Convert Units of Measure

Transcription

1 Convert Units of Measure Check your understanding of important skills. Name Measure Length to the Nearest Inch Use an inch ruler. Measure the length to the nearest inch.. about _ inches 2. about _ inches Multiply and Divide by 0, 00, and,000 Use mental math , ,000 5 Choose Customary Units Write the appropriate unit to measure each. Write inch, foot, yard, or mile. 5. length of a pencil 6. length of a football field WITH You can step out distances of 5 feet by using an estimate. Two steps or 2 paces is about 5 feet. Be a Math Detective and act out the directions on the map to find a treasure. About how many feet from start to finish is the path to the treasure? TM GO Online Assessment Options: Soar to Success Math Chapter 0 403

2 Vocabulary Builder Visualize It Sort the review and preview words into the Venn diagram. Review Words Customary Understand Vocabulary Complete the sentences. Metric decimeter gallon gram length liter mass meter mile milligram milliliter millimeter pound ton weight Preview Words. A metric unit of length that is equal to one tenth of a meter is a. capacity dekameter 2. A metric unit of length that is equal to one thousandth of a meter is a. 3. A metric unit of capacity that is equal to one thousandth of a liter is a. 4. A metric unit of length that is equal to 0 meters is a. 5. A metric unit of mass that is equal to one thousandth of a gram is a. 404 GO Online estudent Edition Multimedia eglossary

3 Name Customary Length Essential Question How can you compare and convert customary units of length? Lesson 0. UNLOCK the Problem To build a new swing, Mr. Mattson needs 9 feet of rope for each side of the swing and 6 more feet for the monkey bar. The hardware store sells rope by the yard. How many feet of rope does Mr. Mattson need for the swing? How many feet does Mr. Mattson need for the swing and the monkey bar combined? Mr. Mattson needs to find how many yards of rope he needs to buy. He will need to convert 24 feet to yards. How many groups of 3 feet are in 24 feet? A 2-inch ruler is foot. A yardstick is yard. _ feet 5 yard Use a bar model to write an equation. MODEL RECORD total feet feet in yard total yards So, Mr. Mattson needs to buy _ yards of rope _ 5 _ MATHEMATICAL PRACTICES What operation did you use when you found groups of 3 feet in 24 feet? Do you multiply or divide when you convert a smaller unit to a larger unit? Explain. Chapter 0 405

4 Example between miles and feet. Use the table to find the relationship The distance between the new high school and the football field is 2 miles. How does this distance compare to 0,000 feet? When you convert larger units to smaller units, you need to multiply. Customary Units of Length foot (ft) 5 2 inches (in.) yard (yd) 5 3 ft mile (mi) 5 5,280 ft mile 5,760 yd STEP Convert 2 miles to feet. Think: mile is equal to 5,280 feet. I need to the total number of miles by. total feet in total miles mile feet miles 5 feet STEP 2 Compare. Write,,., or 5. feet 0,000 feet Since is than 0,000, the distance between the new high school and the football field is than 0,000 feet. Example 2 Convert to mixed measures. Mixed measures use more than one unit of measurement. You can convert a single unit of measurement to mixed measures. Convert 62 inches into feet and inches. STEP Use the table. STEP 2 Convert. Think: 2 inches is equal to foot I am changing from a smaller unit to a larger unit, so I. So, 62 inches is equal to _ feet _ inches. total inches in inches foot feet inches 62 4 _ is _ r _ Explain how to convert the mixed measures, 2 yards 2 feet, to a single unit of measurement in feet. How many feet is it? 406

5 Name Share and Show Convert.. 2 mi 5 yd 2. 6 yd 5 ft in. 5 _ ft _ in. On Your Own Convert. MATHEMATICAL PRACTICES Explain how you know when to multiply to convert a measurement ft 5 yd 5. 3 ft 5 in in. 5 ft 7. 6 mi 5 ft ft 5 yd in. 5 _ ft _ in. Practice: Copy and Solve Convert in. 5 n ft. n ft 5 7 yd ft 2. 4 mi 5 n yd in. 5 n ft n in ft 5 n yd n ft yd 2 ft 5 n ft Compare. Write,,., or ft 3 yd 7. 2 mi 0,500 ft 8. 3 yd 2 ft 32 in. Chapter 0 Lesson 407

