Let’s go through each conversion one by one. We’ll use the metric system prefixes and their values:
- kilo (k) = 1000
- hecto (h) = 100
- deka (da) = 10
- base unit (m, g, L) = 1
- deci (d) = 0.1
- centi (c) = 0.01
- milli (m) = 0.001
- Also: 1 cm³ = 1 mL (this is a key fact!)
We’ll convert step by step.
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1. 36.52 mg = ______ g
mg → g: divide by 1000 (since milli means 1/1000)
36.52 ÷ 1000 =
0.03652 g
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2. 14.72 kg = ______ mg
kg → g → mg
First, kg to g: multiply by 1000 → 14.72 × 1000 = 14,720 g
Then, g to mg: multiply by 1000 → 14,720 × 1000 =
14,720,000 mg
Or directly: kg to mg is × 1,000,000 → 14.72 × 1,000,000 =
14,720,000 mg
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3. .0035 hm = ______ dm
hm → m → dm
hm to m: × 100 → 0.0035 × 100 = 0.35 m
m to dm: × 10 → 0.35 × 10 =
3.5 dm
Or: hm to dm is × 1000 (because 1 hm = 100 m, 1 m = 10 dm → 100×10=1000)
0.0035 × 1000 =
3.5 dm
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4. .134 m = ______ km
m → km: divide by 1000
0.134 ÷ 1000 =
0.000134 km
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5. 25 mm = ______ cm
mm → cm: divide by 10 (since 10 mm = 1 cm)
25 ÷ 10 =
2.5 cm
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6. 2.5 cm³ = ______ mL
This is a direct equivalence:
1 cm³ = 1 mL
So,
2.5 cm³ = 2.5 mL
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7. 243 daL = ______ L
daL → L: multiply by 10 (deka = 10)
243 × 10 =
2430 L
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8. 45.23 L = ______ mL
L → mL: multiply by 1000
45.23 × 1000 =
45,230 mL
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9. .035 hL = ______ cL
hL → L → cL
hL to L: × 100 → 0.035 × 100 = 3.5 L
L to cL: × 100 → 3.5 × 100 =
350 cL
Or: hL to cL is × 10,000? Let’s check:
1 hL = 100 L
1 L = 100 cL → so 1 hL = 100 × 100 = 10,000 cL
0.035 × 10,000 =
350 cL
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10. 27.32 mm = ______ m
mm → m: divide by 1000
27.32 ÷ 1000 =
0.02732 m
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11. 15 m = ______ dm
m → dm: multiply by 10
15 × 10 =
150 dm
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12. .023 cc = ______ L
Note: “cc” means cubic centimeter, which equals mL.
So, .023 cc = .023 mL
Now, mL → L: divide by 1000
0.023 ÷ 1000 =
0.000023 L
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13. .00049 km = ______ mm
km → m → mm
km to m: × 1000 → 0.00049 × 1000 = 0.49 m
m to mm: × 1000 → 0.49 × 1000 =
490 mm
Or: km to mm is × 1,000,000
0.00049 × 1,000,000 =
490 mm
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14. .025 kg = ______ g
kg → g: × 1000
0.025 × 1000 =
25 g
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15. 15 g = ______ hg
g → hg: divide by 100 (hecto = 100)
15 ÷ 100 =
0.15 hg
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✔ All conversions checked and verified.
Final Answer:
1. 0.03652
2. 14720000
3. 3.5
4. 0.000134
5. 2.5
6. 2.5
7. 2430
8. 45230
9. 350
10. 0.02732
11. 150
12. 0.000023
13. 490
14. 25
15. 0.15
Parent Tip: Review the logic above to help your child master the concept of si units conversion worksheet.
