Exercises: Systems of Measurement (2.1)
Exercises: Make Unit Conversions in the Metric System
1. Convert each of the following measurements:
a. [latex]439\text{ mm}=(?)\text{ m}[/latex]
b. [latex]48.3\text{ mm}=(?)\text{ m}[/latex]
c. [latex]7230\text{ mL}=(?)\text{ kL}[/latex]
d. [latex]52\text{ cm}=(?)\text{ mm}[/latex]
2. Ghalib ran [latex]5[/latex] kilometres. Convert the length to meters.
Solution
[latex]5\text{,}000[/latex] meters
3. Kitaka hiked [latex]8[/latex] kilometres. Convert the length to meters.
4. Estrella is [latex]1.55[/latex] meters tall. Convert her height to centimetres.
Solution
[latex]155[/latex] centimetres
5. The width of the wading pool is [latex]2.45[/latex] meters. Convert the width to centimetres.
6. Mount Whitney is [latex]3\text{,}072[/latex] meters tall. Convert the height to kilometres.
Solution
[latex]3.072[/latex] kilometres
7. The depth of the Mariana Trench is [latex]10\text{,}911[/latex] meters. Convert the depth to kilometres.
8. June’s multivitamin contains [latex]1\text{,}500[/latex] milligrams of calcium. Convert this to grams.
Solution
[latex]1.5[/latex] grams
9. A typical ruby-throated hummingbird weights [latex]3[/latex] grams. Convert this to milligrams.
10. One stick of butter contains [latex]91.6[/latex] grams of fat. Convert this to milligrams.
Solution
[latex]91\text{,}600[/latex] milligrams
11. One serving of gourmet ice cream has [latex]25[/latex] grams of fat. Convert this to milligrams.
12. The maximum mass of an airmail letter is [latex]2[/latex] kilograms. Convert this to grams.
Solution
[latex]2\text{,}000[/latex] grams
13. Dimitri’s daughter weighed [latex]3.8[/latex] kilograms at birth. Convert this to grams.
14. A bottle of wine contained [latex]750[/latex] millilitres. Convert this to litres.
Solution
[latex]0.75[/latex] litres
15. A bottle of medicine contained [latex]300[/latex] millilitres. Convert this to litres.
Exercises: Use Mixed Units of Measurement in the Metric System
16. Matthias is [latex]1.8[/latex] metres tall. His son is [latex]89[/latex] centimetres tall. How much taller is Matthias than his son?
Solution
[latex]91[/latex] centimetres
17. Stavros is [latex]1.6[/latex] metres tall. His sister is [latex]95[/latex] centimetres tall. How much taller is Stavros than his sister?
18. A typical dove weighs [latex]345[/latex] grams. A typical duck weighs [latex]1.2[/latex] kilograms. What is the difference, in grams, of the weights of a duck and a dove?
Solution
[latex]855[/latex] grams
19. Concetta had a [latex]2[/latex]-kilogram bag of flour. She used [latex]180[/latex] grams of flour to make biscotti. How many kilograms of flour are left in the bag?
20. Harry mailed [latex]5[/latex] packages that weighed [latex]420[/latex] grams each. What was the total weight of the packages in kilograms?
Solution
[latex]2.1[/latex] kilograms
21. One glass of orange juice provides [latex]560[/latex] 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 [latex]30[/latex] days?
22. Jonas drinks [latex]200[/latex] millilitres of water [latex]8[/latex] times a day. How many litres of water does Jonas drink in a day?
Solution
[latex]1.6[/latex] litres
23. One serving of whole grain sandwich bread provides [latex]6[/latex] grams of protein. How many milligrams of protein are provided by [latex]7[/latex] servings of whole grain sandwich bread?
24. Combine:
a. [latex]7\text{ m}-3000\text{ mm}=(?)\text{ mm}[/latex]
b. [latex]63\text{ kg}+6\text{ g}=(?)\text{ g}[/latex]
Solution
a. [latex]4\text{,}000[/latex] mm
b. [latex]63\text{,}006[/latex] g
25. Complete:
a. [latex]38\text{ cm}^3=(?)\text{ g}[/latex]
b. [latex]5\text{ L}=(?)\text{ cm}^3[/latex]
c. [latex]18\text{ L}[/latex] of water has a volume of [latex]\underline{\;\;\;\;\;\;}\text{ cm}^3[/latex].
d. A water tank measures [latex]45[/latex] cm by [latex]35[/latex] cm by [latex]25[/latex] cm. How many kilolitres of water will it hold?
