Converting Metric Units - Weight & Volume worksheet with conversion problems and comparison exercises.

Let’s go step by step to solve each part of this worksheet. We’ll convert metric units for weight (grams, kilograms) and volume (liters, milliliters), then compare amounts using >, <, or =.

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Part 1: Converting Metric Units – Weight & Volume

We need to remember:
- 1 kg = 1000 g → so to go from g to kg, divide by 1000; from kg to g, multiply by 1000.
- 1 L = 1000 mL → same idea: divide by 1000 to go mL→L, multiply to go L→mL.

Let’s do each problem:

1) 7540 g = ___ kg
→ 7540 ÷ 1000 = 7.54 kg

2) 49 L = ___ mL
→ 49 × 1000 = 49,000 mL

3) 0.12 kg = ___ g
→ 0.12 × 1000 = 120 g

4) 8345 mL = ___ L
→ 8345 ÷ 1000 = 8.345 L

5) 51 L = ___ mL
→ 51 × 1000 = 51,000 mL

6) 5.54 kg = ___ g
→ 5.54 × 1000 = 5540 g

7) ___ g = 590 mL → Wait! This is tricky. Grams and milliliters are not directly convertible unless we know the substance (like water). But in many school problems, they assume 1 g = 1 mL for water. So if it’s water, then 590 g = 590 mL. We’ll assume that here.

8) 8.6 hg = ___ g → “hg” means hectogram. 1 hg = 100 g.
→ 8.6 × 100 = 860 g

9) ___ L = 3560 mL
→ 3560 ÷ 1000 = 3.56 L

10) ___ kg = 22500 g
→ 22500 ÷ 1000 = 22.5 kg

11) 1650 mL = ___ L
→ 1650 ÷ 1000 = 1.65 L

12) 10 kg = ___ g
→ 10 × 1000 = 10,000 g

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Part 2: Which is the most? Circle the largest amount in each box.

Box 1:
- 0.35 kg = 350 g
- 1100 g
- 900 g
→ Largest is 1100 g

Box 2:
- 3½ L = 3.5 L = 3500 mL
- 3,200 mL
- 3,250 mL
→ 3500 mL is biggest → 3½ L

Box 3:
- 0.18 kg = 180 g
- 125 g
- 0.3 kg = 300 g
→ Largest is 0.3 kg

Box 4:
- 7,680 mL = 7.68 L
- 7¾ L = 7.75 L
- 7,050 mL = 7.05 L
→ 7.75 L is biggest → 7¾ L

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Part 3: Use >, <, or = to compare

Remember: Convert both sides to same unit before comparing.

1) 2.25 kg vs 2,300 g
→ 2.25 kg = 2250 g → 2250 < 2300 → <

2) 2,300 g vs 2½ kg
→ 2½ kg = 2500 g → 2300 < 2500 → <

3) 0.65 L vs 630 mL
→ 0.65 L = 650 mL → 650 > 630 → >

4) 530 mL vs 0.8 kg → Wait! Different units — can’t compare directly unless we assume density. Again, assuming water: 0.8 kg = 800 g = 800 mL → 530 < 800 → <

But let’s check: The problem says “compare the amounts” — probably expects us to treat them as comparable (maybe typo?). Actually, looking again — maybe it’s 0.8 L? Let me re-read.

Wait — original says:
“4) 530 mL ○ 0.8 kg”

That doesn’t make sense unless specified. But in context of worksheet, likely a mistake — perhaps meant 0.8 L? Or maybe 0.8 kg of water = 800 mL? I think we’re supposed to assume 1g=1mL for these comparisons too.

So 0.8 kg = 800 g = 800 mL → 530 mL < 800 mL → <

5) 0.8 kg vs 750 g
→ 0.8 kg = 800 g → 800 > 750 → >

6) 750 g vs 0.65 kg
→ 0.65 kg = 650 g → 750 > 650 → >

7) 250 mL vs 2.5 L
→ 2.5 L = 2500 mL → 250 < 2500 → <

8) 2750 mL vs 0.65 kg → again, assume water: 0.65 kg = 650 g = 650 mL → 2750 > 650 → >

Wait — that seems off. Maybe it’s 0.65 L? Let me check original.

Original: “8) 2750 mL ○ 0.65 kg”

Again, inconsistent units. Perhaps it’s a typo and should be 0.65 L? Because 0.65 L = 650 mL → 2750 > 650 → still >.

But if it’s really 0.65 kg, and we assume water, then yes, 650 mL → 2750 > 650 → >

I think we have to go with assumption.

9) 1650 g vs 1.65 kg
→ 1.65 kg = 1650 g → equal → =

10) 4.25 L vs 425 mL
→ 4.25 L = 4250 mL → 4250 > 425 → >

11) 0.635 mL vs 1.2 kg → again, different units. Assume water: 1.2 kg = 1200 g = 1200 mL → 0.635 < 1200 → <

This one is extreme — 0.635 mL vs 1200 mL → definitely <.

But let’s list all answers clearly.

Actually, let me double-check #4, #8, #11 — they mix mass and volume. In real life, you can’t compare without density, but since this is a grade-school worksheet, they probably expect you to assume 1g = 1mL for all.

So proceeding with that:

Final comparison answers:

1) 2.25 kg < 2,300 g → <
2) 2,300 g < 2½ kg → <
3) 0.65 L > 630 mL → >
4) 530 mL < 0.8 kg (as 800 mL) → <
5) 0.8 kg > 750 g → >
6) 750 g > 0.65 kg → >
7) 250 mL < 2.5 L → <
8) 2750 mL > 0.65 kg (as 650 mL) → >
9) 1650 g = 1.65 kg → =
10) 4.25 L > 425 mL → >
11) 0.635 mL < 1.2 kg (as 1200 mL) → <

Wait — #11 says “0.635 mL” — that’s tiny. And 1.2 kg is huge. Even if not water, 1.2 kg of anything is way more than 0.635 mL of liquid. So definitely <.

But let me confirm all conversions once more.

Also, in #7: 250 mL vs 2.5 L → 2.5 L = 2500 mL → yes, 250 < 2500 → <

All good.

Now, compiling final answers.

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Final Answer:

Conversions:
1) 7.54 kg
2) 49,000 mL
3) 120 g
4) 8.345 L
5) 51,000 mL
6) 5540 g
7) 590 g (assuming water)
8) 860 g
9) 3.56 L
10) 22.5 kg
11) 1.65 L
12) 10,000 g

Which is the most?
Box 1: 1100 g
Box 2: 3½ L
Box 3: 0.3 kg
Box 4: 7¾ L

Comparisons:
1) <
2) <
3) >
4) <
5) >
6) >
7) <
8) >
9) =
10) >
11) <