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chapter6.7b
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à 6.7 Conversion between US & Metric Measurements
äè Please convert between U. S. and Metric measurements
êêïof Length. (Round answers to the nearest tenth)
âêê Convert 28.6 km to _____ mi.
#è 1.61 kmêï28.6 kmë┌─¥ë1.61 ∙ xè =è 28.6
#è ───────è =è ───────ë│êêxè =è 28.6/1.61
#ë1 mi.êè x mi.ë │êêxè ≈è 17.8
#êêêêè │
#è1.61 ∙ xè =è 1 ∙ 28.6ï──┘ë28.6 km is approximately 17.8 mi.
éS The Metric units of Length are km, hm, dam, m, dm, cm,
and mm.ïThe U. S. units of Length are in, ft, yd, and miles.ïLength
or distance in one system can be converted to the other system by the
following approximate equivalencies:
êêêë1 in.è =è 2.54 cm
êêêë1 ft.è =è .305 m
êêêë1 yd.è =è .91 m
êêêë1 mi.è =è 1.61 km
è In order to convert 28.6 km to miles, you should set up a proportion
involving tne equivalence, "1 mi.è =è 1.61 km."
êêêè1.61 kmêï28.6 km
#êêêè───────è =è ───────
êêêë1 mi.êè x mi.
êêêï1.61 ∙ xè =è 1 ∙ 28.6
êêêêïxè =è 28.6/1.61
êêêêïxè ≈è 17.8 miles
1
êêê Convert 258 km to _____ mi.
ë A)ï160.2 mi.ëB)ï140.2 mi.ëC)ï120.8 mi.ëD)ïå
üêêè 1.61 kmêï258 km
#êêêè───────è =è ──────
êêêè 1 mi.êè x mi.
êêêï1.61 ∙ xè =è 1 ∙ 258
êêêêïxè =è 258/1.61
êêêêïxè ≈è 160.2 mi.
ÇïA
2
êêê Convert 30 mi. to _____ km.
ë A)ï38 kmêïB)ï54 kmêïC)ï48.3 kmêD)ïå
üêêè 1.61 kmêèx km
#êêêè───────è =è ──────
êêêè 1 mi.êè30 mi.
êêê 1.61 ∙ 30è =è 1 ∙ x
êêêë48.30è =è x
êêêï48.30 kmè =è x
ÇïC
3
êêê Convert 100 yd. to _____ m.
ë A)ï91 mêèB)ï109 mêïC)ï112 mêïD)ïå
üêêë 1 yd.êï100 yd.
#êêêë─────è =è ───────
êêêë.91 mêè x m
êêêë1 ∙ xè =è .91 ∙ 100
êêêêïxè =è 91
êêêêïxè =è 91 m
ÇïA
4
êêê Convert 100 m to _____ yd.
ë A)ï119 yd.êB)ï109.9 yd.ëC)ï93 yd.ê D)ïå
üêêë 1 yd.êïx yd.
#êêêë─────è =è ─────
êêêë.91 mêï100 m
êêêè1 ∙ 100è =è .91 ∙ x
êêêè100/.91è =è x
êêê 109.9 yd.è =è x
ÇïB
5
êêê Convert 26 m. to _____ ft.
ë A)ï85.2 ft.ë B)ï27 ft.ê C)ï49.6 ft.ë D)ïå
üêêë 1 ft.êïx ft.
#êêêè ──────è =è ─────
êêêè .305 m.ê 26 m.
êêêè 1 ∙ 26è =è .305 ∙ x
êêêè26/.305è =è x
êêêï85.2 ft.è ≈è x
ÇïA
6
êêêïConvert 6 ft. to _____ m.
ë A)ï5.4 mêïB)ï1.83 mê C)ï2.4 mêïD)ïå
üêêë 1 ft.êï6 ft.