6 Problem Solving 9. Javon is helping his dad build a tree house. He has a piece of trim that is 3 feet long. How many pieces can Javon cut that are yard long? How much of a yard will he have left over? MATHEMATICAL PRACTICES Model Reason Make Sense 20. Test Prep Katy s driveway is 20 feet long. How many yards long is Katy s driveway? A 60 yards B 40 yards C 20 yards D 0 yards Compare and Contrast When you compare and contrast, you tell how two or more things are alike and different. You can compare and contrast information in a table. Complete the table below. Use the table to answer the questions. Linear Units Yards Feet Inches How are the items in the table alike? How are they different? 22. What do you notice about the relationship between the number of larger units and the number of smaller units as the length increases? 408 FOR MORE PRACTICE: Standards Practice Book, pp. P20 P202

7 Name Customary Capacity Essential Question How can you compare and convert customary units of capacity? Lesson 0.2 UNLOCK the Problem Mara has a can of paint with 3 cups of purple paint in it. She also has a bucket with a capacity of 26 fluid ounces. Will the bucket hold all of the paint Mara has? The capacity of a container is the amount the container can hold. What capacity does Mara need to convert? After Mara converts the units, what does she need to do next? cup (c) 5 _ fluid ounces (fl oz) Use a bar model to write an equation. STEP Convert 3 cups to fluid ounces. MODEL RECORD total fl oz in total cups cup fl oz _ 5 _ STEP 2 Compare. Write,,., or 5. _ fl oz 26 fl oz Since _ fluid ounces is than 26 fluid ounces, Mara s bucket hold all of the paint. What if Mara has 7 cups of green paint and a container filled with 64 fluid ounces of yellow paint? Which color paint does Mara have more of? Explain your reasoning. Chapter 0 409

8 Example Coral made 32 pints of fruit punch for a party. She needs to transport the punch in -gallon containers. How many containers does Coral need? To convert a smaller unit to a larger unit, you need to divide. Sometimes you may need to convert more than once. Customary Units of Capacity cup (c) 5 8 fluid ounces (fl oz) pint (pt) 5 2 cups quart (qt) 5 2 pints gallon (gal) 5 4 quarts Convert 32 pints to gallons. STEP Write an equation to convert pints to quarts. total pints in total pints qt quarts 32 STEP 2 Write an equation to convert quarts to gallons. total quarts total quarts in gal gallons _ So, Coral needs _ -gallon containers to transport the punch. Share and ShowN. Use the picture to complete the statements and convert 3 quarts to pints. a. quart 5 _ pints b. quart is than pint. qt 5 pt pt c. 3 qt _ pt in qt 5 _ pt Convert gal 5 _ pt 3. 5 qt 5 _ pt 4. 6 qt 5 _ c MATHEMATICAL PRACTICES Explain how converting units of capacity is similar to converting units of length. How is it different? 40

9 Name On Your OwnN Convert c 5 _ pt qt 5 _ gal fl oz 5 _ c 8. 4 qt 5 _ c 9. 7 gal 5 _ pt fl oz 5 _ pt Practice: Copy and Solve Convert c 5 n qt pt 5 n fl oz 3. 8 gal 5 n qt fl oz 5 n c 5. 2 gal 5 n pt pt 5 n gal Compare. Write,,., or c 4 pt pt 3 qt qt 80 c gal 50 qt fl oz 8 pt qt 63 c 23. Which of exercises 7 22 could you solve mentally? Explain your answer for one exercise. Chapter 0 Lesson 2 4

10 Problem Solving Show your work. For 24 26, use the table. 24. Complete the table, and make a graph showing the relationship between pints and quarts. Draw a line through the points to make the graph. MATHEMATICAL PRACTICES Model Reason Make Sense Pints Quarts Pints-Quarts Relationship Quarts Pints 25. Describe any pattern you notice in the pairs of numbers you graphed. Write a rule to describe the pattern. 26. Explain how you can use your graph to find the number of quarts equal to 5 pints. 27. Test Prep Shelby made 5 quarts of juice for a picnic. How many cups of juice did Shelby make? A cup B 5 cups C 0 cups D 20 cups 42 FOR MORE PRACTICE: Standards Practice Book, pp. P203 P204

