Topic 13 Measurement -...

Topic 13

Measurement

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Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. 5

Daily Common Core Review13-1

1. The drawing shows two page numbers near the beginning of a 500-page book.

Which of the following page numbers will be a right-hand page?

A 433

B 318

C 240

D 134

2. Replace each addend with 0, 1 _ 2 , or 1. What is the best estimate for the sum of 5 _ 6 + 3 _ 7 ?

A 1

B 1 1 _ 2

C 2

D 2 1 _ 2

3. Over the course of 3 weeks, Anthony kept a table of the height of his radish plant.

RadishHeight(inches)

Week 1 3 _ 8

Week 2 7 _ 8

Week 3 1 1 _ 4

How many inches did the plant grow between the second and third weeks?

A 7 __ 8 inch C 4 __

8 inch

B 3 __ 4 inch D 3 __

8 inch

4. On August 27, 2007, Fort Lauderdale had 0.37 inch of rain. The normal amount of rain expected for one day at that time of year is 0.25 inch. Find the difference of 0.37 – 0.25.

5. What customary unit of measure should you use to measure the height of a computer screen? Explain your reasoning.

2 3

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Practice

13-1Converting Customary Units of LengthConvert each unit.

1. 12 yd = in. 2. 30 ft = yd

3. 75 ft = in. 4. 10 ft 7 in. = in.

5. 6 mi = ft 6. 2 mi = yd

Write >, =, or < for each ○.

7. 64 in. ○ 5 ft 8. 2 mi ○ 3,333 yd 9. 36 yd 2 ft ○ 114 ft 2 in.

The Statue of Liberty was a gift to the United States from the people of France. Some of the dimensions of the statue are shown here.

Measurements of the Statue of Liberty

Height from base of statue to the torch 151 ft 1 in.

Length of hand 16 ft 5 in.

Length of index finger 8 ft

Length of nose 4 ft 6 in.

Thickness of right arm 12 ft

10. What is the height, from the base of the statue to the torch, in inches?

11. What is the thickness of the statue’s right arm in yards?

12. Which measure is less than 435 inches?

A 37 ft B 36 ft 10 in. C 12 yd 3 in. D 12 ft 3 in.

13. Explain how you can find the number of feet in 40 yards.

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3. Four friends each took a different path walking from the drinking fountain to the cypress tree. The table shows the distances that each of them walked. Who walked the farthest distance?

A Rowan

B Janelle

C Domingo

D Lydia

4. WritingtoExplain Jordan is 4 ft 8 in. tall. Her mother is 5 ft 10 in. tall. How much taller is Jordan’s mother than Jordan? Give your answer in feet and inches.

1. Jessie walked 4 miles. How many feet did she walk?

A 21,120 feet

B 15,840 feet

C 7,040 feet

D 5,280 feet

2. How many inches are in 8 yards?

A 384 inches

B 288 inches

C 192 inches

D 96 inches

DistanceWalkedRowan 150 ydJanelle 429 ft 8 in.Domingo 130 yd 2 ftLydia 460 ft

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1. What is the area of this Texas flag?

120 in.

15 ft

A 150 in 2 C 150 f t 2

B 1,800 in 2 D 1,800 f t 2

2. Jennifer opens a box of Tasty Crunch cereal. The box is 25 cm 10 cm 40 cm. What is the volume of the box?

A 75 c m 3

B 400 c m 3

C 1,000 c m 3

D 10,000 c m 3

3. Kendra has 2 yards 3 inches of ribbon. She needs 5 feet 9 inches for a craft project.

a. Does Kendra have enough ribbon?

b. If so, how many inches of ribbon will she have left over? If not, how many more inches of ribbon does she need?

4. A music store has 895 CDs to put in racks. Each rack holds 24 CDs. How many racks will the store need to hold all the CDs?

5. The map shows a school parking lot.

STAFF STAFF STAFF

What fraction of the parking spaces are set aside for school staff?

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Practice

13-2Converting Customary Units of CapacityConvert each unit.

1. 2 qt pt 2. 5 c pt c

3. 3 gal pt 4. 96 fl oz c

5. 4 qt c 6. 9 pt c

Solve.

