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Mathematics LibreTexts

1.11E: Exercises

  • Page ID
    30357
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    Practice Makes Perfect

    Make Unit Conversions in the U.S. System

    In the following exercises, convert the units.

    Exercise \(\PageIndex{1}\)

    A park bench is 6 feet long. Convert the length to inches.

    Answer

    72 inches

    Exercise \(\PageIndex{2}\)

    A floor tile is 2 feet wide. Convert the width to inches.

    Exercise \(\PageIndex{3}\)

    A ribbon is 18 inches long. Convert the length to feet.

    Answer

    1.5 feet

    Exercise \(\PageIndex{4}\)

    Carson is 45 inches tall. Convert his height to feet.

    Exercise \(\PageIndex{5}\)

    A football field is 160 feet wide. Convert the width to yards.

    Answer

    53\(\frac{1}{3}\) yards

    Exercise \(\PageIndex{6}\)

    On a baseball diamond, the distance from home plate to first base is 30 yards. Convert the distance to feet.

    Exercise \(\PageIndex{7}\)

    On a baseball diamond, the distance from home plate to first base is 30 yards. Convert the distance to feet.

    Answer

    7,920 feet

    Exercise \(\PageIndex{8}\)

    Denver, Colorado, is 5,183 feet above sea level. Convert the height to miles.

    Exercise \(\PageIndex{9}\)

    A killer whale weighs 4.6 tons. Convert the weight to pounds.

    Answer

    9,200 pounds

    Exercise \(\PageIndex{10}\)

    Blue whales can weigh as much as 150 tons. Convert the weight to pounds.

    Exercise \(\PageIndex{11}\)

    An empty bus weighs 35,000 pounds. Convert the weight to tons.

    Answer

    17\(\frac{1}{2}\) tons

    Exercise \(\PageIndex{12}\)

    At take-off, an airplane weighs 220,000 pounds. Convert the weight to tons.

    Exercise \(\PageIndex{13}\)

    Rocco waited 1\(\frac{1}{2}\) hours for his appointment. Convert the time to seconds.

    Answer

    5,400 s

    Exercise \(\PageIndex{14}\)

    Misty's surgery lasted 2\(\frac{1}{4}\) hours. Convert the time to seconds.

    Exercise \(\PageIndex{15}\)

    How many teaspoons are in a pint?

    Answer

    96 teaspoons

    Exercise \(\PageIndex{16}\)

    How many tablespoons are in a gallon?

    Exercise \(\PageIndex{17}\)

    JJ’s cat, Posy, weighs 14 pounds. Convert her weight to ounces.

    Answer

    224 ounces

    Exercise \(\PageIndex{18}\)

    April’s dog, Beans, weighs 8 pounds. Convert his weight to ounces.

    Exercise \(\PageIndex{19}\)

    Crista will serve 20 cups of juice at her son’s party. Convert the volume to gallons.

    Answer

    1\(\frac{1}{4}\) gallons

    Exercise \(\PageIndex{20}\)

    Lance needs 50 cups of water for the runners in a race. Convert the volume to gallons.

    Exercise \(\PageIndex{21}\)

    Jon is 6 feet 4 inches tall. Convert his height to inches.

    Answer

    26 in.

    Exercise \(\PageIndex{22}\)

    Faye is 4 feet 10 inches tall. Convert her height to inches.

    Exercise \(\PageIndex{23}\)

    The voyage of the Mayflower took 2 months and 5 days. Convert the time to days.

    Answer

    65 days

    Exercise \(\PageIndex{24}\)

    Lynn’s cruise lasted 6 days and 18 hours. Convert the time to hours.

    Exercise \(\PageIndex{25}\)

    Baby Preston weighed 7 pounds 3 ounces at birth. Convert his weight to ounces.

    Answer

    115 ounces

    Exercise \(\PageIndex{26}\)

    Baby Audrey weighted 6 pounds 15 ounces at birth. Convert her weight to ounces.

    Use Mixed Units of Measurement in the U.S. System

    In the following exercises, solve.

    Exercise \(\PageIndex{27}\)

    Eli caught three fish. The weights of the fish were 2 pounds 4 ounces, 1 pound 11 ounces, and 4 pounds 14 ounces. What was the total weight of the three fish?

    Answer

    8 lbs. 13 oz.

    Exercise \(\PageIndex{28}\)

    Judy bought 1 pound 6 ounces of almonds, 2 pounds 3 ounces of walnuts, and 8 ounces of cashews. How many pounds of nuts did Judy buy?

    Exercise \(\PageIndex{29}\)

    One day Anya kept track of the number of minutes she spent driving. She recorded 45, 10, 8, 65, 20, and 35. How many hours did Anya spend driving?

    Answer

    3.05 hours

    Exercise \(\PageIndex{30}\)

    Last year Eric went on 6 business trips. The number of days of each was 5, 2, 8, 12, 6, and 3. How many weeks did Eric spend on business trips last year?