11 Name Weight Essential Question How can you compare and convert customary units of weight? Lesson 0.3 UNLOCK the Problem Hector s school is having a model rocket competition. To qualify, each rocket must weigh 4 pounds or less. Hector s unpainted rocket weighs 62 ounces. What is the weight of the most paint he can use for his model rocket to qualify for entry? What weight does Hector need to convert? After Hector converts the weight, what does he need to do next? pound 5 _ ounces Use a bar model to write an equation. STEP Convert 4 pounds to ounces. MODEL RECORD total lb oz in lb total oz l _ l _ STEP 2 Subtract the rocket s weight from the total ounces a rocket can weigh to qualify. So, the weight of the paint can be at most _ ounces for Hector s model rocket to qualify for entry. _ _ MATHEMATICAL PRACTICES How did you choose which operation to use to change from pounds to ounces? Explain. Chapter 0 43

12 Example The rocket boosters for a U.S. space shuttle weigh,292,000 pounds each when the shuttle is launched. How many tons does each rocket booster weigh? Use mental math to convert pounds to tons. STEP Decide which operation to use. Since pounds are smaller than tons, I need to the number of pounds by. Units of Weight pound (lb) 5 6 ounces (oz) ton (T) 5 2,000 lb STEP 2 Break 2,000 into two factors that are easy to divide by mentally. 2, STEP 3 Divide,292,000 by the first factor. Then divide the quotient by the second factor.,292, So, each rocket booster weighs tons when launched. Share and Show N. Use the picture to complete each equation. a. pound 5 _ ounces b. 2 pounds 5 _ ounces c. 3 pounds 5 _ ounces d. 4 pounds 5 _ ounces e. 5 pounds 5 _ ounces Convert lb 5 _ oz 3. 3 T 5 _ lb oz 5 _ lb MATHEMATICAL PRACTICES Explain how you can compare pounds to 75 ounces mentally. 44

13 Name On Your Own Convert T 5 lb 6. 9 T 5 lb 7. 6,000 lb 5 _ T oz 5 _ lb oz 5 _ lb lb 5 _ oz Practice: Copy and Solve Convert.. 23 lb 5 n oz 2. 6 T 5 n lb oz 5 n lb 4. 5 T 5 n lb oz 5 n lb 6. 8 lb 5 n oz Compare. Write,,., or oz 8 lb lb 544 oz 9. 4 lb 229 oz T 32,000 lb 2. 5 lb 79 oz ,000 lb 40 T Problem Solving 23. Explain how you can use mental math to compare 7 pounds to 20 ounces. 24. Test Prep Carlos used 32 ounces of walnuts in a muffin recipe. How many pounds of walnuts did Carlos use? A 8 pounds B 4 pounds C 2 pounds D pound Chapter 0 Lesson 3 45

14 Problem Solving Pose a Problem 25. Kia wants to have 4 pounds of munchies for her party. She has 36 ounces of popcorn and wants the rest to be pretzel sticks. How many ounces of pretzel sticks does she need to buy? 4 pounds = 64 ounces MATHEMATICAL PRACTICES Model Reason Make Sense 36 ounces ounces _ So, Kia needs to buy _ ounces of pretzel sticks. Write a new problem using different amounts of snacks. Some weights should be in pounds and others in ounces. Make sure the amount of snacks given is less than the total amount of snacks needed. Pose a Problem Draw a bar model for your problem. Then solve. Write an expression you could use to solve your problem. Explain how the expression represents the problem. 46 FOR MORE PRACTICE: Standards Practice Book, pp. P205 P206

