Answers to a metric conversion worksheet covering length, mass, and volume conversions.

Problem Overview:

The task involves solving metric conversion problems. The conversions are between the following units:
- Millimeters (mm) and Centimeters (cm)
- Centimeters (cm) and Meters (m)
- Meters (m) and Kilometers (km)
- Grams (g) and Kilograms (kg)
- Milliliters (mL) and Liters (L)

The solutions provided in the image are already completed, but I will explain the reasoning behind each type of conversion.

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Conversion Rules:

1. Length Conversions:
- 1 cm = 10 mm
- 1 m = 100 cm
- 1 km = 1000 m

2. Mass Conversions:
- 1 kg = 1000 g

3. Volume Conversions:
- 1 L = 1000 mL

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Detailed Explanation of Each Type of Conversion:

#### 1. Millimeters (mm) to Centimeters (cm) and Vice Versa
- Conversion Factor: 1 cm = 10 mm
- To convert from mm to cm: Divide by 10.
- To convert from cm to mm: Multiply by 10.

Examples:
- 6.6 cm = 66 mm (Multiply 6.6 by 10)
- 80 mm = 8 cm (Divide 80 by 10)

#### 2. Centimeters (cm) to Meters (m) and Vice Versa
- Conversion Factor: 1 m = 100 cm
- To convert from cm to m: Divide by 100.
- To convert from m to cm: Multiply by 100.

Examples:
- 700 cm = 7 m (Divide 700 by 100)
- 190 cm = 1.9 m (Divide 190 by 100)

#### 3. Meters (m) to Kilometers (km) and Vice Versa
- Conversion Factor: 1 km = 1000 m
- To convert from m to km: Divide by 1000.
- To convert from km to m: Multiply by 1000.

Examples:
- 5600 m = 5.6 km (Divide 5600 by 1000)
- 2.2 km = 2200 m (Multiply 2.2 by 1000)

#### 4. Grams (g) to Kilograms (kg) and Vice Versa
- Conversion Factor: 1 kg = 1000 g
- To convert from g to kg: Divide by 1000.
- To convert from kg to g: Multiply by 1000.

Examples:
- 5300 g = 5.3 kg (Divide 5300 by 1000)
- 2.2 kg = 2200 g (Multiply 2.2 by 1000)

#### 5. Milliliters (mL) to Liters (L) and Vice Versa
- Conversion Factor: 1 L = 1000 mL
- To convert from mL to L: Divide by 1000.
- To convert from L to mL: Multiply by 1000.

Examples:
- 6 L = 6000 mL (Multiply 6 by 1000)
- 3400 mL = 3.4 L (Divide 3400 by 1000)

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Verification of Provided Solutions:

Let's verify a few solutions from the worksheet:

1. 6.6 cm = 66 mm:
- Conversion: \( 6.6 \times 10 = 66 \) mm
- Correct.

2. 5300 g = 5.3 kg:
- Conversion: \( 5300 \div 1000 = 5.3 \) kg
- Correct.

3. 2.5 m = 250 cm:
- Conversion: \( 2.5 \times 100 = 250 \) cm
- Correct.

4. 5600 m = 5.6 km:
- Conversion: \( 5600 \div 1000 = 5.6 \) km
- Correct.

5. 90 mm = 9 cm:
- Conversion: \( 90 \div 10 = 9 \) cm
- Correct.

6. 2.2 kg = 2200 g:
- Conversion: \( 2.2 \times 1000 = 2200 \) g
- Correct.

7. 3400 mL = 3.4 L:
- Conversion: \( 3400 \div 1000 = 3.4 \) L
- Correct.

8. 4 L = 4000 mL:
- Conversion: \( 4 \times 1000 = 4000 \) mL
- Correct.

9. 5.9 m = 590 cm:
- Conversion: \( 5.9 \times 100 = 590 \) cm
- Correct.

10. 8600 m = 8.6 km:
- Conversion: \( 8600 \div 1000 = 8.6 \) km
- Correct.

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Final Answer:

All the provided solutions in the worksheet are correct. The conversions follow the standard metric system rules, and the calculations are accurate.

\[
\boxed{\text{All solutions are correct.}}
\]