179 CH 31 MEASURING WEIGHT The Basic Facts: ounces (oz), pounds (lb), and tons 16 oz = 1 lb 2,000 lb = 1 ton Why is pound abbreviated lb? It comes from the Latin word libra, which means “scales.” The following are the four possible conversion factors in the U.S. measurement system that we get from these basic facts: 1 lb 16 oz 2,000 lb 1 ton 16 oz 1 lb 1 ton 2,000 lb Each fraction equals 1 Conversion Examples EXAMPLE 1: Convert 80,000 ounces to tons. Solution: Ounces are tiny compared to tons, so we expect that 80,000 ounces will end up being a much smaller number of tons. To get from ounces to tons, we need to pass through pounds. As we did with the inches, feet, etc., we start by writing the given problem over 1, followed by multiplying by conversion factors until the only unit of measurement which remains is tons. 80,000 oz 80,000 ton 1 lb 1 ton = = 2.5 tons 1 32,000 16 oz 2,000 lb Ch 31 Measuring Weight 180 EXAMPLE 2: Convert 1.2 tons to ounces. Solution: Tons are huge compared to ounces, so we expect that 1.2 tons will end up being a much, much larger number of ounces. To get from tons to ounces, we need to pass through pounds: 1.2 ton 2,000 lb 16 oz = 38,400 oz 1 1 ton 1 lb Homework Convert: 1. 3 tons to lb 2. 28 oz to lb 3. 0.3 lb to oz 4. 7,500 lb to tons 5. 3.9 tons to lb 6. 2.9 tons to oz 7. 20 oz to lb 8. 2.2 tons to lb 9. 1.4 tons to oz 10. 320 lb to tons 11. 12,800 oz to tons 12. 1.8 lb to oz 13. 1.5 tons to lb 14. 1.6 tons to oz 15. 2.8 lb to oz 16. 96,000 oz to tons 17. 89.6 oz to lb 18. 640 oz to tons “Mathematics is the music of reason.” Solutions 1. 6,000 lb 2. 1.75 lb 3. 4.8 oz 4. 3.75 tons 5. 7,800 lb 6. 92,800 oz 7. 1.25 lb 8. 4,400 lb 9. 44,800 oz 10. 0.16 ton 11. 0.4 ton 12. 28.8 oz 13. 3,000 lb 14. 51,200 oz 15. 44.8 oz 16. 3 tons 17. 5.6 lb 18. 0.02 ton Ch 31 Measuring Weight James Joseph Sylvester
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