Chapter 15 Test B • Metric Measurement

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Date
CHAPTER 15
187
Vocabulary • Metric Measurement
Fill in each blank with the word or words from the box that will
complete the sentence.
metric
unit price
1. The
meter
gram
liter
system is the system of measurement based on the number 10.
2. The basic unit used to measure weight is called a
.
3. The basic unit used to measure length is called a
.
4. The basic unit used to measure liquid capacity is called a
.
5. The cost of one item or one unit measure of an item is called the
.
Identify the best unit of measure for measuring each item.
Write the letter for the unit next to the number for the item.
ITEM
UNIT OF MEASURE
6.
weight of an adult
a. meters
7.
length of a pen
b. liters
8.
weight of a paper clip
c. kilograms
9.
distance between cities
d. centimeters
10.
capacity of a soda bottle
e. gram
11.
length of building
f. millilites
12.
drop of water
g. kilometers
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Chapter 15 • Resources
187
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Date
CHAPTER 15
188
Review • Length
Lesson 15.2
In the metric system, the meter is used to measure length.
Largest
km
hm
dam
m
dm
cm
Smallest
mm
To change a larger unit to a smaller
unit, multiply.
Change 6.5 kilometers to meters.
Multiply kilometers by 1,000.
6.5 1,000 6,500 meters
Useful Facts
1 kilometer
1,000 meters
1 hectometer
100 meters
1 dekameter
10 meters
1 meter
1 meter
10 decimeters
1 meter
100 centimeters 1 meter
To change a smaller unit to a larger
unit, divide.
1,000 millimeters 1 meter
Change 77 meters to kilometers.
Divide meters by 1,000.
77 1,000 .077 kilometer
Multiply to change each measurement.
1. 4 kilometers 3. 3 meters 5. 7 centimeters 2. 7 meters meters
millimeters
millimeters
centimeters
4. 5.2 meters millimeters
6. 3.1 meters centimeters
Divide to change each measurement.
7. 200 centimeters 9. 7 millimeters 11. 1,500 meters 188
Chapter 15 • Resources
meters
8. 1,400 meters centimeter
10. 8,000 millimeters kilometers
12. 80 millimeters kilometers
meters
centimeters
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CHAPTER 15
189
Review • Mass
Lesson 15.3
In the metric system, the gram is used to measure mass.
Largest
kg
hg
dag
g
dg
cg
Smallest
mg
To change a larger unit to a smaller
unit, multiply.
Change 65 grams to centigrams.
Multiply grams by 100.
65 100 650 centigrams
To change a smaller unit to a larger
unit, divide.
Useful Facts
1 kilogram
1,000 grams
1 hectogram
100 grams
1 dekagram
10 grams
1 gram
1 gram
10 decigrams
1 gram
100 centigrams 1 gram
1,000 milligrams 1 gram
Change 8 grams to dekagrams.
Divide grams by 10.
8 10 .8 dekagram
Multiply to change each measurement.
1. 12 grams milligrams
2. 5.8 kilograms 3. 2.5 grams decigrams
4. 1.4 grams 5. .6 gram milligrams
6. .6 kilogram grams
centigrams
grams
Divide to change each measurement.
7. 8,800 grams 9. 900 centigrams 11. 500 grams kilograms
grams
hectograms
8. 600 milligrams 10. 3,700 grams 12. 20 grams Pacemaker® Interactive Classroom Resources CD-ROM for Basic Mathematics
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gram
kilograms
dekagrams
Chapter 15 • Resources
189
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CHAPTER 15
190
Review • Capacity (Liquid Measure)
Lesson 15.4
In the metric system, the liter is used to measure liquid capacity.
Largest
kL
hL
daL
L
dL
cL
Smallest
mL
To change a larger unit to a smaller
unit, multiply.
Change 17.6 kiloliters to liters.
Multiply kiloliters by 1,000.
17.6 1,000 17,600
To change a smaller unit to a larger
unit, divide.
Useful Facts
1 kiloliter
1,000 liters
1 hectoliter
100 liters
1 dekaliter
10 liters
1 liter
1 liter
10 deciliters
1 liter
100 centiliters
1 liter
1,000 milliliters 1 liter
Change 876 milliliters to centiliters.
Divide milliliters by 10.
876 10 87.6 centiliters
10 milliliters
1 centiliter
Multiply to change each measurement.
1. 8 kiloliters 3. 33 liters 5. 4 hectoliters 2. 2.8 liters liters
milliliters
milliliters
4. 5.1 kiloliters dekaliters
liters
6. 1.2 kiloliters liters
Divide to change each measurement.
7. 50 centiliters 9. 4,600 milliliters 11. 400 liters 190
Chapter 15 • Resources
liters
liters
hectoliters
8. 7,900 liters 10. 25,000 liters 12. 35,000 milliliters kiloliters
kiloliters
liters
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Review • Problem Solving:
Two-Part Problems
CHAPTER 15
191
Lesson 15.6
To solve two-part word problems, you may need to answer a hidden question.
Barry needs 8 meters of tape. The tape comes in rolls of
200 centimeters each. How many rolls will he have to buy?
