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chapter6.4b
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àï6.4ëMetric Measurements of Length.
äè Please convert the following Metric Measurements of
Length.
âêêConvert 8,368 m to _____ km
#ê1 kmêëx kmê┌─¥ë8368è =è 1000 ∙ x
#ë ──────è =è ──────ê│ï8368/1000è =è x
#ë 1000 mêï8368 mê│ë 8.368è =è x
#êêêêë │
#è 1 ∙ 8368è =è 1000 ∙ xè──┘è8.368 kmè =è x
éS The Metric Measurements of Length are millimeter, centimeter,
decimeter, meter, decameter, hectometer, and kilometer.ïThe
equivalencies between ç units of Length are as follows:
êê 1 kilometer (km)è =è 1000 meters (m)
êê1 hectometer (hm)è =è 100 m
êê1 decameter (dam)è =è 10 m
êêë 1 meter (m)è =è 1 m
êê 1 decimeter (dm)è =è .1 m
êê1 centimeter (cm)è =è .01 m
êê1 millimeter (mm)è =è .001 m
ëIn order to convert 8,368 m to km, you should set up a Proportion
involving the equivalence, "1 kmè=è1000 m."
êêêè 1 kmêë x km
#êêêè──────ë=è ───────
êêêè1000 mêè8,368 m
êêê 1 ∙ 8,368è =è 1000 ∙ x
êêê8,368/1000è =è x
êêêï8.368 kmè =è x
A short cut involves moving the decimal point to the right or left.ïThe
direction and the number of places can be determined by writing the
metric units of length from largest to smallest.
êè kmè hmè damè mè dmè cmè mm
#êë└─────────────────┘
To change meters to kilometers, note that this would be three places to
the left.ïThe decimal point is moved in the same direction and same
number of places.ïThus,ï8368 mè =è 8.368 km.ïThis is the big
advantage of the metric system of measurement.
1
êêê Convert 83 cm to _____ m.
ë A)ï.83 mêèB) 8.3 mêèC)ï830 mêèD)ïå
ü
êêïkmè hmè damè mè dmè cmè mm
#êêêêê└───────────┘
è This conversion involves moving the decimal two places to the left.
êêêïThus, 83 cmè=è.83m
Ç A
2
êêê Convert 83.5 mm to _____ cm.
ë A)ï.835 cmê B) 8.35 cmê C)ï835 cmêïD)ïå
ü
êêïkmè hmè damè mè dmè cmè mm
#êêêêêêë└─────┘
è This conversion involves moving the decimal one place to the left.
êêêïThus, 83.5 mmè=è8.35 cm
Ç B
3
êêêïConvert 3750 m to _____ km.
ë A)ï.375 kmê B)ï37.5 kmêC)ï3.75 kmê D)ïå
ü
êêïkmè hmè damè mè dmè cmè mm
#êêï└──────────────────┘
è This conversion involves moving the decimal three places to the left.
êêêïThus, 3750 mè=è3.75 km.
Ç C
4
êêê Convert 84.7 km to _____ m.
ë A)ï8.47 mêïB)ï8470 mê C)ï84,700 mêD)ïå
ü
êêïkmè hmè damè mè dmè cmè mm
#êêï└──────────────────┘
ïThis conversion involves moving the decimal three places to the right.
êêêïThus, 84.7 kmè=è84,700 m.
Ç C
5
êêê Convert 32.8 cm to _____ m.
ë A)ï3280 mêïB)ï.328 mê C)ï.0328 mê D)ïå
ü
êêïkmè hmè damè mè dmè cmè mm
#êêêêê└───────────┘
ïThis conversion involves moving the decimal two places to the left.
êêêïThus, 32.8 cmè=è.328 m.
Ç B
6
êêê Convert 4.28 m to _____ cm.
ë A)ï428 cmêïB)ï42.8 cmêC)ï.428 cmê D)ïå
ü
êêïkmè hmè damè mè dmè cmè mm
#êêêêê└───────────┘
ïThis conversion involves moving the decimal two places to the right.
êêêïThus, 4.28 mè=è428 cm.
Ç A
7
êêê Convert 91 mm to _____ cm.
ë A)ï.91 cmêïB)ï9.1 cmêC)ï910 cmê D)ïå
ü
êêïkmè hmè damè mè dmè cmè mm
#êêêêêêë└─────┘
ïThis conversion involves moving the decimal one place to the left.
êêêïThus, 91 mmè=è9.1 cm.
Ç B
8
êêê Convert 6804 m to _____ km.
ë A)ï6.804 kmêB)ï68.04 kmëC)ï680.4 kmë D)ïå
ü
êêïkmè hmè damè mè dmè cmè mm
#êêè└─────────────────┘
ïThis conversion involves moving the decimal three places to the left.
êêêïThus, 6804 mè=è6.804 km.
Ç A
9
êêê Convert 532 cm to _____ m.
ë A)ï.532 mêïB)ï53.2 mêC)ï5.32 mê D)ïå
ü
êêïkmè hmè damè mè dmè cmè mm
#êêêêê└───────────┘
ïThis conversion involves moving the decimal two places to the left.
êêêïThus, 532 cmè=è5.32 m.
Ç C
10
êêê Convert .75 m to _____ cm.
ë A)ï750 cmêïB)ï75 cmê C)ï7.5 cmê D)ïå
ü
êêïkmè hmè damè mè dmè cmè mm
#êêêêê└───────────┘
ïThis conversion involves moving the decimal two places to the right.
êêêïThus, .75 mè=è75 cm.
Ç B