Metric Conversion Worksheet | Download Free PDF | Metre | Quantity - Free Printable
Educational worksheet: Metric Conversion Worksheet | Download Free PDF | Metre | Quantity. Download and print for classroom or home learning activities.
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Step-by-step solution for: Metric Conversion Worksheet | Download Free PDF | Metre | Quantity
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Show Answer Key & Explanations
Step-by-step solution for: Metric Conversion Worksheet | Download Free PDF | Metre | Quantity
Let’s solve each problem one by one. We’ll use the metric prefix chart at the bottom to help us. Remember:
- To convert DOWN (to smaller units), move decimal RIGHT.
- To convert UP (to larger units), move decimal LEFT.
The prefixes in order from largest to smallest:
Kilo (1000) → Hecto (100) → Deca (10) → BASE (1) → Deci (1/10) → Centi (1/100) → Milli (1/1000)
---
1. 5 meters = ______ km
Meters to kilometers → going UP 3 steps (m → deca → hecto → kilo)
Move decimal LEFT 3 places:
5.0 → 0.005
✔ 0.005 km
---
2. 3 grams = ______ milligrams
Grams to milligrams → going DOWN 3 steps (g → deci → centi → milli)
Move decimal RIGHT 3 places:
3.0 → 3000
✔ 3000 mg
---
3. 7 meters = ______ cm
Meters to centimeters → going DOWN 2 steps (m → deci → centi)
Move decimal RIGHT 2 places:
7.0 → 700
✔ 700 cm
---
4. 60 milligrams = ______ km
Milligrams to kilometers? That’s a huge jump! Let’s go step by step.
First, convert mg to grams:
mg → g is UP 3 steps → move decimal LEFT 3:
60 mg = 0.060 g
Now, grams to kilograms:
g → kg is UP 3 more steps → move decimal LEFT 3 again:
0.060 g = 0.000060 kg
But we need kilometers, not kilograms — wait! This is a trick question. Milligrams are mass, kilometers are distance. You can’t convert between them!
Wait — maybe it’s a typo? But since the worksheet says “convert”, and assuming they meant millimeters to kilometers? Or perhaps it’s testing if you notice?
Actually, looking back — no, the unit is “milligrams” to “km”. That doesn’t make sense physically. But maybe in this context, they just want the numerical conversion as if it were length? That would be wrong scientifically, but let’s assume they meant millimeters to kilometers for consistency with other problems.
Alternatively — perhaps it’s a mistake and should be millimeters? Let me check problem 10: “44 millimeters = ___ m” — so yes, likely a typo here.
But since the problem says “60 milligrams = ___ km”, and that’s impossible, I think we have to assume it’s a typo and they meant millimeters.
So let’s do: 60 millimeters = ______ km
mm → km: going UP 6 steps (mm → cm → dm → m → dam → hm → km)
Move decimal LEFT 6 places:
60.0 → 0.000060
✔ 0.00006 km
*(Note: If strictly following the text, this conversion is invalid — but for worksheet purposes, we’ll proceed as if it’s mm to km.)*
---
5. 2.5 meters = ______ mm
Meters to millimeters → DOWN 3 steps (m → dm → cm → mm)
Move decimal RIGHT 3 places:
2.5 → 2500
✔ 2500 mm
---
6. 4.5 centimeters = ______ km
Centimeters to kilometers → UP 5 steps (cm → dm → m → dam → hm → km)
Move decimal LEFT 5 places:
4.5 → 0.000045
✔ 0.000045 km
---
7. 77 meters = ______ dm
Meters to decimeters → DOWN 1 step (m → dm)
Move decimal RIGHT 1 place:
77.0 → 770
✔ 770 dm
---
8. 37 decimeters = ______ mm
Decimeters to millimeters → DOWN 2 steps (dm → cm → mm)
Move decimal RIGHT 2 places:
37.0 → 3700
✔ 3700 mm
---
9. .002 centimeters = ______ mm
Centimeters to millimeters → DOWN 1 step (cm → mm)
Move decimal RIGHT 1 place:
0.002 → 0.02
✔ 0.02 mm
---
10. 44 millimeters = ______ m
Millimeters to meters → UP 3 steps (mm → cm → dm → m)
Move decimal LEFT 3 places:
44.0 → 0.044
✔ 0.044 m
---
11. 25 kilometers = ______ m
Kilometers to meters → DOWN 3 steps (km → hm → dam → m)
Move decimal RIGHT 3 places:
25.0 → 25000
✔ 25000 m
---
12. 880 meters = ______ cm
Meters to centimeters → DOWN 2 steps (m → dm → cm)
Move decimal RIGHT 2 places:
880.0 → 88000
✔ 88000 cm
---
13. 9.5 kiloliters = ______ deciliters
Kiloliters to deciliters → DOWN 4 steps (kL → hL → daL → L → dL)
Move decimal RIGHT 4 places:
9.5 → 95000
✔ 95000 dL
---
14. 66 decimeters = ______ decameters
Decimeters to decameters → UP 2 steps (dm → m → dam)
Move decimal LEFT 2 places:
66.0 → 0.66
✔ 0.66 dam
---
15. 5 liters = ______ hectoliters
Liters to hectoliters → UP 2 steps (L → daL → hL)
Move decimal LEFT 2 places:
5.0 → 0.05
✔ 0.05 hL
---
Final Answer:
1. 0.005
2. 3000
3. 700
4. 0.00006 *(assuming millimeters to kilometers due to likely typo)*
5. 2500
6. 0.000045
7. 770
8. 3700
9. 0.02
10. 0.044
11. 25000
12. 88000
13. 95000
14. 0.66
15. 0.05
- To convert DOWN (to smaller units), move decimal RIGHT.
