Let's solve each of the metric conversion problems step by step using the
metric prefix chart provided in the image. The chart shows how prefixes relate to the base unit, with each step representing a factor of 10.
Metric Prefixes (from the chart):
-
kilo (k) = 10³ → 1000 times the base
-
hecto (h) = 10² → 100 times
-
deca (da) = 10¹ → 10 times
-
base unit (e.g., gram, meter, liter)
-
deci (d) = 10⁻¹ → 0.1 times
-
centi (c) = 10⁻² → 0.01 times
-
milli (m) = 10⁻³ → 0.001 times
-
micro (μ) = 10⁻⁶ → 0.000001 times
-
nano (n) = 10⁻⁹ → 0.000000001 times
We'll use this to convert between units by moving the decimal point based on the number of steps between prefixes.
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1. Convert 15.8 g to mg
-
g → mg: go from grams to milligrams.
- 1 gram = 1000 milligrams → move decimal
3 places right
- 15.8 g = 15.8 × 1000 =
15,800 mg
✔ Answer: 15,800 mg
---
2. Convert 20.6 m to cm
-
m → cm: meters to centimeters
- 1 m = 100 cm → move decimal
2 places right
- 20.6 × 100 =
2060 cm
✔ Answer: 2060 cm
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3. Convert 78,200,000 g to kg
-
g → kg: grams to kilograms
- 1 kg = 1000 g → divide by 1000 → move decimal
3 places left
- 78,200,000 ÷ 1000 =
78,200 kg
✔ Answer: 78,200 kg
---
4. Convert 8220 mm to cm
-
mm → cm: millimeters to centimeters
- 1 cm = 10 mm → divide by 10 → move decimal
1 place left
- 8220 ÷ 10 =
822 cm
✔ Answer: 822 cm
---
5. Convert 0.664 L to mL
-
L → mL: liters to milliliters
- 1 L = 1000 mL → multiply by 1000 → move decimal
3 places right
- 0.664 × 1000 =
664 mL
✔ Answer: 664 mL
---
6. Convert 263 m to cm
-
m → cm: meters to centimeters
- 1 m = 100 cm → multiply by 100 → move decimal
2 places right
- 263 × 100 =
26,300 cm
✔ Answer: 26,300 cm
---
7. Convert 0.0153 km to m
-
km → m: kilometers to meters
- 1 km = 1000 m → multiply by 1000 → move decimal
3 places right
- 0.0153 × 1000 =
15.3 m
✔ Answer: 15.3 m
---
8. Convert 34,690 mg to g
-
mg → g: milligrams to grams
- 1 g = 1000 mg → divide by 1000 → move decimal
3 places left
- 34,690 ÷ 1000 =
34.69 g
✔ Answer: 34.69 g
---
9. Convert 13,180,000 m to km
-
m → km: meters to kilometers
- 1 km = 1000 m → divide by 1000 → move decimal
3 places left
- 13,180,000 ÷ 1000 =
13,180 km
✔ Answer: 13,180 km
---
10. Convert 293.7 mm to cm
-
mm → cm: millimeters to centimeters
- 1 cm = 10 mm → divide by 10 → move decimal
1 place left
- 293.7 ÷ 10 =
29.37 cm
✔ Answer: 29.37 cm
---
✔ Final Answers:
1.
15,800 mg
2.
2060 cm
3.
78,200 kg
4.
822 cm
5.
664 mL
6.
26,300 cm
7.
15.3 m
8.
34.69 g
9.
13,180 km
10.
29.37 cm
Let me know if you'd like this as a printable answer key!
Parent Tip: Review the logic above to help your child master the concept of metric conversion practice worksheet.
