Question

metric conversion problems

1. 2 m = ______ mm
2. 1500 cm = ____ m
3. 2000 mm = ____ km
4. 3 km = ____ m
5. 500 mm = ____ m
6. 36 dm = ____ m
7. 22.5 mm = ____ cm
8. 1 km = ____ m
9. 100 cm = ____ m
10. 1000 g = ____ kg
11. 1000 mg = ____ g
12. 83.6 mg = ____ g
13. 2.83 kg = ____ g
14. 58.3 g = ____ mg
15. 43,861 mg = ____ g
16. 68.24 kg = ____ g
17. 4286 mg = ____ kg
18. 284 kg = ____ mg
19. 54 g = ____ kg
20. 1000 ml = ____ l
21. 1 l = ____ ml
22. 386 ml = ____ l
23. 361.47 ml = ____ l
24. 227 l = ____ ml
25. 42 g water = ____ ml
26. 3.6 l water = ____ g
27. 3.35 cm³ = ____ ml
28. 555.4 ml = ____ kg
29. 68 cm³ = ____ ml
30. 1 ml = ____ cm³

Explanation:

Step1: Recall metric - length conversion

1 m = 1000 mm, so for 2 m, 2×1000 = 2000 mm.

Step2: Recall metric - length conversion

1 m = 100 cm, so 1500 cm÷100 = 15 m.

Step3: Recall metric - length conversion

1 km = 1000000 mm, so 2000 mm÷1000000 = 0.002 km.

Step4: Recall metric - length conversion

1 km = 1000 m, so 3 km×1000 = 3000 m.

Step5: Recall metric - length conversion

1 m = 1000 mm, so 500 mm÷1000 = 0.5 m.

Step6: Recall metric - length conversion

1 m = 10 dm, so 36 dm÷10 = 3.6 m.

Step7: Recall metric - length conversion

1 cm = 10 mm, so 22.5 mm÷10 = 2.25 cm.

Step8: Recall metric - length conversion

1 km = 1000 m, so 1 km = 1000 m.

Step9: Recall metric - length conversion

1 m = 100 cm, so 100 cm÷100 = 1 m.

Step10: Recall metric - mass conversion

1 kg = 1000 g, so 1000 g÷1000 = 1 kg.

Step11: Recall metric - mass conversion

1 g = 1000 mg, so 1000 mg÷1000 = 1 g.

Step12: Recall metric - mass conversion

1 g = 1000 mg, so 83.6 mg÷1000 = 0.0836 g.

Step13: Recall metric - mass conversion

1 kg = 1000 g, so 2.83 kg×1000 = 2830 g.

Step14: Recall metric - mass conversion

1 g = 1000 mg, so 58.3 g×1000 = 58300 mg.

Step15: Recall metric - mass conversion

1 g = 1000 mg, so 43861 mg÷1000 = 43.861 g.

Step16: Recall metric - mass conversion

1 kg = 1000 g, so 68.24 kg×1000 = 68240 g.

Step17: Recall metric - mass conversion

1 kg = 1000000 mg, so 4286 mg÷1000000 = 0.004286 kg.

Step18: Recall metric - mass conversion

1 kg = 1000000 mg, so 284 kg×1000000 = 284000000 mg.

Step19: Recall metric - mass conversion

1 kg = 1000 g, so 54 g÷1000 = 0.054 kg.

Step20: Recall metric - volume conversion

1 L = 1000 mL, so 1000 mL÷1000 = 1 L.

Step21: Recall metric - volume conversion

1 L = 1000 mL, so 1 L×1000 = 1000 mL.

Step22: Recall metric - volume conversion

1 L = 1000 mL, so 386 mL÷1000 = 0.386 L.

Step23: Recall metric - volume conversion

1 L = 1000 mL, so 361.47 mL÷1000 = 0.36147 L.

Step24: Recall metric - volume conversion

1 L = 1000 mL, so 227 L×1000 = 227000 mL.

Step25: Recall density of water

Density of water is 1 g/mL, so 42 g of water is 42 mL.

Step26: Recall density of water

Density of water is 1 g/mL, 3.6 L = 3600 mL, so mass of water is 3600 g.

Step27: Recall volume conversion

1 cm³ = 1 mL, so 3.35 cm³ = 3.35 mL.

Step28: Recall metric - volume and mass conversion

1 L = 1000 mL, 1 kg = 1000 g, 555.4 mL = 0.5554 L, for water with density 1 g/mL, 555.4 g = 0.5554 kg.

Step29: Recall volume conversion

1 cm³ = 1 mL, so 68 cm³ = 68 mL.

Step30: Recall volume conversion

1 mL = 1 cm³.

Answer:

1. 2000
2. 15
3. 0.002
4. 3000
5. 0.5
6. 3.6
7. 2.25
8. 1000
9. 1
10. 1
11. 1
12. 0.0836
13. 2830
14. 58300
15. 43.861
16. 68240
17. 0.004286
18. 284000000
19. 0.054
20. 1
21. 1000
22. 0.386
23. 0.36147
24. 227000
25. 42
26. 3600
27. 3.35
28. 0.5554
29. 68
30. 1