Converting Units of Measurement

  Convert the following: 1. 36.52 mg = ___________________g 2. 14.72 kg = ___________________mg 3. .0035 hm = ___________________dm 4. .134 m = ___________________ km 5. 25 mm = ___________________ cm 6. 2.5 cm3 = ___________________ mL 7. 243 daL = ___________________ L 8. 45.23 L = ___________________ mL 9. .035 hL = ___________________ cL 10. 27.32 mm = ___________________m 11. 15 m = ___________________dm 12. .023 cc = ___________________ L 13. .00049 km = ___________________ mm 14. .025 kg = ___________________ g 15. 15 g = ___________________ hg Here’s a chart to help you with your conversions! Kilo Hecto Deka Main Deci Centi Milli 1,000 100 10 1 .1 .01 .001 Now, solve the following measuring problems. There’s a triangle to help you on the next page! 16. If you have a density of 3 g/mL and a mass of 15 g, what is the volume? 17. If you have a density of 3 g/mL and a volume of 10 mL, what is the mass? 18. If you have a volume of 10 mL and a mass of 100 kg, what is the density? 19. If you have a mass of 50 g and a density of 2 g/mL, what is the volume? 20. If you have a volume of 55 L and a density of 2 kg/L, what is the mass? 21. If you have a density of 15 g/mL and a mass of 5 g, what is the volume? (Don’t use fractions–change it to a decimal form) 22. If you have a volume of 8L and a mass of 16 kg, what is the density? 23. If you have a density of 2.5 g/mL and a mass of 5 g, what is the volume? 24. If you have a density of 100 kg/L, and a mass of 1000 units, tell me the following: First what are the mass units? 25. Secondly, what is the volume?  
Converting Units of Measurement Converting units of measurement is a fundamental skill in mathematics and science. Whether you are working with mass, length, or volume, understanding how to convert between different units is essential. In this article, we will explore various conversions and solve some measuring problems. Let's dive in! Converting Mass 36.52 mg = _________________ g To convert milligrams (mg) to grams (g), we divide by 1000 since there are 1000 milligrams in a gram. Therefore, 36.52 mg is equal to 0.03652 g. 14.72 kg = _________________ mg To convert kilograms (kg) to milligrams (mg), we multiply by 1,000,000 since there are 1,000,000 milligrams in a kilogram. Therefore, 14.72 kg is equal to 14,720,000 mg. 0.0035 hm = _________________ dm To convert hectometers (hm) to decimeters (dm), we multiply by 10 since there are 10 decimeters in a hectometer. Therefore, 0.0035 hm is equal to 0.035 dm. 0.134 m = _________________ km To convert meters (m) to kilometers (km), we divide by 1000 since there are 1000 meters in a kilometer. Therefore, 0.134 m is equal to 0.000134 km. 25 mm = _________________ cm To convert millimeters (mm) to centimeters (cm), we divide by 10 since there are 10 millimeters in a centimeter. Therefore, 25 mm is equal to 2.5 cm. 2.5 cm^3 = _________________ mL Cubic centimeters (cm^3) and milliliters (mL) are equivalent units of volume. Therefore, 2.5 cm^3 is equal to 2.5 mL. 243 daL = _________________ L To convert dekaliters (daL) to liters (L), we multiply by 10 since there are 10 liters in a dekaliter. Therefore, 243 daL is equal to 2430 L. 45.23 L = _________________ mL To convert liters (L) to milliliters (mL), we multiply by 1000 since there are 1000 milliliters in a liter. Therefore, 45.23 L is equal to 45,230 mL. 0.035 hL = _________________ cL To convert hectoliters (hL) to centiliters (cL), we multiply by 100 since there are 100 centiliters in a hectoliter. Therefore, 0.035 hL is equal to 3.5 cL. 27.32 mm = _________________ m To convert millimeters (mm) to meters (m), we divide by 1000 since there are 1000 millimeters in a meter. Therefore, 27.32 mm is equal to 0.02732 m. 15 m = _________________ dm To convert meters (m) to decimeters (dm), we multiply by 10 since there are 10 decimeters in a meter. Therefore, 15 m is equal to 150 dm. 0.023 cc = _________________ L To convert cubic centimeters (cc) to liters (L), we divide by 1000 since there are 1000 cubic centimeters in a liter. Therefore, 0.023 cc is equal to 0.000023 L. 0.00049 km = _________________ mm To convert kilometers (km) to millimeters (mm), we multiply by 1,000,000 since there are 1,000,000 millimeters in a kilometer. Therefore, 0.00049 km is equal to 490 mm. 0.025 kg = _________________ g To convert kilograms (kg) to grams (g), we multiply by 1000 since there are 1000 grams in a kilogram. Therefore, 0.025 kg is equal to 25 g. 15 g = _________________ hg To convert grams (g) to hectograms (hg), we divide by 100 since there are 100 grams in a hectogram. Therefore, 15 g is equal to 0.15 hg. Solving Measuring Problems Now that we have covered the conversions, let's solve some measuring problems using the given density, mass, and volume values. If you have a density of 3 g/mL and a mass of 15 g, what is the volume? Using the formula density = mass/volume, we can rearrange it to find the volume: volume = mass/density. Therefore, the volume would be: volume = 15 g / 3 g/mL = 5 mL. If you have a density of 3 g/mL and a volume of 10 mL, what is the mass? Using the same formula as above, mass = density * volume. So, the mass would be: mass = 3 g/mL * 10 mL = 30 g. If you have a volume of 10 mL and a mass of 100 kg, what is the density? Density is calculated as mass/volume. Therefore, the density would be: density = mass/volume =100 kg /10 mL =10 kg/mL. If you have a mass of 50 g and a density of 2 g/mL, what is the volume? Using the formula density = mass/volume, we can rearrange it to find the volume: volume = mass/density. So, the volume would be: volume =50 g/2 g/mL=25 mL. If you have a volume of 55 L and a density of 2 kg/L, what is the mass? Again using the formula density = mass/volume, we can rearrange it to find the mass: mass = density * volume. Therefore, the mass would be: mass =2 kg/L *55 L=110 kg. 21.If you have a density of 15 g/mL and a mass of 5 g, what is the volume? Following the same formula as above: volume = mass/density. The volume would be: volume =5 g /15 g/mL=0.333 mL. 22.If you have a volume of 8 L and a mass of16 kg ,what is the density? Density is calculated as mass/volume. The density would be: density=mass/volume=16 kg /8 L=2 kg/L. 23.If you have a density of2 .5 g/mL and a mass of5 g ,what is the volume? Using the formula density = mass/volume: volume=mass/density. The volume would be: volume=5 g /2 .5 g/mL=2 mL. 24.If you have a density of100 kg/L and a mass of1000 units ,tell me the following: First what are the mass units? The given mass is in "units" which cannot be determined without further information about the specific unit being used. 25.Secondly ,what is the volume? Using the formula density = mass/volume: volume=mass/density. The volume would be: volume=1000 units/100 kg/L=10 L. In conclusion, understanding how to convert units of measurement and apply them to solve measuring problems is crucial in various fields such as science and mathematics. By mastering these conversion techniques and formulas, you can confidently work with different units and effectively analyze real-world scenarios involving mass, length, and volume measurements.  

Sample Answer