Complete answer key for metric unit conversions covering length, weight, and volume measurements with comparison exercises

This image is a completed metric unit conversion worksheet titled *"Converting Metric Units – Length, Weight & Volume"*, and it includes answers for various problems. Let's go through the content step by step and explain the solutions.

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🔹 Part 1: Basic Conversions

These are straightforward metric conversions:

| Problem | Conversion | Answer |
|--------|------------|--------|
| 1) 1 kg = ? g | 1 kilogram = 1000 grams | 1000 g ✔ |
| 2) 2 kg = ? g | 2 × 1000 = 2000 g | 2000 g ✔ |
| 3) 1 cm = ? mm | 1 centimeter = 10 millimeters | 10 mm ✔ |
| 4) 2 cm = ? mm | 2 × 10 = 20 mm | 20 mm ✔ |
| 5) 1 km = ? m | 1 kilometer = 1000 meters | 1000 m ✔ |
| 6) 2 km = ? m | 2 × 1000 = 2000 m | 2000 m ✔ |
| 7) 1 L = ? mL | 1 liter = 1000 milliliters | 1000 mL ✔ |
| 8) 2 L = ? mL | 2 × 1000 = 2000 mL | 2000 mL ✔ |
| 9) 1 m = ? cm | 1 meter = 100 centimeters | 100 cm ✔ |
| 10) 2 m = ? cm | 2 × 100 = 200 cm | 200 cm ✔ |

✔ All correct — these are standard metric prefixes:
- kilo (k) = 1000
- centi (c) = 1/100 → so 100 cm = 1 m
- milli (m) = 1/1000 → so 1000 mm = 1 m, 1000 mL = 1 L

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🔹 Part 2: Which is the most? Circle the largest amount in each box

We compare values within each group after converting to the same unit.

#### Box 1: Mass (kg, g)
- 1 kg = 1000 g
- 300 g
- 950 g

👉 1000 g > 950 g > 300 g → 1 kg is largest ✔

#### Box 2: Length (m, cm, mm)
- 1 m = 100 cm = 1000 mm
- 80 cm = 80 cm
- 120 mm = 12 cm

So:
1 m = 100 cm > 80 cm > 12 cm → 1 m is largest ✔

#### Box 3: Volume (L, mL)
- 1 L = 1000 mL
- 1,250 mL
- 980 mL

So:
1,250 mL > 1000 mL > 980 mL → 1,250 mL is largest ✔

#### Box 4: Length (m, cm, km)
- 560 m
- 2,000 cm = 20 m (since 100 cm = 1 m → 2000 ÷ 100 = 20 m)
- 1 km = 1000 m

Now compare:
- 1000 m (1 km) > 560 m > 20 m → 1 km is largest ✔

✔️ All circled answers are correct.

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🔹 Part 3: Compare using >, <, or =

We convert both sides to the same unit and compare.

| Problem | Left Side | Right Side | Comparison | Explanation |
|--------|-----------|------------|------------|-------------|
| 1) 1 L vs 590 mL | 1 L = 1000 mL | 590 mL | > | 1000 > 590 |
| 2) 1 m vs 75 cm | 1 m = 100 cm | 75 cm | > | 100 > 75 |
| 3) 20 mm vs 2 cm | 20 mm | 2 cm = 20 mm | = | 20 mm = 20 mm |
| 4) 1 km vs 250 m | 1 km = 1000 m | 250 m | > | 1000 > 250 |
| 5) 250 cm vs 2 m | 250 cm | 2 m = 200 cm | > | 250 > 200 |
| 6) 50 mm vs 7 cm | 50 mm | 7 cm = 70 mm | < | 50 < 70 |
| 7) 1,200 g vs 1 kg | 1,200 g | 1 kg = 1000 g | > | 1200 > 1000 |
| 8) 4 m vs 350 cm | 4 m = 400 cm | 350 cm | > | 400 > 350 |
| 9) 200 mL vs 2 L | 200 mL | 2 L = 2000 mL | < | 200 < 2000 |
| 10) 300 cm vs 3 m | 300 cm | 3 m = 300 cm | = | Equal |
| 11) 970 m vs 1 km | 970 m | 1 km = 1000 m | < | 970 < 1000 |
| 12) 4 kg vs 500 g | 4 kg = 4000 g | 500 g | > | 4000 > 500 |

✔ All comparisons are correctly filled in.

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✔ Final Summary:

All answers on this worksheet are correct, and the reasoning behind each one follows standard metric conversions:

- Mass: 1 kg = 1000 g
- Length: 1 m = 100 cm = 1000 mm; 1 km = 1000 m
- Volume: 1 L = 1000 mL

The student has done an excellent job solving the problems, showing proper understanding of unit conversions and comparisons.

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💡 Tips for Students:
- Always convert to the same unit before comparing.
- Remember the metric prefixes: kilo (1000), hecto (100), deca (10), base unit, deci (0.1), centi (0.01), milli (0.001).
- Use multiplication/division by powers of 10 when converting.

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