[PDF] [PDF] METRIC SYSTEM UNITS OF LENGTH - Alamo Colleges

Conversion between units of length in the metric system involves moving the decimal point to the right or to the left Listing the units in order from largest to 



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METRIC SYSTEM UNITS OF LENGTH

ÞTo convert units of length in the metric system of measurementThe basic unit of length in the metric system is the meter. All units of length in the metric system are derived

from the meter. The prefix "centi-"means one hundredth.

1 centimeter=1 one-hundredth of a meter

kilo-= 10001 kilometer (km)=1000 meters (m) hecto- = 1001 hectometer (hm)= 100 m deca-=101 decameter (dam)= 10 m

1 meter (m)= 1 m

deci-= 0.11 decimeter (dm)= 0.1 m centi-= 0.011 centimeter (cm)= 0.01 m milli-= 0.0011 millimeter (mm)= 0.001 m

Conversion between units of length in the metric system involves moving the decimal point to the right or to

the left. Listing the units in order from largest to smallest will indicate how many places to move the decimal

point and in which direction. Example 1: To convert 4200 cm to meters, write the units in order from largest to smallest. km hmdammdmcmmmConverting cm to m requires moving

42 .0 02 positions to the left.

Move the decimal point the same number of places

and in the same direction (to the left).

So 4200 cm=42.00 m

A metric measurement involving two units is customarily written in terms of one unit. Convert the smaller unit

to the larger unit and then add.

Example 2: To convert 8 km 32 m to kilometers

First convert 32 m to kilometers.

km hmdammdmcmmm

Converting m to km requires moving

0 . 0 3 2

2 positions to the left.

32 = 0.032 kmMove the decimal point the same number of placesand in the same direction.

So 8 km 32 m =8 km +0.032 km

Add the result to 8 km

=8.032 km

ÞTo solve application problemsExample 3:A piece measuring 142 cm is cut from a board 4.20 m long. Find the length of the

remaining piece. ¨ StrategyTo find the length of the remaining piece: ÞConvert the length of the piece cut (142 cm) in meters. km hmdammdmcmmm 1 . 4 2

¨ Solution142 cm = 1.42 m

4.20 m + 142 cm = 4.20 m + 1.42 m

= 2.78 m

The length of the piece remaining is 2.78 m

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