Convert weight and volume units with this educational worksheet.
Worksheet titled "Converting Weight & Volume" with exercises on converting kilograms to grams, liters to milliliters, comparing amounts, and using greater than, less than, or equal to symbols.
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Step-by-step solution for: Mass and Volume Conversion worksheet
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Show Answer Key & Explanations
Step-by-step solution for: Mass and Volume Conversion worksheet
Problem Analysis:
The worksheet involves converting units of weight (kilograms to grams) and volume (liters to milliliters), comparing different quantities, and using symbols (`>`, `<`, `=`) to indicate relationships between amounts. Let's solve each section step by step.
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Section 1: Converting Weight & Volume
#### Weight Conversion (kg to g)
1 kg = 1000 g
- 1) \( 1 \, \text{kg} = 1000 \, \text{g} \)
- 2) \( 2 \, \text{kg} = 2 \times 1000 = 2000 \, \text{g} \)
- 3) \( 3 \, \text{kg} = 3 \times 1000 = 3000 \, \text{g} \)
- 4) \( 4 \, \text{kg} = 4 \times 1000 = 4000 \, \text{g} \)
- 5) \( 5 \, \text{kg} = 5 \times 1000 = 5000 \, \text{g} \)
- 6) \( 6 \, \text{kg} = 6 \times 1000 = 6000 \, \text{g} \)
#### Volume Conversion (L to mL)
1 L = 1000 mL
- 7) \( 1 \, \text{L} = 1000 \, \text{mL} \)
- 8) \( 2 \, \text{L} = 2 \times 1000 = 2000 \, \text{mL} \)
- 9) \( 3 \, \text{L} = 3 \times 1000 = 3000 \, \text{mL} \)
- 10) \( 4 \, \text{L} = 4 \times 1000 = 4000 \, \text{mL} \)
- 11) \( 5 \, \text{L} = 5 \times 1000 = 5000 \, \text{mL} \)
- 12) \( 6 \, \text{L} = 6 \times 1000 = 6000 \, \text{mL} \)
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Section 2: Circle the Largest Amount in Each Box
We need to compare the given quantities in each box and circle the largest one.
#### Box 1:
- \( 1 \, \text{kg} = 1000 \, \text{g} \)
- \( 100 \, \text{g} \)
- \( 500 \, \text{g} \)
The largest amount is \( 1 \, \text{kg} \) (1000 g).
#### Box 2:
- \( 2 \, \text{L} = 2000 \, \text{mL} \)
- \( 1950 \, \text{mL} \)
- \( 2100 \, \text{mL} \)
The largest amount is \( 2100 \, \text{mL} \).
#### Box 3:
- \( 600 \, \text{g} \)
- \( 4 \, \text{kg} = 4000 \, \text{g} \)
- \( 3500 \, \text{g} \)
The largest amount is \( 4 \, \text{kg} \) (4000 g).
#### Box 4:
- \( 3 \, \text{L} = 3000 \, \text{mL} \)
- \( 3090 \, \text{mL} \)
- \( 3200 \, \text{mL} \)
The largest amount is \( 3200 \, \text{mL} \).