#êêêè ──────è =è ─────
êêêè .305 mêèx m
êêêë1 ∙ xè =è .305 ∙ 6
êêêêïxè =è 1.83
êêêêïxè =è 1.83 m
ÇïB
7
êêê Convert 12 in. to _____ cm.
ë A)ï30.5 cmêB)ï25.7 cmêC)ï24.3 cmêD)ïå
üêêë 1 in.êï12 in.
#êêêè ───────è=è ──────
êêêè 2.54 cmêïx cm
êêêë1 ∙ xè =è 2.54 ∙ 12
êêêêïxè ≈è 30.5
êêêêïxè ≈è 30.5 cm
ÇïA
8
êêê Convert 200 cm to _____ in.
ë A)ï68.4 in.ë B)ï93 in.ê C)ï78.7 in.ë D)ïå
üêêë 1 in.êèx in.
#êêêè ───────è=è ──────
êêêè 2.54 cmê 200 cm
êêêè1 ∙ 200è =è 2.54 ∙ x
êêêï200/2.54è =è x
êêêï78.7 in.è ≈è x
ÇïC
äïPlease convert between U. S. and Metric measurements
êêof Weight. (Round answers to the nearest tenth)
âêê Convert 150 lb. to _____ kg.
#è 2.2 lb.êï150 lb.ë┌─¥ë 2.2 ∙ xè =è 150
#è ───────è =è ───────ë│êêxè =è 150/2.2
#ë1 kgêëx kgê│êêxè ≈è 68.2
#êêêêè │
#è 2.2 ∙ xè =è 1 ∙ 150è──┘ë150 lb. is approximately 68.2 kg
éS The Metric units of Mass are kg, hg, dag, g, dg, cg,
and mg.ïThe U. S. units of Weight are oz, lb, and ton.ïAt the earth's
surface the following approximate equivalencies can be used to convert
from one system to another.
êêêë1 oz.è =è 28.35 g
êêêè2.2 lb.è =è 1 kg
êêêë1 lb.è =è 454 g
ëIn order to convert 150 lb. to kg, you should set up a proportion
involving tne equivalence, "2.2 lb.è =è 1 kg."
êêêè2.2 lb.êï150 lb.
#êêêè───────è =è ───────
êêêë1 kgêëx kg.
êêêè2.2 ∙ xè =è 1 ∙ 150
êêêêïxè =è 150/2.2
êêêêïxè ≈è 68.2 kg
9
êêê Convert 200 lb. to _____ kg.
ë A)ï90.9 kgêB)ï109 kgê C)ï99 kgêïD)ïå
üêêè 2.2 lb.êï200 lb.
#êêêè───────è =è ───────
êêêè 1 kgêëx kg.
êêêè2.2 ∙ xè =è 1 ∙ 200
êêêêïxè =è 200/2.2
êêêêïxè ≈è 90.9 kg
ÇïA
10
êêê Convert 11 kg to _____ lb.
ë A)ï26 lb.ê B)ï24.2 lb.ë C)ï22 lb.ê D)ïå
üêêè 2.2 lb.êïx lb.
#êêêè───────è =è ─────
êêêè 1 kgêè 11 kg
êêêë1 ∙ xè =è 2.2 ∙ 11
êêêêïxè =è 24.2
êêêêïxè =è 24.2 lb.
ÇïB
11
êêê Convert 5 lb. to _____ kg.
ë A)ï3 kgêèB)ï4 kgêèC)ï2.3 kgêD)ïå
üêêè 2.2 lb.êï5 lb.
#êêêè───────è =è ─────
êêêë1 kgêè x kg
êêêè2.2 ∙ xè =è 1 ∙ 5
êêêêïxè =è 5/2.2
êêêêïxè ≈è 2.3 kg
ÇïC
12
êêê Convert 16 oz. to _____ g.
ë A)ï257.6 gêB)ï453.6 gêC)ï382.4 gêD)ïå
üêêë1 oz.êè16 oz.
