{"id":4922,"date":"2023-06-23T03:29:06","date_gmt":"2023-06-23T03:29:06","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/?post_type=chapter&p=4922"},"modified":"2024-10-18T20:52:10","modified_gmt":"2024-10-18T20:52:10","slug":"measurement-get-stronger","status":"web-only","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/chapter\/measurement-get-stronger\/","title":{"raw":"Measurement: Get Stronger","rendered":"Measurement: Get Stronger"},"content":{"raw":"

Make Unit Conversions in the U.S. System<\/h2>\r\n

In the following exercises, convert the units.<\/p>\r\n

    \r\n\t
  1. A floor tile is [latex]2[\/latex] feet wide. Convert the width to inches.<\/li>\r\n\t
  2. Carson is [latex]45[\/latex] inches tall. Convert his height to feet.<\/li>\r\n\t
  3. Faye is [latex]4[\/latex] feet [latex]10[\/latex] inches tall. Convert her height to inches.<\/li>\r\n\t
  4. On a baseball diamond, the distance from home plate to first base is [latex]30[\/latex] yards. Convert the distance to feet.<\/li>\r\n\t
  5. Denver, Colorado, is [latex]5,183[\/latex] feet above sea level. Convert the height to miles.<\/li>\r\n\t
  6. Blue whales can weigh as much as [latex]150[\/latex] tons. Convert the weight to pounds.<\/li>\r\n\t
  7. At take-off, an airplane weighs [latex]220,000[\/latex] pounds. Convert the weight to tons.<\/li>\r\n\t
  8. Baby Audrey weighed [latex]6[\/latex] pounds [latex]15[\/latex] ounces at birth. Convert her weight to ounces.<\/li>\r\n\t
  9. Lance needs [latex]500[\/latex] cups of water for the runners in a race. Convert the volume to gallons.<\/li>\r\n<\/ol>\r\n

    Use Mixed Units of Measurement in the U.S. System<\/h2>\r\n

    In the following exercises, solve and write your answer in mixed units.<\/p>\r\n

      \r\n\t
    1. 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?<\/li>\r\n\t
    2. 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. What was the total weight of the nuts?<\/li>\r\n\t
    3. Renee attached a [latex]\\text{6-foot - 6-inch}[\/latex] extension cord to her computer\u2019s [latex]\\text{3-foot - 8-inch}[\/latex] power cord. What was the total length of the cords?<\/li>\r\n\t
    4. Fawzi\u2019s SUV is [latex]6[\/latex] feet [latex]4[\/latex] inches tall. If he puts a [latex]\\text{2-foot - 10-inch}[\/latex] box on top of his SUV, what is the total height of the SUV and the box?<\/li>\r\n\t
    5. 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?<\/li>\r\n\t
    6. 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?<\/li>\r\n<\/ol>\r\n

      Make Unit Conversions in the Metric System<\/h2>\r\n

      In the following exercises, convert the units.<\/p>\r\n

        \r\n\t
      1. Ghalib ran [latex]5[\/latex] kilometers. Convert the length to meters.<\/li>\r\n\t
      2. Kitaka hiked [latex]8[\/latex] kilometers. Convert the length to meters.<\/li>\r\n\t
      3. Estrella is [latex]1.55[\/latex] meters tall. Convert her height to centimeters.<\/li>\r\n\t
      4. The width of the wading pool is [latex]2.45[\/latex] meters. Convert the width to centimeters.<\/li>\r\n\t
      5. Mount Whitney is [latex]3,072[\/latex] meters tall. Convert the height to kilometers.<\/li>\r\n\t
      6. The depth of the Mariana Trench is [latex]10,911[\/latex] meters. Convert the depth to kilometers.<\/li>\r\n\t
      7. June\u2019s multivitamin contains [latex]1,500[\/latex] milligrams of calcium. Convert this to grams.<\/li>\r\n\t
      8. A typical ruby-throated hummingbird weights [latex]3[\/latex] grams. Convert this to milligrams.<\/li>\r\n\t
      9. One stick of butter contains [latex]91.6[\/latex] grams of fat. Convert this to milligrams.<\/li>\r\n\t
      10. One serving of gourmet ice cream has [latex]25[\/latex] grams of fat. Convert this to milligrams.<\/li>\r\n\t
      11. The maximum mass of an airmail letter is [latex]2[\/latex] kilograms. Convert this to grams.<\/li>\r\n\t
      12. Dimitri\u2019s daughter weighed [latex]3.8[\/latex] kilograms at birth. Convert this to grams.<\/li>\r\n\t
      13. A bottle of wine contained [latex]750[\/latex] milliliters. Convert this to liters.<\/li>\r\n\t
      14. A bottle of medicine contained [latex]300[\/latex] milliliters. Convert this to liters.<\/li>\r\n<\/ol>\r\n

