# 1,892.7 ml. 4-7 Convert Between Systems. Complete. Round to the nearest hundredth if necessary in. cm SOLUTION:

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1 Complete. Round to the nearest hundredth if necessary in. cm Since 1 inch 2.54 centimeters, multiply by. So, 5 inches is approximately 12.7 centimeters qt ml Since milliliters 1 quart, multiply by. So, 2 quarts is approximately 1,892.7 milliliters. 1,892.7 ml kg lb Since 1 pound kilogram, multiply by. So, kilograms is approximately pounds esolutions Manual - Powered by Cognero Page 1

2 4. 4 L gal Since 1 gallon 3.79 liters, multiply by. So, 4 liters is approximately 1.06 gallons gallons ml c Since 1 cup milliliters, multiply by. So, 10 milliliters is approximately 0.04 cup T kg Since 1 ton kilograms, multiply by. So, 63.5 tons is approximately 57,607.2 kilograms. 57,607.2 esolutions Manual - Powered by Cognero Page 2

3 m ft Since 1 foot 0.30 meter, multiply by. So, meters is approximately feet T kg Since 1 ton kilograms, multiply by. So, 3 tons is approximately 2,721.6 kilograms. 2, g lb Since 1 pound grams, multiply by. So, grams is approximately 1.5 pounds. 1.5 esolutions Manual - Powered by Cognero Page 3

4 10. A notebook computer has a mass of 2.25 kilograms. About how many pounds does the notebook weigh? Since 1 pound kilogram, multiply by. The notebook weighs approximately 4.96 pounds lb 11. A glass bottle holds 3.75 cups of water. About how many milliliters of water can the bottle hold? Since 1 cup is about equal to milliliters, multiply by. So, 3.75 cups is approximately ml ml 12. A Cabbage Palmetto has a height of 80 feet. What is the approximate height of the tree in meters? Since 1 foot 0.30 meter, multiply by. The tree is approximately 24 meters tall. 24 m esolutions Manual - Powered by Cognero Page 4

5 Persevere with Problems Determine the greater amount for the situation. 13. Which box is greater, a 1.5-pound box of raisins or a 650-gram box of raisins? Since 1 pound grams, multiply 1.5 pounds by. So, 1.5 pounds is approximately grams. Since g > 650 g, a 1.5-pound box of raisins is greater than a 650- gram box. 1.5 lb 14. Which is greater a 2.75-gallon container of juice or a 12-liter container of juice? Since 3.79 liters is approximately 1 gallon, multiply by. Since < 12, the 12-liter container of juice is greater. 12 liter 15. Reason Inductively One gram of water has a volume of 1 milliliter. What is the volume of the water if it has a mass of 1 kilogram? Since 1 gram of water has a volume of 1 milliliter and 1 kilogram = 1,000 grams, then 1 kilogram, or 1,000 grams, of water has a volume of 1,000 1 milliliter or 1,000 milliliters, which is also equivalent to 1 L. 1,000 ml or 1 L esolutions Manual - Powered by Cognero Page 5

6 16. Persevere with Problems The distance from Earth to the Sun is approximately 93 million miles. About how many gigameters is this? Round to the nearest hundredth. (Hint: In 1 gigameter there are about 621, miles.) Since 1 gigameter 621, miles, multiply by. So, the distance from the Earth to the Sun is approximately gigameters. about gigameters esolutions Manual - Powered by Cognero Page 6

7 Be Precise Order the set of measures from greatest to least cm, 0.6 in., m, 0.1 ft Convert each measure to meters. Convert 1.2 centimeters to meters. Use the relationship 1 centimeter = 0.01 meter. Convert 0.6 inch to meters. Since 1 inch 2.54 centimeters and 1 centimeter = 0.01 meter, multiply by or. Convert 0.1 foot to meters. Since 1 foot 0.3 meter, multiply by. So, 1.2 centimeters is meter, 0.6 inch is approximately 0.02 meter, and 0.1 foot is approximately 0.03 meter. Since, the order from greatest to least is m, 0.1 ft, 0.6 in. and 1.2 cm m, 0.1 ft, 0.6 in., 1.2 cm esolutions Manual - Powered by Cognero Page 7

