Free Online Scientific Notation Converter With E Notation
Convert a number between plain decimal, scientific notation, engineering notation and the E notation that calculators use. Significant figures are counted from the digits you actually typed, so a trailing zero that was measured is kept rather than discarded, and very large and very small numbers are written out in full.
The sum runs in your browser. Nothing you type is sent anywhere.
🔬 The number
Type it in any form: plain decimal, scientific with a times ten, or the E notation a calculator produces. All four forms come out together.
How the number was read and where the decimal point moved to.
| Step | With your number |
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| When | Calculation | Actions |
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Number formatting
Rounding only changes what you see. The sum itself always runs at full precision, so a rounded number never feeds into the next step.
Display
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History
Your data
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How to Write Scientific Notation
Three steps, and the third is about precision.
What to Know About Scientific Notation
Significant figures, engineering form and what the E means.
Key Features & Capabilities
What it does, and what it deliberately does not.
About Scientific Notation
Scientific notation writes a number as a single digit, a decimal part, and a power of ten. It exists because the alternative is unreadable: the speed of light as 299792458 metres per second is a row of digits nobody can take in, while 2.99792458 times ten to the eighth says immediately that it is around three hundred million. The power is the order of magnitude, and comparing two numbers by their powers first is how anyone working with a wide range of scales keeps track of them.
E notation is the same thing adapted for keyboards. Calculators and programming languages could not display a superscript, so 6.022e23 came to mean 6.022 times ten to the twenty third. The letter is purely a separator and has nothing to do with the mathematical constant e, which is an unfortunate collision but a harmless one in practice.
Engineering notation is a third form and a genuinely different one. It allows one, two or three digits before the point and requires the exponent to be a multiple of three, so that it matches the unit prefixes: kilo at ten to the third, mega at the sixth, giga at the ninth, and milli, micro and nano going the other way. A capacitor of 0.000000047 farads is 4.7 times ten to the minus eight in scientific notation, which tells you little, and 47 times ten to the minus nine in engineering notation, which reads straight off as 47 nanofarads.
The part that most converters get wrong is significant figures. The value 1.5 and the value 1.50 are numerically identical and scientifically different: the second asserts that the measurement was good to one more digit. If figures are counted by looking at the number, that trailing zero disappears and the claim about precision with it. So the count here is made from the characters you typed, which is the only way to preserve the distinction, and a trailing zero after the decimal point is counted as significant.
One practical note about writing numbers out in full. A browser refuses to do it past about ten to the twenty first, and below about a ten millionth, handing back E notation instead. Since the full form is one of the four outputs here, it is assembled from the digits and the exponent directly rather than being requested, which means it works at any magnitude the page accepts.
Frequently Asked Questions
Forms, figures, trailing zeros and very small numbers.