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#### Scientific Notation

### Calculator

Number

Scientific Notation: Number10^{n}

### Knowledge

#### Scientific Notation

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form.

Decimal Notation | Scientific Notation |
---|---|

600 | 610^{2} |

666.66 | 6.666610^{2} |

-6000 | -610^{3} |

0.0066 | 6.610^{-3} |

In scientific notation, nonzero numbers are written in the form:

Number10^{n}

#### Basic Operations

Given two number in scientific notation, multiplication and division are performed using the rules:

x_{1} = m_{1}10^{n1}

x_{2} = m_{2}10^{n2}

x_{1}x_{2} = m_{1}m_{2}10^{n1+n2}

*x _{1}*

*x*=

_{2}*m*

_{1}*m*10

_{2}^{n1-n2}

### Example

6.6710^{-6}9.6510^{8}
≈
64.410^{-6+8}
=
6.4410^{3}

*6.6710 ^{-6}*

*9.6510*≈ 0.6910

^{8}^{-6-8}= 6.910

^{-15}