Metric Units of Length

Name
15.6
?
Geometry and
Measurement—4.8.A,
4.8.B
Also 4.8.C
MATHEMATICAL PROCESSES
4.1.C, 4.1.D, 4.1.F
Metric Units of Length
Essential Question
How can you convert metric units of length?
Investigate
Investigate
Materials ■ ruler (meter) ■ scissors ■ tape
Meters (m), decimeters (dm), centimeters (cm), and
millimeters (mm) are all metric units of length.
Build a meterstick to show how these units
are related.
A. Cut out the meterstick strips.
B. Place the strips end-to-end to build 1 meter.
Tape the strips together.
C. Look at your meter strip. What patterns do
you notice about the sizes of the units?
1 meter is _ times as long as 1 decimeter.
1 decimeter is _ times as long as 1 centimeter.
1 centimeter is _ times as long as 1 millimeter.
Describe the pattern you see.
Math Idea
If you lined up 1,000
metersticks end-to-end, the
length of the metersticks
would be 1 kilometer.
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Apply What operation could you use to find how
many centimeters are in 3 meters? Explain.
Module 15
549
Make
Make Connections
Connections
You can use different metric units to describe the same metric
length. For example, you can measure the length of a book as
3 decimeters or as 30 centimeters. Since the metric system is
based on the number 10, decimals or fractions can be used to
describe metric lengths as equivalent units.
Think of 1 meter as one whole. Use your meterstick to write
equivalent units as fractions and decimals.
1 meter = 10 decimeters
1 meter = 100 centimeters
Each decimeter is
Each centimeter is
_ or _ of a meter.
_ or _ of a meter.
Math Talk
Complete the sentence.
• A length of 51 centimeters is _ or _ of a meter.
• A length of 8 decimeters is _ or _ of a meter.
• A length of 82 centimeters is _ or _ of a meter.
Share
Share and
and Show
Show
Complete.
1. 2 meters = _ centimeters
2. 3 centimeters = _ millimeters
Mathematical Processes
Explain how you are able
to locate and write
decimeters and centimeters
as parts of a meter on
the meterstick.
Metric Units of Length
1 centimeter (cm) = 10 millimeters (mm)
1 decimeter (dm) = 10 centimeters
1 meter (m) = 10 decimeters
1 meter (m) = 100 centimeters
1 meter (m) = 1,000 millimeters
3. 5 decimeters = _ centimeters
4. 65 centimeters = _ or _ meter
5. 47 centimeters = _ or _ meter
6. 9 decimeters = _ or _ meter
7. 2 decimeters = _ or _ meter
550
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Describe the length in meters. Write your answer
as a fraction and as a decimal.
Name
Problem
Problem Solving
Solving
8.
What’s the Error? Julianne’s desk is
75 centimeters long. She says her desk is 7.5 meters long.
Describe her error.
9.
Communicate Multi-Step Alexis is knitting
a blanket 2 meters long. Every 2 decimeters, she changes
the color of the yarn to make stripes. How many stripes will
the blanket have? Explain.
Pecan Tree
Average Measurements
Pose a Problem
Length of nuts
3 cm to 5 cm
Height
21 m to 30 m
She made the table of information to the right.
Width of trunk
18 dm
Write a problem that can be solved by using the data.
Width of leaf
10 cm to 20 cm
10. Multi-Step Aruna was writing a report on pecan trees.
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Pose a problem.
Solve your problem.
• Describe how you could change the problem by changing
a unit in the problem. Then solve the problem.
Module 15 • Lesson 6 551
Mathematical Processes
M
Model ¥ Reason ¥ Communicate
M
Daily
Daily Assessment
Assessment Task
Task
Fill in the bubble completely to show your answer.
11. A length of 1 millimeter is what part of a centimeter?
A
1
__
B
1
____
C
1
___
D
1
_____
10
1,000
100
10,000
12. Halle buys a spool of thread containing 40 meters of thread.
How many decimeters of thread are on the spool?
A
4,000 decimeters
B
4 decimeters
C
40,000 decimeters
D
400 decimeters
13. Multi-Step Mia plants flowers in a row along the border of her
garden. The border is 4 meters long. She plants a flower at one
end of the border and then another flower every 10 centimeters.
How many flowers does Mia plant?
A
9
C
4
B
41
D
40
TEXAS Test Prep
14. Lucille runs the 50-meter dash in her track meet. How many
552
A
500 millimeters
B
50,000 millimeters
C
5,000 millimeters
D
500,000 millimeters
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millimeters long is the race?
H o mewo rk
and Practice
15.6
Geometry and Measurement—4.8.A,
4.8.B Also 4.8.C
MATHEMATICAL PROCESSES 4.1.C, 4.1.D, 4.1.F
Name
Metric Units of Length
Complete.
1. 3 meters = __ centimeters
2. 4 centimeters = __ millimeters
3. 2 decimeters = __ centimeters
4. 5 meters = __ decimeters
Metric Units of Length
1 centimeter (cm) = 10 millimeters (mm)
1 decimeter (dm) = 10 centimeters
1 meter (m) = 10 decimeters
1 meter (m) = 100 centimeters
1 meter (m) = 1,000 millimeters
5. 600 centimeters = __ meters
Describe the length in meters. Write your answer
as a fraction and as a decimal.
6. 38 centimeters = __ or __ meters
7. 91 centimeters = __ or __ meters
Problem
Problem Solving
Solving
8. The magazine Barbara is reading is 25 centimeters long. She says it is
0.25 decimeters long. Is she correct? Explain.
9. Will is building a fence that is 3 meters long. He is using boards that are
2 decimeters wide. How many boards does he need? Explain.
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10. Susan is cutting out squares to make a quilt. Each square is
20 centimeters on a side. How many 20 centimeter squares can
she make from a strip 20 centimeters wide and 5 meters long? Explain.
Module 15 • Lesson 6
553
TEXAS Test Prep
Lesson
Lesson Check
Check
Fill in the bubble completely to show your answer.
A
1
_____
B
1,000
1
___
10
C
D
3 centimeters wide. How many
millimeters wide is the stamp?
A
0.3
1
______
10,000
B
30
1
____
C
3,000
D
300
100
13. Pete’s dog is 58 centimeters tall. What is
14. A worm is 130 millimeters long. How
the dog’s height in meters?
many centimeters long is the worm?
A
5.8 meters
A
13
B
0.58 meters
B
13,000
C
50.8 meters
C
130
D
580 meters
D
0.13
15. Multi-Step How many 50 centimeter
pieces of ribbon can Casey cut from a roll
of ribbon 60 meters long?
554
12. A stamp in Sam’s collection is
A
120
B
12
C
300
D
30
16. Multi-Step A sidewalk is 40 meters
long. Each section of the sidewalk is 8
decimeters long. How many sections of
sidewalk are there?
A
5
B
500
C
50
D
0.5
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11. What fraction of a meter is 1 centimeter?