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METRIC SYSTEM UNITS OF LENGTH, Slides of Calculus

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- =.

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METRIC SYSTEM UNITS OF LENGTH
ÞTo convert units of length in the metric system of measurement
The 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- = 1000 1 kilometer (km) =1000 meters (m)
hecto- = 100 1 hectometer (hm) = 100 m
deca- =10 1 decameter (dam) = 10 m
1 meter (m) = 1 m
deci- = 0.1 1 decimeter (dm) = 0.1 m
centi- = 0.01 1 centimeter (cm) = 0.01 m
milli- = 0.001 1 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 hm dam mdm cm mm Converting cm t o m requires moving
42 .0 0 2 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 measuremen t 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 hm dam mdm cm mm
Converting m to km requires mo ving
0 . 0 3 2
2 positions to the left.
32 = 0 .0 32 km Move the decimal point the same number of places
and in the same direction.
So 8 km 32 m = 8 km +0.03 2 km
Add the result to 8 km
=8.03 2 km
Math 0300
Student Learning Assistance Center - San Antonio College
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METRIC SYSTEM UNITS OF LENGTH

fi To convert units of length in the metric system of measurement

The 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- = 1000 1 kilometer (km) = 1000 meters (m) hecto- = 100 1 hectometer (hm) = 100 m deca- = 10 1 decameter (dam) = 10 m 1 meter (m) = 1 m deci- = 0.1 1 decimeter (dm) = 0.1 m centi- = 0.01 1 centimeter (cm) = 0.01 m milli- = 0.001 1 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 hm dam m dm cm mm Converting cm to m requires moving

4 2. 0 0 2 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 hm dam m dm cm mm Converting m to km requires moving

2 positions to the left.

32 = 0.032 km Move the decimal point the same number of places and in the same direction.

So 8 km 32 m = 8 km + 0.032 km Add the result to 8 km = 8.032 km

Math 0300

Student Learning Assistance Center - San Antonio College 1

fi To solve application problems

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

remaining piece.

® Strategy

To find the length of the remaining piece:

fi Convert the length of the piece cut (142 cm) in meters.

km hm dam m dm cm mm

® Solution

142 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

Math 0300

Student Learning Assistance Center - San Antonio College 2