        Use Mixed Units of Measurement in the Metric System<\/h2>\r\n

        In the following exercises, solve and write your answer in mixed units.<\/p>\r\n

          \r\n\t
        1. Matthias is [latex]1.8[\/latex] meters tall. His son is [latex]89[\/latex] centimeters tall. How much taller, in centimeters, is Matthias than his son?<\/li>\r\n\t
        2. Stavros is [latex]1.6[\/latex] meters tall. His sister is [latex]95[\/latex] centimeters tall. How much taller, in centimeters, is Stavros than his sister?<\/li>\r\n\t
        3. 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?<\/li>\r\n\t
        4. 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?<\/li>\r\n\t
        5. Harry mailed [latex]5[\/latex] packages that weighed [latex]420[\/latex] grams each. What was the total weight of the packages in kilograms?<\/li>\r\n\t
        6. 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?<\/li>\r\n\t
        7. Jonas drinks [latex]200[\/latex] milliliters of water [latex]8[\/latex] times a day. How many liters of water does Jonas drink in a day?<\/li>\r\n\t
        8. 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?<\/li>\r\n<\/ol>\r\n

          Convert Between U.S. and Metric Systems<\/h2>\r\n

          In the following exercises, make the unit conversions. Round to the nearest tenth.<\/p>\r\n

            \r\n\t
          1. Bill is [latex]75[\/latex] inches tall. Convert his height to centimeters.<\/li>\r\n\t
          2. Frankie is [latex]42[\/latex] inches tall. Convert his height to centimeters.<\/li>\r\n\t
          3. Marcus passed a football [latex]24[\/latex] yards. Convert the pass length to meters.<\/li>\r\n\t
          4. Connie bought [latex]9[\/latex] yards of fabric to make drapes. Convert the fabric length to meters.<\/li>\r\n\t
          5. Each American throws out an average of [latex]1,650[\/latex] pounds of garbage per year. Convert this weight to kilograms.<\/li>\r\n\t
          6. An average American will throw away [latex]90,000[\/latex] pounds of trash over his or her lifetime. Convert this weight to kilograms.<\/li>\r\n\t
          7. A [latex]5[\/latex]K run is [latex]5[\/latex] kilometers long. Convert this length to miles.<\/li>\r\n\t
          8. Kathryn is [latex]1.6[\/latex] meters tall. Convert her height to feet.<\/li>\r\n\t
          9. Dawn\u2019s suitcase weighed [latex]20[\/latex] kilograms. Convert the weight to pounds.<\/li>\r\n\t
          10. Jackson\u2019s backpack weighs [latex]15[\/latex] kilograms. Convert the weight to pounds.<\/li>\r\n\t
          11. Ozzie put [latex]14[\/latex] gallons of gas in his truck. Convert the volume to liters.<\/li>\r\n\t
          12. Bernard bought [latex]8[\/latex] gallons of paint. Convert the volume to liters.<\/li>\r\n<\/ol>\r\n

            Convert between Fahrenheit and Celsius<\/h2>\r\n

            In the following exercises, convert the Fahrenheit temperature to degrees Celsius. Round to the nearest tenth.<\/p>\r\n

              \r\n\t
            1. [latex]86[\/latex]\u2218<\/sup>F<\/li>\r\n\t
            2. [latex]77[\/latex]\u2218<\/sup>F<\/li>\r\n\t
            3. [latex]104[\/latex]\u2218<\/sup>F<\/li>\r\n\t
            4. [latex]14[\/latex]\u2218<\/sup>F<\/li>\r\n\t
            5. [latex]72[\/latex]\u2218<\/sup>F<\/li>\r\n\t
            6. [latex]4[\/latex]\u2218<\/sup>F<\/li>\r\n\t
            7. [latex]0[\/latex]\u2218<\/sup>F<\/li>\r\n\t
            8. [latex]120[\/latex]\u2218<\/sup>F<\/li>\r\n<\/ol>\r\n

              In the following exercises, convert the Celsius temperatures to degrees Fahrenheit. Round to the nearest tenth.<\/p>\r\n

                \r\n\t
              1. [latex]5[\/latex]\u2218<\/sup>C<\/li>\r\n\t
              2. [latex]25[\/latex]\u2218<\/sup>C<\/li>\r\n\t
              3. [latex]\u221210[\/latex]\u2218<\/sup>C<\/li>\r\n\t
              4. [latex]\u221215[\/latex]\u2218<\/sup>C<\/li>\r\n\t
              5. [latex]22[\/latex]\u2218<\/sup>C<\/li>\r\n\t
              6. [latex]8[\/latex]\u2218<\/sup>C<\/li>\r\n\t
              7. [latex]43[\/latex]\u2218<\/sup>C<\/li>\r\n\t
              8. [latex]16[\/latex]\u2218<\/sup>C<\/li>\r\n<\/ol>\r\n

                Systems of Measurement<\/h2>\r\n

                In the following exercises, convert between U.S. units. Round to the nearest tenth.<\/p>\r\n

