# Worksheet: SI Unit Multiples and Submultiples

In this worksheet, we will practice converting from a unit with a given SI prefix to the same unit with a different SI prefix.

**Q1: **

A person in good physical condition can provide W of useful electrical power by doing mechanical work, neglecting any problems of generator efficiency and practical considerations such as resting time.

How many people would it take to run an electric clothes dryer of power 4.00 kW?

How many people would it take to replace a large electric power plant that generates 800 MW?

- A
- B
- C
- D
- E

**Q4: **

The density of nuclear matter is about
kg/m^{3}. Given that 1 mL
is equal in volume to 1 cm^{3},
what is the density of nuclear matter in megagrams per microliter?

Prefix | Symbol | Meaning | Prefix | Symbol | Meaning |
---|---|---|---|---|---|

yotta- | Y | 10^{24} | yocto- | y | 10^{−24} |

zetta- | Z | 10^{21} | zepto- | z | 10^{−21} |

exa- | E | 10^{18} | atto- | a | 10^{−18} |

peta- | P | 10^{15} | femto- | f | 10^{−15} |

tera- | T | 10^{12} | pico- | p | 10^{−12} |

giga- | G | 10^{9} | nano- | n | 10^{−9} |

mega- | M | 10^{6} | micro- | μ | 10^{−6} |

kilo- | k | 10^{3} | milli- | m | 10^{−3} |

hecto- | h | 10^{2} | centi- | c | 10^{−2} |

deka- | da | 10^{1} | deci- | d | 10^{−1} |

- A Mg/µL
- B Mg/µL
- C Mg/µL
- D Mg/µL
- E Mg/µL

**Q5: **

Intensities to which the ear can respond, from the threshold of hearing to the intensity which causes damage after even brief exposure, differ by a factor of . If you could measure distances over the same range of values with a single instrument and the smallest distance that the instrument could measure was 1 mm, what would be the largest distance that the instrument could measure?

- A km
- B10 m
- C km
- D1 km
- E km