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