Metric Conversion Practice Worksheets - Free Printable

It looks like you've uploaded a Metric Conversion Worksheet Answers page, which provides solutions to 30 metric conversion problems involving units such as millimeters (mm), centimeters (cm), meters (m), kilometers (km), grams (g), kilograms (kg), milliliters (mL), and liters (L).

Since this is an answer key, it already contains the correct answers. However, I can help explain how to solve each type of conversion and walk through some examples so you understand the reasoning behind the conversions.

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🔍 Understanding Metric Conversions

The metric system uses prefixes that represent powers of 10:

| Prefix | Meaning | Example |
|--------|--------|--------|
| kilo- (k) | 1000 times larger | 1 km = 1000 m |
| hecto- (h) | 100 times larger | 1 hm = 100 m |
| deca- (da) | 10 times larger | 1 dam = 10 m |
| base unit | meter (m), gram (g), liter (L) | 1 m, 1 g, 1 L |
| deci- (d) | 1/10 | 1 dm = 0.1 m |
| centi- (c) | 1/100 | 1 cm = 0.01 m |
| milli- (m) | 1/1000 | 1 mm = 0.001 m |

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✔ Common Conversion Factors

| Conversion | Formula |
|----------|--------|
| Length | 1 m = 100 cm = 1000 mm<br>1 km = 1000 m |
| Mass | 1 kg = 1000 g |
| Volume | 1 L = 1000 mL |

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🧮 Step-by-Step Examples

Let’s go through a few problems from the worksheet and explain how to solve them:

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#### 🔹 Problem 1: 6.6 cm = ? mm
We know:
1 cm = 10 mm
So:
6.6 cm × 10 = 66 mm

✔ Answer: 66 mm

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#### 🔹 Problem 2: 5300 g = ? kg
We know:
1 kg = 1000 g
So:
5300 ÷ 1000 = 5.3 kg

✔ Answer: 5.3 kg

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#### 🔹 Problem 3: 2.5 m = ? cm
We know:
1 m = 100 cm
So:
2.5 × 100 = 250 cm

✔ Answer: 250 cm

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#### 🔹 Problem 4: 5600 m = ? km
We know:
1 km = 1000 m
So:
5600 ÷ 1000 = 5.6 km

✔ Answer: 5.6 km

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#### 🔹 Problem 5: 6 L = ? mL
We know:
1 L = 1000 mL
So:
6 × 1000 = 6000 mL

✔ Answer: 6000 mL

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#### 🔹 Problem 9: 2.2 kg = ? g
We know:
1 kg = 1000 g
So:
2.2 × 1000 = 2200 g

✔ Answer: 2200 g

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#### 🔹 Problem 13: 4200 g = ? kg
4200 ÷ 1000 = 4.2 kg

✔ Answer: 4.2 kg

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#### 🔹 Problem 17: 2.2 km = ? m
2.2 × 1000 = 2200 m

✔ Answer: 2200 m

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#### 🔹 Problem 20: 8600 m = ? km
8600 ÷ 1000 = 8.6 km

✔ Answer: 8.6 km

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#### 🔹 Problem 29: 7100 m = ? km
7100 ÷ 1000 = 7.1 km

✔ Answer: 7.1 km

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📌 General Rule for Converting:

- To convert to a smaller unit: Multiply
- To convert to a larger unit: Divide

Example:
- Convert 5000 m → km: divide by 1000 → 5 km
- Convert 3.5 km → m: multiply by 1000 → 3500 m

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✔ Summary of Key Patterns

| From → To | Operation | Example |
|---------|--------|--------|
| cm → mm | × 10 | 5 cm = 50 mm |
| m → cm | × 100 | 3 m = 300 cm |
| m → km | ÷ 1000 | 4000 m = 4 km |
| g → kg | ÷ 1000 | 2500 g = 2.5 kg |
| L → mL | × 1000 | 2 L = 2000 mL |
| mL → L | ÷ 1000 | 750 mL = 0.75 L |

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💡 Tips for Success

1. Memorize the base unit and its prefix values.
2. Use a number line or ladder method if needed.
3. Always check whether you're going up (larger unit) or down (smaller unit).
4. Pay attention to decimal places — especially when converting between units with different scales.

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