                  \r\n\t
                1. A floral arbor is [latex]7[\/latex] feet tall. Convert the height to inches.<\/li>\r\n\t
                2. A picture frame is [latex]42[\/latex] inches wide. Convert the width to feet.<\/li>\r\n\t
                3. Kelly is [latex]5[\/latex] feet [latex]4[\/latex] inches tall. Convert her height to inches.<\/li>\r\n\t
                4. A playground is [latex]45[\/latex] feet wide. Convert the width to yards.<\/li>\r\n\t
                5. The height of Mount Shasta is [latex]14,179[\/latex] feet. Convert the height to miles.<\/li>\r\n\t
                6. Shamu weighs [latex]4.5[\/latex] tons. Convert the weight to pounds.<\/li>\r\n\t
                7. The play lasted [latex]1\\frac{3}{4}[\/latex] hours. Convert the time to minutes.<\/li>\r\n\t
                8. How many tablespoons are in a quart?<\/li>\r\n\t
                9. Naomi\u2019s baby weighed [latex]5[\/latex] pounds [latex]14[\/latex] ounces at birth. Convert the weight to ounces.<\/li>\r\n\t
                10. Trinh needs [latex]30[\/latex] cups of paint for her class art project. Convert the volume to gallons.<\/li>\r\n<\/ol>\r\n

                  In the following exercises, solve, and state your answer in mixed units.<\/p>\r\n

                    \r\n\t
                  1. John caught [latex]4[\/latex] lobsters. The weights of the lobsters were [latex]1[\/latex] pound [latex]9[\/latex] ounces, [latex]1[\/latex] pound [latex]12[\/latex] ounces, [latex]4[\/latex] pounds [latex]2[\/latex] ounces, and [latex]2[\/latex] pounds [latex]15[\/latex] ounces. What was the total weight of the lobsters?<\/li>\r\n\t
                  2. Every day last week, Pedro recorded the amount of time he spent reading. He read for [latex]50, 25,83,45,32,60[\/latex], and [latex]135[\/latex] minutes. How much time, in hours and minutes, did Pedro spend reading?<\/li>\r\n\t
                  3. Fouad is [latex]6[\/latex] feet [latex]2[\/latex] inches tall. If he stands on a rung of a ladder [latex]8[\/latex] feet [latex]10[\/latex] inches high, how high off the ground is the top of Fouad\u2019s head?<\/li>\r\n\t
                  4. Dalila wants to make pillow covers. Each cover takes
                    \r\n[latex]30[\/latex] inches of fabric. How many yards and inches of fabric does she need for [latex]4[\/latex] pillow covers?<\/li>\r\n<\/ol>\r\n

                    In the following exercises, convert between metric units.<\/p>\r\n

                      \r\n\t
                    1. Donna is [latex]1.7[\/latex] meters tall. Convert her height to centimeters.<\/li>\r\n\t
                    2. Mount Everest is [latex]8,850[\/latex] meters tall. Convert the height to kilometers.<\/li>\r\n\t
                    3. One cup of yogurt contains [latex]488[\/latex] milligrams of calcium. Convert this to grams.<\/li>\r\n\t
                    4. One cup of yogurt contains [latex]13[\/latex] grams of protein. Convert this to milligrams.<\/li>\r\n\t
                    5. Sergio weighed [latex]2.9[\/latex] kilograms at birth. Convert this to grams.<\/li>\r\n\t
                    6. A bottle of water contained [latex]650[\/latex] milliliters. Convert this to liters.<\/li>\r\n<\/ol>\r\n

                      Write a Ratio as a Fraction<\/strong><\/h2>\r\n

                      In the following exercises, write each ratio as a fraction.<\/p>\r\n

                        \r\n\t
                      1. [latex]20[\/latex] to [latex]36[\/latex]<\/li>\r\n\t
                      2. [latex]42[\/latex] to [latex]48[\/latex]<\/li>\r\n\t
                      3. [latex]49[\/latex] to [latex]21[\/latex]<\/li>\r\n\t
                      4. [latex]84[\/latex] to [latex]36[\/latex]<\/li>\r\n\t
                      5. [latex]0.56[\/latex] to [latex]2.8[\/latex]<\/li>\r\n\t
                      6. [latex]1\\Large\\frac{2}{3}[\/latex] to [latex]2\\Large\\frac{5}{6}[\/latex]<\/li>\r\n\t
                      7. [latex]4\\Large\\frac{1}{6}[\/latex] to [latex]3\\Large\\frac{1}{3}[\/latex]<\/li>\r\n\t
                      8. [latex]$18[\/latex] to [latex]$63[\/latex]<\/li>\r\n\t
                      9. [latex]$1.21[\/latex] to [latex]$0.44[\/latex]<\/li>\r\n\t
                      10. [latex]28[\/latex] ounces to [latex]84[\/latex] ounces<\/li>\r\n\t
                      11. [latex]12[\/latex] feet to [latex]46[\/latex] feet<\/li>\r\n\t
                      12. [latex]246[\/latex] milligrams to [latex]45[\/latex] milligrams<\/li>\r\n\t
                      13. total cholesterol of [latex]175[\/latex] to HDL cholesterol of [latex]45[\/latex]<\/li>\r\n\t
                      14. [latex]27[\/latex] inches to [latex]11[\/latex] foot<\/li>\r\n\t
                      15. [latex]28[\/latex] to [latex]4056[\/latex] to [latex]32[\/latex]<\/li>\r\n\t
                      16. [latex]1.2[\/latex] to [latex]1.8[\/latex]<\/li>\r\n\t
                      17. [latex]2\\Large\\frac{1}{3}\\normalsize\\text{to}5\\Large\\frac{1}{4}[\/latex]<\/li>\r\n\t
                      18. [latex]28[\/latex] inches to [latex]3[\/latex] feet<\/li>\r\n<\/ol>\r\n