15 Name Multistep Measurement Problems Essential Question How can you solve multistep problems that include measurement conversions? Lesson 0.4 UNLOCK the Problem A leaky faucet in Jarod s house drips 2 cups of water each day. After 2 weeks of dripping, the faucet is fixed. If it dripped the same amount each day, how many quarts of water dripped from Jarod s leaky faucet in 2 weeks? Use the steps to solve the multistep problem. STEP Record the information you are given. The faucet drips _ cups of water each day. The faucet drips for _ weeks. STEP 2 Find the total amount of water dripped in 2 weeks. Since you are given the amount of water dripped each day, you must convert 2 weeks into days and multiply. cups each day days in 2 weeks total cups 2 3 _ 5 _ The faucet drips _ cups in 2 weeks. Think: There are 7 days in week. STEP 3 Convert from cups to quarts. Think: There are 2 cups in pint. _ cups 5 _ pints There are 2 pints in quart. So, Jarod s leaky faucet drips _ quarts of water in 2 weeks. What if the faucet dripped for 4 weeks before it was fixed? How many quarts of water would have leaked? _ pints 5 _ quarts Chapter 0 47

16 Example A carton of large, Grade A eggs weighs about.5 pounds. If a carton holds a dozen eggs, how many ounces does each egg weigh? STEP In ounces, find the weight of a carton of eggs. Think: pound 5 _ ounces Weight of a carton (in ounces): total lb oz in lb total oz.5 3 _ 5 _ The carton of eggs weighs about _ ounces. STEP 2 In ounces, find the weight of each egg in a carton. Think: carton (dozen eggs) 5 _ eggs Weight of each egg (in ounces): total oz eggs in carton oz of egg 24 4 _ 5 _ So, each egg weighs about _ ounces. Share and ShowN Solve.. After each soccer practice, Scott runs 4 sprints of 20 yards each. If he continues his routine, how many practices will it take for Scott to have sprinted a total of 2 miles combined? 2. A worker at a mill is loading 5-lb bags of flour into boxes to deliver to a local warehouse. Each box holds 2 bags of flour. If the warehouse orders 3 Tons of flour, how many boxes are needed to fulfill the order? Scott sprints yards each practice. Since there are yards in 2 miles, he will need to continue his routine for practices. 3. Cory brings five -gallon jugs of juice to serve during parent night at his school. If the paper cups he is using for drinks can hold 8 fluid ounces, how many drinks can Cory serve for parent night? MATHEMATICAL PRACTICES Explain the steps you took to solve Exercise 2. 48

17 Name On Your OwnN Solve. 4. A science teacher needs to collect lake water for a lab she is teaching. The lab requires each student to use 4 fluid ounces of lake water. If 68 students are participating, how many pints of lake water will the teacher need to collect? 5. A string of decorative lights is 28 feet long. The first light on the string is 6 inches from the plug. If the lights on the string are spaced 4 inches apart, how many lights are there on the string? 6. When Jamie s car moves forward such that each tire makes one full rotation, the car has traveled 72 inches. How many full rotations will the tires need to make for Jamie s car to travel 0 yards? 7. A male African elephant weighs 7 Tons. If a male African lion at the local zoo weighs 40 of the weight of the male African elephant, how many pounds does the lion weigh? 8. An office supply company is shipping a case of wooden pencils to a store. There are 64 boxes of pencils in the case. If each box of pencils weighs 2.5 ounces, what is the weight, in pounds, of the case of wooden pencils? 9. A gallon of unleaded gasoline weighs about 6 pounds. About how many ounces does quart of unleaded gasoline weigh? HINT: quart 5 _ 4 of a gallon Chapter 0 Lesson 4 49

18 MATHEMATICAL PRACTICES Model Reason Make Sense UNLOCK the Problem 0. At a local animal shelter there are 2 small-size dogs and 5 medium-size dogs. Every day, the small-size dogs are each given 2.5 ounces of dry food and the medium-size dogs are each given 8 ounces of the same dry food. How many pounds of dry food does the shelter serve in one day? a. What are you asked to find? b. What information will you use? c. What conversion will you need to do to solve the problem? d. Show the steps you use to solve the problem. e. Complete the sentences. The small-size dogs eat a total of _ ounces of dry food each day. The medium-size dogs eat a total of _ ounces of dry food each day. The shelter serves _ ounces, or _ pounds, of dry food each day.. Test Prep For a class assignment, students are asked to record the total amount of water they drink in one day. Melinda records that she drank four 8-fluid ounce glasses of water and two -pint bottles. How many quarts of water did Melinda drink during the day? A 2 quarts B 4 quarts C 6 quarts D 8 quarts 420 FOR MORE PRACTICE: Standards Practice Book, pp. P207 P208