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Section 3: Compare the Amounts Using Symbols (`>`, `<`, `=`)
#### 1) \( 1 \, \text{L} \quad ? \quad 50 \, \text{mL} \)
- \( 1 \, \text{L} = 1000 \, \text{mL} \)
- \( 1000 \, \text{mL} > 50 \, \text{mL} \)
- Answer: \( 1 \, \text{L} > 50 \, \text{mL} \)
#### 2) \( 1000 \, \text{mL} \quad ? \quad 1 \, \text{L} \)
- \( 1 \, \text{L} = 1000 \, \text{mL} \)
- \( 1000 \, \text{mL} = 1 \, \text{L} \)
- Answer: \( 1000 \, \text{mL} = 1 \, \text{L} \)
#### 3) \( 2 \, \text{kg} \quad ? \quad 1500 \, \text{g} \)
- \( 2 \, \text{kg} = 2000 \, \text{g} \)
- \( 2000 \, \text{g} > 1500 \, \text{g} \)
- Answer: \( 2 \, \text{kg} > 1500 \, \text{g} \)
#### 4) \( 4000 \, \text{g} \quad ? \quad 3 \, \text{kg} \)
- \( 3 \, \text{kg} = 3000 \, \text{g} \)
- \( 4000 \, \text{g} > 3000 \, \text{g} \)
- Answer: \( 4000 \, \text{g} > 3 \, \text{kg} \)
#### 5) \( 700 \, \text{mL} \quad ? \quad 1 \, \text{L} \)
- \( 1 \, \text{L} = 1000 \, \text{mL} \)
- \( 700 \, \text{mL} < 1000 \, \text{mL} \)
- Answer: \( 700 \, \text{mL} < 1 \, \text{L} \)
#### 6) \( 1400 \, \text{mL} \quad ? \quad 1 \, \text{L} \)
- \( 1 \, \text{L} = 1000 \, \text{mL} \)
- \( 1400 \, \text{mL} > 1000 \, \text{mL} \)
- Answer: \( 1400 \, \text{mL} > 1 \, \text{L} \)
#### 7) \( 2000 \, \text{g} \quad ? \quad 2 \, \text{kg} \)
- \( 2 \, \text{kg} = 2000 \, \text{g} \)
- \( 2000 \, \text{g} = 2000 \, \text{g} \)
- Answer: \( 2000 \, \text{g} = 2 \, \text{kg} \)
#### 8) \( 2 \, \text{L} \quad ? \quad 2700 \, \text{mL} \)
- \( 2 \, \text{L} = 2000 \, \text{mL} \)
- \( 2000 \, \text{mL} < 2700 \, \text{mL} \)
- Answer: \( 2 \, \text{L} < 2700 \, \text{mL} \)
#### 9) \( 5 \, \text{kg} \quad ? \quad 4500 \, \text{g} \)
- \( 5 \, \text{kg} = 5000 \, \text{g} \)
- \( 5000 \, \text{g} > 4500 \, \text{g} \)
- Answer: \( 5 \, \text{kg} > 4500 \, \text{g} \)
#### 10) \( 3200 \, \text{g} \quad ? \quad 3 \, \text{kg} \)
- \( 3 \, \text{kg} = 3000 \, \text{g} \)
- \( 3200 \, \text{g} > 3000 \, \text{g} \)
- Answer: \( 3200 \, \text{g} > 3 \, \text{kg} \)
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Final Answers:
#### Section 1: Conversions
1. \( 1000 \)
2. \( 2000 \)
3. \( 3000 \)
4. \( 4000 \)
5. \( 5000 \)
6. \( 6000 \)
7. \( 1000 \)
8. \( 2000 \)
9. \( 3000 \)
10. \( 4000 \)
11. \( 5000 \)
12. \( 6000 \)
#### Section 2: Circle the Largest Amount
- Box 1: \( 1 \, \text{kg} \)
- Box 2: \( 2100 \, \text{mL} \)
- Box 3: \( 4 \, \text{kg} \)
- Box 4: \( 3200 \, \text{mL} \)
#### Section 3: Comparisons
1. \( > \)
2. \( = \)
3. \( > \)
4. \( > \)
5. \( < \)
6. \( > \)
7. \( = \)
8. \( < \)
9. \( > \)
10. \( > \)
---
Final Boxed Answer:
\[
\boxed{
\begin{array}{l}
\text{Conversions: } 1000, 2000, 3000, 4000, 5000, 6000, 1000, 2000, 3000, 4000, 5000, 6000 \\
\text{Largest Amounts: } 1 \, \text{kg}, 2100 \, \text{mL}, 4 \, \text{kg}, 3200 \, \text{mL} \\
\text{Comparisons: } >, =, >, >, <, >, =, <, >, >
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of volume conversion worksheet.