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## What is Scientific Format?

Scientific Format

Scientific Format is way of representing numbers in a very simple form and especially useful when representing very small or very large numbers. Also called as Standard Form.

It is written as a product of any number between 1 and 10 to the 10

^{th}power.Examples of Scientific Notation Form

- 1.25x10
^{3} - 4x10
^{7} - 456.89x10
^{-12}

- 1.25x10

## What is Metric Format?

Metric Format

Metric Format use the metric system Prefixes to express quantities in an understandable and precise way (K/kilo,H/hecta, N/Nano and so on..).

Each metric is arranged in order of 10 times the previous one. Like centi is 10 times milli and so on...

They are used to scale the base units making it easier to represent small or large values.

Metric Prefixes

- exa
- tera
- mega
- exa
- femto
- pico

## What is Exponent Format?

Exponent Format

Exponent Format is method of representing number using base and indices.

The power of /indice represents the number of times the number is multiplied by itself .

Examples of Exponent Form

- 10e+2
- 5e+6
- 5e+9

## Steps to Convert Number to Scientific Format

Step 1: First place or move the decimal point of a number until the coefficient of the number is greater than 1 and less than 10

Eg:Convert number 9,800,00 to Scientific Notation Place a decimal 9,800,00 by counting the steps to the left until the coefficient of the number is between 1 and 9.

Step 2: Record down the coefficient (a) and count the number of steps the decimal point was moved

In this Example, the coefficient is 9.8 and the 6 steps are moved 6.

Step 3: The number of steps moved (n) is taken as the exponent.

Multiply the coefficient by 10

^{6}.Step 4: Moving the decimal point to the right gives a negative exponent, whereas moving the decimal point to the left makes a positive exponent

Final answer is 9.8 x 10

^{6}

## Steps to Convert Scientific Format to Real Number

Step 1: Figure out the exponent in the power of 10

Let's convert 4.9x10

^{5}into Real number Here exponent is 5Step 2: If the exponent is positive, move the decimal that many places to the right .

Here exponent is positive, therefore move the decimal 5 spaces to the right.

Step 3: Else if the exponent is negative, move the decimal that many places to the left.

Step 4: Fill the Empty places with zeros and so it becomes 490000

Real number for 4.9x10

^{5}is 4,900,00

## Steps to Convert Scientific Format to Metrics Format

Step 1: First convert it into a real number and then add metric suffix to them based on the values.

Step 2: Add prefixes to real numbers based on the value exponent value.

10

^{0}=1(Basic),10^{1}=10(da),10^{2}=100(h),10^{-1}=0.1(d)Metric Format for 4.9x10

^{5}is 490 k(kilo)

## Steps to Convert Scientific Format to Exponent Format

Step 1: Simple way of converting to Exponent format

Example:Convert 4.9x10

^{5}into Real number Here exponent is 5Step 2: Replace the (10^) by (e+)

Exponent Format for 4.9x10

^{5}is 4.9e+5

## Scientifc Notation to Metrics Format Reference

Number | Scientific Format | E-Format | Metrics | Symbol | Name |
---|---|---|---|---|---|

0.000000000000000001 | 1 x 10^-18 | 1e-18 | 0.000000000000000001 | a | Atto |

0.000000000000001 | 1 x 10^-15 | 1e-15 | 0.000000000000001 | f | femto |

0.00000000001 | 1 x 10^-11 | 1e-11 | 0.00000000001 | p | Pico |

0.0000000001 | 1 x 10^-10 | 1e-10 | 0.0000000001 | p | Pico |

0.000000001 | 1 x 10^-9 | 1e-9 | 0.000000001 | n | Nano |

0.00000001 | 1 x 10^-8 | 1e-8 | 0.00000001 | n | Nano |

0.0000001 | 1 x 10^-7 | 1e-7 | 0.0000001 | n | Nano |

0.000001 | 1 x 10^-6 | 1e-6 | 0.000001 | Micro | Micro |

0.00001 | 1 x 10^-5 | 1e-5 | 0.00001 | Micro | Micro |

0.0001 | 1 x 10^-4 | 1e-4 | 0.0001 | Micro | Micro |

0.001 | 1 x 10^-3 | 1e-3 | 0.001 | m | milli |

0.01 | 1 x 10^-2 | 1e-2 | 0.01 | c | Centi |

0.1 | 1 x 10^-1 | 1e-1 | 0.1 | d | deci |

1 | 1 x 10^0 | 1e+0 | 1 | Basic | Basic |

10 | 1 x 10^1 | 1e+1 | 10 | da | deca |

100 | 1 x 10^2 | 1e+2 | 100 | h | Hecto |

1000 | 1 x 10^3 | 1e+3 | 1000 | k | Kilo |

1000000 | 1 x 10^6 | 1e+6 | 10000 | M | Mega |

100000000 | 1 x 10^8 | 1e+8 | 100000000 | M | Mega |

1000000000 | 1 x 10^9 | 1e+9 | 1000000000 | G | Giga |

## Frequently Asked Questions on Scientific Notation

Scientific Format is method of representing numbers in concise short form.

It is also called as Standard Format.

1.25x10

^{3}4x10

^{7}456.89x10

^{-12}

Exponent and Scientific notation represent very large number in simple format.

They differ in the way of representing

Scientific notation is expressed as 10 ^ base value whereas Exponent format is expressed as e+(-)base value.

Speed of the light is 3.0 x 10^8 m/s