19 Name Mid-Chapter Checkpoint Vocabulary Choose the best term from the box.. The of an object is how heavy the object is. (p. 43) 2. The of a container is the amount the container can hold. (p. 409) Vocabulary capacity length weight Concepts and Skills Convert mi 5 yd qt 5 gal 5. 9 T 5 lb oz 5 lb 7. 4 ft 5 _ yd _ ft 8. pt 5 fl oz Compare. Write,,., or fl oz 3 c lb 384 oz. 8 yd 288 in. Solve. 2. A standard coffee mug has a capacity of 6 fluid ounces. If Annie needs to fill 26 mugs with coffee, how many total quarts of coffee does she need? Chapter 0 42

20 Fill in the bubble completely to show your answer. 3. The length of a classroom is 34 feet. What is this measurement in yards and feet? A 7 yards 0 feet B yards foot C 8 yards 2 feet D 5 yards 4 feet 4. Charlie s puppy, Max, weighs 8 pounds. How many ounces does Max weigh? A B 24 ounces 88 ounces C 24 ounces D 28 ounces 5. Milton purchases a 5-gallon aquarium for his bedroom. To fill the aquarium with water, he uses a container with a capacity of quart. How many times will Milton fill and empty the container before the aquarium is full? A 0 B 5 C 20 D Sarah uses a recipe to make 2 gallons of her favorite mixed-berry juice. The containers she plans to use to store the juice have a capacity of pint. How many containers will Sarah need? A 4 B 8 C 0 D 6 7. The average length of a female white-beaked dolphin is about inches. What is this length in feet and inches? A 9 feet 2 inches B 9 feet 3 inches C 0 feet 0 inches D 0 feet 3 inches 422

21 Name Metric Measures Essential Question How can you compare and convert metric units? Lesson 0.5 UNLOCK the Problem Using a map, Alex estimates the distance between his house and his grandparent s house to be about 5,000 meters. About how many kilometers away from his grandparent s house does Alex live? Underline the sentence that tells you what you are trying to find. Circle the measurement you need to convert. The metric system is based on place value. Each unit is related to the next largest or next smallest unit by a power of 0. One Way Convert 5,000 meters to kilometers. kilo- (k) hecto- (h) deka- (da) meter (m) liter (L) gram (g) deci- (d) centi- (c) milli- (m) Power of 0 Power of 0 Power of 0 STEP Find the relationship between the units. Meters are _ powers of 0 smaller than kilometers. There are _ meters in kilometer. STEP 2 Determine the operation to be used. STEP 3 number of meters I am converting from a unit to a unit, so I will. Convert. 5,000 l meters in kilometer _ 5 number of kilometers _ So, Alex s house is _ kilometers from his grandparent s house. MATHEMATICAL PRACTICES Chose two units in the chart. Explain how you use powers of 0 to describe how the two units are related. Chapter 0 423

22 Another Way Use a diagram. Jamie made a bracelet.8 decimeters long. How many millimeters long is Jamie s bracelet? Convert.8 decimeters to millimeters. kilo- hecto- dekameter liter gram 8 0 deci- centi- milli- STEP Show.8 decimeters. Since the unit is decimeters, place the decimal point so that decimeters are the whole number unit. STEP 2 Convert. Cross out the decimal and rewrite it so that millimeters will be the whole number unit. Write zeros to the left of the decimal point as needed to complete the whole number. STEP 3 Record the value with the new units..8 dm 5 _ mm So, Jamie s bracelet is _ millimeters long. Try This! Complete the equation to show the conversion. A Convert 247 milligrams to centigrams, decigrams, and grams. Are the units being converted to a larger unit or a smaller unit? Should you multiply or divide by powers B Convert 3.9 hectoliters to dekaliters, liters, and deciliters. Are the units being converted to a larger unit or a smaller unit? Should you multiply or divide by powers of 0 to convert? 247 mg l 0 5 _ cg 247 mg l 00 5 _ dg 247 mg l,000 5 _ g of 0 to convert? 3.9 hl l 0 5 _ dal 3.9 hl l 00 5 _ L 3.9 hl l,000 5 _ dl 424

