2- Use scientific notation.

The scientific notation is used to simplify writing very small or very large numbers. For example,

154,000,000,000 can be written in scientific notation as 1.54 × 10^{11}
.

0.000 000 095 can be expressed in scientific notation as 9.5
× 10^{-8}.

Question
4: Suppose
you have a very large box. Its length is 2.0×10^{4
}m, its width is ^{ }3.0×10^{3
}m and its height is 1.0×10^{4
}m. What is the volume of this box? If the box has a mass of
3.0×10^{12
}kg what is its mass density?

For convenience, symbols are used to replace certain power of 10. The most common ones are listed below

Factor | Prefixes | Symbol | Example |

10^{9} |
giga- | G | 3.5×10^{9}^{
}W
= 3.5 GW |

10^{6} |
mega- | M | 5.4×10^{6 }W = 3.5 MW |

10^{3} |
kilo- | k | 6.5×10^{3 }W = 6.5 kW |

10^{-3} |
milli- | m | 1.5×10^{-3
}W = 3.5 mW |

10^{-6} |
micro- | m | 2.0×10^{-6 }W = 2.0 mW |

10^{-9} |
nano- | n | 1.2×10^{-9 }W = 1.2 nW |

10^{-12} |
Pico- | p | 4.2×10^{-12 }W = 4.2 pW |