PLAN
Find how many centimeters are in 8 meters.
Remember: 100 centimeters 1 meter.
Then divide to find how many rolls of tape to buy.
DO
Change 8 meters to centimeters.
Divide.
800 200 4 rolls
8 100 800 centimeters
Barry will have to buy 4 rolls of tape.
READ the problem. Make a PLAN. DO the plan to solve
the problem.
1. Artie bought 3 kilograms of sugar. He used 700 grams of sugar on
Friday. On Saturday, he used 550 grams. How many kilograms of
sugar are left?
2. The school’s athletic department needed to lay 2 kilometers of
running track. In the first week of construction, 940 meters of
track were laid. In the second week, 760 meters were laid. How
many meters of track still need to be laid?
3. John drank 3 liters of liquid in one day. He drank
1,500 milliliters of water, 600 milliliters of juice, and some milk.
How many liters of milk did John drink on that day?
4. The mass of 1 dime is about 3 grams. There are 50 dimes in a roll.
Find the mass of 3 rolls of dimes.
5. Tia and Shanique are wrapping 200 gifts for the senior citizens of
their community. They use 50 centimeters of tape for each gift.
Tape comes in rolls of 250 centimeters each. How many rolls of
tape should they buy?
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Chapter 15 • Resources
191
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Practice • Problem Solving:
Two-Part Problems
CHAPTER 15
192
Lesson 15.6
READ the problem. Make a PLAN. DO the plan to solve
the problem.
1. June bought 1.5 kilograms of dried fruit, mixed nuts, and
crackers. There were 280 grams of dried fruit and 630 grams of
mixed nuts. How many grams were crackers?
2. The goal of the city’s department of public works is to repave
10,000 meters of road. It paved 6 kilometers of road in June and
2.5 kilometers in July. How many meters does it still need to
repave to reach its goal?
3. Maria made 4,500 milliliters of fruit punch. She used 1.5 liters of
grapefruit juice, 2 liters of soda, and some orange juice to make
the punch. How many liters of orange juice did she use?
4. Beth brought 5.5 liters of lemonade to the picnic. Antonio drank
1,100 milliliters of the lemonade, Jen drank 1,400 milliliters, and
Will drank 800 milliliters. How many liters of lemonade are left?
5. Mrs. Washington takes 1.2 grams of vitamins each day. She takes
200 milligrams of vitamin B, 600 milligrams of vitamin C, and
vitamin E each day. How many milligrams of vitamin E does Mrs.
Washington take each day?
6. Geena usually runs 4 kilometers each day. On Saturday, she
decided to run down Elm Street and Oak Avenue. Elm Street is
1,200 meters long. Oak Avenue is 3,900 meters long. How many
more kilometers did Geena run on Saturday than usual?
192
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CHAPTER 15
193
Math in Your Life • Better Buy
Lesson 15.1
Tell which item is a better buy.
1.
2.
5 L for
$4.10
200 g for
$1.20
2 L for
$1.50
3.
100 g for
$.89
4.
300 g for
$5.60
500 g for
$7.80
5.
4 L for
$3.24
3 L for
$2.28
5 L for
$3.75
3.5 L for
$2.49
6.
4 L for
$2.00
2.5 L for
$1.13
Solve each problem. Show your work.
7. Joanna and Andre went food shopping for the family. They were
given $10 and told to buy a bag of dry dog food. They had to
choose between a 9-kilogram bag for $5.99 and an 11-kilogram
bag for $8.00. Which bag should they buy? Why?
8. Tawana went food shopping and found that cereal was on sale.
She decided to buy the 250-gram box for $1.99 instead of the
425-gram box for $2.50. Give reasons why Tawana bought the
250-gram box instead of the 425-gram box.
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Chapter 15 • Resources
193
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Date
CHAPTER 15
Challenge • Estimating Measurement
194
Lesson 15.6
Lyle works for a store. The manager has 12 signs that he wants
Lyle to attach to 12 items in a store display. The only way
that Lyle can decide which sign goes next to which item is by
the measurement written on the sign. Help Lyle place each
sign on the appropriate item.
Write the letter of the measurement next to the number of the
item it best describes.
1. 10 large apples
a. 56.8 liters
2. bottle of soda
b. 1 liter
3. ladder
c. 425.3 grams
4. roll of kite string
d. 3.6 kilograms
5. carton of milk
e. 1,814.4 kilograms
6. 3 large cans of paint
f. 22.7 kilograms
7. can of beans
g. 453.6 grams
8. new car
h. 226.8 grams
9. television screen
10. small container of yogurt
194
i. 1.9 liters
j. 33 centimeters
11. loaf of bread
k. 45.7 meters
12. large bag of dog food
l. 1.8 meters
Chapter 15 • Resources
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CHAPTER 15
Chapter 15 Test A • Metric Measurement
195
Answer each question.
1. How many centimeters are in a meter?
2. How many grams are in a kilogram?
3. How much of a liter is a milliliter?
4. How much of a gram is a centigram?
Change each measurement.
