Metric length conversion worksheet with exercises on converting units and comparing measurements.

Here are the solutions to the problems on the worksheet.

Part 1: Convert the following metric units of length

To solve these, remember the rules from the chart at the top:
* Big to Small (km → m → cm → mm): Multiply by 10, 100, or 1000 (add zeros).
* Small to Big (mm → cm → m → km): Divide by 10, 100, or 1000 (remove zeros or move the decimal).

1) 5 km = \_\_\_\_ m
* Kilometers to meters is $\times 1000$.
* $5 \times 1000 = 5000$
* Answer: 5000

2) 600 cm = \_\_\_\_ m
* Centimeters to meters is $\div 100$.
* $600 \div 100 = 6$
* Answer: 6

3) 8 cm = \_\_\_\_ mm
* Centimeters to millimeters is $\times 10$.
* $8 \times 10 = 80$
* Answer: 80

4) \_\_\_\_ km = 4000 m
* Meters to kilometers is $\div 1000$.
* $4000 \div 1000 = 4$
* Answer: 4

5) \_\_\_\_ m = 900 cm
* Centimeters to meters is $\div 100$.
* $900 \div 100 = 9$
* Answer: 9

6) 120 mm = \_\_\_\_ cm
* Millimeters to centimeters is $\div 10$.
* $120 \div 10 = 12$
* Answer: 12

7) 7 km = \_\_\_\_ m
* Kilometers to meters is $\times 1000$.
* $7 \times 1000 = 7000$
* Answer: 7000

8) 14 cm = \_\_\_\_ mm
* Centimeters to millimeters is $\times 10$.
* $14 \times 10 = 140$
* Answer: 140

9) 12 m = \_\_\_\_ cm
* Meters to centimeters is $\times 100$.
* $12 \times 100 = 1200$
* Answer: 1200

10) \_\_\_\_ km = 13,000 m
* Meters to kilometers is $\div 1000$.
* $13,000 \div 1000 = 13$
* Answer: 13

11) \_\_\_\_ cm = 130 mm
* Millimeters to centimeters is $\div 10$.
* $130 \div 10 = 13$
* Answer: 13

12) 1400 cm = \_\_\_\_ m
* Centimeters to meters is $\div 100$.
* $1400 \div 100 = 14$
* Answer: 14

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

Box 1:
* 100 m
* 1 km (which is 1000 m)
* 1000 cm (which is 10 m)
* Largest: 1 km (Already circled in image)

Box 2:
* 3 km (which is 3000 m)
* 2850 m
* 5000 cm (which is 50 m)
* Comparison: 3000 m vs 2850 m vs 50 m.
* Largest: 3 km

Box 3:
* 380 cm (which is 3.8 m)
* 4000 mm (which is 400 cm or 4 m)
* 3 m (which is 300 cm)
* Comparison: 380 cm vs 400 cm vs 300 cm.
* Largest: 4000 mm

Box 4:
* 9020 m
* 20,000 cm (which is 200 m)
* 9 km (which is 9000 m)
* Comparison: 9020 m vs 200 m vs 9000 m.
* Largest: 9020 m

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Part 3: Use greater than (>), less than (<) or equals (=) to compare.

1) 3 km [ > ] 2000 m
* 3 km = 3000 m. 3000 is greater than 2000.

2) 1000 m [ = ] 1 km
* 1000 m is exactly equal to 1 km.

3) 5 cm [ = ] 50 mm
* $5 \text{ cm} \times 10 = 50 \text{ mm}$. They are equal.

4) 300 m [ < ] 3 km
* 3 km = 3000 m. 300 is less than 3000.

5) 7 m [ > ] 500 cm
* $7 \text{ m} \times 100 = 700 \text{ cm}$. 700 is greater than 500.

6) 6 cm [ < ] 80 mm
* $6 \text{ cm} \times 10 = 60 \text{ mm}$. 60 is less than 80.

7) 30 mm [ = ] 3 cm
* $30 \text{ mm} \div 10 = 3 \text{ cm}$. They are equal.

8) 800 cm [ < ] 7 m
* $7 \text{ m} \times 100 = 700 \text{ cm}$... Wait, let's re-check.
* Left side: 800 cm. Right side: 7 m = 700 cm.
* 800 is greater than 700.
* Correction: 800 cm [ > ] 7 m

9) 40 cm [ < ] 4 m
* $4 \text{ m} \times 100 = 400 \text{ cm}$. 40 is less than 400.

10) 5 km [ > ] 4900 m
* $5 \text{ km} = 5000 \text{ m}$. 5000 is greater than 4900.

Final Answer:
Part 1: Conversions
1) 5000
2) 6
3) 80
4) 4
5) 9
6) 12
7) 7000
8) 140
9) 1200
10) 13
11) 13
12) 14

Part 2: Circle the Largest
* Box 2: 3 km
* Box 3: 4000 mm
* Box 4: 9020 m

Part 3: Comparisons
1) >
2) =
3) =
4) <
5) >
6) <
7) =
8) >
9) <
10) >