    Exercise \(\PageIndex{31}\)

    Renee attached a 6 feet 6 inch extension cord to her computer’s 3 feet 8 inch power cord. What was the total length of the cords?

    Answer

    10 ft. 2 in.

    Exercise \(\PageIndex{32}\)

    Fawzi’s SUV is 6 feet 4 inches tall. If he puts a 2 feet 10 inch box on top of his SUV, what is the total height of the SUV and the box?

    Exercise \(\PageIndex{33}\)

    Leilani wants to make 8 placemats. For each placemat she needs 18 inches of fabric. How many yards of fabric will she need for the 8 placemats?

    Answer

    4 yards

    Exercise \(\PageIndex{34}\)

    Mireille needs to cut 24 inches of ribbon for each of the 12 girls in her dance class. How many yards of ribbon will she need altogether?

    Make Unit Conversions in the Metric System

    In the following exercises, convert the units.

    Exercise \(\PageIndex{35}\)

    Ghalib ran 5 kilometers. Convert the length to meters.

    Answer

    5,000 meters

    Exercise \(\PageIndex{36}\)

    Kitaka hiked 8 kilometers. Convert the length to meters.

    Exercise \(\PageIndex{37}\)

    Estrella is 1.55 meters tall. Convert her height to centimeters.

    Answer

    155 centimeters

    Exercise \(\PageIndex{38}\)

    The width of the wading pool is 2.45 meters. Convert the width to centimeters.

    Exercise \(\PageIndex{39}\)

    Mount Whitney is 3,072 meters tall. Convert the height to kilometers.

    Answer

    3.072 kilometers

    Exercise \(\PageIndex{40}\)

    The depth of the Mariana Trench is 10,911 meters. Convert the depth to kilometers.

    Exercise \(\PageIndex{41}\)

    June’s multivitamin contains 1,500 milligrams of calcium. Convert this to grams.

    Answer

    1.5 grams

    Exercise \(\PageIndex{42}\)

    A typical ruby-throated hummingbird weights 3 grams. Convert this to milligrams.

    Exercise \(\PageIndex{43}\)

    One stick of butter contains 91.6 grams of fat. Convert this to milligrams.

    Answer

    91,600 milligrams

    Exercise \(\PageIndex{44}\)

    One serving of gourmet ice cream has 25 grams of fat. Convert this to milligrams.

    Exercise \(\PageIndex{45}\)

    The maximum mass of an airmail letter is 2 kilograms. Convert this to grams.

    Answer

    2,000 grams

    Exercise \(\PageIndex{46}\)

    Dimitri’s daughter weighed 3.8 kilograms at birth. Convert this to grams.

    Exercise \(\PageIndex{47}\)

    A bottle of wine contained 750 milliliters. Convert this to liters.

    Answer

    0.75 liters

    Exercise \(\PageIndex{48}\)

    A bottle of medicine contained 300 milliliters. Convert this to liters.

    Use Mixed Units of Measurement in the Metric System

    In the following exercises, solve.

    Exercise \(\PageIndex{49}\)

    Matthias is 1.8 meters tall. His son is 89 centimeters tall. How much taller is Matthias than his son?

    Answer

    91 centimeters

    Exercise \(\PageIndex{50}\)

    Stavros is 1.6 meters tall. His sister is 95 centimeters tall. How much taller is Stavros than his sister?

    Exercise \(\PageIndex{51}\)

    A typical dove weighs 345 grams. A typical duck weighs 1.2 kilograms. What is the difference, in grams, of the weights of a duck and a dove?

    Answer

    855 grams

    Exercise \(\PageIndex{52}\)

    Concetta had a 2-kilogram bag of flour. She used 180 grams of flour to make biscotti. How many kilograms of flour are left in the bag?

    Exercise \(\PageIndex{53}\)

    Harry mailed 5 packages that weighed 420 grams each. What was the total weight of the packages in kilograms?

    Answer

    2.1 kilograms

    Exercise \(\PageIndex{54}\)

    One glass of orange juice provides 560 milligrams of potassium. Linda drinks one glass of orange juice every morning. How many grams of potassium does Linda get from her orange juice in 30 days?

    Exercise \(\PageIndex{55}\)

    Jonas drinks 200 milliliters of water 8 times a day. How many liters of water does Jonas drink in a day?

    Answer

    1.6 liters

    Exercise \(\PageIndex{56}\)

    One serving of whole grain sandwich bread provides 6 grams of protein. How many milligrams of protein are provided by 7 servings of whole grain sandwich bread?

    Convert Between the U.S. and the Metric Systems of Measurement

    In the following exercises, make the unit conversions. Round to the nearest tenth.

    Exercise \(\PageIndex{57}\)

    Bill is 75 inches tall. Convert his height to centimeters.