                        Write a Rate as a Fraction<\/strong><\/h2>\r\n

                        In the following exercises, write each rate as a fraction.<\/p>\r\n

                          \r\n\t
                        1. [latex]140[\/latex] calories per [latex]12[\/latex] ounces<\/li>\r\n\t
                        2. [latex]8.2[\/latex] pounds per [latex]3[\/latex]\u00a0square inches<\/li>\r\n\t
                        3. [latex]488[\/latex] miles in [latex]7[\/latex] hours<\/li>\r\n\t
                        4. [latex]$595[\/latex] for [latex]40[\/latex] hours<\/li>\r\n\t
                        5. [latex]90[\/latex] pounds per [latex]7.5[\/latex] square inches<\/li>\r\n\t
                        6. [latex]$612.50[\/latex] for [latex]35[\/latex] hours<\/li>\r\n<\/ol>\r\n

                          Find Unit Rates<\/strong><\/h2>\r\n

                          In the following exercises, find the unit rate. Round to two decimal places, if necessary.<\/p>\r\n

                            \r\n\t
                          1. [latex]140[\/latex] calories per [latex]12[\/latex] ounces<\/li>\r\n\t
                          2. [latex]8.2[\/latex] pounds per [latex]3[\/latex] square inches<\/li>\r\n\t
                          3. [latex]488[\/latex] miles in [latex]7[\/latex] hours<\/li>\r\n\t
                          4. [latex]$595[\/latex] for [latex]40[\/latex] hours<\/li>\r\n\t
                          5. [latex]576[\/latex] miles on [latex]18[\/latex] gallons of gas<\/li>\r\n\t
                          6. [latex]43[\/latex] pounds in [latex]16[\/latex] weeks<\/li>\r\n\t
                          7. [latex]46[\/latex] beats in [latex]0.5[\/latex] minute<\/li>\r\n\t
                          8. [latex]90[\/latex] pounds per [latex]7.5[\/latex] square inches<\/li>\r\n\t
                          9. [latex]$612.50[\/latex] for [latex]35[\/latex] hours<\/li>\r\n<\/ol>\r\n

                            Find Unit Price<\/strong><\/h2>\r\n

                            In the following exercises, find the unit price. Round to the nearest cent.<\/p>\r\n

                              \r\n\t
                            1. Soap bars at [latex]8[\/latex] for [latex]$8.69[\/latex]<\/li>\r\n\t
                            2. Women\u2019s sports socks at [latex]6[\/latex] pairs for [latex]$7.99[\/latex]<\/li>\r\n\t
                            3. Snack packs of cookies at [latex]12[\/latex] for [latex]$5.79[\/latex]<\/li>\r\n\t
                            4. Highlighters: [latex]6[\/latex] for [latex]$2.52[\/latex]<\/li>\r\n\t
                            5. Anna bought a pack of [latex]8[\/latex] kitchen towels for [latex]$13.20[\/latex]. How much did each towel cost? Round to the nearest cent if necessary.<\/li>\r\n<\/ol>\r\n

                              In the following exercises, find each unit price and then identify the better buy. Round to three decimal places.<\/p>\r\n

                                \r\n\t
                              1. Mouthwash, [latex]50.7[\/latex]\u2212ounce\u00a0 for [latex]$6.99[\/latex] or [latex]33.8[\/latex]\u2212ounce size for [latex]$4.79[\/latex]<\/li>\r\n\t
                              2. Breakfast cereal, [latex]18[\/latex] ounces for [latex]$3.99[\/latex] or [latex]14[\/latex] ounces for [latex]$3.29[\/latex]<\/li>\r\n\t
                              3. Ketchup, [latex]40[\/latex]\u2212ounce regular bottle for [latex]$2.99[\/latex] or [latex]64[\/latex]\u2212ounce squeeze bottle for [latex]$4.39[\/latex]<\/li>\r\n\t
                              4. Cheese[latex] $6.49[\/latex] for [latex]1[\/latex] lb. block or [latex]$3.39[\/latex] for [latex]12[\/latex] lb. block<\/li>\r\n\t
                              5. Vitamins: [latex]60[\/latex] tablets for [latex]$6.49[\/latex] or 100 for [latex]$11.99[\/latex]?<\/li>\r\n<\/ol>","rendered":"

