Subjects measurement

Linear Conversions 72D51E

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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.