Answer key for a metric conversion worksheet focusing on weight and volume, including conversions and comparisons.

Problem Overview:

The task involves converting metric units of weight (grams, kilograms) and volume (milliliters, liters) and comparing them. The worksheet is divided into three main sections:
1. Converting Metric Units: Convert given values from one unit to another.
2. Identifying the Largest Amount: Circle the largest value in each group.
3. Comparing Amounts: Use the symbols \( > \), \( < \), or \( = \) to compare pairs of values.

---

Section 1: Converting Metric Units

The conversions are based on the following relationships:
- Weight:
- \( 1 \, \text{kg} = 1000 \, \text{g} \)
- \( 1 \, \text{g} = 0.001 \, \text{kg} \)
- Volume:
- \( 1 \, \text{L} = 1000 \, \text{mL} \)
- \( 1 \, \text{mL} = 0.001 \, \text{L} \)

#### Solutions:
1. \( 7540 \, \text{g} = 7.54 \, \text{kg} \)
- \( 7540 \div 1000 = 7.54 \)

2. \( 4.9 \, \text{L} = 4900 \, \text{mL} \)
- \( 4.9 \times 1000 = 4900 \)

3. \( 0.12 \, \text{kg} = 120 \, \text{g} \)
- \( 0.12 \times 1000 = 120 \)

4. \( 8935 \, \text{mL} = 8.935 \, \text{L} \)
- \( 8935 \div 1000 = 8.935 \)

5. \( \frac{1}{4} \, \text{L} = 250 \, \text{mL} \)
- \( \frac{1}{4} \times 1000 = 250 \)

6. \( 5 \frac{3}{4} \, \text{kg} = 5750 \, \text{g} \)
- \( 5 \frac{3}{4} = 5.75 \)
- \( 5.75 \times 1000 = 5750 \)

7. \( 0.58 \, \text{L} = 580 \, \text{mL} \)
- \( 0.58 \times 1000 = 580 \)

8. \( 6.8 \, \text{kg} = 6800 \, \text{g} \)
- \( 6.8 \times 1000 = 6800 \)

9. \( 3.06 \, \text{L} = 3060 \, \text{mL} \)
- \( 3.06 \times 1000 = 3060 \)

10. \( 22.5 \, \text{kg} = 22500 \, \text{g} \)
- \( 22.5 \times 1000 = 22500 \)

11. \( 1890 \, \text{mL} = 1.89 \, \text{L} \)
- \( 1890 \div 1000 = 1.89 \)

12. \( 10 \frac{3}{4} \, \text{kg} = 10750 \, \text{g} \)
- \( 10 \frac{3}{4} = 10.75 \)
- \( 10.75 \times 1000 = 10750 \)

---

Section 2: Identifying the Largest Amount

For each group, convert all values to the same unit and identify the largest.

#### Group 1:
- \( 1.15 \, \text{kg} \)
- \( 1100 \, \text{g} \)
- \( 900 \, \text{g} \)

Convert to grams:
- \( 1.15 \, \text{kg} = 1150 \, \text{g} \)
- \( 1100 \, \text{g} \)
- \( 900 \, \text{g} \)

Largest: \( 1.15 \, \text{kg} \) (or \( 1150 \, \text{g} \))

#### Group 2:
- \( 3 \frac{1}{4} \, \text{L} \)
- \( 3200 \, \text{mL} \)
- \( 3290 \, \text{mL} \)

Convert to milliliters:
- \( 3 \frac{1}{4} \, \text{L} = 3.25 \, \text{L} = 3250 \, \text{mL} \)
- \( 3200 \, \text{mL} \)
- \( 3290 \, \text{mL} \)

Largest: \( 3290 \, \text{mL} \)

#### Group 3:
- \( 0.18 \, \text{kg} \)
- \( 125 \, \text{g} \)
- \( 0.3 \, \text{kg} \)

Convert to grams:
- \( 0.18 \, \text{kg} = 180 \, \text{g} \)
- \( 125 \, \text{g} \)
- \( 0.3 \, \text{kg} = 300 \, \text{g} \)

Largest: \( 0.3 \, \text{kg} \) (or \( 300 \, \text{g} \))

#### Group 4:
- \( 7680 \, \text{mL} \)
- \( 7 \frac{3}{4} \, \text{L} \)
- \( 7090 \, \text{mL} \)

Convert to milliliters:
- \( 7680 \, \text{mL} \)
- \( 7 \frac{3}{4} \, \text{L} = 7.75 \, \text{L} = 7750 \, \text{mL} \)
- \( 7090 \, \text{mL} \)

Largest: \( 7 \frac{3}{4} \, \text{L} \) (or \( 7750 \, \text{mL} \))

---

Section 3: Comparing Amounts

Compare each pair using \( > \), \( < \), or \( = \).

