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.

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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.

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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 .