Metric Conversion Worksheet - Free Printable

Problem: Converting Metric Units of Length

The task involves converting between different metric units of length (kilometers, meters, centimeters, millimeters) and comparing their values. Let's solve each part step by step.

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#### Part 1: Converting Metric Units

The key conversions to remember are:
- 1 kilometer (km) = 1000 meters (m)
- 1 meter (m) = 100 centimeters (cm)
- 1 centimeter (cm) = 10 millimeters (mm)

Using these relationships, we can solve each problem:

1. 5 km = _____ m
- \( 5 \text{ km} = 5 \times 1000 \text{ m} = 5000 \text{ m} \)
- Answer: 5000 m

2. 600 cm = _____ m
- \( 600 \text{ cm} = \frac{600}{100} \text{ m} = 6 \text{ m} \)
- Answer: 6 m

3. 8 cm = _____ mm
- \( 8 \text{ cm} = 8 \times 10 \text{ mm} = 80 \text{ mm} \)
- Answer: 80 mm

4. _____ km = 4000 m
- \( 4000 \text{ m} = \frac{4000}{1000} \text{ km} = 4 \text{ km} \)
- Answer: 4 km

5. _____ m = 900 cm
- \( 900 \text{ cm} = \frac{900}{100} \text{ m} = 9 \text{ m} \)
- Answer: 9 m

6. 120 mm = _____ cm
- \( 120 \text{ mm} = \frac{120}{10} \text{ cm} = 12 \text{ cm} \)
- Answer: 12 cm

7. 7 km = _____ m
- \( 7 \text{ km} = 7 \times 1000 \text{ m} = 7000 \text{ m} \)
- Answer: 7000 m

8. 14 cm = _____ mm
- \( 14 \text{ cm} = 14 \times 10 \text{ mm} = 140 \text{ mm} \)
- Answer: 140 mm

9. 12 m = _____ cm
- \( 12 \text{ m} = 12 \times 100 \text{ cm} = 1200 \text{ cm} \)
- Answer: 1200 cm

10. _____ km = 13,000 m
- \( 13,000 \text{ m} = \frac{13,000}{1000} \text{ km} = 13 \text{ km} \)
- Answer: 13 km

11. _____ cm = 130 mm
- \( 130 \text{ mm} = \frac{130}{10} \text{ cm} = 13 \text{ cm} \)
- Answer: 13 cm

12. 1400 cm = _____ m
- \( 1400 \text{ cm} = \frac{1400}{100} \text{ m} = 14 \text{ m} \)
- Answer: 14 m

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#### Part 2: Circle the Largest Amount in Each Box

We need to compare the values in each box and identify the largest one.

1. Box 1:
- \( 100 \text{ m} \)
- \( 1 \text{ km} = 1000 \text{ m} \)
- \( 1000 \text{ cm} = 10 \text{ m} \)
- The largest is \( 1 \text{ km} \).

2. Box 2:
- \( 3 \text{ km} = 3000 \text{ m} \)
- \( 2850 \text{ m} \)
- \( 5000 \text{ cm} = 50 \text{ m} \)
- The largest is \( 3 \text{ km} \).

3. Box 3:
- \( 380 \text{ cm} = 3.8 \text{ m} \)
- \( 4000 \text{ mm} = 4 \text{ m} \)
- \( 3 \text{ m} \)
- The largest is \( 4000 \text{ mm} \).

4. Box 4:
- \( 9020 \text{ m} \)
- \( 20,000 \text{ cm} = 200 \text{ m} \)
- \( 9 \text{ km} = 9000 \text{ m} \)
- The largest is \( 9020 \text{ m} \).

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#### Part 3: Compare the Amounts Using >, <, or =

We compare each pair of values:

1. 1200 m vs. 1 km
- \( 1 \text{ km} = 1000 \text{ m} \)
- \( 1200 \text{ m} > 1000 \text{ m} \)
- Answer: >

2. 620 cm vs. 7 m
- \( 7 \text{ m} = 700 \text{ cm} \)
- \( 620 \text{ cm} < 700 \text{ cm} \)
- Answer: <

3. 8 m vs. 750 cm
- \( 8 \text{ m} = 800 \text{ cm} \)
- \( 800 \text{ cm} > 750 \text{ cm} \)
- Answer: >

4. 82 mm vs. 7 cm
- \( 7 \text{ cm} = 70 \text{ mm} \)
- \( 82 \text{ mm} > 70 \text{ mm} \)
- Answer: >

5. 45 mm vs. 5 cm
- \( 5 \text{ cm} = 50 \text{ mm} \)
- \( 45 \text{ mm} < 50 \text{ mm} \)
- Answer: <

6. 1300 cm vs. 13 m
- \( 13 \text{ m} = 1300 \text{ cm} \)
- \( 1300 \text{ cm} = 1300 \text{ cm} \)
- Answer: =

7. 900 m vs. 9 km
- \( 9 \text{ km} = 9000 \text{ m} \)
- \( 900 \text{ m} < 9000 \text{ m} \)
- Answer: <

8. 3 ½ km vs. 3080 m
- \( 3 \frac{1}{2} \text{ km} = 3.5 \text{ km} = 3500 \text{ m} \)
- \( 3500 \text{ m} > 3080 \text{ m} \)
- Answer: >

9. 12 cm vs. 120 mm
- \( 120 \text{ mm} = 12 \text{ cm} \)
- \( 12 \text{ cm} = 12 \text{ cm} \)
- Answer: =

10. 425 cm vs. 4 ½ m
- \( 4 \frac{1}{2} \text{ m} = 4.5 \text{ m} = 450 \text{ cm} \)
- \( 425 \text{ cm} < 450 \text{ cm} \)
- Answer: <

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Final Answers:

1. Converting Metric Units:
- 1) 5000 m
- 2) 6 m
- 3) 80 mm
- 4) 4 km
- 5) 9 m
- 6) 12 cm
- 7) 7000 m
- 8) 140 mm
- 9) 1200 cm
- 10) 13 km
- 11) 13 cm
- 12) 14 m

2. Circle the Largest Amount:
- Box 1: 1 km
- Box 2: 3 km
- Box 3: 4000 mm
- Box 4: 9020 m

3. Compare the Amounts:
- 1) >
- 2) <
- 3) >
- 4) >
- 5) <
- 6) =
- 7) <
- 8) >
- 9) =
- 10) <

Final Answer:
\[
\boxed{
\begin{array}{l}
\text{Converting Metric Units:} \\
1) 5000 \text{ m}, 2) 6 \text{ m}, 3) 80 \text{ mm}, 4) 4 \text{ km}, 5) 9 \text{ m}, 6) 12 \text{ cm}, \\
7) 7000 \text{ m}, 8) 140 \text{ mm}, 9) 1200 \text{ cm}, 10) 13 \text{ km}, 11) 13 \text{ cm}, 12) 14 \text{ m} \\
\\
\text{Circle the Largest Amount:} \\
\text{Box 1: } 1 \text{ km}, \text{Box 2: } 3 \text{ km}, \text{Box 3: } 4000 \text{ mm}, \text{Box 4: } 9020 \text{ m} \\
\\
\text{Compare the Amounts:} \\
1) >, 2) <, 3) >, 4) >, 5) <, 6) =, 7) <, 8) >, 9) =, 10) <
\end{array}
}
\]