Metric Conversion Worksheet - Free Printable
Educational worksheet: Metric Conversion Worksheet. Download and print for classroom or home learning activities.
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Step-by-step solution for: Metric Conversion Worksheet
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Show Answer Key & Explanations
Step-by-step solution for: Metric Conversion Worksheet
Let's solve the problems in your image step by step. The worksheet is about converting metric units of weight and volume, and comparing quantities.
---
We’ll convert each unit using standard metric prefixes:
- Weight (mass):
- 1 kilogram (kg) = 1000 grams (g)
- 1 gram (g) = 1000 milligrams (mg)
- Volume:
- 1 liter (L) = 1000 milliliters (mL)
---
#### Conversions:
1. 3 g = ___ mg
→ 3 × 1000 = 3000 mg
2. 4 L = ___ mL
→ 4 × 1000 = 4000 mL
3. 750 g = ___ kg
→ 750 ÷ 1000 = 0.75 kg
4. 1.6 L = ___ mL
→ 1.6 × 1000 = 1600 mL
5. 1000 mg = ___ g
→ 1000 ÷ 1000 = 1 g
6. ___ mg = 0.8 g
→ 0.8 × 1000 = 800 mg
7. 9000 g = ___ kg
→ 9000 ÷ 1000 = 9 kg
8. 5 L = ___ mL
→ 5 × 1000 = 5000 mL
9. 3000 mL = ___ L
→ 3000 ÷ 1000 = 3 L
10. 2000 mg = ___ g
→ 2000 ÷ 1000 = 2 g
11. 2500 mg = ___ g
→ 2500 ÷ 1000 = 2.5 g
12. 3.5 kg = ___ g
→ 3.5 × 1000 = 3500 g
---
We need to convert all values to the same unit to compare.
#### Row 1:
- 100 g
- 400 mg → 400 ÷ 1000 = 0.4 g
- 3000 mg → 3000 ÷ 1000 = 3 g
- 0.08 kg → 0.08 × 1000 = 80 g
Compare:
- 100 g, 0.4 g, 3 g, 80 g → 100 g is largest ✔
✔ Circle: 100 g
#### Row 2:
- 800 mg → 0.8 g
- 0.02 kg → 20 g
- 2000 mg → 2 g
- 5 L → not comparable (volume vs mass)
Wait! This row has mix of mass and volume? Let's check:
- 800 mg → mass
- 0.02 kg → mass
- 2000 mg → mass
- 5 L → volume
But 5 L is volume, while others are mass. So unless there’s a mistake, this might be an error — but likely it's meant to be 5000 mL or something?
Wait — looking at the original:
> 800 mg 0.02 kg 2000 mg 5 L
This seems inconsistent — 5 L is volume, others are mass. But the instruction says "circle the largest amount", so perhaps we should assume they're all in mass?
Wait — maybe typo? Let's see:
Could “5 L” mean 5000 grams? No — that doesn't make sense.
Alternatively, perhaps it's 5000 mL, but still volume.
Wait — maybe it's a mistake in the problem? Or perhaps 5 L is meant to be 5 kg?
But let's look at the context: previous rows are all mass. Maybe it's 5000 mg? That would make sense.
But as written: 5 L — can't compare with grams/milligrams.
Wait — maybe it's 5000 mL, but again, volume.
So likely a typo. But let’s assume it's 5000 mg? Or perhaps the 5 L is actually 5000 g?
Wait — no. Let's double-check the original image description.
Since you said "I uploaded an image", and I can't view it, but based on your text:
> 800 mg 0.02 kg 2000 mg 5 L
This is problematic because 5 L is volume, others are mass.
But perhaps in context, it's meant to be 5000 g? Or maybe 5000 mL?
Wait — maybe it's 5000 mg? But it says 5 L.
Alternatively, perhaps 5 L is 5000 mL, and if we assume density of water, then 5 L = 5000 g? That could be.
But since this is a metric conversion exercise, and the next section compares mL and L, maybe this is intended to be 5000 mL?
Wait — no, it says 5 L.