Exercises: Make Unit Conversions in the U.S. System
26. A park bench is [latex]6[/latex] feet long. Convert the length to inches.
Solution
[latex]72[/latex] inches
27. A floor tile is [latex]2[/latex] feet wide. Convert the width to inches.
28. A ribbon is [latex]18[/latex] inches long. Convert the length to feet.
Solution
[latex]1.5[/latex] feet
29. Carson is [latex]45[/latex] inches tall. Convert his height to feet.
30. A football field is [latex]160[/latex] feet wide. Convert the width to yards.
Solution
[latex]53\frac{1}{3}[/latex] yards
31. On a baseball diamond, the distance from home plate to first base is [latex]30[/latex] yards. Convert the distance to feet.
32. Ulises lives [latex]1.5[/latex] miles from school. Convert the distance to feet.
Solution
[latex]7\text{,}920[/latex] feet
33. Denver, Colorado, is [latex]5\text{,}183[/latex] feet above sea level. Convert the height to miles.
34. A killer whale weighs [latex]4.6[/latex] tons. Convert the weight to pounds.
Solution
[latex]9\text{,}200[/latex] pounds
35. Blue whales can weigh as much as [latex]150[/latex] tons. Convert the weight to pounds.
36. An empty bus weighs [latex]35\text{,}000[/latex] pounds. Convert the weight to tons.
Solution
[latex]17\frac{1}{2}[/latex] tons
37. At take-off, an airplane weighs [latex]220\text{,}000[/latex] pounds. Convert the weight to tons.
38. Rocco waited [latex]1\frac{1}{2}[/latex] hours for his appointment. Convert the time to seconds.
Solution
[latex]5\text{,}400[/latex] s
39. Misty’s surgery lasted [latex]2\frac{1}{4}[/latex] hours. Convert the time to seconds.
40. How many teaspoons are in a pint?
Solution
[latex]96[/latex] teaspoons
41. How many tablespoons are in a gallon?
42. JJ’s cat, Posy, weighs [latex]14[/latex] pounds. Convert her weight to ounces.
Solution
[latex]224[/latex] ounces
43. April’s dog, Beans, weighs [latex]8[/latex] pounds. Convert his weight to ounces.
44. Crista will serve [latex]20[/latex] cups of juice at her son’s party. Convert the volume to gallons.
Solution
[latex]1\frac{1}{4}[/latex] gallons
45. Lance needs [latex]50[/latex] cups of water for the runners in a race. Convert the volume to gallons.
46. Jon is [latex]6[/latex] feet [latex]4[/latex] inches tall. Convert his height to inches.
Solution
[latex]26[/latex] in.
47. Faye is [latex]4[/latex] feet [latex]10[/latex] inches tall. Convert her height to inches.
48. The voyage of the Mayflower took [latex]2[/latex] months and [latex]5[/latex] days. Convert the time to days.
Solution
[latex]65[/latex] days
49. Lynn’s cruise lasted [latex]6[/latex] days and [latex]18[/latex] hours. Convert the time to hours.
50. Baby Preston weighed [latex]7[/latex] pounds [latex]3[/latex] ounces at birth. Convert his weight to ounces.
Solution
[latex]115[/latex] ounces
51. Baby Audrey weighted [latex]6[/latex] pounds [latex]15[/latex] ounces at birth. Convert her weight to ounces.
Exercises: Use Mixed Units of Measurement in the U.S. System
52. Eli caught three fish. The weights of the fish were [latex]2[/latex] pounds [latex]4[/latex] ounces, [latex]1[/latex] pound [latex]11[/latex] ounces, and [latex]4[/latex] pounds [latex]14[/latex] ounces. What was the total weight of the three fish?
Solution
[latex]8[/latex] lbs. [latex]13[/latex] oz.
53. Judy bought [latex]1[/latex] pound [latex]6[/latex] ounces of almonds, [latex]2[/latex] pounds [latex]3[/latex] ounces of walnuts, and [latex]8[/latex] 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 [latex]45[/latex], [latex]10[/latex], [latex]8[/latex], [latex]65[/latex], [latex]20[/latex], and [latex]35[/latex]. How many hours did Anya spend driving?
Solution
[latex]3.05[/latex] hours
55. Last year Eric went on [latex]6[/latex] business trips. The number of days of each was [latex]5[/latex], [latex]2[/latex], [latex]8[/latex], [latex]12[/latex], [latex]6[/latex], and [latex]3[/latex]. How many weeks did Eric spend on business trips last year?
56. Renee attached a [latex]6[/latex] feet [latex]6[/latex] inch extension cord to her computer’s [latex]3[/latex] feet [latex]8[/latex] inch power cord. What was the total length of the cords?
