Section 8'1 Problem Solving with English Measurements

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Section 8.1 Problem Solving with English
Measurements U.S. System (English) Conversions
Convert 10 feet to inches. Since we know 1
foot 12 inches, a common sense approach would
be to multiply 10 by 12 inches. So 10 ft
10(12 inches) 120 in. These conversions will
become very complicated, so we need another way
to show conversions so that we can be certain to
end with the correct unit of measure.
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1 ft 12 in written as a Conversion Factor is
Convert 10 ft to inches using conversion factors
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Steps for changing units of measure using
conversion factors 1. Identify starting and
ending units 2. Find the conversion factors
that will take you from start to end 3. Set up
multiplication so that all units (except ending)
divide out.
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Make the following conversions in the U.S. system
(English system) by multiplying by the
appropriate conversion factors. 1. 20 ft
______in 2. 9.5 yd _____in
3. 100 ft _____yd
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4. 126,720 in _____mi
5. 7 gal _____ pts
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6. 1,800 qt _____gal
7. 176 oz ____ lbs
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7. tons ____ oz
9. The maximum speed limit on part of Highway 5
in California is 65 miles per hour. Convert 65
miles/hour to feet/second. Round to the nearest
tenth.
95.3 feet/second
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10. A family with a swimming pool puts up a
chain-link fence around the pool. The fence
forms a rectangle 12 yards wide and 24 yards
long. If the chain-link fence sells for 2.50
per foot, how much will it cost to fence all
four sides of the pool?
P 2w 2l
P 2(36 ft) 2( 72 ft )
P 72 ft 144 ft
P 216 ft
Cost 216 ft
The cost for fencing in the pool is 540.00
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Sec 8.1 English measurements Pg. 585 1 59
odd, 26, 30, 36, 50, 54, 60
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Section 8.2 The Metric System Length Similar
units between metric and English system of
measurements 1 mile is similar to 1 kilometer
1 yard is similar to 1 meter 1 inch is
similar to 2.5 centimeters
Choose from km, m, cm, mm. 1. The distance from
home to work is 20 _________. 2. My wedding
ring is 4 _________ wide. 3. The newborn baby
is 50 _________ long. 4. An aspirin tablet is
10 _________ across. 5. A paper clip is about 3
_________ long. 6. The door is 2 _________ high.
km
mm
cm
mm
cm
m
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K_______ H_______ D________ B________ D_______
C________ M________
Steps for converting in the metric system 1.
Start in the beginning unit column and move left
or right to get to the ending unit. 2. Count
the number of jumps. 3. Move the decimal the
same direction and number as obtained from steps
1 2.
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Convert the following units in the metric system
7. 18 m _______mm 8. 4380 dm
________km
18000 mm
1 8
0 0 0
0.4380 km
4 3 8 0
0
13
8.95 dm
9. 89.5 cm _______dm 10. 0.23 hm
_______m
8 9 5
23 m
0 2 3
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Sec 8.2 Metric system Length Pg. 595 1 45
eoo, 22, 26, 30, 36, 42
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Section 8.3 The Metric System Capacity and
Weight (Mass) Similar units between metric and
English system of measurements 2 pounds is
similar to 1 kilogram 1 quart is similar to
1 liter 1 mg is a very small unit of
measure. Choose from kg, g, and mg. 1. Rays
suitcase weighed 20 _________. 2. Taylor took a
350 _________ aspirin tablet. 3. Jenny mailed a
letter that weighed 30 _________. 4. Jerrys
basketball weighed 600 _________. 5. On his
diet, Greg can eat 90 _________ of meat for
lunch. 6. One strand of hair weighs 2
_________.
kg
mg
mg
g
g
mg
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Choose from L, mL 7. The glass held 250
_________ of water. 8. Joe can make 10
_________ of soup in that pot. 9. Cindy donated
500 _________ of blood today. 10. Bart bought
the large 2 _________ bottle of coke. 11. Kevin
poured 10 _________ of vanilla extract into a
bowl. 12. Cindy took 15 _________ of cough
syrup every four hours.
mL
L
mL
L
mL
mL
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Choose from km, m, cm, mm, L, mL, kg, g, mg.
13. My husband weighs 75 _________. 14. I
hiked 5 _________ this morning. 15. This apple
weighs 180 _________. 16. I bought 10 _________
of soda for the picnic. 17. The bracelet is 16
_________ long.
kg
km
g
L
cm
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Convert the following units in the metric system
18. 9.6 L __________mL 19. 5,000,000
mL ________ kL
9600 mL
9 6
0 0
5 kL
5 0 0 0 0 0 0
19
5000 g
20. 5 kg _______g 21. 979 cg _______
g
0 0 0
5
0.979 g
9 7 9
0
20
Sec 8.3 Metric system Weight Pg. 603 1 21
eoo, 29 73 eoo, 12, 30, 40, 64, 68