## Metric units

The conventional metric unit of length is the ** meter ** , i m sorry is a bit longer than 3 feet.

(The specific length of a meter is characterized by the international Bureau that Weights and Measures together the size of the path travelled by irradiate in vacuum during a really short interval of time, specific 1 299972458 that a second. Don"t worry, friend will most likely never need to remember this!)

indigenous the meter, we gain the rest of the metric devices using the typical metric prefixes.

nanometer(nm) | 1 1 , 000 , 000 , 000 the a meter |

micrometer(um) | 1 1 , 000 , 000 of a meter |

millimeter(mm) | 1 1000 the a meter |

centimeter(cm) | 1 100 that a meter |

decimeter(dm) | 1 10 that a meter |

meter(m) | 1 meter |

dekameter(dam) | 10 meters |

hectometer(hm) | 100 meter |

kilometer(km) | 1000 meters |

Megameter(Mm) | 1,000,000 meters |

Gigameter(Gm) | 1,000,000,000 meter |

Terameter(Tm) | 1,000,000,000,000 meter |

Metric rulers room usually have actually centimeters numbered, with smaller sized marks presented for millimeters.

The pencil in the number has a length of 3.4 centimeters, or 34 millimeters.

## U.S. Customary units

The system for measuring size in the customary device is based upon the inch, foot, yard, and also mile.

1 foot ( ft ) = 12 inches ( in . ) 1 garden ( yd ) = 3 feet 1 mile (mi) = 5,280 feet

Lengths smaller than 1 inch space usually written using fractions of one inch. ~ above a U.S. Customary foot ruler, the customs is usually split into halves, quarters, eighths, and sixteenths by progressively smaller markings.

In the figure shown, the pencil is 2 5 16 customs long.

** To convert ** indigenous one unit come another, we can use unit analysis . Because that instance, if you desire to find the number of inches in 3 miles, you deserve to multiply the amount 3 miles by the portion 5280 feet / 1 mile and then by the portion 12 inches / 1 foot.

1 mile = 5 , 280 feet 1 foot = 12 inches 12 inch × 5 , 280 feet = 63 , 360 inches in 1 mile

To find the number of inches in 3 miles:

3 × 5280 feet 1 mile × 12 1 foot = 190080 inch

(Both these fractions room equal to 1 , therefore you"re not changing the original quantity once you multiply.)

** Note: **

(a) To transform from larger units to smaller units, main point by the ideal unit ratio.

(b) To transform from smaller sized units to larger units, multiply by the mutual of the proper unit ratio.

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(c) multiply or splitting by a unit proportion is mathematically tantamount to making use of a relationship come convert between units of measure up .