Solution
[latex]10[/latex] ft. [latex]2[/latex] in.
57. Fawzi’s SUV is [latex]6[/latex] feet [latex]4[/latex] inches tall. If he puts a [latex]2[/latex] feet [latex]10[/latex] inch box on top of his SUV, what is the total height of the SUV and the box?
58. Leilani wants to make [latex]8[/latex] placemats. For each placemat she needs [latex]18[/latex] inches of fabric. How many yards of fabric will she need for the [latex]8[/latex] placemats?
Solution
[latex]4[/latex] yards
59. Mireille needs to cut [latex]24[/latex] inches of ribbon for each of the [latex]12[/latex] 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
60. Bill is [latex]75[/latex] inches tall. Convert his height to centimetres.
Solution
[latex]190.5[/latex] centimetres
61. Frankie is [latex]42[/latex] inches tall. Convert his height to centimetres.
62. Marcus passed a football [latex]24[/latex] yards. Convert the pass length to metres
Solution
[latex]21.9[/latex] meters
63. Connie bought [latex]9[/latex] yards of fabric to make drapes. Convert the fabric length to metres.
64. Each American throws out an average of [latex]1\text{,}650[/latex] pounds of garbage per year. Convert this weight to kilograms.
Solution
[latex]742.5[/latex] kilograms
65. An average American will throw away [latex]90\text{,}000[/latex] pounds of trash over his or her lifetime. Convert this weight to kilograms.
66. A 5K run is [latex]5[/latex] kilometres long. Convert this length to miles.
Solution
[latex]3.1[/latex] miles
67. Kathryn is [latex]1.6[/latex] metres tall. Convert her height to feet.
68. Dawn’s suitcase weighed [latex]20[/latex] kilograms. Convert the weight to pounds.
Solution
[latex]44[/latex] pounds
69. Jackson’s backpack weighed [latex]15[/latex] kilograms. Convert the weight to pounds.
70. Ozzie put [latex]14[/latex] gallons of gas in his truck. Convert the volume to litres.
Solution
[latex]53.2[/latex] litres
71. Bernard bought [latex]8[/latex] gallons of paint. Convert the volume to litres.
Exercises: Convert between Fahrenheit and Celsius Temperatures
72. [latex]86^\circ[/latex] Fahrenheit
Solution
[latex]30^\circ\text{C}[/latex]
73. [latex]77^\circ[/latex] Fahrenheit
74. [latex]104^\circ[/latex] Fahrenheit
Solution
[latex]40^\circ\text{C}[/latex]
75. [latex]14^\circ[/latex] Fahrenheit
76. [latex]72\text{°}[/latex] Fahrenheit
Solution
[latex]22.2^\circ\text{C}[/latex]
77. [latex]4^\circ[/latex] Fahrenheit
78. [latex]0^\circ[/latex] Fahrenheit
Solution
[latex]-17.8^\circ\text{C}[/latex]
79. [latex]120^\circ[/latex] Fahrenheit
Exercises: Convert between Fahrenheit and Celsius Temperatures
80. [latex]5^\circ[/latex] Celsius
Solution
[latex]41^\circ\text{F}[/latex]
81. [latex]25^\circ[/latex] Celsius
82. [latex]-10^\circ[/latex] Celsius
Solution
[latex]14^\circ\text{F}[/latex]
83. [latex]-15^\circ[/latex] Celsius
84. [latex]22^\circ[/latex] Celsius
Solution
[latex]71.6^\circ\text{F}[/latex]
85. [latex]8^\circ[/latex] Celsius
86. [latex]43^\circ[/latex] Celsius
Solution
[latex]109.4^\circ\text{F}[/latex]
87. [latex]16^\circ[/latex] Celsius
Exercises: Everyday Math
88. Nutrition. Julian drinks one can of soda every day. Each can of soda contains [latex]40[/latex] grams of sugar. How many kilograms of sugar does Julian get from soda in [latex]1[/latex] year?
Solution
[latex]14.6[/latex] kilograms
89. Reflectors. The reflectors in each lane-marking stripe on a highway are spaced [latex]16[/latex] yards apart. How many reflectors are needed for a one mile long lane-marking stripe?
Exercises: Writing Exercises
90. Some people think that [latex]65^\circ[/latex] to [latex]75^\circ[/latex] 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
Answers may vary.
91. Read the prompts and answer accordingly.
a. Did you grow up using the U.S. or the metric system of measurement?
b. Describe two examples in your life when you had to convert between the two systems of measurement.