                                Make Unit Conversions in the U.S. System<\/h2>\n

                                In the following exercises, convert the units.<\/p>\n

                                  \n
                                1. A floor tile is [latex]2[\/latex] feet wide. Convert the width to inches.<\/li>\n
                                2. Carson is [latex]45[\/latex] inches tall. Convert his height to feet.<\/li>\n
                                3. Faye is [latex]4[\/latex] feet [latex]10[\/latex] inches tall. Convert her height to inches.<\/li>\n
                                4. On a baseball diamond, the distance from home plate to first base is [latex]30[\/latex] yards. Convert the distance to feet.<\/li>\n
                                5. Denver, Colorado, is [latex]5,183[\/latex] feet above sea level. Convert the height to miles.<\/li>\n
                                6. Blue whales can weigh as much as [latex]150[\/latex] tons. Convert the weight to pounds.<\/li>\n
                                7. At take-off, an airplane weighs [latex]220,000[\/latex] pounds. Convert the weight to tons.<\/li>\n
                                8. Baby Audrey weighed [latex]6[\/latex] pounds [latex]15[\/latex] ounces at birth. Convert her weight to ounces.<\/li>\n
                                9. Lance needs [latex]500[\/latex] cups of water for the runners in a race. Convert the volume to gallons.<\/li>\n<\/ol>\n

                                  Use Mixed Units of Measurement in the U.S. System<\/h2>\n

                                  In the following exercises, solve and write your answer in mixed units.<\/p>\n

                                    \n
                                  1. 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?<\/li>\n
                                  2. 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. What was the total weight of the nuts?<\/li>\n
                                  3. Renee attached a [latex]\\text{6-foot - 6-inch}[\/latex] extension cord to her computer\u2019s [latex]\\text{3-foot - 8-inch}[\/latex] power cord. What was the total length of the cords?<\/li>\n
                                  4. Fawzi\u2019s SUV is [latex]6[\/latex] feet [latex]4[\/latex] inches tall. If he puts a [latex]\\text{2-foot - 10-inch}[\/latex] box on top of his SUV, what is the total height of the SUV and the box?<\/li>\n
                                  5. 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?<\/li>\n
                                  6. 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?<\/li>\n<\/ol>\n

                                    Make Unit Conversions in the Metric System<\/h2>\n

                                    In the following exercises, convert the units.<\/p>\n

                                      \n
                                    1. Ghalib ran [latex]5[\/latex] kilometers. Convert the length to meters.<\/li>\n
                                    2. Kitaka hiked [latex]8[\/latex] kilometers. Convert the length to meters.<\/li>\n
                                    3. Estrella is [latex]1.55[\/latex] meters tall. Convert her height to centimeters.<\/li>\n
                                    4. The width of the wading pool is [latex]2.45[\/latex] meters. Convert the width to centimeters.<\/li>\n
                                    5. Mount Whitney is [latex]3,072[\/latex] meters tall. Convert the height to kilometers.<\/li>\n
                                    6. The depth of the Mariana Trench is [latex]10,911[\/latex] meters. Convert the depth to kilometers.<\/li>\n
                                    7. June\u2019s multivitamin contains [latex]1,500[\/latex] milligrams of calcium. Convert this to grams.<\/li>\n
                                    8. A typical ruby-throated hummingbird weights [latex]3[\/latex] grams. Convert this to milligrams.<\/li>\n
                                    9. One stick of butter contains [latex]91.6[\/latex] grams of fat. Convert this to milligrams.<\/li>\n
                                    10. One serving of gourmet ice cream has [latex]25[\/latex] grams of fat. Convert this to milligrams.<\/li>\n
                                    11. The maximum mass of an airmail letter is [latex]2[\/latex] kilograms. Convert this to grams.<\/li>\n
                                    12. Dimitri\u2019s daughter weighed [latex]3.8[\/latex] kilograms at birth. Convert this to grams.<\/li>\n
                                    13. A bottle of wine contained [latex]750[\/latex] milliliters. Convert this to liters.<\/li>\n
                                    14. A bottle of medicine contained [latex]300[\/latex] milliliters. Convert this to liters.<\/li>\n<\/ol>\n

                                      Use Mixed Units of Measurement in the Metric System<\/h2>\n

                                      In the following exercises, solve and write your answer in mixed units.<\/p>\n

                                        \n
                                      1. Matthias is [latex]1.8[\/latex] meters tall. His son is [latex]89[\/latex] centimeters tall. How much taller, in centimeters, is Matthias than his son?<\/li>\n
                                      2. Stavros is [latex]1.6[\/latex] meters tall. His sister is [latex]95[\/latex] centimeters tall. How much taller, in centimeters, is Stavros than his sister?<\/li>\n
                                      3. 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?<\/li>\n
                                      4. 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?<\/li>\n
                                      5. Harry mailed [latex]5[\/latex] packages that weighed [latex]420[\/latex] grams each. What was the total weight of the packages in kilograms?<\/li>\n
                                      6. 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?<\/li>\n
                                      7. Jonas drinks [latex]200[\/latex] milliliters of water [latex]8[\/latex] times a day. How many liters of water does Jonas drink in a day?<\/li>\n
                                      8. 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?<\/li>\n<\/ol>\n