7. 5 c 4 fl oz 4 c 3 fl oz

8. 7 gal 2 qt 3 gal 1 qt

9. 6 qt 1 pt 2 qt 1 pt

10. Estimation Estimate the number of pints in 445 ounces.

11. If you needed only 1 c of milk, what is your best choice at the grocery store—a quart container, a pint container, or a 1 _ 2 gal container?

12. Which of the following is equivalent to 1 c?

A 4 fl oz B 2 pt C 8 fl oz D 4 qt

13. Writing to Explain Explain how you would convert a measurement given in ounces into pints.

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1. Tasha has a 40-gallon aquarium. If she uses a pint-size container to fill the aquarium, how many times will she have to fill the container to fill the aquarium?

A 40

B 160

C 320

D 480

2. How many 1-cup servings can be poured from 1 gallon of milk?

A 2

B 4

C 8

D 16

3. WritingtoExplain Sadie is making punch for her soccer team picnic. She uses 8 quarts of lemon-lime soda, 4 pints of vanilla ice cream, and 8 cups of orange juice.

a. How many quarts of vanilla ice cream does she use?

b. How many quarts of orange juice does she use?

c. How many quarts of punch will she have?

d. How many gallons of punch will she have?

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1. �Gillian�wrote�a�10-page�report�on�the�Florida�Everglades�in�3�days.�On�the�first�day�she�wrote�3��1�_�2��pages.�On�the�second�day�she�wrote�4��1�_�3��pages.�How�many�pages�did�she�write�on�the�third�day?

A 7��5�__�6��

B 2��1�__�6��

C 3��1�__�6��

D 3

2. �Tomas�is�using�this�recipe�to�make�oatmeal.

�If�he�wants�to�make�enough�oatmeal�to�serve�4�people,�how�many�cups�of�water�will�Tomas�need�to�use?

A 1��1�__�3��cups

B 2��2�__�6��cups

C2��2�__�3��cups

D ��4�cups

3. �Which�of�the�following�is�NOT�

equivalent�to�2��1�__�10��?�

A �� 11�___�10

��

B 2��2�___�20

��

C �� 21�___�10

��

D �� 42�___�20

��

4. �What�is�the�value�of�x�in�this�equation?�4,000�+�x�+�30�+�7�=�4,637

5. �Look�at�the�recipe�for�oatmeal�in�Exercise�2.�If�you�wanted�to�make�oatmeal�for�only�one�person,�how�many�cups�of�instant�oats�would�you�use?�Explain.

1�cup�instant�oats�

1��1�_�3��cups�water

��2�_�3��cup�milk

1�teaspoon�cinnamon�

Serves�2.

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Practice

13-3Converting Customary Units of WeightConvert each unit of measurement.

1. 8 T = lb 2. 2 1 _ 2 lb = oz

3. 4,000 lb = T 4. 90 lb = oz

Compare. Use >, <, or =.

5. 16 lb 16 oz 6. 1,500 lb 2 T

7. 3 T 5,999 lb 8. 1,600 oz 10 lb

9. 19 lb 300 oz 10. 8 oz 1 __ 2 lb

11. How many ounces of potatoes are in a 5-pound bagof potatoes?

12. Did you know that there is litter in outer space? Humans exploring space have left behind bags of trash, bolts, gloves, and pieces of satellites. There are currently about 4,000,000 pounds of litter in orbit around Earth. About how many tons of space litter is this?

13. Karla bought 2 pounds of red beads, 1 3 _ 4 pounds of green

beads, and 10 ounces of string at the craft store. How much

do Karla’s supplies weigh in all?

14. Which of the following is equivalent to 92 1 _ 2 pounds?

A 1,472 oz B 1,480 oz C 1,479 oz D 1,488 oz

15. How much is 3 1 _ 2 pounds written as a combination of whole pounds and whole ounces? Explain how you found your answer.

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1. Delia’s family car weighs 2 tons. How many ounces does the car weigh?