Let’s suppose it’s a typo and it should be 5000 mg or 5 kg.
But let’s try to interpret it logically.
Assuming 5 L of water ≈ 5000 g, but that’s not consistent.
Alternatively, perhaps 5 L is a mistake and should be 5000 mL? But still volume.
But in the next part, they compare mL and L, so likely this is all mass.
Wait — maybe it's 5000 g? That would make sense.
But it says 5 L.
Wait — perhaps it's 5000 mL, and we’re to convert to grams assuming water?
That’s possible — in some contexts, 1 mL of water = 1 g, so:
- 5 L = 5000 mL = 5000 g
So:
Convert all to grams:
- 800 mg = 0.8 g
- 0.02 kg = 20 g
- 2000 mg = 2 g
- 5 L = 5000 mL → 5000 g (assuming water)
Then: 0.8 g, 20 g, 2 g, 5000 g → 5 L (5000 g) is largest
So circle 5 L
But only if we assume water density.
In many school problems, especially for beginners, 1 mL = 1 g is assumed.
So yes, 5 L = 5000 mL = 5000 g
So:
- 800 mg = 0.8 g
- 0.02 kg = 20 g
- 2000 mg = 2 g
- 5 L = 5000 g
✔ Largest: 5 L
So circle 5 L
#### Row 3:
- 1000 g
- 2000 mg → 2 g
- 3 kg → 3000 g
- 5000 mL → 5 L → 5000 g (again, assuming water)
So:
- 1000 g
- 2 g
- 3000 g
- 5000 g → largest
So circle 5000 mL
But wait — 5000 mL = 5 L = 5000 g
Yes.
So:
- 1000 g
- 2 g
- 3000 g
- 5000 g → largest
✔ Circle: 5000 mL
But note: this assumes density of water.
So likely, the assumption is that volume in mL = mass in grams.
So proceed accordingly.
---
We need to convert both sides to same unit.
#### 1. 3000 mg ___ 3 g
- 3000 mg = 3 g → =
✔ =
#### 2. 500 mL ___ 2 L
- 500 mL = 0.5 L
- 0.5 L < 2 L → <
✔ <
#### 3. 2.45 kg ___ 2450 g
- 2.45 kg = 2450 g → =
✔ =
#### 4. 1000 mL ___ 1 L
- 1000 mL = 1 L → =
✔ =
#### 5. 3.000 kg ___ 3000 g
- 3.000 kg = 3000 g → =
✔ =
#### 6. 7 kg ___ 7000 g
- 7 kg = 7000 g → =
✔ =
#### 7. 1000 mL ___ 1000 g
Now here’s a trick: mL is volume, g is mass
But if we assume water, then 1 mL = 1 g → so 1000 mL = 1000 g
So → =
✔ =
(Only valid for water, but often assumed in such problems)
#### 8. 3000 mL ___ 3 L
- 3000 mL = 3 L → =
✔ =
#### 9. 8000 g ___ 8 kg
- 8000 g = 8 kg → =
✔ =
#### 10. 120 ___ 1 L
Wait — 120 what? It says:
> 120 ___ 1 L
Possibly typo? Should be 120 mL?
Because 120 mL < 1 L (1000 mL), so <
Likely: 120 mL < 1 L
So assume 120 mL
→ 120 mL < 1000 mL → <
✔ <
---
#### Conversions:
1. 3000 mg
2. 4000 mL
3. 0.75 kg
4. 1600 mL
5. 1 g
6. 800 mg
7. 9 kg
8. 5000 mL
9. 3 L
10. 2 g
11. 2.5 g
12. 3500 g
#### Circle the largest:
- Row 1: 100 g
- Row 2: 5 L (assuming 5 L = 5000 g)
- Row 3: 5000 mL
#### Compare:
1. =
2. <
3. =
4. =
5. =
6. =
7. =
8. =
9. =
10. < (assuming 120 mL)
---
- Always convert to same unit before comparing.
- For volume ↔ mass, assume 1 mL = 1 g (for water).
- Be careful with mixed units.