                                        Convert Between U.S. and Metric Systems<\/h2>\n

                                        In the following exercises, make the unit conversions. Round to the nearest tenth.<\/p>\n

                                          \n
                                        1. Bill is [latex]75[\/latex] inches tall. Convert his height to centimeters.<\/li>\n
                                        2. Frankie is [latex]42[\/latex] inches tall. Convert his height to centimeters.<\/li>\n
                                        3. Marcus passed a football [latex]24[\/latex] yards. Convert the pass length to meters.<\/li>\n
                                        4. Connie bought [latex]9[\/latex] yards of fabric to make drapes. Convert the fabric length to meters.<\/li>\n
                                        5. Each American throws out an average of [latex]1,650[\/latex] pounds of garbage per year. Convert this weight to kilograms.<\/li>\n
                                        6. An average American will throw away [latex]90,000[\/latex] pounds of trash over his or her lifetime. Convert this weight to kilograms.<\/li>\n
                                        7. A [latex]5[\/latex]K run is [latex]5[\/latex] kilometers long. Convert this length to miles.<\/li>\n
                                        8. Kathryn is [latex]1.6[\/latex] meters tall. Convert her height to feet.<\/li>\n
                                        9. Dawn\u2019s suitcase weighed [latex]20[\/latex] kilograms. Convert the weight to pounds.<\/li>\n
                                        10. Jackson\u2019s backpack weighs [latex]15[\/latex] kilograms. Convert the weight to pounds.<\/li>\n
                                        11. Ozzie put [latex]14[\/latex] gallons of gas in his truck. Convert the volume to liters.<\/li>\n
                                        12. Bernard bought [latex]8[\/latex] gallons of paint. Convert the volume to liters.<\/li>\n<\/ol>\n

                                          Convert between Fahrenheit and Celsius<\/h2>\n

                                          In the following exercises, convert the Fahrenheit temperature to degrees Celsius. Round to the nearest tenth.<\/p>\n

                                            \n
                                          1. [latex]86[\/latex]\u2218<\/sup>F<\/li>\n
                                          2. [latex]77[\/latex]\u2218<\/sup>F<\/li>\n
                                          3. [latex]104[\/latex]\u2218<\/sup>F<\/li>\n
                                          4. [latex]14[\/latex]\u2218<\/sup>F<\/li>\n
                                          5. [latex]72[\/latex]\u2218<\/sup>F<\/li>\n
                                          6. [latex]4[\/latex]\u2218<\/sup>F<\/li>\n
                                          7. [latex]0[\/latex]\u2218<\/sup>F<\/li>\n
                                          8. [latex]120[\/latex]\u2218<\/sup>F<\/li>\n<\/ol>\n

                                            In the following exercises, convert the Celsius temperatures to degrees Fahrenheit. Round to the nearest tenth.<\/p>\n

                                              \n
                                            1. [latex]5[\/latex]\u2218<\/sup>C<\/li>\n
                                            2. [latex]25[\/latex]\u2218<\/sup>C<\/li>\n
                                            3. [latex]\u221210[\/latex]\u2218<\/sup>C<\/li>\n
                                            4. [latex]\u221215[\/latex]\u2218<\/sup>C<\/li>\n
                                            5. [latex]22[\/latex]\u2218<\/sup>C<\/li>\n
                                            6. [latex]8[\/latex]\u2218<\/sup>C<\/li>\n
                                            7. [latex]43[\/latex]\u2218<\/sup>C<\/li>\n
                                            8. [latex]16[\/latex]\u2218<\/sup>C<\/li>\n<\/ol>\n

                                              Systems of Measurement<\/h2>\n

                                              In the following exercises, convert between U.S. units. Round to the nearest tenth.<\/p>\n

                                                \n
                                              1. A floral arbor is [latex]7[\/latex] feet tall. Convert the height to inches.<\/li>\n
                                              2. A picture frame is [latex]42[\/latex] inches wide. Convert the width to feet.<\/li>\n
                                              3. Kelly is [latex]5[\/latex] feet [latex]4[\/latex] inches tall. Convert her height to inches.<\/li>\n
                                              4. A playground is [latex]45[\/latex] feet wide. Convert the width to yards.<\/li>\n
                                              5. The height of Mount Shasta is [latex]14,179[\/latex] feet. Convert the height to miles.<\/li>\n
                                              6. Shamu weighs [latex]4.5[\/latex] tons. Convert the weight to pounds.<\/li>\n
                                              7. The play lasted [latex]1\\frac{3}{4}[\/latex] hours. Convert the time to minutes.<\/li>\n
                                              8. How many tablespoons are in a quart?<\/li>\n
                                              9. Naomi\u2019s baby weighed [latex]5[\/latex] pounds [latex]14[\/latex] ounces at birth. Convert the weight to ounces.<\/li>\n
                                              10. Trinh needs [latex]30[\/latex] cups of paint for her class art project. Convert the volume to gallons.<\/li>\n<\/ol>\n

