# 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.**