Subjects unit conversion

Unit Conversions 14D185

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

Question: User: 1. 35 mL = ________ dL 2. 950 g = ________ kg 3. 275 mm = ________ cm 4. 1000 L = ________ kL 5. 1000 mL = ________ L 6. 4500 mg = ________ g 7. 25 cm = ________ mm 8. 0.005 kg = ________ dag 9. 0.075 m = ________ cm 10. 15 g = ________ mg
1. **Problem:** Convert $35$ milliliters (mL) to deciliters (dL). **Formula:** $1\,\text{dL} = 100\,\text{mL}$. **Calculation:** $$35\,\text{mL} \times \frac{1\,\text{dL}}{100\,\text{mL}} = \frac{35}{100} = 0.35\,\text{dL}$$ 2. **Problem:** Convert $950$ grams (g) to kilograms (kg). **Formula:** $1\,\text{kg} = 1000\,\text{g}$. **Calculation:** $$950\,\text{g} \times \frac{1\,\text{kg}}{1000\,\text{g}} = \frac{950}{1000} = 0.95\,\text{kg}$$ 3. **Problem:** Convert $275$ millimeters (mm) to centimeters (cm). **Formula:** $1\,\text{cm} = 10\,\text{mm}$. **Calculation:** $$275\,\text{mm} \times \frac{1\,\text{cm}}{10\,\text{mm}} = \frac{275}{10} = 27.5\,\text{cm}$$ 4. **Problem:** Convert $1000$ liters (L) to kiloliters (kL). **Formula:** $1\,\text{kL} = 1000\,\text{L}$. **Calculation:** $$1000\,\text{L} \times \frac{1\,\text{kL}}{1000\,\text{L}} = \frac{1000}{1000} = 1\,\text{kL}$$ 5. **Problem:** Convert $1000$ milliliters (mL) to liters (L). **Formula:** $1\,\text{L} = 1000\,\text{mL}$. **Calculation:** $$1000\,\text{mL} \times \frac{1\,\text{L}}{1000\,\text{mL}} = \frac{1000}{1000} = 1\,\text{L}$$ 6. **Problem:** Convert $4500$ milligrams (mg) to grams (g). **Formula:** $1\,\text{g} = 1000\,\text{mg}$. **Calculation:** $$4500\,\text{mg} \times \frac{1\,\text{g}}{1000\,\text{mg}} = \frac{4500}{1000} = 4.5\,\text{g}$$ 7. **Problem:** Convert $25$ centimeters (cm) to millimeters (mm). **Formula:** $1\,\text{cm} = 10\,\text{mm}$. **Calculation:** $$25\,\text{cm} \times 10 = 250\,\text{mm}$$ 8. **Problem:** Convert $0.005$ kilograms (kg) to decagrams (dag). **Formula:** $1\,\text{kg} = 100\,\text{dag}$. **Calculation:** $$0.005\,\text{kg} \times 100 = 0.5\,\text{dag}$$ 9. **Problem:** Convert $0.075$ meters (m) to centimeters (cm). **Formula:** $1\,\text{m} = 100\,\text{cm}$. **Calculation:** $$0.075\,\text{m} \times 100 = 7.5\,\text{cm}$$ 10. **Problem:** Convert $15$ grams (g) to milligrams (mg). **Formula:** $1\,\text{g} = 1000\,\text{mg}$. **Calculation:** $$15\,\text{g} \times 1000 = 15000\,\text{mg}$$