23 Name Share and ShowN Complete the equation to show the conversion L l 0 5 _ dl 8.47 L l 00 5 _ cl 8.47 L l,000 5 _ ml Think: Are the units being converted to a larger unit or a smaller unit? 2. 9,824 dg l 0 5 _ g 9,824 dg l 00 5 _ dag 9,824 dg l,000 5 _ hg Convert. 3. 4,250 cm 5 _ m 4. 6,000 ml 5 _ L 5. 4 dg 5 _ cg On Your OwnN Convert. MATHEMATICAL PRACTICES Explain how you can compare the lengths 4.25 dm and 4.25 cm without converting kg 5 _ g 7. 5 km 5 _ m mm 5 _ cm 9. 7 g 5 _ mg 0. 6,000 g 5 _ kg.,52 ml 5 _ dl Compare. Write,,., or hg l 3.2 kg 3. 6 km l 660 m ml l 525 cl Chapter 0 Lesson 5 425

24 Problem Solving For 5 6, use the table. 5. Kelly made one batch of peanut and pretzel snack mix. How many grams does she need to add to the snack mix to make 2 kilograms? 6. Kelly plans to take juice on her camping trip. Which will hold more juice, 8 cans or 2 bottles? How much more? MATHEMATICAL PRACTICES Model Reason Make Sense Food for Camping Item Amount can of juice 50 ml bottle of juice 2 L batch of pancakes 200 g peanut & pretzel snack mix,425 g 7. Erin s water bottle holds 600 milliliters of water. Dylan s water bottle holds liter of water. Whose water bottle has the greater capacity? How much greater? 8. Liz and Alana each participated in the high jump at the track meet. Liz s high jump was meter. Alana s high jump was 32 centimeters. Who jumped higher? How much higher? 9. Are there less than million, exactly million, or greater than million milligrams in kilogram? Explain how you know. 20. Test Prep Monica has 426 millimeters of fabric. How many centimeters of fabric does Monica have? A 4,260 centimeters B 42.6 centimeters C 4.26 centimeters D centimeters 426 FOR MORE PRACTICE: Standards Practice Book, pp. P209 P20

25 Name Problem Solving Customary and Metric Conversions Essential Question How can you use the strategy make a table to help you solve problems about customary and metric conversions? PROBLEM SOLVING Lesson 0.6 UNLOCK the Problem Aaron is making fruit punch for a family reunion. He needs to make 20 cups of punch. If he wants to store the fruit punch in gallon containers, how many gallon containers will Aaron need? Use the graphic organizer below to help you solve the problem. gal qt pt c Conversion Table gal qt pt c Read the Problem What do I need to find? I need to find What information do I need to use? I need to use How will I use the information? I will make a table to show the relationship between the.. number of and the number of. Solve the Problem There are _ cups in gallon. So, each cup is _ of a gallon. Complete the table below. c gal 6 8 So, Aaron needs _ gallon containers to store the punch. Will all of the gallon containers Aaron uses be filled to capacity? Explain Multiply by. Chapter 0 427

26 Try Another Problem Sharon is working on a project for art class. She needs to cut strips of wood that are each decimeter long to complete the project. If Sharon has 7 strips of wood that are each meter long, how many -decimeter strips can she cut? m dm cm mm Conversion Table m dm cm mm , , Read the Problem What do I need to find? What information do I need to use? How will I use the information? Solve the Problem So, Sharon can cut _ -decimeter lengths to complete her project. What relationship did the table you made show? MATHEMATICAL PRACTICES Explain how you could use another strategy to solve this problem. 428

27 Name Share and Show. Edgardo has a drink cooler that holds 0 gallons of water. He is filling the cooler with a -quart container. How many times will he have to fill the quart container to fill the cooler? First, make a table to show the relationship between gallons and quarts. You can use a conversion table to find how many quarts are in a gallon. gal qt 4 Then, look for a rule to help you complete your table. number of gallons 3 _ 5 number of quarts Finally, use the table to solve the problem. Edgardo will need to fill the quart container _ times. 2. What if Edgardo only uses 32 quarts of water to fill the cooler. How can you use your table to find how many gallons that is? 3. If Edgardo uses a -cup container to fill the cooler, how will that affect the number of times he has to fill a container to fill the cooler? Explain. Chapter 0 Lesson 6 429

