Convert scientific notation into standard form. The converter converts E scientific notation to numbers and numbers to scientific notation. Scientific notation is useful for writing a number in a more simplified way. On the other hand, if we want to put data in databases, scientific notation may not be the best solution. Usually we need the full number then.
It does not matter if the number entered is in scientific notation or it is a standard notation. The converter will perform the calculations for both forms.
What is scientific notation?
In various fields of science, we often deal with a lot of large or very small sizes. In such cases, the use of real numbers takes up unnecessarily large amounts of space in the computer’s memory and can cause counting problems for the scientist. Scientific notation was created in order to facilitate the use of numbers.
Example: The distance from Earth to the Sun is 1 AU, which is 150,000,000,000 m. Using scientific notation, we can simply write this value as 1.5 x 1011 m.
So, in scientific notation, the exponent of the power of 10 means “order of magnitude”. For example, 5 orders of magnitude would be 105 = 100000. However, such a record is called exponential form. Conversely, converting from exponential to scientific notation is very simple.
Example: 107 from exponential to scientific notation is: 1E7. But 4.3 x 10-5 is 4.3E-5 in scientific notation
Convert E scientific notation into standard form
The meaning of the letter E in scientific notation is exponent. Scientific notation is used interchangeably to write a decimal of a non-zero real number. The principle of its operation is to place a decimal point after the first significant digit (this applies to the number 0).
| E Scientific notation | Scientific notation (exponential form) | Standard form |
| 1E0 | 1 x 10^0 | 1 |
| 2E1 | 2 x 10^1 | 20 |
| 3E2 | 3 x 10^2 | 300 |
| 4E3 | 4 x 10^3 | 4000 |
| 5E4 | 5 x 10^4 | 50000 |
| 6E-1 | 6 x 10^-1 | 0.6 |
| 7e-2 | 7 x 10^-2 | 0.07 |
| 8E-3 | 8 x 10^-3 | 0.008 |
| 10E-4 | 1 x 10^-3 | 0.001 |
| 1.5E5 | 1.5 x 10^5 | 150000 |
| 2.5E-6 | 2.5 x 10^-6 | 0.0000025 |
| 3.55E7 | 3.55 x 10^7 | 35500000 |
| 4.55E-8 | 4.55 x 10^-8 | 0.0000000455 |
| 5.5E5 | 5.5 x 10^5 | 550000 |
| 6.5E-6 | 6.5 x 10^-6 | 0.0000065 |
| 7.55E-7 | 7.55 x 10^-7 | 0.000000755 |
| 8.55E8 | 8.55 x 10^8 | 855000000 |
Engineering notation
Engineering notation is similar to exponential notation, it does not use e in its notation. When using this notation, the main rule should be followed when talking about the appropriate notation of the exponent. In engineering notation, the exponent must be a multiple of 3. This notation is designed to make the SI prefix easier to recognize.
Example: 5 x 104 in scientific notation equals 50 x 103 in engineering notation. In turn, 7.47 x 10-4 in scientific notation is 747 x 10-6 in engineering notation.
Scientific notation in large numbers
Large numbers are used in cosmology, astrophysics, astronomy and geophysics. Telescopes, satellites and spotting scopes are often used to measure them. These are the distances called peta, exa, zetta, or yotta.
| Name prefix | Factor | Name |
| yotta | 1024 | Septillion |
| zetta | 1021 | Sextillion |
| exa | 1018 | Quintillion |
| peta | 1015 | Quadrillion |
| tera | 1012 | Trillion |
| giga | 109 | Billion |
| mega | 106 | Million |
| kilo | 103 | Thousand |
| hecto | 102 | Hundred |
| deka | 101 | Ten |
By using SI prefixes, written information is understandable and effective, regardless of the language used (source). The quantity is combined with the unit symbol, thanks to which we know what order of magnitude the given record represents.
Scientific notation in small numbers
The use of small numbers is characteristic of physique particle physics, nuclear physics, solid state physics or chemistry-biology. On the other hand, popular tools for their study are hadron crushers or a microscope. We refer to these units as atoo, zepto, or yocto.
| deci | 10-1 | Tenth |
| centi | 10-2 | Hundredth |
| milli | 10-3 | Thousandth |
| micro | 10-6 | Millionth |
| nano | 10-9 | Billionth |
| pico | 10-12 | Trillionth |
| femto | 10-15 | Quadrillionth |
| atto | 10-18 | Quintillionth |
| zepto | 10-21 | Sextillionth |
| yocto | 10-24 | Septillionth |