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Scientific Notation

Tool to write numbers in scientific notation/form and conversely to write numbers in scientific notation with all their digits.

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Scientific Notation -

Tag(s) : Mathematics

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Scientific Notation

Number to Scientific Notation Converter


Automatic Format

Spécific Format








Decimal writing from scientific notation

$$ a \times 10^b \qquad \underbrace{1.234}_{a} \cdot 10{\underbrace{^5}_{b}} \qquad \underbrace{3.456}_{a} e \underbrace{7}_{b} $$



See also: Powers of 10

Answers to Questions (FAQ)

How to write a number in scientific notation?

Any number written in decimal can be written in the form $ a \times 10^n $ (a number multiplied by a power of 10), called scientific notation.

By default, the value $ a $ is a relative integer (integer or decimal) such as $ 1 \leq a < 10 $

$ a $ is called the mantissa and $ n $ is called the exponent.

This notation has the advantage of getting rid of the integer part and the decimal part of numbers and standardizes their format in order to be able to easily compare them, especially in terms of order of magnitude, indeed scientific notation displays directly in the exponent the number of digits before or after the decimal point, which is useful for very large or very small numbers.

Example: $$ 123 = 1.23 \times 10^2 \\ -456000 = -4.56 \times 10^5 \\ 0.000789 = 7.89 \times 10^{-4} $$

How to write a number in decimal notation?

From a number in scientific form writing, decimal writing consists of shifting the comma according to the value of the exponent: a negative exponent shifts the decimal to the left, a positive exponent to the right.

Example: Rewriting the number $ N = 1.234 \times 10^2 $ in decimal form is to take $ 1.234 $ and shift the comma by $ 2 $ to the right, so $ N = 123.4 $

Example: Rewriting the number $ N = 1.234 \times 10^{-1} $ in decimal form is to take $ 1.234 $ and shift the comma by $ 1 $ to the left, so $ N = 0.1234 $

What is the calculator scientific notation?

On calculators, the exponent symbol is sometimes noted e or E.

Example: 1.23e+4 is read $ 1.23 \times 10^4 $

Example: 5.678E09 is read $ 5.678 \times 10^9 $

Source code

dCode retains ownership of the online 'Scientific Notation' tool source code. Except explicit open source licence (indicated CC / Creative Commons / free), any 'Scientific Notation' algorithm, applet or snippet (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or any 'Scientific Notation' function (calculate, convert, solve, decrypt / encrypt, decipher / cipher, decode / encode, translate) written in any informatic language (Python, Java, PHP, C#, Javascript, Matlab, etc.) and no data download, script, copy-paste, or API access for 'Scientific Notation' will be for free, same for offline use on PC, tablet, iPhone or Android ! dCode is free and online.

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Thanks to your feedback and relevant comments, dCode has developed the best 'Scientific Notation' tool, so feel free to write! Thank you!


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