28 On Your Own 4. Jeremy made a belt that was 6.4 decimeters long. How many centimeters long is the belt Jeremy made? MATHEMATICAL PRACTICES Model Reason Make Sense 5. Dan owns 9 DVDs. His brother Mark has 3 more DVDs than Dan has. Their sister, Marsha, has more DVDs than either of her brothers. Together, the three have 35 DVDs. How many DVDs does Marsha have? 6. Kevin is making a picture frame. He has a piece of trim that is 4 feet long. How many 4-inch-long pieces can Kevin cut from the trim? How much of a foot will he have left over? 7. Explain how you could find the number of cups in five gallons of water. 8. Carla uses 2 3_ cups of flour and 3_ cups of sugar 4 8 in her cookie recipe. How many cups does she use in all? 9. Tony needs 6-inch-long pieces of gold chain to make each of 3 necklaces. He has a piece of chain that is 4 _ feet long. How much chain will he have 2 left after making the necklaces? A 6 inches B 2 inches C 8 inches D 24 inches 430 FOR MORE PRACTICE: Standards Practice Book, pp. P2 P22

29 Name Elapsed Time Essential Question How can you solve elapsed time problems by converting units of time? Lesson 0.7 UNLOCK the Problem A computer company claims its laptop has a battery that lasts 4 hours. The laptop actually ran for 200 minutes before the battery ran out. Did the battery last 4 hours? hour 5 _ minutes Think: The minute hand moves from one number to the next in 5 minutes. Convert 200 minutes to hours and minutes. STEP Convert minutes into hours and minutes. total min in min hr hr min 200 min 5 _ hr _ min is _ r _ STEP 2 Compare. Write,,., or 5. _ hr _ min 4 hr Since _ hours _ minutes is 4 hours, the battery last as long as the computer company claims. Try This! Convert to mixed measures. Jill spent much of her summer away from home. She spent 0 days with her grandparents, 9 days with her cousins, and 22 days at camp. How many weeks and days was she away from home? STEP Find the total number of days away. 0 days 9 days 22 days 5 _ days STEP 2 Convert the days into weeks and days. _ 4 7 is _ r _ So, Jill was away from home _ weeks and _ days. Units of Time 60 seconds (s) 5 minute (min) 60 minutes 5 hour (hr) 24 hours 5 day (d) 7 days 5 week (wk) 52 weeks 5 year (yr) 2 months (mo) 5 year 365 days 5 year Chapter 0 43

30 One Way Use a number line to find elapsed time. Monica spent 2 _ 2 hours working on her computer. If she started working at 0:30 A.M., what time did Monica stop working? 0:30 Think: _ 2 hour 5 30 minutes Another Way Use a clock to find elapsed time. Start End So, Monica stopped working at. Try This! Find a start time. Robert s soccer team needs to be off the soccer field by 2:5 P.M. Each game is at most 3_ 4 hours long. What time should the game begin to be sure that the team finishes on time? 4 hour 5 5 minutes, so 3 4 hour 5 _ minutes STEP Subtract the minutes first. STEP 2 Then subtract the hour. 45 minutes earlier is. So, the game should begin at. hour and 45 minutes earlier is. MATHEMATICAL PRACTICES Explain how you could convert 3 hours 45 minutes to minutes. 432

31 Name Share and ShowN Convert min 5 _ hr 2. 8 d 5 _ hr 3. 0 hr 5 _ d _ hr Find the end time. 4. Start time: 9:7 A.M. Elapsed time: 5 hr 8 min End time: MATHEMATICAL PRACTICES Explain how to find how long a movie lasts if it starts at :35 P.M. and ends at 3:40 P.M. On Your OwnN Convert min 5 _ sec min 5 _ hr 7. hr 5 sec 8. 3 yr 5 _ d wk 5 _ yr min 5 _ hr _ min Find the start, elapsed, or end time.. Start time: :38 A.M. Elapsed time: 3 hr 0 min End time: 3. Start time: Elapsed time: 2 _ 4 hr End time: 5:30 P.M. 2. Start time: Elapsed time: 2 hr 37 min End time: :5 P.M. 4. Start time: 7:4 P.M. Elapsed time: End time: 8:50 P.M. Chapter 0 Lesson 7 433

