Metric Conversion Worksheets - Math Monks - Free Printable

Problem: Metric Conversions and Comparisons

#### Part 1: Convert the given values
We will solve each conversion step by step using the relationships between metric units.

1. 2.07 cm = ______ mm
- Conversion factor: 1 cm = 10 mm
- Calculation: \( 2.07 \, \text{cm} \times 10 = 20.7 \, \text{mm} \)
- Answer: 20.7 mm

2. 1.8 L = ______ mL
- Conversion factor: 1 L = 1000 mL
- Calculation: \( 1.8 \, \text{L} \times 1000 = 1800 \, \text{mL} \)
- Answer: 1800 mL

3. 0.75 kg = ______ g
- Conversion factor: 1 kg = 1000 g
- Calculation: \( 0.75 \, \text{kg} \times 1000 = 750 \, \text{g} \)
- Answer: 750 g

4. 4.48 km = ______ m
- Conversion factor: 1 km = 1000 m
- Calculation: \( 4.48 \, \text{km} \times 1000 = 4480 \, \text{m} \)
- Answer: 4480 m

5. 1408 m = ______ km
- Conversion factor: 1 km = 1000 m (or 1 m = 0.001 km)
- Calculation: \( 1408 \, \text{m} \div 1000 = 1.408 \, \text{km} \)
- Answer: 1.408 km

6. 960 cm = ______ m
- Conversion factor: 1 m = 100 cm (or 1 cm = 0.01 m)
- Calculation: \( 960 \, \text{cm} \div 100 = 9.6 \, \text{m} \)
- Answer: 9.6 m

7. 2560 g = ______ kg
- Conversion factor: 1 kg = 1000 g (or 1 g = 0.001 kg)
- Calculation: \( 2560 \, \text{g} \div 1000 = 2.56 \, \text{kg} \)
- Answer: 2.56 kg

8. 75 mm = ______ cm
- Conversion factor: 1 cm = 10 mm (or 1 mm = 0.1 cm)
- Calculation: \( 75 \, \text{mm} \div 10 = 7.5 \, \text{cm} \)
- Answer: 7.5 cm

9. 3.58 cm = ______ mm
- Conversion factor: 1 cm = 10 mm
- Calculation: \( 3.58 \, \text{cm} \times 10 = 35.8 \, \text{mm} \)
- Answer: 35.8 mm

10. 1500 mL = ______ L
- Conversion factor: 1 L = 1000 mL (or 1 mL = 0.001 L)
- Calculation: \( 1500 \, \text{mL} \div 1000 = 1.5 \, \text{L} \)
- Answer: 1.5 L

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#### Part 2: Compare using <, >, or =
We will compare each pair of values after converting them to the same unit.

1. 1.7 L ○ 900 mL
- Convert 1.7 L to mL: \( 1.7 \, \text{L} \times 1000 = 1700 \, \text{mL} \)
- Comparison: \( 1700 \, \text{mL} > 900 \, \text{mL} \)
- Answer: >

2. 1.32 km ○ 132 m
- Convert 1.32 km to m: \( 1.32 \, \text{km} \times 1000 = 1320 \, \text{m} \)
- Comparison: \( 1320 \, \text{m} > 132 \, \text{m} \)
- Answer: >

3. 5 cm ○ 48 mm
- Convert 5 cm to mm: \( 5 \, \text{cm} \times 10 = 50 \, \text{mm} \)
- Comparison: \( 50 \, \text{mm} > 48 \, \text{mm} \)
- Answer: >

4. 1010 g ○ 0.95 kg
- Convert 0.95 kg to g: \( 0.95 \, \text{kg} \times 1000 = 950 \, \text{g} \)
- Comparison: \( 1010 \, \text{g} > 950 \, \text{g} \)
- Answer: >

5. 4.6 m ○ 460 cm
- Convert 4.6 m to cm: \( 4.6 \, \text{m} \times 100 = 460 \, \text{cm} \)
- Comparison: \( 460 \, \text{cm} = 460 \, \text{cm} \)
- Answer: =

6. 1600 m ○ 1.8 km
- Convert 1.8 km to m: \( 1.8 \, \text{km} \times 1000 = 1800 \, \text{m} \)
- Comparison: \( 1600 \, \text{m} < 1800 \, \text{m} \)
- Answer: <

7. 0.06 L ○ 58 mL
- Convert 0.06 L to mL: \( 0.06 \, \text{L} \times 1000 = 60 \, \text{mL} \)
- Comparison: \( 60 \, \text{mL} > 58 \, \text{mL} \)
- Answer: >

8. 65 g ○ 0.42 kg
- Convert 0.42 kg to g: \( 0.42 \, \text{kg} \times 1000 = 420 \, \text{g} \)
- Comparison: \( 65 \, \text{g} < 420 \, \text{g} \)
- Answer: <

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Final Answers:

#### Part 1: Conversions
1. 20.7 mm
2. 1800 mL
3. 750 g
4. 4480 m
5. 1.408 km
6. 9.6 m
7. 2.56 kg
8. 7.5 cm
9. 35.8 mm
10. 1.5 L

#### Part 2: Comparisons
1. >
2. >
3. >
4. >
5. =
6. <
7. >
8. <

Boxed Final Answer:
\[
\boxed{
\begin{array}{ll}
\text{Part 1:} & \text{20.7 mm, 1800 mL, 750 g, 4480 m, 1.408 km, 9.6 m, 2.56 kg, 7.5 cm, 35.8 mm, 1.5 L} \\
\text{Part 2:} & \text{>, >, >, >, =, <, >, <}
\end{array}
}
\]