Grade 5 Measurement Worksheet: Converting Metric Units of Weight and Capacity.
Metric units of weight and capacity worksheet for Grade 5, featuring conversion problems between liters, milliliters, kilograms, and grams.
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Step-by-step solution for: Grade 5 Math Worksheet: Convert metric weights and volumes | Worsheets library...
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Show Answer Key & Explanations
Step-by-step solution for: Grade 5 Math Worksheet: Convert metric weights and volumes | Worsheets library...
Problem Overview:
The task involves converting between metric units of weight and capacity. The key conversions to remember are:
- 1 liter (L) = 1,000 milliliters (mL)
- 1 kilogram (kg) = 1,000 grams (g)
We will solve each problem step by step using these conversion factors.
---
Solution:
#### 1. Convert 10.4 L to mL
- Conversion factor: 1 L = 1,000 mL
- Calculation:
$$
10.4 \, \text{L} \times 1,000 = 10,400 \, \text{mL}
$$
- Answer: 10,400 mL
#### 2. Convert 984 L to mL
- Conversion factor: 1 L = 1,000 mL
- Calculation:
$$
984 \, \text{L} \times 1,000 = 984,000 \, \text{mL}
$$
- Answer: 984,000 mL
#### 3. Convert 76 kg to g
- Conversion factor: 1 kg = 1,000 g
- Calculation:
$$
76 \, \text{kg} \times 1,000 = 76,000 \, \text{g}
$$
- Answer: 76,000 g
#### 4. Convert 5.21 L to mL
- Conversion factor: 1 L = 1,000 mL
- Calculation:
$$
5.21 \, \text{L} \times 1,000 = 5,210 \, \text{mL}
$$
- Answer: 5,210 mL
#### 5. Convert 8.2 L to mL
- Conversion factor: 1 L = 1,000 mL
- Calculation:
$$
8.2 \, \text{L} \times 1,000 = 8,200 \, \text{mL}
$$
- Answer: 8,200 mL
#### 6. Convert 75.0 L to mL
- Conversion factor: 1 L = 1,000 mL
- Calculation:
$$
75.0 \, \text{L} \times 1,000 = 75,000 \, \text{mL}
$$
- Answer: 75,000 mL
#### 7. Convert 0.74 kg to g
- Conversion factor: 1 kg = 1,000 g
- Calculation:
$$
0.74 \, \text{kg} \times 1,000 = 740 \, \text{g}
$$
- Answer: 740 g
#### 8. Convert 0.50 L to mL
- Conversion factor: 1 L = 1,000 mL
- Calculation:
$$
0.50 \, \text{L} \times 1,000 = 500 \, \text{mL}
$$
- Answer: 500 mL
#### 9. Convert 4.08 L to mL
- Conversion factor: 1 L = 1,000 mL
- Calculation:
$$
4.08 \, \text{L} \times 1,000 = 4,080 \, \text{mL}
$$
- Answer: 4,080 mL
#### 10. Convert 76.8 L to mL
- Conversion factor: 1 L = 1,000 mL
- Calculation:
$$
76.8 \, \text{L} \times 1,000 = 76,800 \, \text{mL}
$$
- Answer: 76,800 mL
#### 11. Convert 31,068 mL to L
- Conversion factor: 1,000 mL = 1 L
- Calculation:
$$
31,068 \, \text{mL} \div 1,000 = 31.068 \, \text{L}
$$
- Answer: 31.068 L
#### 12. Convert 12,905 g to kg
- Conversion factor: 1,000 g = 1 kg
- Calculation:
$$
12,905 \, \text{g} \div 1,000 = 12.905 \, \text{kg}
$$
- Answer: 12.905 kg
#### 13. Convert 2,018 g to kg
- Conversion factor: 1,000 g = 1 kg
- Calculation:
$$
2,018 \, \text{g} \div 1,000 = 2.018 \, \text{kg}
$$
- Answer: 2.018 kg
#### 14. Convert 30,512 mL to L
- Conversion factor: 1,000 mL = 1 L
- Calculation:
$$
30,512 \, \text{mL} \div 1,000 = 30.512 \, \text{L}
$$
- Answer: 30.512 L
#### 15. Convert 31,934 mL to L
- Conversion factor: 1,000 mL = 1 L
- Calculation:
$$
31,934 \, \text{mL} \div 1,000 = 31.934 \, \text{L}
$$
- Answer: 31.934 L
#### 16. Convert 6,363 g to kg
- Conversion factor: 1,000 g = 1 kg
- Calculation:
$$
6,363 \, \text{g} \div 1,000 = 6.363 \, \text{kg}
$$
- Answer: 6.363 kg
#### 17. Convert 6,298 g to kg
- Conversion factor: 1,000 g = 1 kg
- Calculation:
$$
6,298 \, \text{g} \div 1,000 = 6.298 \, \text{kg}
$$
- Answer: 6.298 kg
#### 18. Convert 7,928 g to kg
- Conversion factor: 1,000 g = 1 kg
- Calculation:
$$
7,928 \, \text{g} \div 1,000 = 7.928 \, \text{kg}
$$
- Answer: 7.928 kg
#### 19. Convert 3,816 mL to L
- Conversion factor: 1,000 mL = 1 L
- Calculation:
$$
3,816 \, \text{mL} \div 1,000 = 3.816 \, \text{L}
$$
- Answer: 3.816 L
#### 20. Convert 6,767 g to kg
- Conversion factor: 1,000 g = 1 kg
- Calculation:
$$
6,767 \, \text{g} \div 1,000 = 6.767 \, \text{kg}
$$
- Answer: 6.767 kg
---
Final Answers:
1. 10,400 mL
2. 984,000 mL
3. 76,000 g
4. 5,210 mL
5. 8,200 mL
6. 75,000 mL
7. 740 g
8. 500 mL
9. 4,080 mL
10. 76,800 mL
11. 31.068 L
12. 12.905 kg
13. 2.018 kg
14. 30.512 L
15. 31.934 L
16. 6.363 kg
17. 6.298 kg
18. 7.928 kg
19. 3.816 L
20. 6.767 kg
Boxed Final Answer:
$$
\boxed{
\begin{array}{ll}
1. & 10,400 \, \text{mL} \\
2. & 984,000 \, \text{mL} \\
3. & 76,000 \, \text{g} \\
4. & 5,210 \, \text{mL} \\
5. & 8,200 \, \text{mL} \\
6. & 75,000 \, \text{mL} \\
7. & 740 \, \text{g} \\
8. & 500 \, \text{mL} \\
9. & 4,080 \, \text{mL} \\
10. & 76,800 \, \text{mL} \\
11. & 31.068 \, \text{L} \\
12. & 12.905 \, \text{kg} \\
13. & 2.018 \, \text{kg} \\
14. & 30.512 \, \text{L} \\
15. & 31.934 \, \text{L} \\
16. & 6.363 \, \text{kg} \\
17. & 6.298 \, \text{kg} \\
18. & 7.928 \, \text{kg} \\
19. & 3.816 \, \text{L} \\
20. & 6.767 \, \text{kg} \\
\end{array}
}
$$
Parent Tip: Review the logic above to help your child master the concept of volume conversion worksheet.