32 Problem Solving MATHEMATICAL PRACTICES Model Reason Make Sense For 5 7, use the graph. 5. Which Internet services downloaded the podcast in less than 4 minutes? Podcast Download Time Top Hat, Which service took the longest to download the podcast? How much longer did it take than Red Fox in minutes and seconds? Internet Service Groove Box Jackrabbit Internet-C Red Fox Which service was faster, Red Fox or Internet-C? How much faster in minutes and seconds? Time (in seconds), Explain how you could find the number of seconds in a full 24-hour day. Then solve. 9. Test Prep Samit and his friends went to a movie at 7:30 P.M. The movie ended at 9:55 P.M. How long was the movie? A 2 hours 25 minutes B 2 hours 5 minutes C hour 25 minutes D hour 5 minutes 434 FOR MORE PRACTICE: Standards Practice Book, pp. P23 P24

33 Name Chapter Review/Test Vocabulary Choose the best term from the box.. A metric unit of mass that is equal to is called a. (p. 423),000 of a gram Vocabulary dekameter milligram millimeter 2. A metric unit for measuring length that is equal to 0 meters is called a. (p. 423) Concepts and Skills Convert oz 5 _ lb 4. 5 kg 5 _ g min 5 _ hr _ min yd 2 feet 5 _ ft Compare. Write,,., or wk 52 d 8. 4 L 3,000 ml in. 2 yd Solve. 0. A girl walks 5,000 meters in one hour. If the girl walks at the same speed for 4 hours, how many kilometers will she have walked? GO Online Assessment Options Chapter Test Chapter 0 435

34 Fill in the bubble completely to show your answer.. Howard cuts 54 centimeters off a -meter board. How much of the board does Howard have left? A 53 centimeters B 53 meters C 46 meters D 46 centimeters 2. Joe s dog has a mass of 28,000 grams. What is the mass of Joe s dog in kilograms? A 2,800 kilograms B C D 280 kilograms 28 kilograms 2.8 kilograms 3. Cathy drank 600 milliliters of water at school and another 400 milliliters at home. How many liters of water did Cathy drink? A,000 liters B C D 00 liters 0 liters liter 4. Mr. Banks left work at 5:5 P.M. It took him _ hours to drive 4 home. At what time did Mr. Banks arrive home? A 6:5 P.M. B 6:30 P.M. C 6:45 P.M. D 7:30 P.M. 436

35 Name Fill in the bubble completely to show your answer. 5. A turtle walks 2 feet in one hour. How many inches does the turtle walk in one hour? A B 2 inches 24 inches C 24 inches D 44 inches 6. Jason and Doug competed in the long jump at a track meet. Jason s long jump was 98 inches. Doug s long jump was 3 yards. How much longer was Doug s jump than Jason s jump? A inch B 0 inches C 2 inches D 20 inches 7. Sarita used 54 ounces of apples to make an apple pie. How many pounds and ounces of apples did Sarita use? A 2 pounds 6 ounces B 3 pounds 6 ounces C 4 pounds 6 ounces D 8 pounds 6 ounces 8. Morgan measures the capacity of a juice glass to be 2 fluid ounces. If she uses the glass to drink 4 glasses of water throughout the day, how many pints of water does Morgan drink? A B 3 pints 6 pints C 24 pints D 48 pints Chapter 0 437

36 Constructed Response 9. Louisa needs 3 liters of lemonade and punch for a picnic. She has,800 milliliters of lemonade. How much punch does she need? Explain how you found your answer. 20. Maddie bought 0 quarts of ice cream. How many gallons and quarts of ice cream did Maddie buy? Explain how you found your answer. Performance Task 2. The Drama Club is showing a video of their recent play. The first showing began at 2:30 P.M. The second showing was scheduled to start at 5:25 P.M. with a _ 2 -hour break between the showings. A How long is the video in hours and minutes? B Explain how you can use a number line to find the answer. C The second showing started 20 minutes late. Will the second showing be over by 7:45 P.M.? Explain why your answer is reasonable. 438