                                                In the following exercises, solve, and state your answer in mixed units.<\/p>\n

                                                  \n
                                                1. John caught [latex]4[\/latex] lobsters. The weights of the lobsters were [latex]1[\/latex] pound [latex]9[\/latex] ounces, [latex]1[\/latex] pound [latex]12[\/latex] ounces, [latex]4[\/latex] pounds [latex]2[\/latex] ounces, and [latex]2[\/latex] pounds [latex]15[\/latex] ounces. What was the total weight of the lobsters?<\/li>\n
                                                2. Every day last week, Pedro recorded the amount of time he spent reading. He read for [latex]50, 25,83,45,32,60[\/latex], and [latex]135[\/latex] minutes. How much time, in hours and minutes, did Pedro spend reading?<\/li>\n
                                                3. Fouad is [latex]6[\/latex] feet [latex]2[\/latex] inches tall. If he stands on a rung of a ladder [latex]8[\/latex] feet [latex]10[\/latex] inches high, how high off the ground is the top of Fouad\u2019s head?<\/li>\n
                                                4. Dalila wants to make pillow covers. Each cover takes
                                                  \n[latex]30[\/latex] inches of fabric. How many yards and inches of fabric does she need for [latex]4[\/latex] pillow covers?<\/li>\n<\/ol>\n

                                                  In the following exercises, convert between metric units.<\/p>\n

                                                    \n
                                                  1. Donna is [latex]1.7[\/latex] meters tall. Convert her height to centimeters.<\/li>\n
                                                  2. Mount Everest is [latex]8,850[\/latex] meters tall. Convert the height to kilometers.<\/li>\n
                                                  3. One cup of yogurt contains [latex]488[\/latex] milligrams of calcium. Convert this to grams.<\/li>\n
                                                  4. One cup of yogurt contains [latex]13[\/latex] grams of protein. Convert this to milligrams.<\/li>\n
                                                  5. Sergio weighed [latex]2.9[\/latex] kilograms at birth. Convert this to grams.<\/li>\n
                                                  6. A bottle of water contained [latex]650[\/latex] milliliters. Convert this to liters.<\/li>\n<\/ol>\n

                                                    Write a Ratio as a Fraction<\/strong><\/h2>\n

                                                    In the following exercises, write each ratio as a fraction.<\/p>\n

                                                      \n
                                                    1. [latex]20[\/latex] to [latex]36[\/latex]<\/li>\n
                                                    2. [latex]42[\/latex] to [latex]48[\/latex]<\/li>\n
                                                    3. [latex]49[\/latex] to [latex]21[\/latex]<\/li>\n
                                                    4. [latex]84[\/latex] to [latex]36[\/latex]<\/li>\n
                                                    5. [latex]0.56[\/latex] to [latex]2.8[\/latex]<\/li>\n
                                                    6. [latex]1\\Large\\frac{2}{3}[\/latex] to [latex]2\\Large\\frac{5}{6}[\/latex]<\/li>\n
                                                    7. [latex]4\\Large\\frac{1}{6}[\/latex] to [latex]3\\Large\\frac{1}{3}[\/latex]<\/li>\n
                                                    8. [latex]$18[\/latex] to [latex]$63[\/latex]<\/li>\n
                                                    9. [latex]$1.21[\/latex] to [latex]$0.44[\/latex]<\/li>\n
                                                    10. [latex]28[\/latex] ounces to [latex]84[\/latex] ounces<\/li>\n
                                                    11. [latex]12[\/latex] feet to [latex]46[\/latex] feet<\/li>\n
                                                    12. [latex]246[\/latex] milligrams to [latex]45[\/latex] milligrams<\/li>\n
                                                    13. total cholesterol of [latex]175[\/latex] to HDL cholesterol of [latex]45[\/latex]<\/li>\n
                                                    14. [latex]27[\/latex] inches to [latex]11[\/latex] foot<\/li>\n
                                                    15. [latex]28[\/latex] to [latex]4056[\/latex] to [latex]32[\/latex]<\/li>\n
                                                    16. [latex]1.2[\/latex] to [latex]1.8[\/latex]<\/li>\n
                                                    17. [latex]2\\Large\\frac{1}{3}\\normalsize\\text{to}5\\Large\\frac{1}{4}[\/latex]<\/li>\n
                                                    18. [latex]28[\/latex] inches to [latex]3[\/latex] feet<\/li>\n<\/ol>\n

