Mixed Unit Conversion worksheet with 26 problems for converting between various units of measurement.
Worksheet titled "Mixed Unit Conversion" with 26 problems converting between different units of measurement, including meters, centimeters, kilograms, grams, liters, milliliters, miles, yards, and pounds.
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Step-by-step solution for: Mixed Unit Conversion | Measurement worksheets, Chemistry ...
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Show Answer Key & Explanations
Step-by-step solution for: Mixed Unit Conversion | Measurement worksheets, Chemistry ...
To solve the mixed unit conversion problems, we need to use the appropriate conversion factors for each unit. Below are the solutions with explanations:
---
#### Length
1. 345 m = _______ cm
- 1 meter = 100 centimeters
- \( 345 \times 100 = 34500 \) cm
- Answer: 34500 cm
2. 3 km = _______ mm
- 1 kilometer = 1,000,000 millimeters
- \( 3 \times 1,000,000 = 3,000,000 \) mm
- Answer: 3,000,000 mm
3. 600.008 cm = _______ km
- 1 centimeter = 0.00001 kilometers
- \( 600.008 \times 0.00001 = 0.00600008 \) km
- Answer: 0.00600008 km
4. 340000.9000 mm = _______ km
- 1 millimeter = 0.000001 kilometers
- \( 340000.9000 \times 0.000001 = 0.3400009 \) km
- Answer: 0.3400009 km
9. 29 km = _______ cm
- 1 kilometer = 100,000 centimeters
- \( 29 \times 100,000 = 2,900,000 \) cm
- Answer: 2,900,000 cm
10. 2590000 cg = _______ kg
- 1 centigram = 0.00001 kilograms
- \( 2590000 \times 0.00001 = 25.9 \) kg
- Answer: 25.9 kg
#### Volume
11. 801,000,000 mL = _______ L
- 1 liter = 1000 milliliters
- \( 801,000,000 \div 1000 = 801,000 \) L
- Answer: 801,000 L
12. 12.2 L = _______ cl
- 1 liter = 100 centiliters
- \( 12.2 \times 100 = 1220 \) cl
- Answer: 1220 cl
13. 1202.200 mL = _______ cl
- 1 milliliter = 0.1 centiliters
- \( 1202.200 \times 0.1 = 120.22 \) cl
- Answer: 120.22 cl
14. 23.5200 cl = _______ mL
- 1 centiliter = 10 milliliters
- \( 23.5200 \times 10 = 235.2 \) mL
- Answer: 235.2 mL
16. 45250 L = _______ kL
- 1 kiloliter = 1000 liters
- \( 45250 \div 1000 = 45.25 \) kL
- Answer: 45.25 kL
#### Mass
5. 12.25 kg = _______ cg
- 1 kilogram = 100,000 centigrams
- \( 12.25 \times 100,000 = 1,225,000 \) cg
- Answer: 1,225,000 cg
6. 12000 mg = _______ cg
- 1 milligram = 0.1 centigrams
- \( 12000 \times 0.1 = 1200 \) cg
- Answer: 1200 cg
7. 0.145 g = _______ mg
- 1 gram = 1000 milligrams
- \( 0.145 \times 1000 = 145 \) mg
- Answer: 145 mg
8. 45000.2500 mg = _______ g
- 1 milligram = 0.001 grams
- \( 45000.2500 \times 0.001 = 45.00025 \) g
- Answer: 45.00025 g
15. 1254 g = _______ T
- 1 tonne (T) = 1,000,000 grams
- \( 1254 \div 1,000,000 = 0.001254 \) T
- Answer: 0.001254 T
24. 3450 lbs = _______ T
- 1 tonne (T) = 2204.62 pounds
- \( 3450 \div 2204.62 \approx 1.565 \) T
- Answer: 1.565 T
---
#### Volume
17. 7.2 gal = _______ qt
- 1 gallon = 4 quarts
- \( 7.2 \times 4 = 28.8 \) qt
- Answer: 28.8 qt
18. 8 pt = _______ oz
- 1 pint = 16 fluid ounces
- \( 8 \times 16 = 128 \) oz
