Metric Conversion Worksheet - Free Printable

The image you've uploaded is a completed worksheet titled *"Converting Metric Units – Length, Weight & Volume Sheet 3 Answers"*, which includes:

1. Unit conversions
2. Identifying the largest amount in each group
3. Comparing metric units using >, <, or =

Let’s go through each section and explain the solutions step by step.

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🔹 Part 1: Converting Metric Units

These problems involve converting between different metric units (grams to kilograms, centimeters to millimeters, etc.).

#### Conversion Rules:
- Mass:
- 1 kg = 1000 g
- So, to convert kg → g: multiply by 1000
- To convert g → kg: divide by 1000

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

- Volume:
- 1 L = 1000 mL

Now let's verify each conversion:

| Problem | Conversion | Solution |
|--------|------------|---------|
| 1) 1.9 kg = ? g | 1.9 × 1000 = 1900 | ✔ 1900 g |
| 2) 0.32 kg = ? g | 0.32 × 1000 = 320 | ✔ 320 g |
| 3) 5.7 cm = ? mm | 5.7 × 10 = 57 | ✔ 57 mm |
| 4) 2.4 cm = ? mm | 2.4 × 10 = 24 | ✔ 24 mm |
| 5) 1.84 km = ? m | 1.84 × 1000 = 1840 | ✔ 1840 m |
| 6) 0.72 km = ? m | 0.72 × 1000 = 720 | ✔ 720 m |
| 7) 1.09 L = ? mL | 1.09 × 1000 = 1090 | ✔ 1090 mL |
| 8) 2.8 L = ? mL | 2.8 × 1000 = 2800 | ✔ 2800 mL |
| 9) 0.91 m = ? cm | 0.91 × 100 = 91 | ✔ 91 cm |
|10) 2.3 m = ? cm | 2.3 × 100 = 230 | ✔ 230 cm |

✔ All conversions are correct.

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

We need to compare values in the same unit and find the largest.

#### Box 1: Mass
- 1.2 kg = 1200 g
- 1300 g
- 950 g

→ 1300 g is the largest → ✔ 1300 g is circled.

> Note: 1.2 kg = 1200 g < 1300 g → so 1300 g wins.

#### Box 2: Length
- 0.7 m = 70 cm
- 65 cm
- 687 mm = 68.7 cm

Convert all to cm:
- 0.7 m = 70 cm
- 65 cm
- 687 mm = 68.7 cm

→ Largest: 70 cm → ✔ 0.7 m is circled.

#### Box 3: Volume
- 1.09 L = 1090 mL
- 1400 mL
- 1098 mL

→ Largest: 1400 mL → ✔ 1400 mL is circled.

#### Box 4: Length
- 2390 m
- 2,570 cm = 25.7 m
- 2.4 km = 2400 m

Convert all to meters:
- 2390 m
- 2,570 cm = 25.7 m
- 2.4 km = 2400 m

→ Compare: 2390 m vs 25.7 m vs 2400 m → 2400 m is largest → ✔ 2.4 km is circled.

✔ All selections are correct.

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🔹 Part 3: Use >, <, or = to compare amounts

We must convert both sides to the same unit before comparing.

| Problem | Left Side | Right Side | Convert & Compare | Answer |
|--------|-----------|------------|-------------------|--------|
| 1) 1.2 L vs 990 mL | 1.2 L = 1200 mL | 990 mL | 1200 > 990 → ✔ > |
| 2) 1.72 m vs 149 cm | 1.72 m = 172 cm | 149 cm | 172 > 149 → ✔ > |
| 3) 28 mm vs 2.8 cm | 28 mm | 2.8 cm = 28 mm | 28 = 28 → ✔ = |
| 4) 1.32 km vs 132 m | 1.32 km = 1320 m | 132 m | 1320 > 132 → ✔ > |
| 5) 256 cm vs 2.7 m | 256 cm | 2.7 m = 270 cm | 256 < 270 → ✔ < |
| 6) 15 mm vs 2.2 cm | 15 mm | 2.2 cm = 22 mm | 15 < 22 → ✔ < |
| 7) 1,016 g vs 0.95 kg | 1016 g | 0.95 kg = 950 g | 1016 > 950 → ✔ > |
| 8) 4.6 m vs 460 cm | 4.6 m = 460 cm | 460 cm | 460 = 460 → ✔ = |
| 9) 65 mL vs 0.42 L | 65 mL | 0.42 L = 420 mL | 65 < 420 → ✔ < |
|10) 37 cm vs 0.04 m | 37 cm | 0.04 m = 4 cm | 37 > 4 → ✔ > |
|11) 1,120 m vs 1.05 km | 1120 m | 1.05 km = 1050 m | 1120 > 1050 → ✔ > |
|12) 0.06 kg vs 58 g | 0.06 kg = 60 g | 58 g | 60 > 58 → ✔ > |

✔ All comparisons are correct.

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✔ Final Summary

All answers on the worksheet are correct and well-explained. The student has:

- Properly converted units using metric prefixes.
- Correctly identified the largest value in each group.
- Accurately compared quantities after converting to common units.

This worksheet demonstrates strong understanding of metric unit conversions and comparisons across length, mass, and volume.

Let me know if you'd like this turned into a printable version or want practice problems!