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Unit Conversions

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Unit Conversions


1. **Problem:** Convert the given units as per the instructions. 2. **Conversions for problem 7:** - a) Convert 17.2 km to meters. Formula: $1\text{ km} = 1000\text{ m}$ Calculation: $17.2 \times 1000 = 17200$ m - b) Convert 0.9 hL to liters. Formula: $1\text{ hL} = 100\text{ L}$ Calculation: $0.9 \times 100 = 90$ L - c) Convert 1.5 Gg to grams. Formula: $1\text{ Gg} = 10^9\text{ g}$ Calculation: $1.5 \times 10^9 = 1.5 \times 10^9 = 1500000000$ g 3. **Conversions for problem 8:** - a) Convert 760 cm to meters. Formula: $100\text{ cm} = 1\text{ m}$ Calculation: $760 \div 100 = 7.6$ m - b) Convert 43,000 mL to liters. Formula: $1000\text{ mL} = 1\text{ L}$ Calculation: $43000 \div 1000 = 43$ L - c) Convert 900,000 μg to grams. Formula: $1,000,000\text{ μg} = 1\text{ g}$ Calculation: $900000 \div 1000000 = 0.9$ g 4. **Conversions for problem 9 (distance table):** - Venus: $47,900,000$ m = $47.9$ Mm (given) - Earth: $108,000,000$ m to Mm Formula: $1\text{ Mm} = 10^6\text{ m}$ Calculation: $108000000 \div 10^6 = 108$ Mm - Jupiter: $228,000,000$ m to Gm Formula: $1\text{ Gm} = 10^9\text{ m}$ Calculation: $228000000 \div 10^9 = 0.228$ Gm - Uranus: $1,400,000,000$ m to Gm Calculation: $1400000000 \div 10^9 = 1.4$ Gm - Neptune: $2,900,000,000$ m to Gm Calculation: $2900000000 \div 10^9 = 2.9$ Gm 5. **Matching cards for problem 10:** Convert meters to appropriate units: - A Dust mite: $0.0002$ m = $200$ μm (since $1\text{ m} = 10^6\text{ μm}$) - B Bacterium: $0.000002$ m = $2$ μm - C Virus: $0.0000001$ m = $100$ nm (since $1\text{ m} = 10^9\text{ nm}$) - D Animal cell: $0.00002$ m = $20$ μm - E Plant cell: $0.0001$ m = $100$ μm Match with cards: - i) 100 nm → C Virus - ii) 20 μm → D Animal cell - iii) 200 μm → A Dust mite - iv) 100 μm → E Plant cell - v) 2 μm → B Bacterium **Final answers:** 7a) 17200 m 7b) 90 L 7c) 1500000000 g 8a) 7.6 m 8b) 43 L 8c) 0.9 g 9 Earth: 108 Mm 9 Jupiter: 0.228 Gm 9 Uranus: 1.4 Gm 9 Neptune: 2.9 Gm 10 Matches: A-iii, B-v, C-i, D-ii, E-iv