8 18. 2 lb, 891 g, 1 kg, 0.02 T Convert each measure to grams. Convert 2 pounds to grams. Since 1 pound is grams, multiply by. Convert 1 kilogram to grams. 1 kilogram = 1,000 grams Convert 1 ton to grams. Since 1 ton kilograms and 1 kilogram = 1,000 grams, multiply by or. So, 2 pounds is approximately grams, 1 kilogram is 1,000 grams, and 0.02 ton is approximately 18,144 grams. Since, the order from greatest to least is 0.02 T, 1 kg, 2 lb, 891 g T, 1 kg, 2 lb, 891 g esolutions Manual - Powered by Cognero Page 8

9 19. c, 0.4 L, 950 ml, 0.7 gal Convert each measure to milliliters. Convert cups to milliliters. Since 1 cup = milliliters, multiply by. Convert 0.4 liter to milliliters. Use the relationship 1 liter = 1,000 milliliters. Convert 0.7 gallon to milliliters. Since 1 gallon 3.79 liters and 1 liter = 1,000 milliliters, multiply by or. So, cup is approximately milliliters, 0.4 liter is 400 milliliters, and 0.7 gallon is approximately 2,653 milliliters. Since, the order from greatest to least is 0.7 gal, 950 ml, 0.4 L, c. 0.7 gal, 950 ml, 0.4 L, c esolutions Manual - Powered by Cognero Page 9

10 ft, 48 in., 1.3 m, 120 cm Convert each measure to centimeters. Convert 4.5 feet to centimeters. Since 1 foot is 30 centimeters, multiply by. Convert 48 inches to centimeters. Since 1 inch 2.54 centimeters, multiply by. Convert 1.3 meters to centimeters. 1.3 meters = 130 centimeters So, 4.5 feet is approximately 135 centimeters, 48 inches is approximately centimeters, and 1.3 meters is 130 centimeters. Since, the order from greatest to least is 4.5 ft, 1.3 m, 48 in., 120 cm. 4.5 ft, 1.3 m, 48 in., 120 cm esolutions Manual - Powered by Cognero Page 10

11 21. Model with Mathematics Convert inches and inches to centimeters. Round to the nearest tenth. Then draw a segment whose length is between those two measures. Change each fraction into a decimal, and then convert each measurement to centimeters. So,. So, 1 inch is approximately 2.54 centimeters, so multiply by. So, and. See students' work for drawings. 5.4 cm; 6.7 cm; See students' work for drawings Complete. Round to the nearest hundredth if necessary cm in. Since 1 inch 2.54 centimeters, multiply by. So, 15 centimeters is approximately 5.91 inches esolutions Manual - Powered by Cognero Page 11

12 lb kg Since 1 pound kilogram, multiply by. So, 350 pounds is approximately kilograms mi km Since 1 mile 1.61 kilometers, multiply by. So, 17 miles is approximately kilometers gal L Since 1 gallon 3.79 liters, multiply by. So, 32 gallons is approximately liters esolutions Manual - Powered by Cognero Page 12

13 ml fl oz Since 1 cup milliliters and 1 cup = 8 fluid ounces, multiply by. So, 50 milliliters is approximately 1.69 fluid ounces kg lb Since 1 pound kilogram, multiply by. So, 19 kilograms is approximately pounds The Willis Tower has a height of 1,451 feet. What is the estimated height of the building in meters? Since 1 foot 0.30 meter, multiply by. The Willis Tower is approximately meters tall m esolutions Manual - Powered by Cognero Page 13

14 29. Which is greater, a bottle containing 64 fluid ounces of water or a bottle containing 2 liters of water? Since 1 cup milliliters, 1 liter = 1,000 milliliters, and 1 cup = 8 fluid ounces, multiply 64 fluid ounces by or. So, 64 fluid ounces is approximately 1.89 liters. Since 1.89 L < 2 L, the bottle containing 2 liters of water is greater. 2 L 30. Use Math Tools A bakery uses 900 grams of peaches in a cobbler. About how many pounds of peaches does the bakery use in a cobbler? Since 1 pound grams, multiply by. The bakery uses about 1.98 pounds of peaches lb esolutions Manual - Powered by Cognero Page 14

