Section 8.4 Problem Solving with Metric Measurements

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Section 8.4 Problem Solving with Metric
Measurements Perform the indicated operations.
Make sure the units are the same. 1. 5 m 35
cm 2. 10 m 17 cm 5 m 93 cm
10m 0.17m 5m 0.93m
5 m 0.35 m
7.10 m
5.35 m
100cm 17cm 500cm 93cm
500 cm 35 cm
710 cm
535 cm
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3. 2.5 km 600 m 4. 2 kg 45 mg
2.5 km 0.6 km
2 kg 0.000045kg
1.9 km
1.999955 kg
2,000,000mg 45 mg
2500 m 600 m
1,999,955 mg
1900 m
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Solving a Metric Application 1. Read the
problem. 2. Work out a plan 3. Estimate a
reasonable answer. 4. Solve the problem using
metric conversions. 5. Answer the question in a
sentence. 6. Check the answer.
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Solve each application problem. If necessary,
round the answer to the nearest hundredth. 5.
Bananas are on sale for 1.19 per kilogram. If
Shirley purchased 2 kg 55 g of bananas, how much
will she pay for the bananas?
Conversion
Exact
Estimate
2.055 kg 1.19/ kg
2kg 1.20/kg
5 5 g
2.44545
2.40
0.055 kg
Shirley will pay 2.45 for the bananas
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6. A Great Dane is approximately 1.3 m tall
whereas, a Yorkshire terrier is approximately 40
cm tall. What is the difference in height?
Conversion
Exact
Estimate
1.3 m 0.40 m
1m 0m
4 0 cm
1 m
0. 4 0 m
0.9 m
The difference in height is 0.9 m.
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7. Floor tiles weigh 160 g. Tim needs 68 tiles
to cover the kitchen floor. How much will all
the tiles weigh in kilograms?
Conversion
Exact
Estimate
0.16 kg 68
.2kg 60
1 6 0 g
12 kg
0. 1 6 0 kg
10.88 kg
The tiles will weigh 10.9 kg.
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8. Molly needs two 2.7 m pieces and one 95 cm
piece of wood trim for her doorway. Wood trim
costs 3.85 per meter plus 6.5 sales tax. How
much will it cost Molly to frame her doorway?
Estimate
Conversion
4.00(23m1m)
9 5 cm
4.00( 7 )
0. 9 5 m
28.00
28.00 1.40
29.40
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8. Molly needs two 2.7 m pieces and one 95 cm
piece of wood trim for her doorway. Wood trim
costs 3.85 per meter plus 6.5 sales tax. How
much will it cost Molly to frame her doorway?
Estimate
Exact
3.85 ( 5.4 0.95)
29.40
3.85 ( 6.35)
24.45
Molly will spend 26.04 to frame in her doorway.
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Sec 8.4 Problem solving with metric
measurements Pg. 609 1 15 odd, 4, 6, 10,
12
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Section 8.5 Metric-English Conversions and
Temperature Conversions between Systems
Make the following conversions by multiplying by
appropriate conversion factors. If necessary,
round the answer to the nearest tenth. 1. 1
ft _________ cm
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2. 600 m ________yd
3. 35 gal _______ L
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4. 2.75 kg ______ lb
5. 15 qt _________mL
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6. 12 kg _______ oz
7. An economical dishwasher uses only 6.5 L of
water. How many gallons does it use?
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8. The speed limit on the highway in Canada is
100 km per hour. What is the speed limit in
Canada in miles per hour?
9. Kelly went grocery shopping in Canada and the
total bill was 154.25 in Canadian dollars. The
exchange rate is currently 1.00 US 1.36
Canadian. How much was the grocery bill in US
dollars?
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10. Change 22C to F
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11. Change 122F to C
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Sec 8.5 English Metric conversions Pg. 615 1
19 odd, 31 41 odd, 6, 10, 14, 18, 34, 36