# Scientific Notation Converter

### Standard Notation Converter:

It converts scientific notation numbers to E-notation, engineering notation, & decimal notation format. Here you can convert any number to standard form, e-notation, and engineering form easily. You can provide any format as input it generates result in all other formats.

## About Notations :

Notations are used to represent a complex form of numbers to a simple format. Notations are used in science, engineering and many other fields. We can write a very large number or a small number in a simple and convenient manner by using notations. There are three different types of notations are there namely.

Scientific notation or standard notation.

Engineering notation.

E-notation.

## Scientific Notations :

Scientific notations are also called "Standard notations". We can write any number in the form of "M*10n". Here we have two parts magnitude and exponent (power of 10). The magnitude value is varied in between 1 < |m| < 10 & "n" value is varied based on magnitude value.

Magnitude value must in between 1 to 10 so to make it we have to move decimal point value from left digit to right then the exponent is positive. If a decimal point moves from right digit to the left then the exponent is negative.

Example1:

Converter 500000 number to scientific notation?

We know 100000 = 10^{5} then

500000 = 5x10^{5}.

Answer:

500000 is converted as scientific notation 5x10^{5}.

Example2:

0.0024000 convert to scientific notation?

We know 0.0024000 = 2.400x10^{-3}

0.0024000 = 2.400x10^{-3}.

Answer:

0.002400 is converted as scientific notation 2.400x10^{-3}.

## Engineering Notation :

It is identical as standard notation except magnitude (m) range. For engineering notations range must be in 1 < |m| < 1000. It is used in engineering calculators.

Example:

Convert 547600000000 to prefix gaga notation?

1000000000 = 10^{9} then

547600000000 = 345.6 × 10^{9}.

## E – Notations :

E-notations are same as standard notations but instead of powers of 10, we use "e" to represent the number. It is also called exponential notations.
Example:

Convert 800000 to E-notation?

We know 100000 = 10^{5} then

800000 = 8 x 10^{5}.

8 x 10^{5} = 8e5.

Answer:

800000 are converted as E notation 8e5.

### How to operate scientific notation converter?

To operate our converter you need to follow below steps.

Step1:

Open Scientific notation converter

Step2:

Enter the number you want to convert.

Step3:

Hit calculate to get the result.

## Examples of scientific notation

10000 = 1 x 10^{4} | 24327 = 2.4327 x 10^{4} |

1000 = 1 x 10^{3} | 7354 = 7.354 x 10^{3} |

100 = 1 x 10^{2} | 482 = 4.82 x 10^{2} |

10 = 1 x 10^{1} | 89 = 8.9 x 10^{1} (not usually done) |

1 = 10^{0} | |

1/10 = 0.1 = 1 x 10^{-1} | 0.32 = 3.2 x 10^{-1} (not usually done) |

1/100 = 0.01 = 1 x 10^{-2} | 0.053 = 5.3 x 10^{-2} |

1/1000 = 0.001 = 1 x 10^{-3} | 0.0078 = 7.8 x 10^{-3} |

1/10000 = 0.0001 = 1 x 10^{-4} | 0.00044 = 4.4 x 10^{-4} |

## Powers of Ten

Powers of Ten |

billions10 ^{9} = 1,000,000,00010 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 = 1,000,000,000 |

millions10 ^{6} = 1,000,00010 x 10 x 10 x 10 x 10 x 10 = 1,000,000 |

hundred thousands10 ^{5} = 100,00010 x 10 x 10 x 10 x 10 = 100,000 |

ten thousands10 ^{4} = 10,00010 x 10 x 10 x 10 = 10,000 |

thousands10 ^{3} = 1,00010 x 10 x 10 = 1,000 |

hundreds10 ^{2} = 10010 x 10 = 100 |

tens10 ^{1} = 10 |

ones10 ^{0} = 1 |

tenths10 ^{–1} = 1/101/10 = 0.1 |

hundredths10 ^{–2} = 1/10^{2}1/10 ^{2} = 0.01 |

thousandths10 ^{–3} = 1/10^{3}1/10 ^{3} = 0.001 |

ten thousandths10 ^{–4} = 1/10^{4}1/10 ^{4} = 0.0001 |

hundred thousandths10 ^{–5} = 1/10^{5}1/10 ^{5} = 0.00001 |

millionths10 ^{–6} = 1/10^{6}1/10 ^{6} = 0.000001 |

billionths10 ^{–9} = 1/10^{9}1/10 ^{9} = 0.000000001 |

The table below includes metric values and their titles in scientific notation

Metric Prefix | Symbol | Multiplier (Traditional Notation) | Exponential | Description |
---|---|---|---|---|

Yotta | Y | 1,000,000,000,000,000,000,000,000 | 10^{24} | Septillion |

Zetta | Z | 1,000,000,000,000,000,000,000 | 10^{21} | Sextillion |

Exa | E | 1,000,000,000,000,000,000 | 10^{19} | Quintillion |

Peta | P | 1,000,000,000,000,000 | 10^{15} | Quadrillion |

Tera | T | 1,000,000,000,000 | 10^{12} | Trillion |

Giga | G | 1,000,000,000 | 10^{9} | Billion |

Mega | M | 1,000,000 | 10^{6} | Million |

kilo | k | 1,000 | 10^{3} | Thousand |

hecto | h | 100 | 10^{2} | Hundred |

deca | da | 10 | 10^{1} | Ten |

base | b | 1 | 10 | One |

deci | d | 1/10 | 10^{-1} | Tenth |

cent' | c | 1/100 | 10^{-2} | Hundredth |

milli | m | 1/1,000 | 10^{-3} | Thousandth |

micro | P | 1/1,000,000 | 10^{-6} | Millionth |

nano | n | 1/1,000,000,000 | 10^{-9} | Billionth |

pico | p | 1/1,000,000,000,000 | 10^{-12} | Trillionth |

femto | f | 1/1,000,000,000,000,000 | 10^{-15} | Quadrillionth |

atto | a | 1/1,000,000,000,000,000,000 | 10^{-18} | Quintillionth |

zepto | z | 1/1,000,000,000,000,000,000,000 | 10^{-21} | Sextillionth |

yocto | y | 1/1,000,000,000,000,000,000,000,000 | 10^{-24} | Septillionth |