A 320 oz

B 32,000 oz

C 64,000 oz

D 320,000 oz

2. When Leah weighed her cat it was 8 pounds. How many ounces in all did the cat weigh?

A 112 oz

B 128 oz

C 224 oz

D 280 oz

3. Students visited Tampa’s Lowry Park Zoo where they learnedthat a large white rhinoceros could weigh as much as 6,000 pounds. Which measurement is greater than 6,000 pounds?

A 6 tons

B 3 tons

C 2 tons

D 1 ton

4. WritingtoExplain Aaron bought 10 ounces of dried bananas, 20 ounces of raisins, and 18 ounces of nuts to make a trail mix. What is the total weight in pounds of the trail mix? Show your work.

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1. �The�total�area�of�the�state�of�Florida�is�65,754.59�square�miles.�What�is�this�number�rounded�to�the�nearest�thousands�place?�

A 65,000

B 65,754.60

C 66,000

D 66,800

2. �Which�is�the�most�accurate�measurement�for�the�line�segment?

A 1�inch

B 1��1�__�4��inches

C 1��1�__�2��inches

D 1��3�__�4��inches

3. �Which�of�the�following�could�be�a�

common�denominator�for��1�__�8��and��5�__�

6��?�

A 14� C 26

B 24� D 60

4. �Seven�of�the�12�students�in�Ms.�Burns’s�dance�class�are�in��fifth�grade.�The�rest�of�the��students�are�in�sixth�grade.��What�fraction�of�Ms.�Burns’s�students�are�in�sixth�grade?�

A ��5�___�12

��

B ��6�___�12

��

C ��7�___�12

��

D ��12�___�12

��

5. �Ethanol�is�not�as�energy�efficient�as�gasoline.�As�much�as�0.2�of�the�U.S.�corn�crop�has�been�used�to�produce�ethanol.�Express�0.2�as��a�percent.

6. �Deb’s�telephone�bill�is�t�dollars.�Her�electric�bill�is�$97�more��than�her�telephone�bill.�Write��an�expression�that�tells�the��amount�of�the�electric�bill.

�Explain�how�to�find�the�amount�of�Deb’s�electric�bill�if�you�know�her�telephone�bill�is�$41.

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Practice

13-4Converting Metric Units of LengthConvert each unit.

1. 25 m ∙ cm 2. 345 cm ∙ m

3. 4.5 m ∙ cm 4. 10 m ∙ mm

5. 987 mm ∙ cm 6. 4,000 mm ∙ cm

7. 4.2 km ∙ m 8. 3 km ∙ m

9. List three measurements with different units that are equalto 5 meters.

Write >, ∙, or < for each .

10. 12 cm 98 mm 11. 3 km 5,000 m

12. 800 cm 8 m 13. 38.5 mm 10 cm

14. 9,000 cm 2 km 15. 1,000,000 mm 100 m

Mount Saint Helens, a volcano, erupted on May 18, 1980. Before the eruption, Mount St. Helens was 2,950 meters high. After the eruption, it was 2,550 meters high.

16. What is the difference in height of Mount St. Helens before and after the eruption, expressed in meters?

17. Before the eruption, how many kilometers high was Mount St. Helens?

18. Which of the following is equal to 2 meters?

A 200 mm B 20 cm C 200 km D 2,000 mm

19. Explain how you would convert 4 m to millimeters.

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3. Which of these number sentences is NOT true?

A 4,000,000 millimeters = 4 kilometers

B 300 millimeters > 3 centimeters

C 5 meters > 5,000 millimeters

D 2,000 meters < 20 kilometers

4. WritingtoExplain Ellie and her family drove 386 kilometers one day. How many meters is this? How many centimeters is this? How many millimeters is this? Show your work.

1. The distance between Daytona Beach and Tallahassee is about 143,000 m. How many kilometers is this?

A 143 kilometers

B 1,430 kilometers

C 14,300 kilometers

D 143,000 kilometers

2. A type of earthworm can grow to be 30 centimeters long. How many millimeters is this?

A 3 millimeters

B 30 millimeters

C 300 millimeters

D 3000 millimeters

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1. This summer, Gina rode in a 20,000-meter bicycle race. How many kilometers did Gina race?

A 2 km

B 20 km

C 200 km

D 2,000 km

2. Students make a rectangular banner that is 30 inches wide and 84 inches long.

What is the perimeter of the banner?

