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Weight Conversion 7Dd7C5

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1. **Stating the problem:** Convert between kilograms (kg) and grams (g) and answer weight comparison questions. 2. **Formula and rules:** - 1 kilogram = 1,000 grams - To convert kg to g, multiply by 1,000: $$\text{grams} = \text{kilograms} \times 1000$$ - To convert g to kg, divide by 1,000: $$\text{kilograms} = \frac{\text{grams}}{1000}$$ 3. **Conversions:** - 8 kg to grams: $$8 \times 1000 = 8000 \text{ g}$$ - 2,000 g to kilograms: $$\frac{2000}{1000} = 2 \text{ kg}$$ - 5,000 g to kilograms: $$\frac{5000}{1000} = 5 \text{ kg}$$ - 7 kg to grams: $$7 \times 1000 = 7000 \text{ g}$$ - 10,000 g to kilograms: $$\frac{10000}{1000} = 10 \text{ kg}$$ - 30 kg to grams: $$30 \times 1000 = 30000 \text{ g}$$ 4. **Weight estimates:** - A squirrel weighs about 100 grams (b). - A cell phone weighs about 120 grams (b). - A watermelon weighs about 2 kilograms (b). 5. **Comparing Jan's and Carl's cats:** - Jan's cat: 4 kg = $$4 \times 1000 = 4000 \text{ g}$$ - Carl's cat: 2900 g - Since 4000 g > 2900 g, Jan's cat is heavier. **Final answers:** 4. 8 kg = 8000 g 5. 2,000 g = 2 kg 6. 5,000 g = 5 kg 7. 7 kg = 7000 g 8. 10,000 g = 10 kg 9. 30 kg = 30000 g 10. Jan's cat is heavier because 4000 g > 2900 g.