15 Determine which quantity is greater gal, 10 L Since 1 gallon 3.79 liters, multiply 3 gallons by. So, 3 gallons is approximately liters. Since L > 10 L, 3 gallons is greater. 3 gal oz, 0.4 kg Since 1 pound = 16 ounces and 1 pound kilogram, multiply 14 ounces by. So, 14 ounces is approximately kilogram. Since kg < 0.4 kg, 0.4 kilograms is greater. 0.4 kg mi, 6.2 km Since 1 mile 1.61 kilometers, multiply 4 miles by. So, 4 miles is approximately 6.44 kilometers. Since 6.44 km > 6.2 km, 4 miles is greater. 4 mi esolutions Manual - Powered by Cognero Page 15

16 34. Velocity is a rate usually expressed in feet per second or meters per second. How can the units help you calculate velocity using the distance a car traveled and the time recorded? The units feet/second and meters/second each show a distance divided by a time. Therefore you would calculate velocity by dividing the distance a car traveled by the time recorded. Sample answer: The rate meters/second indicates division, so velocity is distance divided by time. Sample answer: The rate meters/second indicates division, so velocity is distance divided by time. 35. The diagram shows the length of a fork from the cafeteria. Which measurements are approximately equal to the length of the fork? Select all that apply 15.2 cm m 152 cm 1.52 m Convert the inches into centimeters, and then convert centimeters into meters. Since 1 inch 2.54 centimeters, multiply by. The fork is approximately 15.2 centimeters. The first measurement is correct, while 152 cm is not. Convert centimeters into meters. Since 1 meter = 100 centimeters, multiply by. The fork is approximately meters. The second measurement is correct, while the fourth is not cm m 152 cm 1.52 m 36. The masses of 4 different animals from a zoo are shown in the table. Convert each measure to pounds. Then sort the animals from least to greatest weight. esolutions Manual - Powered by Cognero Page 16

17 How many pounds greater is the heaviest animal than the lightest animal? Explain how you can use units to be sure you are multiplying by the correct fraction when converting between measurement systems. Give an example. Convert kilograms to pounds. Since 1 pound kilograms, multiply by. Brown Bear: So, the brown bear weighs approximately 600 pounds. Giraffe: So, the giraffe weighs approximately 2,500 pounds. Lion: So, the lion weighs approximately 500 pounds. Rhinoceros: So, the lion weighs approximately 3500 pounds. esolutions Manual - Powered by Cognero Page 17

18 Comparing all of the weights, the animals from least to greatest weight would be: lion, brown bear, giraffe, and rhinoceros. To determine how many pounds greater the heaviest animal is than the lightest animal, subtract 500 pounds from 3,500 pounds. 3,500 lb lb = 3,000 lb. So, the difference between the two weights is 3,000 pounds. Sample answer: When converting between measurement systems, you need to make sure that you can divide out common units. For example, to convert kilograms to pounds, multiply kg by common units are divided out, you are left with or 500 pounds.. When the ; 3,000 lb; Sample answer: When converting between measurement systems, you need to make sure that you can divide out common units. For example, to convert kilograms to pounds, multiply kg by. When the common units are divided out, you are left with or 500 pounds. Convert. Round to the nearest tenth if necessary ft = yd Since 1 yard = 3 feet, multiply by. 5.7 esolutions Manual - Powered by Cognero Page 18

19 in. = ft Since 1 foot = 12 inches, multiply by mi = ft Since 5,280 feet = 1 mile, multiply by. 15, A skyscraper is kilometer tall. What is the height of the skyscraper in meters? Use the relationship 1 kilometer = 1,000 meters. The height of the skyscraper is 484 meters. 484 m esolutions Manual - Powered by Cognero Page 19

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