A 5,040 in.

B 2,520 in.

C 228 in.

D 114 in.

3. Two fences meet to make an obtuse angle. Which best tells the measure of this angle?

A Exactly 90°

B Exactly 180°

C Greater than 0° and less than 90°

D Greater than 90° and less than 180º

4. The Hobby-Eberly Telescope in the Davis Mountains of western Texas is 920 centimeters across. What is this length in millimeters?

5. The state of Texas takes up about 7

___ 100 of the total land and water area of the United States. Write this fraction as a decimal.

6. Mr. Lewis’s paycheck is $506.14. After he spends $48.69 of the money on groceries, how much will he have left?

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Practice

13-5Converting Metric Units of CapacityConvert each unit.

1. 5 L mL 2. 13,000 mL L

3. 16 L mL 4. 4,000 mL L

5. 9,000 mL L 6. 8 L mL

7. You are preparing for a breakfast party and need enough milk for 20 people. Each person will drink about 200 mL of milk. Which is the best estimate of the amount of milk you should prepare: 400 mL or 4 L? Why?

Which capacity is most reasonable for each container?

8. coffee mug 300 mL or 3 L

9. vase 20 mL or 2 L

10. cleaning bucket 500 mL or 5 L

11. Which of the following is equal to 6,000 mL?

A 6 L B 60 L C 600 L D 60,000 L

12. Writing to Explain Suppose you have a 100-mL cup, a 300-mL cup, and a 500-mL cup. List two different ways you can measure exactly 1 L.

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1. How many milliliters of water are in a 2-liter bottle of water?

A 20 mL

B 200 mL

C 2,000 mL

D 20,000 mL

2. Which capacity is most reasonable for a pitcher of lemonade?

A 3 mL

B 3 L

C 30 mL

D 30 L

3. A backyard swimming pool holds 29,000,000 mL of water. How many liters is this?

A 290,000,000 L

B 2,900,000 L

C 290,000 L

D 29,000 L

4. WritingtoExplain Margo has a rain barrel that holds 150 L of rainwater. She uses the rainwater from the barrel to water her plants. If she gives each plant in her garden 500 mL of water, how many plants can she water with a full rain barrel? Show your work.

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1. �Which�best�describes�the�steps�you�would�take�to�find�the�sum�of��5�_�6��+��1�_�4��?�

A �Find�a�common�denominator,�rename�each�fraction�with�the�common�denominator,�add�the�new�fractions,�simplify.

B �Add�the�numerators,�add�the�denominators,�simplify.

C �Rename�each�fraction�using�the�sum�of�the�denominators�as�the�new�denominator,�add�the�new�fractions,�simplify.

D �Find�the�sum�of�the�numerators,�find�the�difference�of�the�denominators,�simplify.

2. �Matt�has�a�board�that�is�8��1�_�2��feet�long.�Milton’s�board�is�5��7�_�8��feet�long.�How�much�longer�is�Matt’s�board?�

A 2��1�__�8��feet

B 2��3�__�8��feet

C 2��5�__�8��feet

D 3��3�__�8��feet

3. �What�is�the�first�thing�you�should�do�to�evaluate�the�expression��32�+�(17�–�9)�×�4?

A �Evaluate�the�element�with�the�exponent

B Multiply

C Add

D Subtract�inside�the�parentheses

4. �The�record�for�the�longest�dusky�pygmy�rattlesnake�was�2�feet��7�inches.�How�many�total�inches��is�this�length?

5. �Reda�collected�2��1�_�5��pounds�of�aluminum�for�a�recycling�fair.�Jeremy�collected��3�_�5��fewer�pounds�than�Reda.�Let�x�=�the�number�of�pounds�of�aluminum�Jeremy�collected.�Draw�a�picture�and�write�an�equation�to�find�the�number�of�pounds�of�aluminum�Jeremy�collected.�

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Practice

13-6Converting Metric Units of MassConvert each unit of measurement.

1. 15,000 g = kg 2. 285 kg = g

3. 5,000 mg = g 4. 7,000 g = kg

5. 490,000 g = kg 6. 648 g = mg

7. Order the following masses from least to greatest:500 g, 50 kg, 5,000 mg

Compare. Use <, >, or =.