Let me know if you'd like a printable version or explanation for any specific problem!
---
Part 1: Converting Metric Units
We’ll convert each unit using standard metric prefixes:
- Weight (mass):
- 1 kilogram (kg) = 1000 grams (g)
- 1 gram (g) = 1000 milligrams (mg)
- Volume:
- 1 liter (L) = 1000 milliliters (mL)
---
#### Conversions:
1. 3 g = ___ mg
→ 3 × 1000 = 3000 mg
2. 4 L = ___ mL
→ 4 × 1000 = 4000 mL
3. 750 g = ___ kg
→ 750 ÷ 1000 = 0.75 kg
4. 1.6 L = ___ mL
→ 1.6 × 1000 = 1600 mL
5. 1000 mg = ___ g
→ 1000 ÷ 1000 = 1 g
6. ___ mg = 0.8 g
→ 0.8 × 1000 = 800 mg
7. 9000 g = ___ kg
→ 9000 ÷ 1000 = 9 kg
8. 5 L = ___ mL
→ 5 × 1000 = 5000 mL
9. 3000 mL = ___ L
→ 3000 ÷ 1000 = 3 L
10. 2000 mg = ___ g
→ 2000 ÷ 1000 = 2 g
11. 2500 mg = ___ g
→ 2500 ÷ 1000 = 2.5 g
12. 3.5 kg = ___ g
→ 3.5 × 1000 = 3500 g
---
Part 2: Circle the Largest Amount in Each Row
We need to convert all values to the same unit to compare.
#### Row 1:
- 100 g
- 400 mg → 400 ÷ 1000 = 0.4 g
- 3000 mg → 3000 ÷ 1000 = 3 g
- 0.08 kg → 0.08 × 1000 = 80 g
Compare:
- 100 g, 0.4 g, 3 g, 80 g → 100 g is largest ✔
✔ Circle: 100 g
#### Row 2:
- 800 mg → 0.8 g
- 0.02 kg → 20 g
- 2000 mg → 2 g
- 5 L → not comparable (volume vs mass)
Wait! This row has mix of mass and volume? Let's check:
- 800 mg → mass
- 0.02 kg → mass
- 2000 mg → mass
- 5 L → volume
But 5 L is volume, while others are mass. So unless there’s a mistake, this might be an error — but likely it's meant to be 5000 mL or something?
Wait — looking at the original:
> 800 mg 0.02 kg 2000 mg 5 L
This seems inconsistent — 5 L is volume, others are mass. But the instruction says "circle the largest amount", so perhaps we should assume they're all in mass?
Wait — maybe typo? Let's see:
Could “5 L” mean 5000 grams? No — that doesn't make sense.
Alternatively, perhaps it's 5000 mL, but still volume.
Wait — maybe it's a mistake in the problem? Or perhaps 5 L is meant to be 5 kg?
But let's look at the context: previous rows are all mass. Maybe it's 5000 mg? That would make sense.
But as written: 5 L — can't compare with grams/milligrams.
Wait — maybe it's 5000 mL, but again, volume.
So likely a typo. But let’s assume it's 5000 mg? Or perhaps the 5 L is actually 5000 g?
Wait — no. Let's double-check the original image description.
Since you said "I uploaded an image", and I can't view it, but based on your text:
> 800 mg 0.02 kg 2000 mg 5 L
This is problematic because 5 L is volume, others are mass.
But perhaps in context, it's meant to be 5000 g? Or maybe 5000 mL?
Wait — maybe it's 5000 mg? But it says 5 L.
Alternatively, perhaps 5 L is 5000 mL, and if we assume density of water, then 5 L = 5000 g? That could be.
But since this is a metric conversion exercise, and the next section compares mL and L, maybe this is intended to be 5000 mL?
Wait — no, it says 5 L.
Let’s suppose it’s a typo and it should be 5000 mg or 5 kg.
But let’s try to interpret it logically.
Assuming 5 L of water ≈ 5000 g, but that’s not consistent.
Alternatively, perhaps 5 L is a mistake and should be 5000 mL? But still volume.
