University:
California Institute of Technology
Course:
ACM 206 | Topics in Computational Mathematics
Academic year:

2020
Views:

176

Pages:

2
Author:

5CelestialChronicle

Customary Units of Capacity The capacity of a container is the amount it can hold. How many more pints of water is 15 gallons than 10 gallons? To solve this problem, rename the number of gallons as quarts. Then rename the number of quarts as pints. Multiply to rename larger units as smaller units. Rename the number of gallons as quarts. 10 gallons u 4 quarts/gallon t 40 quarts 15 gallons u 4 quarts/gallon t 60 quarts Units of Capacity 1 cup (c) t 8 fluid ounces (fl oz) 1 pint (pt) t 2 cups 1 quart (qt) t 2 pints 1 gallon (gal) t 4 quarts Rename the number of quarts as pints. 40 quarts u 2 pints/quart t 80 pints 60 quarts u 2 pints/quart t 120 pints Subtract to find the difference: 120 s 80 t 40. 15 gallons is 40 more pints than 10 gallons. MORE PRACTICE Rename the measures. 1. 8 c t 3. 5 qt t 5. 9 c t 7. 11 qt t 9. 4 c t 64 10 72 22 32 12 fl oz 2. 6 pt t pt 4. 9 gal t 36 fl oz 6. 4 pt t 8 pt 8. 10 gal t fl oz 10. 12 qt t c qt c 40 24 qt pt Compare. Use <, =, or >. 11. 2 pt U 4 c 12. 26 qt < 7 gal 13. 60 fl oz > 7c HOMEWORK Compare. Use <, =, or >. 1. 20 gal < 2. 12 c U 96 fl oz 82 qt 3. 14 pt < 29 c Choose the correct answer. 4. Which measure is the best estimate of the capacity of a kitchen sink? 5. Which measure is the best estimate for the capacity of a bottle of shampoo? A. 3 c B. 2 pt A. 7 c B. 5 qt C. 4 gal D. 7 fl oz C. 6 gal D. 8 fl oz Problem Solving 6. Juan fills a 15-gallon fish tank with water. He uses a plastic container that holds 3 quarts. How many times does Juan need to fill the container when filling his fish tank? Explain. 20 times; Explanations will vary. Sample explanation: I multiplied 15 gallons by 4 quarts/gallon to get 60 quarts. The container holds 3 quarts, so I need to figure out what number times 3 equals 60, which is 20. 7. Anaya brings 5 pints of water on a hike. Elise brings 7 pints of water on the hike. How many more fluid ounces of water does Elise bring than Anaya? Explain how you found your answer. 32 fluid ounces; Explanations will vary. Sample explanation: 8 fluid ounces t 1 cup, and 2 cups t 1 pint, so I multiplied the number of pints by 16 to get the number of fluid ounces. Anaya: 5 u 16 t 80. Elise: 7 u 16 t 112. 112 s 80 t 32. Write About It 8. When renaming a number of gallons as a number of quarts, which number will be greater? Use an example to explain. The number of quarts will be greater. Explanations will vary. Sample explanation: I multiply by 4 to rename a number of gallons as a number of quarts. So 5 gallons U 5 T 4 U 20 quarts.

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