# Exercises: Systems of Measurement (2.1)

## Exercises: Make Unit Conversions in the Metric System

Instructions: For questions 1–15, convert the units.

1. Convert each of the following measurements:

a. $439\text{ mm}=(?)\text{ m}$
b. $48.3\text{ mm}=(?)\text{ m}$
c. $7230\text{ mL}=(?)\text{ kL}$
d. $52\text{ cm}=(?)\text{ mm}$

2. Ghalib ran $5$ kilometres. Convert the length to meters.

Solution

$5\text{,}000$ meters

3. Kitaka hiked $8$ kilometres. Convert the length to meters.

4. Estrella is $1.55$ meters tall. Convert her height to centimetres.

Solution

$155$ centimetres

5. The width of the wading pool is $2.45$ meters. Convert the width to centimetres.

6. Mount Whitney is $3\text{,}072$ meters tall. Convert the height to kilometres.

Solution

$3.072$ kilometres

7. The depth of the Mariana Trench is $10\text{,}911$ meters. Convert the depth to kilometres.

8. June’s multivitamin contains $1\text{,}500$ milligrams of calcium. Convert this to grams.

Solution

$1.5$ grams

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

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

Solution

$91\text{,}600$ milligrams

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

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

Solution

$2\text{,}000$ grams

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

14. A bottle of wine contained $750$ millilitres. Convert this to litres.

Solution

$0.75$ litres

15. A bottle of medicine contained $300$ millilitres. Convert this to litres.

## Exercises: Use Mixed Units of Measurement in the Metric System

Instructions: For questions 16–25, solve.

16. Matthias is $1.8$ metres tall. His son is $89$ centimetres tall. How much taller is Matthias than his son?

Solution

$91$ centimetres

17. Stavros is $1.6$ metres tall. His sister is $95$ centimetres tall. How much taller is Stavros than his sister?

18. 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?

Solution

$855$ grams

19. 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?

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

Solution

$2.1$ kilograms

21. 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?

22. Jonas drinks $200$ millilitres of water $8$ times a day. How many litres of water does Jonas drink in a day?

Solution

$1.6$ litres

23. 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?

24. Combine:

a. $7\text{ m}-3000\text{ mm}=(?)\text{ mm}$
b. $63\text{ kg}+6\text{ g}=(?)\text{ g}$

Solution

a. $4\text{,}000$ mm
b. $63\text{,}006$ g

25. Complete:

a. $38\text{ cm}^3=(?)\text{ g}$
b. $5\text{ L}=(?)\text{ cm}^3$
c. $18\text{ L}$ of water has a volume of $\underline{\;\;\;\;\;\;}\text{ cm}^3$.
d. A water tank measures $45$ cm by $35$ cm by $25$ cm. How many kilolitres of water will it hold?

## Exercises: Make Unit Conversions in the U.S. System

Instructions: For questions 26–51, convert the units.

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

Solution

$72$ inches

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

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

Solution

$1.5$ feet

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

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

Solution

$53\frac{1}{3}$ yards

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

32. Ulises lives $1.5$ miles from school. Convert the distance to feet.

Solution

$7\text{,}920$ feet

33. Denver, Colorado, is $5\text{,}183$ feet above sea level. Convert the height to miles.

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

Solution

$9\text{,}200$ pounds

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

36. An empty bus weighs $35\text{,}000$ pounds. Convert the weight to tons.

Solution

$17\frac{1}{2}$ tons

37. At take-off, an airplane weighs $220\text{,}000$ pounds. Convert the weight to tons.

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

Solution

$5\text{,}400$ s

39. Misty’s surgery lasted $2\frac{1}{4}$ hours. Convert the time to seconds.

40. How many teaspoons are in a pint?

Solution

$96$ teaspoons

41. How many tablespoons are in a gallon?

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

Solution

$224$ ounces

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

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

Solution

$1\frac{1}{4}$ gallons

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

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

Solution

$26$ in.

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

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

Solution

$65$ days

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

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

Solution

$115$ ounces

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

## Exercises: Use Mixed Units of Measurement in the U.S. System

Instructions: For questions 52–59, solve.

52. 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?

Solution

$8$ lbs. $13$ oz.

53. 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?

54. 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?

Solution

$3.05$ hours

55. 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?

56. 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?

Solution

$10$ ft. $2$ in.

57. 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?

58. 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?

Solution

$4$ yards

59. 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?

## Exercises: Convert Between the U.S. and the Metric Systems of Measurement

Instructions: For questions 60–71, make the unit conversions. Round to the nearest tenth.

60. Bill is $75$ inches tall. Convert his height to centimetres.

Solution

$190.5$ centimetres

61. Frankie is $42$ inches tall. Convert his height to centimetres.

62. Marcus passed a football $24$ yards. Convert the pass length to metres

Solution

$21.9$ meters

63. Connie bought $9$ yards of fabric to make drapes. Convert the fabric length to metres.

64. Each American throws out an average of $1\text{,}650$ pounds of garbage per year. Convert this weight to kilograms.

Solution

$742.5$ kilograms

65. An average American will throw away $90\text{,}000$ pounds of trash over his or her lifetime. Convert this weight to kilograms.

66. A 5K run is $5$ kilometres long. Convert this length to miles.

Solution

$3.1$ miles

67. Kathryn is $1.6$ metres tall. Convert her height to feet.

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

Solution

$44$ pounds

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

70. Ozzie put $14$ gallons of gas in his truck. Convert the volume to litres.

Solution

$53.2$ litres

71. Bernard bought $8$ gallons of paint. Convert the volume to litres.

## Exercises: Convert between Fahrenheit and Celsius Temperatures

Instructions: For questions 72–79, convert the Fahrenheit temperatures to degrees Celsius. Round to the nearest tenth.

72. $86^\circ$ Fahrenheit

Solution

$30^\circ\text{C}$

73. $77^\circ$ Fahrenheit

74. $104^\circ$ Fahrenheit

Solution

$40^\circ\text{C}$

75. $14^\circ$ Fahrenheit

76. $72\text{°}$ Fahrenheit

Solution

$22.2^\circ\text{C}$

77. $4^\circ$ Fahrenheit

78. $0^\circ$ Fahrenheit

Solution

$-17.8^\circ\text{C}$

79. $120^\circ$ Fahrenheit

## Exercises: Convert between Fahrenheit and Celsius Temperatures

Instructions: For questions 80–87, convert the Celsius temperatures to degrees Fahrenheit. Round to the nearest tenth.

80. $5^\circ$ Celsius

Solution

$41^\circ\text{F}$

81. $25^\circ$ Celsius

82. $-10^\circ$ Celsius

Solution

$14^\circ\text{F}$

83. $-15^\circ$ Celsius

84. $22^\circ$ Celsius

Solution

$71.6^\circ\text{F}$

85. $8^\circ$ Celsius

86. $43^\circ$ Celsius

Solution

$109.4^\circ\text{F}$

87. $16^\circ$ Celsius

## Exercises: Everyday Math

Instructions: For questions 88–89, answer the given everyday math word problem.

88. 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?

Solution

$14.6$ kilograms

89. 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?

## Exercises: Writing Exercises

Instructions: For questions 90–91, answer the given writing exercises.

90. Some people think that $65^\circ$ to $75^\circ$ Fahrenheit is the ideal temperature range.

a. What is your ideal temperature range? Why do you think so?
b. Convert your ideal temperatures from Fahrenheit to Celsius.

Solution