Refer to our Texas Go Math Grade 4 Answer Key Pdf to score good marks in the exams. Test yourself by practicing the problems from Texas Go Math Grade 4 Lesson 15.6 Answer Key Metric Units of Length.
Texas Go Math Grade 4 Lesson 15.6 Answer Key Metric Units of Length
Essential Question
How can you convert metric units of length?
Answer: To convert a smaller unit to a larger unit (eg to ), divide it by the number of smaller units which are needed to make. To convert from a larger unit to a smaller one, multiply. To convert from a smaller unit to a larger one, divide.
Investigate
Materials
- ruler (meter)
- scissors
- tape
Meters (in), decimeters (dm), centimeters (cm), and millimeters (mm) aie all metric units of length.
Build a meterstick to show how these units are related.
A. Cut out the meterstick strips.
Answer:
1 meter = 10 decimeter
B. Place the strips end-to-end to build 1 meter. Tape the strips together.
Answer:
10 decimeter strips to make 1 meter.
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.
Answer:
1 meter is 10 times as long as 1 decimeter.
1 decimeter is 10 times as long as 1 centimeter.
1 centimeter is 10 times as long as 1 millimeter.
Describe the pattern you see.
Answer:
Each is multiplied with 10
Math Idea: If you lined up 1,000 metersticks end-to-end, the length of the metersticks would be 1 kilometer.
H.O.T. Apply What operation could you use to find how many centimeters are in 3 meters? Explain.
Answer:
1 meter = 100 centimeters
3 x100 = 300
Multiplication operation is used.
Make 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
Each decimeter is
___________ or ___________ of a meter.
Answer: Each decimeter is
0.1 or 1⁄10 of a meter.
1 meter = 100 centimeters
Each centimeter is
___________ or ___________ of a meter.
Answer:
Each centimeter is
0.01 or 1⁄100 of a meter.
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.
Answer:
A length of 51 centimeters is 0.51 or 51⁄100 of a meter.
A length of 8 decimeters is 0.8 or 8⁄10 of a meter.
A length of 82 centimeters is 0.82 or 82⁄100 of a meter.
Math Talk
Mathematical Processes
Explain how you are able to locate and write decimeters and centimeters as parts of a meter on the meterstick.
Answer:
1 meter is 10 times as long as 1 decimeter.
1 decimeter is 10 times as long as 1 centimeter.
1 centimeter is 10 times as long as 1 millimeter.
By identifying the lengths.
We are able to locate and write decimeters and centimeters as parts of a meter on the meterstick
Share and Show
Complete.
Question 1.
2 meters = _________ centimeters
Answer: 200
Explanation:
1 meter = 100 centimeters
2 meters = 2 x 100 centimeters = 200 centimeters
Question 2.
3 centimeters = _________ millimeters
Answer: 30
Explanation:
1 centimeter = 10 millimeters
3 centimeters = 3 x 10 millimeters= 30 millimeters
Question 3.
5 decimeters = _________ centimeters
Answer: 50
Explanation:
1 decimeters = 10 centimeters
5 decimeters = 5 x 10 centimeters= 50 centimeters
Describe the length in meters. Write your answer as a fraction and as a decimal.
Question 4.
65 centimeters = _________ or _________ meter
Answer: 0.65 or 1⁄65 meter
Explanation:
1 meter = 100 centimeters
1 centimeter = 1⁄100 meter
65 centimeters = 65⁄100 meter= 0.65 meter
Question 5.
47 centimeters = _________ or _________ meter
Answer: 0.47 or 47⁄100 meter
Explanation:
1 meter = 100 centimeters
1 centimeter = 1⁄100 meter
47 centimeters = 47⁄100 meter= 0.47 meter
Question 6.
9 decimeters = _________ or _________ meter
Answer: 0.9 or 9⁄10 meter
Explanation:
1 meter = 10 decimeters
1 decimeter= 1⁄10 meter
9 decimeters = 9⁄10 meter= 0.9 meter
Question 7.
2 decimeters = _________ or _________ meter
Answer:0.9 or 2⁄10 meter
Explanation:
1 meter = 10 decimeters
1 decimeter= 1⁄10 meter
2 decimeters = 2⁄10 meter= 0.2 meter
Problem Solving
Question 8.
H.O.T. What’s the Error? Julianne’s desk is 75 centimeters long. She says her desk is 7.5 meters long. Describe her error.
Answer: its not 7.5 meter long. it is 0.75 meter long.
Explanation:
1 meter = 100 centimeters
1 centimeter = 1⁄100 meter
75 centimeters = 75⁄100 meter= 0.75 meter
Question 9.
H.O.T. 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.
Answer: 10 stripes
Explanation:
1 meter = 10 decimeters
1 decimeter= 1⁄10 meter
2 decimeters = 2⁄10 meter
So Every 2⁄10 meter, she changes the color of the yarn to make stripes. So 5 stripes will come in meter blanket.
For 2 meters , 2 x 5 = 10 stripes
H.O.T. Pose a Problem
Question 10.
Multi-Step Aruna was writing a report on pecan trees. She made the table of information to the right.
Write a problem that can be solved by using the data.
Answer:
Describe how you could change the problem by changing a unit in the problem. Then solve the problem.
Answer:
If I change 30 as 25
the length will be changed
25 x 100 = 2500 centimeters
Daily Assessment Task
Fill in the bubble completely to show your answer.
Question 11.
A length of 1 millimeter is what part of a centimeter?
