Let's solve each of these metric conversion problems step by step. We'll use the metric system prefixes and their relationships:
Metric Prefixes (from largest to smallest):
-
kilo (k) = 1000
-
hecto (h) = 100
-
deca (da) = 10
-
base unit (g, L, m)
-
deci (d) = 0.1
-
centi (c) = 0.01
-
milli (m) = 0.001
Also:
- 1 cm³ = 1 mL
- 1 cc = 1 mL = 1 cm³
---
1. 36.52 mg = ________ g
Conversion: 1 g = 1000 mg → divide by 1000
36.52 ÷ 1000 =
0.03652 g
✔ Answer: 0.03652 g
---
2. 14.72 kg = ________ mg
Conversion: 1 kg = 1000 g, 1 g = 1000 mg → 1 kg = 1,000,000 mg
14.72 × 1,000,000 =
14,720,000 mg
✔ Answer: 14,720,000 mg
---
3. 0.0035 hm = ________ dm
Conversion:
- 1 hm = 100 m
- 1 m = 10 dm → so 1 hm = 100 × 10 = 1000 dm
So: 0.0035 hm × 1000 =
3.5 dm
✔ Answer: 3.5 dm
---
4. 0.134 m = ________ km
Conversion: 1 km = 1000 m → divide by 1000
0.134 ÷ 1000 =
0.000134 km
✔ Answer: 0.000134 km
---
5. 25 mm = ________ cm
Conversion: 1 cm = 10 mm → divide by 10
25 ÷ 10 =
2.5 cm
✔ Answer: 2.5 cm
---
6. 2.5 cm³ = ________ mL
Conversion: 1 cm³ = 1 mL
So: 2.5 cm³ =
2.5 mL
✔ Answer: 2.5 mL
---
7. 243 daL = ________ L
Conversion: 1 daL = 10 L
243 × 10 =
2430 L
✔ Answer: 2430 L
---
8. 45.23 L = ________ mL
Conversion: 1 L = 1000 mL
45.23 × 1000 =
45,230 mL
✔ Answer: 45,230 mL
---
9. 0.035 hL = ________ cL
Conversion:
- 1 hL = 100 L
- 1 L = 100 cL → so 1 hL = 100 × 100 = 10,000 cL
0.035 hL × 10,000 =
350 cL
✔ Answer: 350 cL
---
10. 27.32 mm = ________ m
Conversion: 1 m = 1000 mm → divide by 1000
27.32 ÷ 1000 =
0.02732 m
✔ Answer: 0.02732 m
---
11. 15 m = ________ dm
Conversion: 1 m = 10 dm
15 × 10 =
150 dm
✔ Answer: 150 dm
---
12. 0.023 cc = ________ L
Conversion: 1 cc = 1 mL = 0.001 L
0.023 × 0.001 =
0.000023 L
✔ Answer: 0.000023 L
---
13. 0.00049 km = ________ mm
Conversion:
- 1 km = 1000 m
- 1 m = 1000 mm → 1 km = 1,000,000 mm
0.00049 × 1,000,000 =
490 mm
✔ Answer: 490 mm
---
14. 0.025 kg = ________ g
Conversion: 1 kg = 1000 g
0.025 × 1000 =
25 g
✔ Answer: 25 g
---
15. 15 g = ________ hg
Conversion: 1 hg = 100 g → divide by 100
15 ÷ 100 =
0.15 hg
✔ Answer: 0.15 hg
---
✔ Final Answers:
1. 0.03652 g
2. 14,720,000 mg
3. 3.5 dm
4. 0.000134 km
5. 2.5 cm
6. 2.5 mL
7. 2430 L
8. 45,230 mL
9. 350 cL
10. 0.02732 m
11. 150 dm
12. 0.000023 L
13. 490 mm
14. 25 g
15. 0.15 hg
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Parent Tip: Review the logic above to help your child master the concept of metric conversions chemistry worksheet.