#### Pair 1:
- \( 2.25 \, \text{kg} \) vs. \( 2300 \, \text{g} \)
- \( 2.25 \, \text{kg} = 2250 \, \text{g} \)
- \( 2250 \, \text{g} < 2300 \, \text{g} \)
- Answer: \( < \)

#### Pair 2:
- \( 0.63 \, \text{L} \) vs. \( 630 \, \text{mL} \)
- \( 0.63 \, \text{L} = 630 \, \text{mL} \)
- Answer: \( = \)

#### Pair 3:
- \( 0.8 \, \text{kg} \) vs. \( 796 \, \text{g} \)
- \( 0.8 \, \text{kg} = 800 \, \text{g} \)
- \( 800 \, \text{g} > 796 \, \text{g} \)
- Answer: \( > \)

#### Pair 4:
- \( 250 \, \text{mL} \) vs. \( 2 \frac{1}{4} \, \text{L} \)
- \( 2 \frac{1}{4} \, \text{L} = 2.25 \, \text{L} = 2250 \, \text{mL} \)
- \( 250 \, \text{mL} < 2250 \, \text{mL} \)
- Answer: \( < \)

#### Pair 5:
- \( 2 \frac{3}{4} \, \text{L} \) vs. \( 2750 \, \text{mL} \)
- \( 2 \frac{3}{4} \, \text{L} = 2.75 \, \text{L} = 2750 \, \text{mL} \)
- Answer: \( = \)

#### Pair 6:
- \( 1850 \, \text{g} \) vs. \( 1.85 \, \text{kg} \)
- \( 1.85 \, \text{kg} = 1850 \, \text{g} \)
- Answer: \( = \)

#### Pair 7:
- \( 530 \, \text{g} \) vs. \( 0.6 \, \text{kg} \)
- \( 0.6 \, \text{kg} = 600 \, \text{g} \)
- \( 530 \, \text{g} < 600 \, \text{g} \)
- Answer: \( < \)

#### Pair 8:
- \( 4.52 \, \text{L} \) vs. \( 4515 \, \text{mL} \)
- \( 4.52 \, \text{L} = 4520 \, \text{mL} \)
- \( 4520 \, \text{mL} > 4515 \, \text{mL} \)
- Answer: \( > \)

#### Pair 9:
- \( 7.08 \, \text{L} \) vs. \( 7160 \, \text{mL} \)
- \( 7.08 \, \text{L} = 7080 \, \text{mL} \)
- \( 7080 \, \text{mL} < 7160 \, \text{mL} \)
- Answer: \( < \)

#### Pair 10:
- \( 1095 \, \text{g} \) vs. \( 1.1 \, \text{kg} \)
- \( 1.1 \, \text{kg} = 1100 \, \text{g} \)
- \( 1095 \, \text{g} < 1100 \, \text{g} \)
- Answer: \( < \)

---

Final Answers:

1. Conversions are correct as shown above.
2. Largest amounts:
- Group 1: \( 1.15 \, \text{kg} \)
- Group 2: \( 3290 \, \text{mL} \)
- Group 3: \( 0.3 \, \text{kg} \)
- Group 4: \( 7 \frac{3}{4} \, \text{L} \)
3. Comparisons:
- \( 2.25 \, \text{kg} < 2300 \, \text{g} \)
- \( 0.63 \, \text{L} = 630 \, \text{mL} \)
- \( 0.8 \, \text{kg} > 796 \, \text{g} \)
- \( 250 \, \text{mL} < 2 \frac{1}{4} \, \text{L} \)
- \( 2 \frac{3}{4} \, \text{L} = 2750 \, \text{mL} \)
- \( 1850 \, \text{g} = 1.85 \, \text{kg} \)
- \( 530 \, \text{g} < 0.6 \, \text{kg} \)
- \( 4.52 \, \text{L} > 4515 \, \text{mL} \)
- \( 7.08 \, \text{L} < 7160 \, \text{mL} \)
- \( 1095 \, \text{g} < 1.1 \, \text{kg} \)

\boxed{\text{All answers are correct as shown.}}