(A) \(\frac{1}{10}\)
(B) \(\frac{1}{1,000}\)
(C) \(\frac{1}{100}\)
(D) \(\frac{1}{10,000}\)
Answer: A
Explanation:
1 centimeter = 10 millimeters
1 millimeter = 1⁄10 centimeter
Question 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
Answer: D
Explanation:
1 meter = 10 decimeters
40 meters = 40 x 10 decimeters = 400 decimeters
Question 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
(B) 41
(C) 4
(D) 40
Answer: D
Explanation:
1 meter = 100 centimeters
4 meter = 400 centimeters
1 centimeter = 1⁄100 meter
10 centimeter = 1⁄10 meter
So she will plan10 for each meter. So 4 x 10 = 40
TEXAS Test Prep
Question 14.
Lucille runs the 50-meter dash in her track meet. How many millimeters long is the race?
(A) 500 millimeters
(B) 50,000 millimeters
(C) 5,000 millimeters
(D) 500,000 millimeters
Answer: B
Explanation:
1 meter = 1000 millimeters
50-meter = 50 x 1000= 50,000 millimeters
Texas Go Math Grade 4 Lesson 15.6 Homework and Practice Answer Key
Complete.
Question 1.
3 meters = ____________ centimeters
Answer: 300
Explanation
1 meter = 100 centimeters
3 meters = 3 x 100 centimeters= 300 centimeters
Question 2.
4 centimeters = ____________ millimeters
Answer: 40
Explanation:
1 centimeters = 10 millimeters
4 centimeters = 40 millimeters
Question 3.
2 decimeters = ____________ centimeters
Answer: 20 centimeters
Explanation:
1 decimeter = 10 centimeters
2 decimeters = 2 x 10 =20 centimeters
Question 4.
5 meters = ____________ decimeters
Answer: 50
Explanation:
1 meter = 10 decimeters
5 meters = 5 x 10 = 50 decimeters
Question 5.
600 centimeters = ____________ meters
Answer: 6
Explanation
1 meter = 100 centimeters
600 centimeters= 600⁄100 meters= 6 meters
Describe the length in meters. Write your answer as a fraction and as a decimal.
Question 6.
38 centimeters = ____________ or ____________meters
Answer: 0.38 or 38⁄100 meters
Explanation:
1 meter = 100 centimeters
38 centimeters = 0.38 or 38⁄100 meters
Question 7.
91 centimeters = ____________ or ____________ meters
Answer: 0.91 or 91⁄100 meters
Explanation:
1 meter = 100 centimeters
91 centimeters = 0.91 or 91⁄100 meters
Problem Solving
Question 8.
The magazine Barbara is reading is 25 centimeters long. She says it is 0.25 decimeters long. Is she collect? Explain.
Answer: She is wrong. Correct is 2.5 decimeters is correct.
Explanation:
1 decimeter = 10 centimeters
1 centimeter = 1⁄10 decimeter = 0.1 decimeter
25 centimeters = 25⁄10 decimeter = 2.5 decimeter
Question 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.
Answer: 15
Explanation:
10 decimeters= 1 meter
1 decimeter = 1⁄10 meter
each board is 2 decimeter wide. so 5 boards for each meter.
5 x 3 = 15 boards
Question 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 horn a strip 20 centimeters wide and 5 meters long? Explain.
Answer: 25 quilts
Explanation:
1 meter = 100 centimeters
20 centimeters = 20⁄100 meters= 1⁄5 meter.
So 5 quilts make each meter.
So 5 quilts x 5 meter = 25 quilts
Lesson Check
Fill in the bubble completely to show your answer.
Question 11.
What fraction of a meter is 1 centimeter?
(A) \(\frac{1}{1,000}\)
(B) \(\frac{1}{10}\)
(C) \(\frac{1}{10,000}\)
(D) \(\frac{1}{100}\)
Answer: D
Explanation:
1 meter = 100 centimeters
1 centimeter = 1⁄100 meter
Question 12.
A stamp in Sam’s collection is 3 centimeters wide. How many millimeters wide is the stamp?
(A) 0.3
(B) 30
(C) 3,000
(D) 300
Answer: B
Explanation:
1 centimeters = 10 millimeters
3 centimeters = 3 x 10 = 30 millimeters
Question 13.
Pete’s dog is 58 centimeters tall. What is the dog’s height in meters?
(A) 5.8 meters
(B) 0.58 meters
(C) 50.8 meters
(D) 580 meters
Answer: B
Explanation:
100 centimeters = 1 meter
1 centimeters = 1⁄100 meter
58 centimeters = 58⁄100 meter = 0.58 meter
Question 14.
A worm is 130 millimeters long. How many centimeters long is the worm?
(A) 13
(B) 13,000
(C) 130
(D) 0.13
Answer: A
Explanation:
10 millimeters = 1 centimeter
130 millimeters = 130⁄10 centimeters = 13 centimeters
Question 15.
Multi-Step How many 50 centimeter pieces of ribbon can Casey cut from a roll of ribbon 60 meters long?
(A) 120
(B) 12
(C) 300
(D) 30
Answer: A
Explanation:
1 meter = 100 centimeters
1 meter = 2 x 50 centimeters
So each meter will get 2 pieces.
60 meter = 60 x 20 = 120 pieces
Question 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
Answer: C
Explanation:
1 meter =10 decimeters
40 meter =40 x10 decimeters = 400 decimeters
Each section of the sidewalk is 8 decimeters long
So 400 decimeters ÷8 decimeters = 50