8. 55,000 mg 5 kg 9. 20 g 2 kg

10. 11 g 1,100 mg 11. 4,000 mg 4 g

12. What is the value of x? 40,000 mg = 10x g

A 400 B 40 C 4 D 0.4

13. A recipe that serves two people calls for 1,600 milligrams of baking soda. You want to make enough for 10 people. How much baking soda will you need, in grams?

14. You want to convert 1 kilogram to milligrams. You already know that 1 kilogram = 1,000 grams. Explain how knowing that 1 gram = 1,000 milligrams can help you.

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3. Trevor’s dog has a mass of 8 kilograms. Which measurement is less than 8 kilograms?

A 800,000 g

B 80,000 g

C 8,000 g

D 800 g

4. WritingtoExplain It is recommended that people eat 25,000 mg of fiber each day. Jodi ate a cup of raspberries that had 8 grams of fiber and a cup of oatmeal that had 4 grams of fiber. How many more grams of fiber does she need to get the recommended daily amount of fiber? Show your work.

1. A large adult kangaroo can have a mass of 90 kilograms. How many grams is this?

A 90 g

B 900 g

C 9,000 g

D 90,000 g

2. Jason buys 15,000 grams of potatoes at the grocery store. How many kilograms of potatoes does he buy?

A 15 kg

B 150 kg

C 1,500 kg

D 15,000 kg

Q 13•6

ropeslegs legs

seats

overhead support

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1. The mass of Kelvin’s soccer ball is 453 grams. What is this mass in milligrams?

A 4,530 mg

B 45,300 mg

C 453,000 mg

D 4,530,000 mg

2. The drawing shows a playground swing set.

Which are parallel?

A The seats and the legs

B The ropes and the legs

C The seats and the overhead support

D The overhead support and the ropes

3. The floor of Veronica’s tree house is f feet above the ground. The roof is 23 feet above the ground. Which expression gives the height of the tree house from floor to roof?

A f 2 23

B f 4 23

C 23 2 f D 23 4 f

4. The table shows the mass of three dogs.

List the dogs in order from least to greatest mass.

5. Diana buys 30 corn tortillas. She uses all but 12 of the tortillas to make enchiladas. What fraction of the tortillas did Diana use? Write your answer in simplest form.

6. An art teacher has 15 students and 125 artist’s markers. The teacher gives each student the same number of markers. What is the least number of markers the teacher can have left over?

Dog’sName Mass

Checkers 16,000,000 mgFala 18 kg

Petey 5,000 g

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Practice

13-7Problem Solving: Multiple-Step ProblemsAnswer the hidden question or questions. Then solve.

1. Isabel took 24 minutes to run around the track 6 times. John took 3 minutes to run around the track once. Which student was running faster?

2. Nancy is saving $2 from her allowance every week. Marco is saving $1 the first week, $2 the second week, $3 the third week, and so on. At the end of 10 weeks, who will have saved more money? How much more?

3. For every 3 cans of vegetables purchased, you get 1 free can. Tessie went home with 32 cans of vegetables. How many did she have to pay for?

A 32 B 24 C 16 D 8

4. Writing to Explain Badal has 120 cm3 of water. He wants to pour it into a rectangular vase that is 4 cm high, 4 cm wide, and 5 cm long. Can he pour all the water into the vase? Explain.

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1. Estimation Ann is putting carpet in a room that is 12 feetwide and 10 feet long. The carpet costs $3.00 per square foot. How much will the carpet for the room cost?

A $120.00

B $240.00

C $320.00

D $360.00

2. Darin has a rectangular vegetable garden. It is 5 yards long and 8 feet wide. What is the perimeter of his vegetable garden?

A 46 ft

B 46 yd

C 23 ft

D 23 yd

3. WritingtoExplain Paul is spreading grass seed on an area of his lawn that is 9 feet wide and 10 feet long. A bag of grass seed covers 15 square feet. How many bags of seed will Paul need to cover the area? What is the hidden question? What is the answer to the hidden question? Why do you need this answer to solve the problem?

Q 13•7

Topic 13 Measurement -...

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