Mass and Volume Conversion worksheet - Free Printable

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. \( > \)

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Final Boxed Answer:

\[
\boxed{
\begin{array}{l}
\text{Conversions: } 1000, 2000, 3000, 4000, 5000, 6000, 1000, 2000, 3000, 4000, 5000, 6000 \\
\text{Largest Amounts: } 1 \, \text{kg}, 2100 \, \text{mL}, 4 \, \text{kg}, 3200 \, \text{mL} \\
\text{Comparisons: } >, =, >, >, <, >, =, <, >, >
\end{array}
}
\]