5. 6 meters 7. 5,800 milliliters 9. 1.2 liters 11. 3,200 millimeters 13. 4,400 grams centimeters
liters
6. 3,400 grams 8. 9.2 kilometers 10. 500 centigrams deciliters
meters
kilograms
12. 7 kiloliters 14. 6,000 centimeters kilograms
meters
grams
liters
meters
Complete each sentence.
15. 10 centimeters is about
17. 2 miles is about
inches.
kilometers.
16. 5 liters is about
18. 5 ounces is about
quarts.
grams.
Solve. Show your work.
19. Ben bought 1.8 kilograms of bran flakes, corn flakes, and puffed
rice. There were 570 grams of bran flakes and 650 grams of corn
flakes. How many grams of puffed rice did he buy?
20. The combined heights of Trey, Toni, and Bo is 560 centimeters.
Trey is 1.9 meters tall, and Toni is 1.7 meters tall. How tall is
Bo in meters?
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Chapter 15 • Resources
195
Name
Date
CHAPTER 15
Chapter 15 Test B • Metric Measurement
196
Answer each question.
1. How many meters are in a kilometer?
2. How many centigrams are in a gram?
3. How much of a meter is a centimeter?
4. How much of a kiloliter is a liter?
Change each measurement.
5. 1.4 meters 7. 3,500 milligrams 9. 4.2 grams 11. 5,600 millimeters 13. 8,100 liters 6. 9,000 liters centimeters
grams
8. 8 kilometers 10. 200 centiliters decigrams
meters
12. 5 kilograms 14. 1,500 centimeters kiloliters
kiloliters
dekameters
liters
grams
meters
Complete each sentence.
15. 3 inches is about
17. 4.8 kilometers is about
centimeters.
miles.
16. 8 quarts is about
liters.
18. 56 grams is about
ounces.
Solve. Show your work.
19. Alfie bought 4.5 liters of milk, orange juice, and lemonade. There
were 1,400 milliliters of milk and 2,300 milliliters of orange juice.
How many milliliters of lemonade did he buy?
20. The combined weight of Mike, Marissa, and Paul is
232,000 grams. Mike weighs 89 kilograms, and Marissa weighs
68 kilograms. How much does Paul weigh in kilograms?
196
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Answer Key
UNIT 4 MEASUREMENT AND
GEOMETRY
194 Challenge • Estimating Measurement
Chapter 15 Metric Measurement
195 Chapter 15 Test A • Metric Measurement
187 Vocabulary • Metric Measurement
1. 100 centimeters1 meter 2. 1,000 grams
1 kilogram 3. 1 liter1,000 milliliters 4. 1 gram
100 centigrams 5. 600 6. 3.4 7. 5.8 8. 9,200
9. 12 10. 5 11. 3.2 12. 7,000 13. 4.4 14. 60
1
15. 4 16. 5 17. 3.2 18. 19. 140 20. 2 meters
5
196 Chapter 15 Test B • Metric Measurement
1. 1,000 meters1 kilometer 2. 100 centigrams
1 gram 3. .01 meter1 centimeter 4. .001 kiloliter
1 liter 5. 140 6. 9 7. 3.5 8. 800 9. 42 10. 2
11. 5.6 12. 5,000 13. 8.1 14. 15 15. 7.5 16. 8
17. 3 18. 2 ounces 19. 800 milliliters 20. 75 kilograms
1. metric 2. gram 3. meter 4. liter 5. unit price
6. c 7. d 8. e 9. g 10. b 11. a 12. f
188 Review • Length
1. 4,000 2. 700 3. 3,000 4. 5,200 5. 70 6. 310
7. 2 8. 1.4 9. .7 10. 8 11. 1.5 12. 8
189 Review • Mass
1. 12,000 2. 5,800 3. 25 4. 140 5. 600 6. 600
7. 8.8 8. .6 9. 9 10. 3.7 11. 5 12. 2
190 Review • Capacity (Liquid Measure)
1. 8,000 2. 2,800 3. 33,000 4. 510 5. 400
6. 1,200 7. .5 8. 7.9 9. 4.6 10. 25 11. 4
12. 35
1. d 2. b 3. l 4. k 5. i 6. a 7. c 8. e 9. j
10. h 11. g 12. f
191 Review • Problem Solving:
Two-Part Problems
1. 1.75 kilograms 2. 300 meters 3. .9 liters
4. 450 grams 5. 40 rolls of tape
192 Practice • Problem Solving:
Two-Part Problems
1. .59 kilograms 2. 1,500 meters 3. 1 liter
4. 2.2 liters 5. 400 milligrams 6. 1.1 kilometers
193 Math in Your Life • Better Buy
1. 5 L for $4.10 2. 200g for $1.20 3. 500g for $7.80
4. 3 L for $2.28 5. 2.5L for $1.13 6. 3.5L for $2.49
7. 9-kilogram bag; The unit price for the 9-kilogram
bag is about $.67. This is less than the unit price of
$.73 for the 11-kilogram bag. 8. Since the $1.99
cereal cost.0080 per unit and the $2.50 cereal cost
.0059, Tawana did not choose the better buy. Possible
reasons: she didn’t like the $2.50 cereal or she didn’t
have enough money with her.
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Answer Key