But in the next part, they compare mL and L, so likely this is all mass.
Wait — maybe it's 5000 g? That would make sense.
But it says 5 L.
Wait — perhaps it's 5000 mL, and we’re to convert to grams assuming water?
That’s possible — in some contexts, 1 mL of water = 1 g, so:
- 5 L = 5000 mL = 5000 g
So:
Convert all to grams:
- 800 mg = 0.8 g
- 0.02 kg = 20 g
- 2000 mg = 2 g
- 5 L = 5000 mL → 5000 g (assuming water)
Then: 0.8 g, 20 g, 2 g, 5000 g → 5 L (5000 g) is largest
So circle 5 L
But only if we assume water density.
In many school problems, especially for beginners, 1 mL = 1 g is assumed.
So yes, 5 L = 5000 mL = 5000 g
So:
- 800 mg = 0.8 g
- 0.02 kg = 20 g
- 2000 mg = 2 g
- 5 L = 5000 g
✔ Largest: 5 L
So circle 5 L
#### Row 3:
- 1000 g
- 2000 mg → 2 g
- 3 kg → 3000 g
- 5000 mL → 5 L → 5000 g (again, assuming water)
So:
- 1000 g
- 2 g
- 3000 g
- 5000 g → largest
So circle 5000 mL
But wait — 5000 mL = 5 L = 5000 g
Yes.
So:
- 1000 g
- 2 g
- 3000 g
- 5000 g → largest
✔ Circle: 5000 mL
But note: this assumes density of water.
So likely, the assumption is that volume in mL = mass in grams.
So proceed accordingly.
---
Part 3: Use >, <, or = to Compare
We need to convert both sides to same unit.
#### 1. 3000 mg ___ 3 g
- 3000 mg = 3 g → =
✔ =
#### 2. 500 mL ___ 2 L
- 500 mL = 0.5 L
- 0.5 L < 2 L → <
✔ <
#### 3. 2.45 kg ___ 2450 g
- 2.45 kg = 2450 g → =
✔ =
#### 4. 1000 mL ___ 1 L
- 1000 mL = 1 L → =
✔ =
#### 5. 3.000 kg ___ 3000 g
- 3.000 kg = 3000 g → =
✔ =
#### 6. 7 kg ___ 7000 g
- 7 kg = 7000 g → =
✔ =
#### 7. 1000 mL ___ 1000 g
Now here’s a trick: mL is volume, g is mass
But if we assume water, then 1 mL = 1 g → so 1000 mL = 1000 g
So → =
✔ =
(Only valid for water, but often assumed in such problems)
#### 8. 3000 mL ___ 3 L
- 3000 mL = 3 L → =
✔ =
#### 9. 8000 g ___ 8 kg
- 8000 g = 8 kg → =
✔ =
#### 10. 120 ___ 1 L
Wait — 120 what? It says:
> 120 ___ 1 L
Possibly typo? Should be 120 mL?
Because 120 mL < 1 L (1000 mL), so <
Likely: 120 mL < 1 L
So assume 120 mL
→ 120 mL < 1000 mL → <
✔ <
---
✔ Final Answers:
#### Conversions:
1. 3000 mg
2. 4000 mL
3. 0.75 kg
4. 1600 mL
5. 1 g
6. 800 mg
7. 9 kg
8. 5000 mL
9. 3 L
10. 2 g
11. 2.5 g
12. 3500 g
#### Circle the largest:
- Row 1: 100 g
- Row 2: 5 L (assuming 5 L = 5000 g)
- Row 3: 5000 mL
#### Compare:
1. =
2. <
3. =
4. =
5. =
6. =
7. =
8. =
9. =
10. < (assuming 120 mL)
---
🔍 Summary:
- Always convert to same unit before comparing.
- For volume ↔ mass, assume 1 mL = 1 g (for water).
- Be careful with mixed units.
Let me know if you'd like a printable version or explanation for any specific problem!
Parent Tip: Review the logic above to help your child master the concept of converting between units worksheet.