Metric Conversion Worksheet - Free Printable

Problem Analysis:

The task involves converting metric units of length, weight, and volume, comparing different quantities, and determining which is the largest in each set. Let's break it down step by step.

---

Part 1: Converting Metric Units

The first section provides conversions between different metric units. Here are the correct answers with explanations:

1. 3 km = 3,000 m
- 1 km = 1,000 m, so \( 3 \times 1,000 = 3,000 \) m.

2. 2 cm = 20 mm
- 1 cm = 10 mm, so \( 2 \times 10 = 20 \) mm.

3. 4,000 g = 4 kg
- 1 kg = 1,000 g, so \( 4,000 \div 1,000 = 4 \) kg.

4. 300 cm = 3 m
- 1 m = 100 cm, so \( 300 \div 100 = 3 \) m.

5. 3 L = 3,000 mL
- 1 L = 1,000 mL, so \( 3 \times 1,000 = 3,000 \) mL.

6. 3,000 g = 3 kg
- 1 kg = 1,000 g, so \( 3,000 \div 1,000 = 3 \) kg.

7. 8 L = 8,000 mL
- 1 L = 1,000 mL, so \( 8 \times 1,000 = 8,000 \) mL.

8. 100 mm = 10 cm
- 1 cm = 10 mm, so \( 100 \div 10 = 10 \) cm.

9. 5 m = 500 cm
- 1 m = 100 cm, so \( 5 \times 100 = 500 \) cm.

10. 6,000 m = 6 km
- 1 km = 1,000 m, so \( 6,000 \div 1,000 = 6 \) km.

---

Part 2: Identifying the Largest Amount

The second section asks to circle the largest amount in each box. Here are the solutions with explanations:

#### Box 1: Weight (g and kg)
- 1 kg, 1,300 g, 950 g
- Convert everything to grams:
- 1 kg = 1,000 g
- 1,300 g remains 1,300 g
- 950 g remains 950 g
- The largest is 1,300 g.

#### Box 2: Length (km and m)
- 3 km, 500 m, 3,040 m
- Convert everything to meters:
- 3 km = 3,000 m
- 500 m remains 500 m
- 3,040 m remains 3,040 m
- The largest is 3,040 m.

#### Box 3: Weight (g and kg)
- 7,090 g, 7,200 g, 7 kg
- Convert everything to grams:
- 7,090 g remains 7,090 g
- 7,200 g remains 7,200 g
- 7 kg = 7,000 g
- The largest is 7,200 g.

#### Box 4: Volume (L and mL)
- 3 L, 2,300 mL, 1,950 mL
- Convert everything to milliliters:
- 3 L = 3,000 mL
- 2,300 mL remains 2,300 mL
- 1,950 mL remains 1,950 mL
- The largest is 3 L.

---

Part 3: Comparing Quantities

The third section requires using the symbols \( > \), \( < \), or \( = \) to compare the given amounts. Here are the solutions with explanations:

1. 1 L > 590 mL
- 1 L = 1,000 mL, so \( 1,000 > 590 \).

2. 50 mm < 6 cm
- 6 cm = 60 mm, so \( 50 < 60 \).

3. 3,000 g > 2 kg
- 2 kg = 2,000 g, so \( 3,000 > 2,000 \).

4. 800 cm = 8 m
- 8 m = 800 cm, so \( 800 = 800 \).

5. 960 mL < 1 L
- 1 L = 1,000 mL, so \( 960 < 1,000 \).

6. 4,200 g < 5 kg
- 5 kg = 5,000 g, so \( 4,200 < 5,000 \).

7. 65 mm > 6 cm
- 6 cm = 60 mm, so \( 65 > 60 \).

8. 7 L > 860 mL
- 7 L = 7,000 mL, so \( 7,000 > 860 \).

9. 2 km > 320 cm
- 2 km = 2,000 m = 200,000 cm, so \( 200,000 > 320 \).

10. ½ km > 460 m
- ½ km = 500 m, so \( 500 > 460 \).

11. 6,000 g = 6 kg
- 6 kg = 6,000 g, so \( 6,000 = 6,000 \).

12. 7 cm < 700 mm
- 7 cm = 70 mm, so \( 70 < 700 \).

---

Final Answer

The completed worksheet with all answers circled or filled in is as follows:

1. Conversions:
- 3 km = 3,000 m
- 2 cm = 20 mm
- 4,000 g = 4 kg
- 300 cm = 3 m
- 3 L = 3,000 mL
- 3,000 g = 3 kg
- 8 L = 8,000 mL
- 100 mm = 10 cm
- 5 m = 500 cm
- 6,000 m = 6 km

2. Largest Amounts:
- 1,300 g
- 3,040 m
- 7,200 g
- 3 L

3. Comparisons:
- 1 L > 590 mL
- 50 mm < 6 cm
- 3,000 g > 2 kg
- 800 cm = 8 m
- 960 mL < 1 L
- 4,200 g < 5 kg
- 65 mm > 6 cm
- 7 L > 860 mL
- 2 km > 320 cm
- ½ km > 460 m
- 6,000 g = 6 kg
- 7 cm < 700 mm

\boxed{Completed}