- Answer: 128 oz
19. 4.8 pt = _______ gal
- 1 gallon = 8 pints
- \( 4.8 \div 8 = 0.6 \) gal
- Answer: 0.6 gal
20. 3/4 kg = _______ gms
- 1 kilogram = 1000 grams
- \( \frac{3}{4} \times 1000 = 750 \) gms
- Answer: 750 gms
#### Length
21. 22.5 yd = _______ ft
- 1 yard = 3 feet
- \( 22.5 \times 3 = 67.5 \) ft
- Answer: 67.5 ft
22. 96.25 in = _______ yd
- 1 yard = 36 inches
- \( 96.25 \div 36 \approx 2.6736 \) yd
- Answer: 2.6736 yd
25. 2.8 mi = _______ yd
- 1 mile = 1760 yards
- \( 2.8 \times 1760 = 4928 \) yd
- Answer: 4928 yd
#### Weight
26. 2071/2 ounce = _______ lb
- 1 pound = 16 ounces
- \( 2071/2 \div 16 = 129.4375 \) lb
- Answer: 129.4375 lb
---
1. 34500 cm
2. 3,000,000 mm
3. 0.00600008 km
4. 0.3400009 km
5. 1,225,000 cg
6. 1200 cg
7. 145 mg
8. 45.00025 g
9. 2,900,000 cm
10. 25.9 kg
11. 801,000 L
12. 1220 cl
13. 120.22 cl
14. 235.2 mL
15. 0.001254 T
16. 45.25 kL
17. 28.8 qt
18. 128 oz
19. 0.6 gal
20. 750 gms
21. 67.5 ft
22. 2.6736 yd
23. Not provided in question
24. 1.565 T
25. 4928 yd
26. 129.4375 lb
Boxed Final Answer:
\[
\boxed{
\begin{array}{ll}
1. & 34500 \, \text{cm} \\
2. & 3,000,000 \, \text{mm} \\
3. & 0.00600008 \, \text{km} \\
4. & 0.3400009 \, \text{km} \\
5. & 1,225,000 \, \text{cg} \\
6. & 1200 \, \text{cg} \\
7. & 145 \, \text{mg} \\
8. & 45.00025 \, \text{g} \\
9. & 2,900,000 \, \text{cm} \\
10. & 25.9 \, \text{kg} \\
11. & 801,000 \, \text{L} \\
12. & 1220 \, \text{cl} \\
13. & 120.22 \, \text{cl} \\
14. & 235.2 \, \text{mL} \\
15. & 0.001254 \, \text{T} \\
16. & 45.25 \, \text{kL} \\
17. & 28.8 \, \text{qt} \\
18. & 128 \, \text{oz} \\
19. & 0.6 \, \text{gal} \\
20. & 750 \, \text{gms} \\
21. & 67.5 \, \text{ft} \\
22. & 2.6736 \, \text{yd} \\
23. & \text{Not provided} \\
24. & 1.565 \, \text{T} \\
25. & 4928 \, \text{yd} \\
26. & 129.4375 \, \text{lb} \\
\end{array}
}
\]
---
1. Metric Conversions
#### Length
1. 345 m = _______ cm
- 1 meter = 100 centimeters
- \( 345 \times 100 = 34500 \) cm
- Answer: 34500 cm
2. 3 km = _______ mm
- 1 kilometer = 1,000,000 millimeters
- \( 3 \times 1,000,000 = 3,000,000 \) mm
- Answer: 3,000,000 mm
3. 600.008 cm = _______ km
- 1 centimeter = 0.00001 kilometers
- \( 600.008 \times 0.00001 = 0.00600008 \) km
- Answer: 0.00600008 km
4. 340000.9000 mm = _______ km
- 1 millimeter = 0.000001 kilometers
- \( 340000.9000 \times 0.000001 = 0.3400009 \) km
- Answer: 0.3400009 km
9. 29 km = _______ cm
- 1 kilometer = 100,000 centimeters
- \( 29 \times 100,000 = 2,900,000 \) cm
- Answer: 2,900,000 cm
10. 2590000 cg = _______ kg
- 1 centigram = 0.00001 kilograms
- \( 2590000 \times 0.00001 = 25.9 \) kg
- Answer: 25.9 kg
#### Volume
11. 801,000,000 mL = _______ L
- 1 liter = 1000 milliliters
- \( 801,000,000 \div 1000 = 801,000 \) L
- Answer: 801,000 L
12. 12.2 L = _______ cl
- 1 liter = 100 centiliters
- \( 12.2 \times 100 = 1220 \) cl
- Answer: 1220 cl
13. 1202.200 mL = _______ cl
- 1 milliliter = 0.1 centiliters
- \( 1202.200 \times 0.1 = 120.22 \) cl
- Answer: 120.22 cl
14. 23.5200 cl = _______ mL
- 1 centiliter = 10 milliliters
