Chemistry metric conversion practice worksheet for scientific measurement.

Let's solve each of these metric conversion problems step by step. The key to solving metric conversions is understanding the prefixes and their relationships:

Metric Prefixes (for length, mass, volume):

- kilo (k) = 1000
- hecto (h) = 100
- deca (da) = 10
- base unit (m, g, L) = 1
- deci (d) = 0.1
- centi (c) = 0.01
- milli (m) = 0.001

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We'll go through each problem one by one.

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Length Conversions

1. 1 km = ______ cm
- 1 km = 1000 m
- 1 m = 100 cm
- So: 1 km = 1000 × 100 = 100,000 cm

2. 1 km = ______ cm
- Same as #1 → 100,000 cm

3. 500 km = ______ cm
- 500 km = 500 × 100,000 = 50,000,000 cm

4. 1 mm = ______ dm
- 1 mm = 0.001 m
- 1 dm = 0.1 m → so 1 mm = 0.001 / 0.1 = 0.01 dm

5. 500 m = ______ km
- 1 km = 1000 m → 500 m = 500 / 1000 = 0.5 km

6. 1 hm = ______ cm
- 1 hm = 100 m
- 1 m = 100 cm → 100 × 100 = 10,000 cm

7. 1 m = ______ km
- 1 m = 0.001 km

8. 1 dm = ______ dm
- This is just 1 → 1 dm

9. 1 dm = ______ m
- 1 dm = 0.1 m

10. 1 mm = ______ m
- 1 mm = 0.001 m

11. 12.34 m = ______ cm
- 1 m = 100 cm → 12.34 × 100 = 1234 cm

12. 65.4 mm = ______ cm
- 1 mm = 0.1 cm → 65.4 × 0.1 = 6.54 cm

13. 7750 km = ______ m
- 1 km = 1000 m → 7750 × 1000 = 7,750,000 m

14. 222.2 cm = ______ dm
- 1 dm = 10 cm → 222.2 / 10 = 22.22 dm

15. 0.125 m = ______ km
- 1 m = 0.001 km → 0.125 × 0.001 = 0.000125 km

16. 10.0 km = ______ hm
- 1 km = 10 hm → 10.0 × 10 = 100 hm

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Mass Conversions

17. 6.7890 kg = ______ g
- 1 kg = 1000 g → 6.7890 × 1000 = 6789 g

18. 1.01 g = ______ mg
- 1 g = 1000 mg → 1.01 × 1000 = 1010 mg

19. 9.009 cg = ______ kg
- 1 cg = 0.01 g
- 9.009 cg = 9.009 × 0.01 = 0.09009 g
- 1 kg = 1000 g → 0.09009 / 1000 = 0.00009009 kg

20. 80.5 dkg = ______ g
- 1 dkg = 10 g → 80.5 × 10 = 805 g

21. 0.40 dg = ______ hg
- 1 dg = 0.1 g
- 0.40 dg = 0.04 g
- 1 hg = 100 g → 0.04 / 100 = 0.0004 hg

22. 0.56 kg = ______ cg
- 1 kg = 1000 g → 0.56 kg = 560 g
- 1 g = 100 cg → 560 × 100 = 56,000 cg

23. 8.90 kg = ______ dg
- 1 kg = 1000 g → 8.90 kg = 8900 g
- 1 g = 10 dg → 8900 × 10 = 89,000 dg

24. 6707 mg = ______ g
- 1 mg = 0.001 g → 6707 × 0.001 = 6.707 g

25. 67707.0 mg = ______ kg
- 67707 mg = 67.707 g (÷1000)
- 67.707 g = 0.067707 kg → 0.067707 kg

26. 40.001 mg = ______ g
- 40.001 mg = 40.001 × 0.001 = 0.040001 g

27. 0.500 dkg = ______ g
- 1 dkg = 10 g → 0.500 × 10 = 5.00 g

28. 30.00 dkg = ______ dg
- 1 dkg = 10 g → 30.00 dkg = 300 g
- 1 g = 10 dg → 300 × 10 = 3000 dg

29. 12.21 mm = ______ hm
- 1 mm = 0.001 m
- 1 hm = 100 m → so 1 mm = 0.001 / 100 = 0.00001 hm
- 12.21 mm = 12.21 × 0.00001 = 0.0001221 hm

30. 698.7 cm = ______ km
- 1 cm = 0.01 m
- 698.7 cm = 6.987 m
- 1 km = 1000 m → 6.987 / 1000 = 0.006987 km

31. 0.001 cm = ______ mm
- 1 cm = 10 mm → 0.001 cm = 0.001 × 10 = 0.01 mm

32. 0.0001 mm = ______ m
- 1 mm = 0.001 m → 0.0001 mm = 0.0001 × 0.001 = 0.0000001 m

33. 500.0 dm = ______ m
- 1 dm = 0.1 m → 500.0 × 0.1 = 50.0 m

34. 525.2 g = ______ dg
- 1 g = 10 dg → 525.2 × 10 = 5252 dg

35. 0.007 cm = ______ hm
- 1 cm = 0.01 m
- 0.007 cm = 0.00007 m
- 1 hm = 100 m → 0.00007 / 100 = 0.0000007 hm

36. 0.007 hm = ______ cm
- 1 hm = 100 m → 0.007 hm = 0.7 m
- 1 m = 100 cm → 0.7 × 100 = 70 cm

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✔ Final Answers:

| # | Answer |
|---|--------|
| 1 | 100,000 cm |
| 2 | 100,000 cm |
| 3 | 50,000,000 cm |
| 4 | 0.01 dm |
| 5 | 0.5 km |
| 6 | 10,000 cm |
| 7 | 0.001 km |
| 8 | 1 dm |
| 9 | 0.1 m |
|10 | 0.001 m |
|11 | 1234 cm |
|12 | 6.54 cm |
|13 | 7,750,000 m |
|14 | 22.22 dm |
|15 | 0.000125 km |
|16 | 100 hm |
|17 | 6789 g |
|18 | 1010 mg |
|19 | 0.00009009 kg |
|20 | 805 g |
|21 | 0.0004 hg |
|22 | 56,000 cg |
|23 | 89,000 dg |
|24 | 6.707 g |
|25 | 0.067707 kg |
|26 | 0.040001 g |
|27 | 5.00 g |
|28 | 3000 dg |
|29 | 0.0001221 hm |
|30 | 0.006987 km |
|31 | 0.01 mm |
|32 | 0.0000001 m |
|33 | 50.0 m |
|34 | 5252 dg |
|35 | 0.0000007 hm |
|36 | 70 cm |

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✔ Let me know if you'd like this formatted in a printable table or need help with any specific concept!