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chapter6.6b
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1993-09-25
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àï6.6è Metric Measurements of Capacity.
äè Please convert the following Metric Measurements of
êêïCapacity.
âêê Convert 8.5 ml to _____ L.
êêïklè hlè dalè Lè dlè clèml
#êêêêê└────────────────┘
è This conversion involves moving the decimal point three places to
the left.êè Thus, 8.5 mlè =è .0085 L.
éSïThe Metric Measurements of Capacity are milliliter, centiliter,
deciliter, liter, decaliter, hectoliter, and kiloliter.ïThe
equivalencies between ç units of Capacity are as follows:
êê 1 kiloliter (kl)è =è 1000 liter (L)
êê1 hectoliter (hl)è =è 100 L
êê1 decaliter (dal)è =è 10 L
êêë 1 liter (L)è =è 1 L
êê 1 deciliter (dl)è =è .1 L
êê1 centiliter (cl)è =è .01 L
êê1 milliliter (ml)è =è .001 L
#ê1 cubic centimeter (cmÄ)è =è 1 milliliter
ëIt is possible to convert 8.5 ml to L by using proportions, but it
is much faster to just move the decimal point as was done with Metric
Measurements of Length.ïThe first thing to do is to list the units of
Capacity from largest to smallest.
êè klè hlè dalè Lè dlè clè ml
#êêêêï└─────────────────┘
Since each unit of measurement differs from the next unit by a factor of
10, converting milliliters to liters involves moving the decimal point
three places to the left.
êêêThus, 8.5 mlè=è.0085 L.
1
êêê Convert 3600 ml to _____ L.
ë A)ï3.6 LêïB)ï36 Lêè C)ï360 LêèD)ïå
ü
êêïklè hlè dalè Lè dlè clè ml
#êêêêê└─────────────────┘
è This conversion involves moving the decimal three places to the left.
êêêïThus, 3600 mlè=è3.6 L.
Ç A
2
êêê Convert .0389 L to _____ ml.
ë A)ï.389 mlêB)ï389 mlêïC)ï38.9 mlê D)ïå
ü
êêïklè hlè dalè Lè dlè clè ml
#êêêêê└─────────────────┘
This conversion involves moving the decimal three places to the right.
êêêïThus, .0389 Lè=è38.9 ml.
Ç C
3
#êêê Convert .45 ml to _____ cmÄ.
#ë A)ï450 cmÄê B)ï.45 cmÄêC)ï45 cmÄêïD)ïå
üêThis problem can be done by proportions using the
#equivalence, " 1 mlè=è1 cmÄ".
#êêêêë ┌─¥ë 1 ∙ xè =è 1 ∙ .45
#êï1 mlêï.45 mlë │êëxè =è .45 cmÄ
#ê ─────è =è ──────ï,è│ê Actually, since the conver-
#ê 1 cmÄêèx cmÄè ──┘ê sion is 1 to 1,
#êêêêêêï.45 mlè=è.45 cmÄ
Ç B
4
#êêêConvert 4,061 cmÄ to _____ L.
ë A)ï406.1 Lê B)ï40.61 L mgè C)ï4.061 Lê D)ïå
#üè Note that 4,061 cmÄè=è4,061 ml, so just convert ml to L.
êêïklè hlè dalè Lè dlè clè ml
#êêêêê└─────────────────┘
ïThis conversion involves moving the decimal three places to the left.
#êêêïThus, 4,061 cmÄè=è4.061 L.
Ç C
5
êêê Convert 2368 cl to _____ dal.
ë A)ï236.8 dalë B)ï2.368 dalëC)ï23.68 dalë D)ïå
ü
êêïklè hlè dalè Lè dlè clè ml
#êêêêï└────────────────┘
ïThis conversion involves moving the decimal three places to the left.
êêêïThus, 2368 clè=è2.368 dal
Ç B
6
êêê Convert 4,368 dl to _____ kl.
ë A)ï4.368 klêB)ï43.68 klë C)ï.4368 klêD)ïå
ü
êêïklè hlè dalè Lè dlè clè ml
#êêï└───────────────────────┘
ïThis conversion involves moving the decimal four places to the left.
êêêïThus, 4,368 dlè=è.4368 kl.
Ç C
7
#êêê Convert 3.85 L to _____ cmÄ.
#ë A)ï3850 cmÄêB)ï385 cmÄë C)ï38.5 cmÄë D)ïå
ü
êêïklè hlè dalè Lè dlè clè ml
#êêêêê└────────────────┘
ïThis conversion involves moving the decimal three places to the right.
#êêêïThus, 3.85 Lè=è3850 mlè=è3850 cmÄ
Ç A
8
êêê Convert 5.34 kl to _____ L.
ë A)ï53.4 LêïB)ï5340 LêC)ï534 LêïD)ïå
ü
êêïklè hlè dalè Lè dlè clè ml
#êêï└──────────────────┘
ïThis conversion involves moving the decimal three places to the right.
êêêïThus, 5.34 klè=è5,340 L.
Ç B
9
êêê Convertï4 L 36 mlïto _____ L.
ë A)ï4.036 Lê B)ï4.36 LêC)ï4.0036 Lë D)ïå
üêê First change 36 ml to L.
êêïklè hlè dalè Lè dlè clè ml
#êêêêê└─────────────────┘
ïThis conversion involves moving the decimal three places to the left.
êêêïThus, 36 mlè =è .036 L.
êêïNow add 4 L to .036 L to get a total of 4.036 L.
Ç A
10
êêê Convertï5 kl 57 Lïto _____ kl.
ë A)ï5.0057 klë B)ï5.057 klëC)ï5.57 klêD)ïå
üêê First change 57 L to kl.
êêïklè hlè dalè Lè dlè clè ml
#êêï└──────────────────┘
ïThis conversion involves moving the decimal three places to the left.
êêêïThus, 57 Lè =è .057 kl.
êè Now add .057 kl to 5 kl to get a total of 5.057 kl.
Ç B