                                                      Write a Rate as a Fraction<\/strong><\/h2>\n

                                                      In the following exercises, write each rate as a fraction.<\/p>\n

                                                        \n
                                                      1. [latex]140[\/latex] calories per [latex]12[\/latex] ounces<\/li>\n
                                                      2. [latex]8.2[\/latex] pounds per [latex]3[\/latex]\u00a0square inches<\/li>\n
                                                      3. [latex]488[\/latex] miles in [latex]7[\/latex] hours<\/li>\n
                                                      4. [latex]$595[\/latex] for [latex]40[\/latex] hours<\/li>\n
                                                      5. [latex]90[\/latex] pounds per [latex]7.5[\/latex] square inches<\/li>\n
                                                      6. [latex]$612.50[\/latex] for [latex]35[\/latex] hours<\/li>\n<\/ol>\n

                                                        Find Unit Rates<\/strong><\/h2>\n

                                                        In the following exercises, find the unit rate. Round to two decimal places, if necessary.<\/p>\n

                                                          \n
                                                        1. [latex]140[\/latex] calories per [latex]12[\/latex] ounces<\/li>\n
                                                        2. [latex]8.2[\/latex] pounds per [latex]3[\/latex] square inches<\/li>\n
                                                        3. [latex]488[\/latex] miles in [latex]7[\/latex] hours<\/li>\n
                                                        4. [latex]$595[\/latex] for [latex]40[\/latex] hours<\/li>\n
                                                        5. [latex]576[\/latex] miles on [latex]18[\/latex] gallons of gas<\/li>\n
                                                        6. [latex]43[\/latex] pounds in [latex]16[\/latex] weeks<\/li>\n
                                                        7. [latex]46[\/latex] beats in [latex]0.5[\/latex] minute<\/li>\n
                                                        8. [latex]90[\/latex] pounds per [latex]7.5[\/latex] square inches<\/li>\n
                                                        9. [latex]$612.50[\/latex] for [latex]35[\/latex] hours<\/li>\n<\/ol>\n

                                                          Find Unit Price<\/strong><\/h2>\n

                                                          In the following exercises, find the unit price. Round to the nearest cent.<\/p>\n

                                                            \n
                                                          1. Soap bars at [latex]8[\/latex] for [latex]$8.69[\/latex]<\/li>\n
                                                          2. Women\u2019s sports socks at [latex]6[\/latex] pairs for [latex]$7.99[\/latex]<\/li>\n
                                                          3. Snack packs of cookies at [latex]12[\/latex] for [latex]$5.79[\/latex]<\/li>\n
                                                          4. Highlighters: [latex]6[\/latex] for [latex]$2.52[\/latex]<\/li>\n
                                                          5. Anna bought a pack of [latex]8[\/latex] kitchen towels for [latex]$13.20[\/latex]. How much did each towel cost? Round to the nearest cent if necessary.<\/li>\n<\/ol>\n

                                                            In the following exercises, find each unit price and then identify the better buy. Round to three decimal places.<\/p>\n

                                                              \n
                                                            1. Mouthwash, [latex]50.7[\/latex]\u2212ounce\u00a0 for [latex]$6.99[\/latex] or [latex]33.8[\/latex]\u2212ounce size for [latex]$4.79[\/latex]<\/li>\n
                                                            2. Breakfast cereal, [latex]18[\/latex] ounces for [latex]$3.99[\/latex] or [latex]14[\/latex] ounces for [latex]$3.29[\/latex]<\/li>\n
                                                            3. Ketchup, [latex]40[\/latex]\u2212ounce regular bottle for [latex]$2.99[\/latex] or [latex]64[\/latex]\u2212ounce squeeze bottle for [latex]$4.39[\/latex]<\/li>\n
                                                            4. Cheese[latex]$6.49[\/latex] for [latex]1[\/latex] lb. block or [latex]$3.39[\/latex] for [latex]12[\/latex] lb. block<\/li>\n
                                                            5. Vitamins: [latex]60[\/latex] tablets for [latex]$6.49[\/latex] or 100 for [latex]$11.99[\/latex]?<\/li>\n<\/ol>\n","protected":false},"author":23,"menu_order":25,"template":"","meta":{"_candela_citation":"[]","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"part":62,"module-header":"practice","content_attributions":[],"internal_book_links":[],"video_content":null,"cc_video_embed_content":{"cc_scripts":"","media_targets":[]},"try_it_collection":null,"_links":{"self":[{"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapters\/4922"}],"collection":[{"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/wp\/v2\/users\/23"}],"version-history":[{"count":29,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapters\/4922\/revisions"}],"predecessor-version":[{"id":14306,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapters\/4922\/revisions\/14306"}],"part":[{"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/parts\/62"}],"metadata":[{"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapters\/4922\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/wp\/v2\/media?parent=4922"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapter-type?post=4922"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/wp\/v2\/contributor?post=4922"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/wp\/v2\/license?post=4922"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}