- \( 23.5200 \times 10 = 235.2 \) mL
- Answer: 235.2 mL
16. 45250 L = _______ kL
- 1 kiloliter = 1000 liters
- \( 45250 \div 1000 = 45.25 \) kL
- Answer: 45.25 kL
#### Mass
5. 12.25 kg = _______ cg
- 1 kilogram = 100,000 centigrams
- \( 12.25 \times 100,000 = 1,225,000 \) cg
- Answer: 1,225,000 cg
6. 12000 mg = _______ cg
- 1 milligram = 0.1 centigrams
- \( 12000 \times 0.1 = 1200 \) cg
- Answer: 1200 cg
7. 0.145 g = _______ mg
- 1 gram = 1000 milligrams
- \( 0.145 \times 1000 = 145 \) mg
- Answer: 145 mg
8. 45000.2500 mg = _______ g
- 1 milligram = 0.001 grams
- \( 45000.2500 \times 0.001 = 45.00025 \) g
- Answer: 45.00025 g
15. 1254 g = _______ T
- 1 tonne (T) = 1,000,000 grams
- \( 1254 \div 1,000,000 = 0.001254 \) T
- Answer: 0.001254 T
24. 3450 lbs = _______ T
- 1 tonne (T) = 2204.62 pounds
- \( 3450 \div 2204.62 \approx 1.565 \) T
- Answer: 1.565 T
---
Imperial and Customary Conversions
#### Volume
17. 7.2 gal = _______ qt
- 1 gallon = 4 quarts
- \( 7.2 \times 4 = 28.8 \) qt
- Answer: 28.8 qt
18. 8 pt = _______ oz
- 1 pint = 16 fluid ounces
- \( 8 \times 16 = 128 \) oz
- Answer: 128 oz
19. 4.8 pt = _______ gal
- 1 gallon = 8 pints
- \( 4.8 \div 8 = 0.6 \) gal
- Answer: 0.6 gal
20. 3/4 kg = _______ gms
- 1 kilogram = 1000 grams
- \( \frac{3}{4} \times 1000 = 750 \) gms
- Answer: 750 gms
#### Length
21. 22.5 yd = _______ ft
- 1 yard = 3 feet
- \( 22.5 \times 3 = 67.5 \) ft
- Answer: 67.5 ft
22. 96.25 in = _______ yd
- 1 yard = 36 inches
- \( 96.25 \div 36 \approx 2.6736 \) yd
- Answer: 2.6736 yd
25. 2.8 mi = _______ yd
- 1 mile = 1760 yards
- \( 2.8 \times 1760 = 4928 \) yd
- Answer: 4928 yd
#### Weight
26. 2071/2 ounce = _______ lb
- 1 pound = 16 ounces
- \( 2071/2 \div 16 = 129.4375 \) lb
- Answer: 129.4375 lb
---
Final Answers
1. 34500 cm
2. 3,000,000 mm
3. 0.00600008 km
4. 0.3400009 km
5. 1,225,000 cg
6. 1200 cg
7. 145 mg
8. 45.00025 g
9. 2,900,000 cm
10. 25.9 kg
11. 801,000 L
12. 1220 cl
13. 120.22 cl
14. 235.2 mL
15. 0.001254 T
16. 45.25 kL
17. 28.8 qt
18. 128 oz
19. 0.6 gal
20. 750 gms
21. 67.5 ft
22. 2.6736 yd
23. Not provided in question
24. 1.565 T
25. 4928 yd
26. 129.4375 lb
Boxed Final Answer:
\[
\boxed{
\begin{array}{ll}
1. & 34500 \, \text{cm} \\
2. & 3,000,000 \, \text{mm} \\
3. & 0.00600008 \, \text{km} \\
4. & 0.3400009 \, \text{km} \\
5. & 1,225,000 \, \text{cg} \\
6. & 1200 \, \text{cg} \\
7. & 145 \, \text{mg} \\
8. & 45.00025 \, \text{g} \\
9. & 2,900,000 \, \text{cm} \\
10. & 25.9 \, \text{kg} \\
11. & 801,000 \, \text{L} \\
12. & 1220 \, \text{cl} \\
13. & 120.22 \, \text{cl} \\
14. & 235.2 \, \text{mL} \\
15. & 0.001254 \, \text{T} \\
16. & 45.25 \, \text{kL} \\
17. & 28.8 \, \text{qt} \\
18. & 128 \, \text{oz} \\
19. & 0.6 \, \text{gal} \\
20. & 750 \, \text{gms} \\
21. & 67.5 \, \text{ft} \\
22. & 2.6736 \, \text{yd} \\
23. & \text{Not provided} \\
24. & 1.565 \, \text{T} \\
25. & 4928 \, \text{yd} \\
26. & 129.4375 \, \text{lb} \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of unit conversions worksheet answers.