value as a mantissa multiplied by a power of ten. Enter an ordinary decimal or e notation to convert it into normalized form and see both the exponent and the expanded decimal. This is useful when a value contains many zeroes.
Calculator
Formula
For nonzero x, normalized scientific notation is x = m × 10ⁿ, where 1 ≤ |m| < 10 and n is an integer. The sign stays with m. Zero is represented separately as 0 × 10⁰. The converter parses ordinary decimal strings and e notation, then expands the finite number to a plain decimal string.
About This Calculator
What It Does
Scientific notation writes a number as a mantissa multiplied by a power of ten. This converter accepts ordinary decimals and e notation such as 6.022e23, then returns a normalized mantissa, an integer exponent and an expanded decimal. The mantissa has an absolute value from 1 up to but not including 10, except zero.
Worked Example
Enter 602200000000000000000000 or 6.022e23. Both represent the same number: 6.022 × 10²³, with mantissa 6.022 and exponent 23. The expanded decimal is 602200000000000000000000. Negative input keeps its minus sign in the mantissa; −0.004 becomes −4 × 10⁻³.
Real-World Usage
Scientific notation is useful when comparing very large counts or very small measurements, such as astronomical distances, particle sizes and laboratory readings. It makes scale visible without a long row of zeroes. The decimal output helps when a form requires ordinary notation, while the exponent form is easier to scan and compare.
Local Context
Scientific notation is mathematical and country-neutral. This page accepts a period or comma as the decimal mark and e notation with a signed integer exponent. The displayed decimal mark follows the selected language. Results use JavaScript finite-number precision; values beyond that precision may be rounded. Use decimal arithmetic when every digit must be exact.
Last reviewed: October 2026.
Frequently Asked Questions
What does normalized scientific notation mean?
The mantissa has an absolute value of at least 1 and less than 10; the scale is an integer power of ten.
How is zero represented?
Zero is shown separately as 0 × 10⁰ because it has no nonzero leading digit.
Can I enter a negative number?
Yes. The sign stays on the mantissa, so a value such as -6.022e23 is converted with its sign intact and comes back normalized in the same form.
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