#êêêè───────è =è ──────
êêêè28.35 gêè x g
êêêë1 ∙ xè =è 28.35 ∙ 16
êêêêïxè =è 453.6
êêêêïxè =è 453.6 g
ÇïB
13
êêê Convert 80 g to _____ oz.
ë A)ï3.2 oz.êB)ï6 oz.êïC)ï2.8 oz.êD)ïå
üêêë 1 oz.êïx oz.
#êêêè ──────è =è ─────
êêêè28.35 gêï80 g
êêêè 1 ∙ 80è =è 28.35 ∙ x
êêêï80/28.35è =è x
êêêè2.8 oz.è ≈è x
ÇïC
14
êêê Convert 1/2 lb. to _____ g.
ë A)ï337 gêïB)ï227 gêïC)ï896 gêïD)ïå
üêêë 1 lb.êï1/2 lb.
#êêêè ──────è =è ───────
êêêë454 gêè x g
êêêë1 ∙ xè =è 1/2 ∙ 454
êêêêïxè =è 454/2
êêêêïxè =è 227 g
ÇïB
15
êêêConvert 2000 g to _____ lb.
ë A)ï4.4 lb.êB)ï20.2 lb.ë C)ï14.6 lb.ë D)ïå
üêêë 1 lb.êèx lb.
#êêêë─────è =è ──────
êêêë454 gêï2000 g
êêêï1 ∙ 2000è =è 454 ∙ x
êêêï2000/454è =è x
êêêè4.4 lb.è ≈è x
ÇïA
ä Please convert between U. S. and Metric measurements
êë of Capacity. (Round answers to the nearest tenth)
âêêïConvert 5 L to _____ qt.
#ë1 Lêë 5 Lê ┌─¥êïxè =è 1.06 ∙ 5
#è────────è =è ─────ê│êè xè =è 5.30
#è1.06 qt.êïx qt.ê│êè xè =è 5.3 qt.
#êêêêè │
#è1 ∙ xè =è 1.06 ∙ 5ë──┘ë 5 L is approximately 5.3 qt.
éS The Metric units of Capacity are kl, hl, dal, L, dl, cl,
and ml.ïThe U. S. units of Capacity are oz, cup, pt, qt, and gal.
Units in one system can be converted to the other system by the
following approximate equivalence.
êêêê1 Lè =è 1.06 qt.
èIn order to convert 5 L to qt., you should set up a proportion
involving the equivalence, "1 Lè =è 1.06qt."
êêêè 1 Lêë 5 L
#êêêï────────è =è ──────
êêêï1.06 qt.êèx qt.
êêêë 1∙ xè =è 1.06 ∙ 5
êêêêïxè =è 5.3 qt.
16
êêê Convert 4 qt. to _____ L.
ë A)ï4.23 Lê B)ï3.8 LêïC)ï2.9 LêïD)ïå
üêêë1 Lêë x L
#êêêï────────è =è ─────
êêêï1.06 qt.êï4 qt.
êêêë1 ∙ 4è =è 1.06 ∙ x
êêêè 4/1.06è =è x
êêêë3.8 Lè ≈è x
ÇïB
17
êêê Convert 10 gal. to _____ L.
ë A)ï37.7 Lê B)ï22 L lb.ë C)ï18.4 Lê D)ïå
üêêë1 Lêë x L
#(10 gal.ï=ï40 qt.)è────────è =è ─────
êêêï1.06 qt.êï40 qt.
êêêè 1 ∙ 40è =è 1.06 ∙ x
êêêè40/1.06è =è x
êêêè 37.7 Lè =è x
ÇïA
18
êêê Convert 24 cups to _____ L.
ë A)ï3.7 LêïB)ï4.2 LêïC)ï5.7 Lê D)ïå
üêêë 1 Lêëx L
#êêêï────────è =è ─────
êêêï1. 06 qt.ê 6 qt.
êêêë1 ∙ 6è =è 1.06 ∙ x
êêêè 6/1.06è =è x
êêêë5.7 Lè ≈è x
ÇïC