1. **Problem Statement:** Convert between kilometers and meters using the conversion factor 1 km = 1,000 m.
2. **Formula:**
$$\text{meters} = \text{kilometers} \times 1000$$
$$\text{kilometers} = \frac{\text{meters}}{1000}$$
3. **Conversions:**
**a.** $3\text{ km} = 3 \times 1000 = 3000\text{ m}$
**b.** $2\text{ km} = 2 \times 1000 = 2000\text{ m}$
**c.** $\text{km} = \frac{5000}{1000} = 5\text{ km}$
**d.** $\text{km} = \frac{8000}{1000} = 8\text{ km}$
**e.** $12\text{ km} = 12 \times 1000 = 12000\text{ m}$
**f.** $15\text{ km} = 15 \times 1000 = 15000\text{ m}$
**g.** $\text{km} = \frac{6000}{1000} = 6\text{ km}$
**h.** $\text{km} = \frac{9000}{1000} = 9\text{ km}$
**i.** $14\text{ km} = 14 \times 1000 = 14000\text{ m}$
**j.** $7\text{ km} = 7 \times 1000 = 7000\text{ m}$
**k.** $\text{km} = \frac{20000}{1000} = 20\text{ km}$
**l.** $\text{km} = \frac{18000}{1000} = 18\text{ km}$
4. **Word Problems:**
**m.** Elyse ran 3 km and walked 2000 m.
Convert 3 km to meters:
$$3 \times 1000 = 3000\text{ m}$$
Difference in meters:
$$3000 - 2000 = 1000\text{ m}$$
**Answer:** Elyse ran 1000 meters more than she walked.
**n.** Cory walks 1000 m and rides bus 3000 m.
Total distance in meters:
$$1000 + 3000 = 4000\text{ m}$$
Convert to kilometers:
$$\frac{4000}{1000} = 4\text{ km}$$
**Answer:** Cory travels 4 kilometers to get to school.
Linear Conversions 72D51E
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