Grade 5 Measurement Worksheet: Metric Units of Weight Conversion
Metric units of weight conversion worksheet for Grade 5, featuring problems to convert kilograms and grams.
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Step-by-step solution for: Grade 5 Math Worksheet: Convert metric weights (gm, kg) | Worsheets library
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Show Answer Key & Explanations
Step-by-step solution for: Grade 5 Math Worksheet: Convert metric weights (gm, kg) | Worsheets library
Problem Overview:
The task involves converting between metric units of weight, specifically kilograms (kg) and grams (g). The key conversion factor is:
$$
1 \text{ kilogram (kg)} = 1,000 \text{ grams (g)}
$$
This means:
- To convert from kilograms to grams, multiply by 1,000.
- To convert from grams to kilograms, divide by 1,000.
Solution:
We will solve each problem step by step using the conversion factor.
---
#### 1. \( 0.06 \text{ kg} = \_\_\_\_\_\_ \text{ g} \)
- Convert kilograms to grams: Multiply by 1,000.
$$
0.06 \text{ kg} \times 1,000 = 60 \text{ g}
$$
Answer: \( 60 \text{ g} \)
#### 2. \( 8.3 \text{ kg} = \_\_\_\_\_\_ \text{ g} \)
- Convert kilograms to grams: Multiply by 1,000.
$$
8.3 \text{ kg} \times 1,000 = 8,300 \text{ g}
$$
Answer: \( 8,300 \text{ g} \)
#### 3. \( 0.49 \text{ kg} = \_\_\_\_\_\_ \text{ g} \)
- Convert kilograms to grams: Multiply by 1,000.
$$
0.49 \text{ kg} \times 1,000 = 490 \text{ g}
$$
Answer: \( 490 \text{ g} \)
#### 4. \( 0.2 \text{ kg} = \_\_\_\_\_\_ \text{ g} \)
- Convert kilograms to grams: Multiply by 1,000.
$$
0.2 \text{ kg} \times 1,000 = 200 \text{ g}
$$
Answer: \( 200 \text{ g} \)
#### 5. \( 23 \text{ g} = \_\_\_\_\_\_ \text{ kg} \)
- Convert grams to kilograms: Divide by 1,000.
$$
23 \text{ g} \div 1,000 = 0.023 \text{ kg}
$$
Answer: \( 0.023 \text{ kg} \)
#### 6. \( 7.4 \text{ g} = \_\_\_\_\_\_ \text{ kg} \)
- Convert grams to kilograms: Divide by 1,000.
$$
7.4 \text{ g} \div 1,000 = 0.0074 \text{ kg}
$$
Answer: \( 0.0074 \text{ kg} \)
#### 7. \( 0.07 \text{ kg} = \_\_\_\_\_\_ \text{ g} \)
- Convert kilograms to grams: Multiply by 1,000.
$$
0.07 \text{ kg} \times 1,000 = 70 \text{ g}
$$
Answer: \( 70 \text{ g} \)
#### 8. \( 5.5 \text{ kg} = \_\_\_\_\_\_ \text{ g} \)
- Convert kilograms to grams: Multiply by 1,000.
$$
5.5 \text{ kg} \times 1,000 = 5,500 \text{ g}
$$
Answer: \( 5,500 \text{ g} \)
#### 9. \( 80 \text{ kg} = \_\_\_\_\_\_ \text{ g} \)
- Convert kilograms to grams: Multiply by 1,000.
$$
80 \text{ kg} \times 1,000 = 80,000 \text{ g}
$$
Answer: \( 80,000 \text{ g} \)
#### 10. \( 4.6 \text{ g} = \_\_\_\_\_\_ \text{ kg} \)
- Convert grams to kilograms: Divide by 1,000.
$$
4.6 \text{ g} \div 1,000 = 0.0046 \text{ kg}
$$
Answer: \( 0.0046 \text{ kg} \)
#### 11. \( 4.9 \text{ g} = \_\_\_\_\_\_ \text{ kg} \)
- Convert grams to kilograms: Divide by 1,000.