    Answer

    190.5 centimeters

    Exercise \(\PageIndex{58}\)

    Frankie is 42 inches tall. Convert his height to centimeters.

    Exercise \(\PageIndex{59}\)

    Marcus passed a football 24 yards. Convert the pass length to meters

    Answer

    21.9 meters

    Exercise \(\PageIndex{60}\)

    Connie bought 9 yards of fabric to make drapes. Convert the fabric length to meters.

    Exercise \(\PageIndex{61}\)

    Each American throws out an average of 1,650 pounds of garbage per year. Convert this weight to kilograms.

    Answer

    742.5 kilograms

    Exercise \(\PageIndex{62}\)

    An average American will throw away 90,000 pounds of trash over his or her lifetime. Convert this weight to kilograms.

    Exercise \(\PageIndex{63}\)

    A 5K run is 5 kilometers long. Convert this length to miles.

    Answer

    3.1 miles

    Exercise \(\PageIndex{64}\)

    Kathryn is 1.6 meters tall. Convert her height to feet.

    Exercise \(\PageIndex{65}\)

    Dawn’s suitcase weighed 20 kilograms. Convert the weight to pounds.

    Answer

    44 pounds

    Exercise \(\PageIndex{66}\)

    Jackson’s backpack weighed 15 kilograms. Convert the weight to pounds.

    Exercise \(\PageIndex{67}\)

    Ozzie put 14 gallons of gas in his truck. Convert the volume to liters.

    Answer

    53.2 liters

    Exercise \(\PageIndex{68}\)

    Bernard bought 8 gallons of paint. Convert the volume to liters.

    Convert between Fahrenheit and Celsius Temperatures

    In the following exercises, convert the Fahrenheit temperatures to degrees Celsius. Round to the nearest tenth.

    Exercise \(\PageIndex{69}\)

    86° Fahrenheit

    Answer

    30°C

    Exercise \(\PageIndex{70}\)

    77° Fahrenheit

    Exercise \(\PageIndex{71}\)

    104° Fahrenheit

    Answer

    40°C

    Exercise \(\PageIndex{72}\)

    14° Fahrenheit

    Exercise \(\PageIndex{73}\)

    72° Fahrenheit

    Answer

    22.2°C

    Exercise \(\PageIndex{74}\)

    4° Fahrenheit

    Exercise \(\PageIndex{75}\)

    0° Fahrenheit

    Answer

    −17.8°C

    Exercise \(\PageIndex{76}\)

    120° Fahrenheit

    In the following exercises, convert the Celsius temperatures to degrees Fahrenheit. Round to the nearest tenth.

    Exercise \(\PageIndex{77}\)

    5° Celsius

    Answer

    41°F

    Exercise \(\PageIndex{78}\)

    25° Celsius

    Exercise \(\PageIndex{79}\)

    −10° Celsius

    Answer

    14°F

    Exercise \(\PageIndex{80}\)

    −15° Celsius

    Exercise \(\PageIndex{81}\)

    22° Celsius

    Answer

    71.6°F

    Exercise \(\PageIndex{82}\)

    8° Celsius

    Exercise \(\PageIndex{83}\)

    43° Celsius

    Answer

    109.4°F

    Exercise \(\PageIndex{84}\)

    16° Celsius

    Everyday Math

    Exercise \(\PageIndex{85}\)

    Nutrition Julian drinks one can of soda every day. Each can of soda contains 40 grams of sugar. How many kilograms of sugar does Julian get from soda in 1 year?

    Answer

    14.6 kilograms

    Exercise \(\PageIndex{86}\)

    Reflectors The reflectors in each lane-marking stripe on a highway are spaced 16 yards apart. How many reflectors are needed for a one mile long lane-marking stripe?

    Writing Exercises

    Exercise \(\PageIndex{87}\)

    Some people think that 65° to 75° Fahrenheit is the ideal temperature range.

    1. What is your ideal temperature range? Why do you think so?
    2. Convert your ideal temperatures from Fahrenheit to Celsius.
    Answer

    Answers may vary.

    Exercise \(\PageIndex{88}\)

    1. Did you grow up using the U.S. or the metric system of measurement?
    2. Describe two examples in your life when you had to convert between the two systems of measurement.

    Self Check

    ⓐ After completing the exercises, use this checklist to evaluate your mastery of the objectives of this section.

    This is a table that has seven rows and four columns. In the first row, which is a header row, the cells read from left to right “I can…,” “Confidently,” “With some help,” and “No-I don’t get it!” The first column below “I can…” reads “define US units of measurement and convert from one unit to another,” “use US units of measurement,” “define metric units of measurement and convert from one unit to another,” “use metric units of measurement,” “convert between the US and the metric system of measurement,” and “convert between Fahrenheit and Celsius temperatures.” The rest of the cells are blank.

    ⓑ Overall, after looking at the checklist, do you think you are well-prepared for the next Chapter? Why or why not?