- To convert UP (to larger units), move decimal LEFT.
The prefixes in order from largest to smallest:
Kilo (1000) → Hecto (100) → Deca (10) → BASE (1) → Deci (1/10) → Centi (1/100) → Milli (1/1000)
---
1. 5 meters = ______ km
Meters to kilometers → going UP 3 steps (m → deca → hecto → kilo)
Move decimal LEFT 3 places:
5.0 → 0.005
✔ 0.005 km
---
2. 3 grams = ______ milligrams
Grams to milligrams → going DOWN 3 steps (g → deci → centi → milli)
Move decimal RIGHT 3 places:
3.0 → 3000
✔ 3000 mg
---
3. 7 meters = ______ cm
Meters to centimeters → going DOWN 2 steps (m → deci → centi)
Move decimal RIGHT 2 places:
7.0 → 700
✔ 700 cm
---
4. 60 milligrams = ______ km
Milligrams to kilometers? That’s a huge jump! Let’s go step by step.
First, convert mg to grams:
mg → g is UP 3 steps → move decimal LEFT 3:
60 mg = 0.060 g
Now, grams to kilograms:
g → kg is UP 3 more steps → move decimal LEFT 3 again:
0.060 g = 0.000060 kg
But we need kilometers, not kilograms — wait! This is a trick question. Milligrams are mass, kilometers are distance. You can’t convert between them!
Wait — maybe it’s a typo? But since the worksheet says “convert”, and assuming they meant millimeters to kilometers? Or perhaps it’s testing if you notice?
Actually, looking back — no, the unit is “milligrams” to “km”. That doesn’t make sense physically. But maybe in this context, they just want the numerical conversion as if it were length? That would be wrong scientifically, but let’s assume they meant millimeters to kilometers for consistency with other problems.
Alternatively — perhaps it’s a mistake and should be millimeters? Let me check problem 10: “44 millimeters = ___ m” — so yes, likely a typo here.
But since the problem says “60 milligrams = ___ km”, and that’s impossible, I think we have to assume it’s a typo and they meant millimeters.
So let’s do: 60 millimeters = ______ km
mm → km: going UP 6 steps (mm → cm → dm → m → dam → hm → km)
Move decimal LEFT 6 places:
60.0 → 0.000060
✔ 0.00006 km
*(Note: If strictly following the text, this conversion is invalid — but for worksheet purposes, we’ll proceed as if it’s mm to km.)*
---
5. 2.5 meters = ______ mm
Meters to millimeters → DOWN 3 steps (m → dm → cm → mm)
Move decimal RIGHT 3 places:
2.5 → 2500
✔ 2500 mm
---
6. 4.5 centimeters = ______ km
Centimeters to kilometers → UP 5 steps (cm → dm → m → dam → hm → km)
Move decimal LEFT 5 places:
4.5 → 0.000045
✔ 0.000045 km
---
7. 77 meters = ______ dm
Meters to decimeters → DOWN 1 step (m → dm)
Move decimal RIGHT 1 place:
77.0 → 770
✔ 770 dm
---
8. 37 decimeters = ______ mm
Decimeters to millimeters → DOWN 2 steps (dm → cm → mm)
Move decimal RIGHT 2 places:
37.0 → 3700
✔ 3700 mm
---
9. .002 centimeters = ______ mm
Centimeters to millimeters → DOWN 1 step (cm → mm)
Move decimal RIGHT 1 place:
0.002 → 0.02
✔ 0.02 mm
---
10. 44 millimeters = ______ m
Millimeters to meters → UP 3 steps (mm → cm → dm → m)
Move decimal LEFT 3 places:
44.0 → 0.044
✔ 0.044 m
---
11. 25 kilometers = ______ m
Kilometers to meters → DOWN 3 steps (km → hm → dam → m)
Move decimal RIGHT 3 places:
25.0 → 25000
✔ 25000 m
---
12. 880 meters = ______ cm
Meters to centimeters → DOWN 2 steps (m → dm → cm)
Move decimal RIGHT 2 places:
880.0 → 88000
✔ 88000 cm
---
13. 9.5 kiloliters = ______ deciliters
Kiloliters to deciliters → DOWN 4 steps (kL → hL → daL → L → dL)
Move decimal RIGHT 4 places:
9.5 → 95000
✔ 95000 dL
---
14. 66 decimeters = ______ decameters
Decimeters to decameters → UP 2 steps (dm → m → dam)
Move decimal LEFT 2 places:
66.0 → 0.66
✔ 0.66 dam
---
15. 5 liters = ______ hectoliters
Liters to hectoliters → UP 2 steps (L → daL → hL)
Move decimal LEFT 2 places:
5.0 → 0.05
✔ 0.05 hL
---
Final Answer:
1. 0.005
2. 3000
3. 700
4. 0.00006 *(assuming millimeters to kilometers due to likely typo)*
5. 2500
6. 0.000045
7. 770
8. 3700
9. 0.02
10. 0.044
11. 25000
12. 88000
13. 95000
14. 0.66
15. 0.05
Parent Tip: Review the logic above to help your child master the concept of metric conversion worksheet.