$$
4.9 \text{ g} \div 1,000 = 0.0049 \text{ kg}
$$
Answer: \( 0.0049 \text{ kg} \)
#### 12. \( 0.78 \text{ kg} = \_\_\_\_\_\_ \text{ g} \)
- Convert kilograms to grams: Multiply by 1,000.
$$
0.78 \text{ kg} \times 1,000 = 780 \text{ g}
$$
Answer: \( 780 \text{ g} \)
#### 13. \( 2 \text{ kg} = \_\_\_\_\_\_ \text{ g} \)
- Convert kilograms to grams: Multiply by 1,000.
$$
2 \text{ kg} \times 1,000 = 2,000 \text{ g}
$$
Answer: \( 2,000 \text{ g} \)
#### 14. \( 0.32 \text{ kg} = \_\_\_\_\_\_ \text{ g} \)
- Convert kilograms to grams: Multiply by 1,000.
$$
0.32 \text{ kg} \times 1,000 = 320 \text{ g}
$$
Answer: \( 320 \text{ g} \)
#### 15. \( 8 \text{ kg} = \_\_\_\_\_\_ \text{ g} \)
- Convert kilograms to grams: Multiply by 1,000.
$$
8 \text{ kg} \times 1,000 = 8,000 \text{ g}
$$
Answer: \( 8,000 \text{ g} \)
#### 16. \( 61 \text{ kg} = \_\_\_\_\_\_ \text{ g} \)
- Convert kilograms to grams: Multiply by 1,000.
$$
61 \text{ kg} \times 1,000 = 61,000 \text{ g}
$$
Answer: \( 61,000 \text{ g} \)
#### 17. \( 5 \text{ g} = \_\_\_\_\_\_ \text{ kg} \)
- Convert grams to kilograms: Divide by 1,000.
$$
5 \text{ g} \div 1,000 = 0.005 \text{ kg}
$$
Answer: \( 0.005 \text{ kg} \)
#### 18. \( 0.04 \text{ g} = \_\_\_\_\_\_ \text{ kg} \)
- Convert grams to kilograms: Divide by 1,000.
$$
0.04 \text{ g} \div 1,000 = 0.00004 \text{ kg}
$$
Answer: \( 0.00004 \text{ kg} \)
#### 19. \( 0.37 \text{ kg} = \_\_\_\_\_\_ \text{ g} \)
- Convert kilograms to grams: Multiply by 1,000.
$$
0.37 \text{ kg} \times 1,000 = 370 \text{ g}
$$
Answer: \( 370 \text{ g} \)
#### 20. \( 0.3 \text{ g} = \_\_\_\_\_\_ \text{ kg} \)
- Convert grams to kilograms: Divide by 1,000.
$$
0.3 \text{ g} \div 1,000 = 0.0003 \text{ kg}
$$
Answer: \( 0.0003 \text{ kg} \)
---
Final Answers:
\[
\boxed{
\begin{array}{ll}
1. & 60 \text{ g} \\
2. & 8,300 \text{ g} \\
3. & 490 \text{ g} \\
4. & 200 \text{ g} \\
5. & 0.023 \text{ kg} \\
6. & 0.0074 \text{ kg} \\
7. & 70 \text{ g} \\
8. & 5,500 \text{ g} \\
9. & 80,000 \text{ g} \\
10. & 0.0046 \text{ kg} \\
11. & 0.0049 \text{ kg} \\
12. & 780 \text{ g} \\
13. & 2,000 \text{ g} \\
14. & 320 \text{ g} \\
15. & 8,000 \text{ g} \\
16. & 61,000 \text{ g} \\
17. & 0.005 \text{ kg} \\
18. & 0.00004 \text{ kg} \\
19. & 370 \text{ g} \\
20. & 0.0003 \text{ kg} \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of mass conversions worksheet.