Metric Conversion Worksheet for 7th - 12th Grade | Lesson Planet - Free Printable

I need to solve the metric conversion problems in this worksheet. The task is to convert various metric units (like km, m, cm, mm, dam, hm) into other metric units.

Let me start by looking at the first few problems to understand the pattern and then I'll solve them systematically.

First, look closely:
- The worksheet is titled "METRIC CONVERSION"
- It asks to "Convert the given measurements to the target units."
- There are 42 problems total, numbered 1-42.
- Each problem has a measurement on the left and a blank space followed by the target unit on the right.
- The units involved are: km (kilometers), m (meters), cm (centimeters), mm (millimeters), dam (decameters), hm (hectometers).

I'll begin solving these conversions one by one, starting with the first row.

Problem 1: 45 cm = ___ dm
I know that 1 dm (decimeter) = 10 cm, so to convert cm to dm, I divide by 10.
45 cm ÷ 10 = 4.5 dm

Problem 2: 81 cm = ___ dam
I know that 1 dam (decameter) = 10 meters = 1000 cm, so to convert cm to dam, I divide by 1000.
81 cm ÷ 1000 = 0.081 dam

Problem 3: 67 m = ___ km
I know that 1 km = 1000 m, so to convert m to km, I divide by 1000.
67 m ÷ 1000 = 0.067 km

Let me continue with the next row.

Problem 4: 38 cm = ___ dm
Again, 1 dm = 10 cm, so 38 cm ÷ 10 = 3.8 dm

Problem 5: 925 mm = ___ m
I know that 1 m = 1000 mm, so to convert mm to m, I divide by 1000.
925 mm ÷ 1000 = 0.925 m

Problem 6: 427 mm = ___ cm
I know that 1 cm = 10 mm, so to convert mm to cm, I divide by 10.
427 mm ÷ 10 = 42.7 cm

I'll continue this pattern for all 42 problems. Let me solve the rest systematically.

Problem 7: 74 mm = ___ cm
74 mm ÷ 10 = 7.4 cm

Problem 8: 96 dam = ___ km
1 dam = 10 m, and 1 km = 1000 m, so 1 km = 100 dam. Therefore, to convert dam to km, I divide by 100.
96 dam ÷ 100 = 0.96 km

Problem 9: 58 mm = ___ cm
58 mm ÷ 10 = 5.8 cm

Problem 10: 25 cm = ___ dm
25 cm ÷ 10 = 2.5 dm

Problem 11: 585 cm = ___ m
1 m = 100 cm, so 585 cm ÷ 100 = 5.85 m

Problem 12: 592 cm = ___ m
592 cm ÷ 100 = 5.92 m

Problem 13: 27 dm = ___ cm
1 dm = 10 cm, so 27 dm × 10 = 270 cm

Problem 14: 835 cm = ___ m
835 cm ÷ 100 = 8.35 m

Problem 15: 224 mm = ___ cm
224 mm ÷ 10 = 22.4 cm

Problem 16: 31 cm = ___ dm
31 cm ÷ 10 = 3.1 dm

Problem 17: 238 dm = ___ m
1 m = 10 dm, so 238 dm ÷ 10 = 23.8 m

Problem 18: 612 mm = ___ cm
612 mm ÷ 10 = 61.2 cm

Problem 19: 18 dam = ___ km
18 dam ÷ 100 = 0.18 km

Problem 20: 61 dam = ___ km
61 dam ÷ 100 = 0.61 km

Problem 21: 79 dm = ___ m
79 dm ÷ 10 = 7.9 m

Problem 22: 28 cm = ___ dm
28 cm ÷ 10 = 2.8 dm

Problem 23: 284 cm = ___ m
284 cm ÷ 100 = 2.84 m

Problem 24: 79 m = ___ km
79 m ÷ 1000 = 0.079 km

Problem 25: 70 cm = ___ dm
70 cm ÷ 10 = 7.0 dm

Problem 26: 48 cm = ___ m
48 cm ÷ 100 = 0.48 m

Problem 27: 18 dam = ___ km
18 dam ÷ 100 = 0.18 km

Problem 28: 63 cm = ___ dm
63 cm ÷ 10 = 6.3 dm

Problem 29: 634 mm = ___ cm
634 mm ÷ 10 = 63.4 cm

Problem 30: 473 mm = ___ cm
473 mm ÷ 10 = 47.3 cm

Problem 31: 18 dm = ___ cm
18 dm × 10 = 180 cm

Problem 32: 249 mm = ___ cm
249 mm ÷ 10 = 24.9 cm

Problem 33: 490 cm = ___ m
490 cm ÷ 100 = 4.90 m

Problem 34: 55 mm = ___ cm
55 mm ÷ 10 = 5.5 cm

Problem 35: 43 m = ___ km
43 m ÷ 1000 = 0.043 km

Problem 36: 48 m = ___ km
48 m ÷ 1000 = 0.048 km

Problem 37: 75 m = ___ km
75 m ÷ 1000 = 0.075 km

Problem 38: 27 cm = ___ dm
27 cm ÷ 10 = 2.7 dm

Problem 39: 61 mm = ___ cm
61 mm ÷ 10 = 6.1 cm

Problem 40: 32 cm = ___ dm
32 cm ÷ 10 = 3.2 dm

Problem 41: 37 m = ___ km
37 m ÷ 1000 = 0.037 km

Problem 42: 52 cm = ___ dm
52 cm ÷ 10 = 5.2 dm

Now I have solved all 42 problems. Let me summarize the answers:

1. 4.5 dm
2. 0.081 dam
3. 0.067 km
4. 3.8 dm
5. 0.925 m
6. 42.7 cm
7. 7.4 cm
8. 0.96 km
9. 5.8 cm
10. 2.5 dm
11. 5.85 m
12. 5.92 m
13. 270 cm
14. 8.35 m
15. 22.4 cm
16. 3.1 dm
17. 23.8 m
18. 61.2 cm
19. 0.18 km
20. 0.61 km
21. 7.9 m
22. 2.8 dm
23. 2.84 m
24. 0.079 km
25. 7.0 dm
26. 0.48 m
27. 0.18 km
28. 6.3 dm
29. 63.4 cm
30. 47.3 cm
31. 180 cm
32. 24.9 cm
33. 4.90 m
34. 5.5 cm
35. 0.043 km
36. 0.048 km
37. 0.075 km
38. 2.7 dm
39. 6.1 cm
40. 3.2 dm
41. 0.037 km
42. 5.2 dm

The solution involves understanding the metric system conversion factors:
- 1 km = 1000 m
- 1 m = 100 cm = 1000 mm
- 1 cm = 10 mm
- 1 dm = 10 cm = 0.1 m
- 1 dam = 10 m = 0.01 km
- 1 hm = 100 m = 0.1 km

By applying these conversion factors, I was able to solve all the problems.