Write an equation that shows the equivalency between meters and

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1. Write an equation that shows the equivalency between meters and
Gigameters.
109 m = 1 Gm
2. What conversion factor should be used to convert from meters to
Gigameters?
1Gm
109 m
3. Convert each of the following quantities to the indicated units. Use the
appropriate number of significant figures to express your answer unless
directed otherwise.
a. 4.567 trillion (4,567,000,000,000) meters to Gigameters.
1 Gm
4,567,000,000,000 ( 9 ) = 4567 Gm
10 m
b. 14520 milliliters to liters. Report to the nearest hundredth of a liter.
10-3 L
14520 mL (
) = 14.52 L
1 mL
c. 43 thousand microseconds to seconds. Report to the nearest thousandth of a
second.
10-6 s
43000 μm (
) = 0.043 s
1 μs
d. 6.30 yards to feet.
6.30 yd (
3 ft
) = 18.9 ft
1 yd
e. 0.55 feet to inches.
12 in.
0.55 ft (
) = 6.6 in.
1 ft
f. 9 ft – 2 ½ in. to inches. Report answer using fractional inches.
12 in.
1
1
1
9 ft - 22in. = 9 ft (
) + 22in. = 110 2 in.
1 ft
g. 3 ft – 5 inches to decimal feet. Report to the nearest hundredth of a foot.
1 ft
3 ft - 5 in. = 3 ft + 5 in. (
) = 3.42 ft
12 in.
h. 59.2 cm to inches.
1 in.
59.2 cm (2.54 cm) = 23.3 in.
i.
3.20 yards to inches.
3 ft 12 in.
3.20 yd (
)(
) = 115 in.
1 yd
1 ft
j.
350.0 billion nanoliters to decaliters.
10-9 L 1 dL
350,000,000,000 nL (
)(
) = 35.00 dL
1 nL 101 L
4. A village on a Caribbean island was devastated by a hurricane. The supply of
fresh water was contaminated when the storm surge washed over the island,
inundating the wells. Several tanks of fresh water were delivered to the
village. Each tank contains 10.5 hectoliters of water.
a. How many liters of water does each tank contain?
2
10 L
10.5 hL (
) = 1050 L
1 hL
b. On any given day, one person needs an average of 2.5 liters of water to
survive. How many people will a tank supply for the day? Hint: Create a
conversion factor to convert from liters to people.
1050 L (
1 person/day
) = 420 people/day
2.5 L
c. If the village (which includes people and livestock) requires a total of 430 liters
of water each day, approximately how long (in days) will one tank provide an
adequate supply for the village? Give your answer to the nearest tenth of a
day. Hint: Create a conversion factor to convert form liters to days.
1 day
) = 2.44 days
430 L
[Challenge] Convert the result to days and hours. Give your answer to the
nearest hour.
1050 L (
2.44
ays = 2 days + 0.44 days (
24 hours
1 day
) = 2 days + 11 hours
8. Many track and field events are measured in metric units.
a. In the long jump, if you can jump 5.92 meters, what is your jump length in feet?
In yards?
5.92 m (
1 cm
-2
10 m
)(
1 in.
1 ft
)(
) = 19.42 ft
2.54 cm 12 in.
1 yd
19.42 ft (
) = 6.47 yd
3 ft
b. How many yards must you run to complete a 100 meter dash?
1 cm
1 in.
1 ft
1 yd
100.0 m ( -2 ) (
)(
)(
) = 109.4 yd
10 m 2.54 cm 12 in. 3 ft
c. The women’s world record high jump is 6 feet, 10 ¼ inches. What is the record
in meters? Record your answer to the nearest hundredth of a meter.
1
6 ft - 104 in. = 6 ft + 10.25 in. (
1 ft
) = 6.85 ft
12 in.
12 in. 2.54 cm
10-2 m
6.85 ft (
)(
) (
) = 2.09 m
1 ft
1 in.
1 cm
d. How many meters is equivalent to a mile? Give your answer to the nearest
meter.
1 mi (
5280 ft 12 in. 2.54 cm 10-2 m
)(
)(
)(
) = 1609 m
1 mi
1 ft
1 in.
1 cm
Alternatively,
5280 ft
1m
1 mi (
)(
) = 1610 m
1 mi
3.28 ft
e. What is the length of a marathon (26.2 miles) in kilometers?
5280 ft
1m
1 km
26.2 mi (
)(
)(
) = 42.2 km
1 mi
3.28 ft 1000 m
From the 3.2h Activity:
2. Convert each of the following quantities to the indicated units. Use the
appropriate number of significant figures to express your answer unless otherwise
indicated.
d. 0.005098 Megaliters to liters. Record your answer in whole liters.
0.005098 ML (
106 L
) = 5098 L
1 ML
b. 57.2 inches to feet.
57.2 in. (
1 ft
) = 4.77 ft
12 in.
c. 4 ft – 6 ½ in. to inches. Record your answer in fractional inches.
12 in.
1
1
1
4 ft - 62in. = 4 ft (
) + 62in. = 54 2 in.
1 ft
d. 6 ft – 9 inches to decimal feet. Record your answer to the nearest hundredth of a
foot.
1 ft
6 ft - 9 in. = 6 ft + 9 in. (
) = 6.75 ft
12 in.
e. 935.6 inches to yards. Record your answer to the nearest hundredth of a yard.
1 ft
1 yd
935.6 in. (
)(
) = 25.99 yd
12 in. 3 ft
f. 23.5 million nanometers to millimeters
10-9 m 1 mm
23,500,000 nm (
)(
) = 23.5 mm
1 nm 10-3 m
g. 98.6 inches to meters.
2.54 cm
10-2 m
98.6 in. (
) (
) = 2.50 m
1 in.
1 cm
7. The posted speed limit in many parts of Europe is 100 km/hr. What is the
equivalent speed limit in miles per hour?
100 km 0.621 mi
mi
(
)(
) = 62.1 hr = 62.1 mph
hr
1 km
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